TSTP Solution File: REL044-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL044-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 19:01:25 EDT 2022
% Result : Unsatisfiable 0.79s 1.46s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL044-2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jul 8 07:49:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.79/1.46 *** allocated 10000 integers for termspace/termends
% 0.79/1.46 *** allocated 10000 integers for clauses
% 0.79/1.46 *** allocated 10000 integers for justifications
% 0.79/1.46 Bliksem 1.12
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 Automatic Strategy Selection
% 0.79/1.46
% 0.79/1.46 Clauses:
% 0.79/1.46 [
% 0.79/1.46 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.79/1.46 [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ],
% 0.79/1.46 [ =( X, join( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.46 complement( join( complement( X ), Y ) ) ) ) ],
% 0.79/1.46 [ =( meet( X, Y ), complement( join( complement( X ), complement( Y ) )
% 0.79/1.46 ) ) ],
% 0.79/1.46 [ =( composition( X, composition( Y, Z ) ), composition( composition( X
% 0.79/1.46 , Y ), Z ) ) ],
% 0.79/1.46 [ =( composition( X, one ), X ) ],
% 0.79/1.46 [ =( composition( join( X, Y ), Z ), join( composition( X, Z ),
% 0.79/1.46 composition( Y, Z ) ) ) ],
% 0.79/1.46 [ =( converse( converse( X ) ), X ) ],
% 0.79/1.46 [ =( converse( join( X, Y ) ), join( converse( X ), converse( Y ) ) ) ]
% 0.79/1.46 ,
% 0.79/1.46 [ =( converse( composition( X, Y ) ), composition( converse( Y ),
% 0.79/1.46 converse( X ) ) ) ],
% 0.79/1.46 [ =( join( composition( converse( X ), complement( composition( X, Y ) )
% 0.79/1.46 ), complement( Y ) ), complement( Y ) ) ],
% 0.79/1.46 [ =( top, join( X, complement( X ) ) ) ],
% 0.79/1.46 [ =( zero, meet( X, complement( X ) ) ) ],
% 0.79/1.46 [ =( join( meet( composition( X, Y ), Z ), composition( meet( X,
% 0.79/1.46 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.79/1.46 ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ), meet(
% 0.79/1.46 Y, composition( converse( X ), Z ) ) ) ) ],
% 0.79/1.46 [ =( join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y
% 0.79/1.46 , composition( converse( X ), Z ) ) ), Z ) ), meet( composition( X, meet(
% 0.79/1.46 Y, composition( converse( X ), Z ) ) ), Z ) ) ],
% 0.79/1.46 [ =( join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.79/1.46 composition( Z, converse( Y ) ) ), Y ), Z ) ), meet( composition( meet( X
% 0.79/1.46 , composition( Z, converse( Y ) ) ), Y ), Z ) ) ],
% 0.79/1.46 [ =( join( composition( complement( sk1 ), sk2 ), complement( sk3 ) ),
% 0.79/1.46 complement( sk3 ) ) ],
% 0.79/1.46 [ ~( =( join( composition( sk3, converse( sk2 ) ), sk1 ), sk1 ) ) ]
% 0.79/1.46 ] .
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 percentage equality = 1.000000, percentage horn = 1.000000
% 0.79/1.46 This is a pure equality problem
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 Options Used:
% 0.79/1.46
% 0.79/1.46 useres = 1
% 0.79/1.46 useparamod = 1
% 0.79/1.46 useeqrefl = 1
% 0.79/1.46 useeqfact = 1
% 0.79/1.46 usefactor = 1
% 0.79/1.46 usesimpsplitting = 0
% 0.79/1.46 usesimpdemod = 5
% 0.79/1.46 usesimpres = 3
% 0.79/1.46
% 0.79/1.46 resimpinuse = 1000
% 0.79/1.46 resimpclauses = 20000
% 0.79/1.46 substype = eqrewr
% 0.79/1.46 backwardsubs = 1
% 0.79/1.46 selectoldest = 5
% 0.79/1.46
% 0.79/1.46 litorderings [0] = split
% 0.79/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.46
% 0.79/1.46 termordering = kbo
% 0.79/1.46
% 0.79/1.46 litapriori = 0
% 0.79/1.46 termapriori = 1
% 0.79/1.46 litaposteriori = 0
% 0.79/1.46 termaposteriori = 0
% 0.79/1.46 demodaposteriori = 0
% 0.79/1.46 ordereqreflfact = 0
% 0.79/1.46
% 0.79/1.46 litselect = negord
% 0.79/1.46
% 0.79/1.46 maxweight = 15
% 0.79/1.46 maxdepth = 30000
% 0.79/1.46 maxlength = 115
% 0.79/1.46 maxnrvars = 195
% 0.79/1.46 excuselevel = 1
% 0.79/1.46 increasemaxweight = 1
% 0.79/1.46
% 0.79/1.46 maxselected = 10000000
% 0.79/1.46 maxnrclauses = 10000000
% 0.79/1.46
% 0.79/1.46 showgenerated = 0
% 0.79/1.46 showkept = 0
% 0.79/1.46 showselected = 0
% 0.79/1.46 showdeleted = 0
% 0.79/1.46 showresimp = 1
% 0.79/1.46 showstatus = 2000
% 0.79/1.46
% 0.79/1.46 prologoutput = 1
% 0.79/1.46 nrgoals = 5000000
% 0.79/1.46 totalproof = 1
% 0.79/1.46
% 0.79/1.46 Symbols occurring in the translation:
% 0.79/1.46
% 0.79/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.46 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.79/1.46 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.79/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.46 join [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.79/1.46 complement [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.79/1.46 meet [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.79/1.46 composition [45, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.79/1.46 one [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.79/1.46 converse [47, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.79/1.46 top [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.79/1.46 zero [49, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.79/1.46 sk1 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.79/1.46 sk2 [51, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.79/1.46 sk3 [52, 0] (w:1, o:7, a:1, s:1, b:0).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 Starting Search:
% 0.79/1.46
% 0.79/1.46 Resimplifying inuse:
% 0.79/1.46 Done
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 Intermediate Status:
% 0.79/1.46 Generated: 24783
% 0.79/1.46 Kept: 2001
% 0.79/1.46 Inuse: 281
% 0.79/1.46 Deleted: 159
% 0.79/1.46 Deletedinuse: 51
% 0.79/1.46
% 0.79/1.46 Resimplifying inuse:
% 0.79/1.46 Done
% 0.79/1.46
% 0.79/1.46 Resimplifying inuse:
% 0.79/1.46 Done
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 Bliksems!, er is een bewijs:
% 0.79/1.46 % SZS status Unsatisfiable
% 0.79/1.46 % SZS output start Refutation
% 0.79/1.46
% 0.79/1.46 clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 2, [ =( join( complement( join( complement( X ), complement( Y ) )
% 0.79/1.46 ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.46 meet( X, Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.79/1.46 composition( X, Y ), Z ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 5, [ =( composition( X, one ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.79/1.46 composition( join( X, Y ), Z ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 0.79/1.46 ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.79/1.46 composition( X, Y ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 10, [ =( join( composition( converse( X ), complement( composition(
% 0.79/1.46 X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet( X
% 0.79/1.46 , composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 0.79/1.46 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 0.79/1.46 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 16, [ =( join( composition( complement( sk1 ), sk2 ), complement(
% 0.79/1.46 sk3 ) ), complement( sk3 ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 17, [ ~( =( join( composition( sk3, converse( sk2 ) ), sk1 ), sk1 )
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 22, [ =( join( join( complement( join( X, Y ) ), X ), Y ), top ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 24, [ ~( =( join( sk1, composition( sk3, converse( sk2 ) ) ), sk1 )
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 27, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top )
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y )
% 0.79/1.46 ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 31, [ =( join( complement( complement( X ) ), top ), join( X, top )
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.79/1.46 converse( Y ), X ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top, X
% 0.79/1.46 ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X, top
% 0.79/1.46 ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 56, [ =( join( zero, top ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 59, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 74, [ =( join( join( Z, converse( X ) ), converse( Y ) ), join( Z,
% 0.79/1.46 converse( join( X, Y ) ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse( Y
% 0.79/1.46 ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 99, [ =( join( composition( converse( X ), complement( composition(
% 0.79/1.46 X, top ) ) ), zero ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 118, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 122, [ =( join( meet( composition( Y, converse( X ) ), Z ),
% 0.79/1.46 composition( meet( Y, composition( Z, X ) ), meet( converse( X ),
% 0.79/1.46 composition( converse( Y ), Z ) ) ) ), composition( meet( Y, composition(
% 0.79/1.46 Z, X ) ), meet( converse( X ), composition( converse( Y ), Z ) ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 134, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top )
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 162, [ =( join( top, top ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 176, [ =( join( top, X ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 201, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 208, [ =( converse( top ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 277, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 283, [ =( converse( one ), one ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 284, [ =( composition( one, X ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 289, [ =( join( complement( X ), complement( X ) ), complement( X )
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 298, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 320, [ =( join( join( complement( Y ), X ), Y ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 322, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 328, [ =( join( meet( X, top ), zero ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 339, [ =( join( X, complement( meet( X, Y ) ) ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 341, [ =( join( meet( X, X ), zero ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 346, [ =( join( zero, meet( X, X ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 352, [ =( join( meet( top, X ), zero ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 353, [ =( join( X, complement( zero ) ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 357, [ =( meet( X, zero ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 366, [ =( join( zero, meet( top, X ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 374, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 384, [ =( meet( X, X ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 385, [ =( join( join( zero, Y ), complement( X ) ), join(
% 0.79/1.46 complement( X ), Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 389, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 394, [ =( join( zero, X ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 395, [ =( join( X, zero ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 398, [ =( join( X, converse( zero ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 400, [ =( join( X, X ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 402, [ =( complement( join( X, complement( Y ) ) ), meet(
% 0.79/1.46 complement( X ), Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 403, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 0.79/1.46 complement( X ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 0.79/1.46 meet( X, Y ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 406, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 408, [ =( converse( zero ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 415, [ =( meet( top, X ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 427, [ =( join( complement( meet( X, Y ) ), X ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 440, [ =( join( complement( meet( Y, X ) ), X ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 447, [ =( meet( meet( X, complement( Y ) ), Y ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 449, [ =( meet( meet( Y, X ), complement( X ) ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 451, [ =( meet( complement( Y ), meet( X, Y ) ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 620, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 0.79/1.46 complement( Y ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 621, [ =( complement( meet( Y, complement( X ) ) ), join(
% 0.79/1.46 complement( Y ), X ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 628, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) ) )
% 0.79/1.46 ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 654, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 655, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero )
% 0.79/1.46 ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 686, [ =( join( complement( converse( X ) ), converse( join( Y, X )
% 0.79/1.46 ) ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 763, [ =( meet( converse( X ), converse( join( Y, X ) ) ), converse(
% 0.79/1.46 X ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 795, [ =( meet( Y, join( X, Y ) ), Y ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 801, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 812, [ =( meet( complement( join( X, Y ) ), X ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 853, [ =( meet( sk3, composition( complement( sk1 ), sk2 ) ), zero
% 0.79/1.46 ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1003, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 1015, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 1028, [ =( join( meet( Y, complement( X ) ), meet( X, Y ) ), Y ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 1182, [ =( meet( complement( Y ), complement( X ) ), complement(
% 0.79/1.46 join( Y, X ) ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1185, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 0.79/1.46 meet( complement( join( X, Y ) ), Z ) ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1200, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero )
% 0.79/1.46 ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1464, [ =( composition( converse( X ), complement( composition( X,
% 0.79/1.46 top ) ) ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1476, [ =( composition( top, complement( composition( top, top ) )
% 0.79/1.46 ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1481, [ =( composition( X, complement( composition( top, top ) ) )
% 0.79/1.46 , zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1482, [ =( composition( X, zero ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 1485, [ =( composition( zero, X ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 2271, [ =( meet( composition( sk3, converse( sk2 ) ), complement(
% 0.79/1.46 sk1 ) ), zero ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 2291, [ =( join( sk1, complement( composition( sk3, converse( sk2 )
% 0.79/1.46 ) ) ), top ) ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 3087, [ =( meet( meet( Y, complement( meet( X, Y ) ) ), X ), zero )
% 0.79/1.46 ] )
% 0.79/1.46 .
% 0.79/1.46 clause( 3609, [ =( meet( Y, join( complement( X ), meet( Y, X ) ) ), Y ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 3640, [ =( meet( Y, join( meet( Y, X ), complement( X ) ) ), Y ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 3737, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X ) ]
% 0.79/1.46 )
% 0.79/1.46 .
% 0.79/1.46 clause( 3769, [] )
% 0.79/1.46 .
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 % SZS output end Refutation
% 0.79/1.46 found a proof!
% 0.79/1.46
% 0.79/1.46 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.46
% 0.79/1.46 initialclauses(
% 0.79/1.46 [ clause( 3771, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.46 , clause( 3772, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ]
% 0.79/1.46 )
% 0.79/1.46 , clause( 3773, [ =( X, join( complement( join( complement( X ), complement(
% 0.79/1.46 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 0.79/1.46 , clause( 3774, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.46 complement( Y ) ) ) ) ] )
% 0.79/1.46 , clause( 3775, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.79/1.46 composition( X, Y ), Z ) ) ] )
% 0.79/1.46 , clause( 3776, [ =( composition( X, one ), X ) ] )
% 0.79/1.46 , clause( 3777, [ =( composition( join( X, Y ), Z ), join( composition( X,
% 0.79/1.46 Z ), composition( Y, Z ) ) ) ] )
% 0.79/1.46 , clause( 3778, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.46 , clause( 3779, [ =( converse( join( X, Y ) ), join( converse( X ),
% 0.79/1.46 converse( Y ) ) ) ] )
% 0.79/1.46 , clause( 3780, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.79/1.46 Y ), converse( X ) ) ) ] )
% 0.79/1.46 , clause( 3781, [ =( join( composition( converse( X ), complement(
% 0.79/1.46 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.79/1.46 , clause( 3782, [ =( top, join( X, complement( X ) ) ) ] )
% 0.79/1.46 , clause( 3783, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.79/1.46 , clause( 3784, [ =( join( meet( composition( X, Y ), Z ), composition(
% 0.79/1.46 meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.79/1.46 converse( X ), Z ) ) ) ), composition( meet( X, composition( Z, converse(
% 0.79/1.46 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 0.79/1.46 , clause( 3785, [ =( join( meet( composition( X, Y ), Z ), meet(
% 0.79/1.46 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ), meet(
% 0.79/1.46 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) ] )
% 0.79/1.46 , clause( 3786, [ =( join( meet( composition( X, Y ), Z ), meet(
% 0.79/1.46 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ), meet(
% 0.79/1.46 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) ] )
% 0.79/1.46 , clause( 3787, [ =( join( composition( complement( sk1 ), sk2 ),
% 0.79/1.46 complement( sk3 ) ), complement( sk3 ) ) ] )
% 0.79/1.46 , clause( 3788, [ ~( =( join( composition( sk3, converse( sk2 ) ), sk1 ),
% 0.79/1.46 sk1 ) ) ] )
% 0.79/1.46 ] ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.46 , clause( 3771, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.46 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.46 , clause( 3772, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ]
% 0.79/1.46 )
% 0.79/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 eqswap(
% 0.79/1.46 clause( 3791, [ =( join( complement( join( complement( X ), complement( Y )
% 0.79/1.46 ) ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 0.79/1.46 , clause( 3773, [ =( X, join( complement( join( complement( X ), complement(
% 0.79/1.46 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 0.79/1.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 2, [ =( join( complement( join( complement( X ), complement( Y ) )
% 0.79/1.46 ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 0.79/1.46 , clause( 3791, [ =( join( complement( join( complement( X ), complement( Y
% 0.79/1.46 ) ) ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.46 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 eqswap(
% 0.79/1.46 clause( 3794, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.46 meet( X, Y ) ) ] )
% 0.79/1.46 , clause( 3774, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.46 complement( Y ) ) ) ) ] )
% 0.79/1.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.46 meet( X, Y ) ) ] )
% 0.79/1.46 , clause( 3794, [ =( complement( join( complement( X ), complement( Y ) ) )
% 0.79/1.46 , meet( X, Y ) ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.46 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.79/1.46 composition( X, Y ), Z ) ) ] )
% 0.79/1.46 , clause( 3775, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.79/1.46 composition( X, Y ), Z ) ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 5, [ =( composition( X, one ), X ) ] )
% 0.79/1.46 , clause( 3776, [ =( composition( X, one ), X ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 eqswap(
% 0.79/1.46 clause( 3809, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.79/1.46 composition( join( X, Y ), Z ) ) ] )
% 0.79/1.46 , clause( 3777, [ =( composition( join( X, Y ), Z ), join( composition( X,
% 0.79/1.46 Z ), composition( Y, Z ) ) ) ] )
% 0.79/1.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.79/1.46 composition( join( X, Y ), Z ) ) ] )
% 0.79/1.46 , clause( 3809, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.79/1.46 composition( join( X, Y ), Z ) ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.46 , clause( 3778, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 eqswap(
% 0.79/1.46 clause( 3824, [ =( join( converse( X ), converse( Y ) ), converse( join( X
% 0.79/1.46 , Y ) ) ) ] )
% 0.79/1.46 , clause( 3779, [ =( converse( join( X, Y ) ), join( converse( X ),
% 0.79/1.46 converse( Y ) ) ) ] )
% 0.79/1.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.46
% 0.79/1.46
% 0.79/1.46 subsumption(
% 0.79/1.46 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , clause( 3824, [ =( join( converse( X ), converse( Y ) ), converse( join(
% 0.79/1.47 X, Y ) ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3833, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.79/1.47 composition( X, Y ) ) ) ] )
% 0.79/1.47 , clause( 3780, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.79/1.47 Y ), converse( X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.79/1.47 composition( X, Y ) ) ) ] )
% 0.79/1.47 , clause( 3833, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.79/1.47 composition( X, Y ) ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 10, [ =( join( composition( converse( X ), complement( composition(
% 0.79/1.47 X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.79/1.47 , clause( 3781, [ =( join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3854, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , clause( 3782, [ =( top, join( X, complement( X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , clause( 3854, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3866, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.79/1.47 , clause( 3783, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.79/1.47 , clause( 3866, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet( X
% 0.79/1.47 , composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 0.79/1.47 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 0.79/1.47 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 0.79/1.47 , clause( 3784, [ =( join( meet( composition( X, Y ), Z ), composition(
% 0.79/1.47 meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.79/1.47 converse( X ), Z ) ) ) ), composition( meet( X, composition( Z, converse(
% 0.79/1.47 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 16, [ =( join( composition( complement( sk1 ), sk2 ), complement(
% 0.79/1.47 sk3 ) ), complement( sk3 ) ) ] )
% 0.79/1.47 , clause( 3787, [ =( join( composition( complement( sk1 ), sk2 ),
% 0.79/1.47 complement( sk3 ) ), complement( sk3 ) ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 17, [ ~( =( join( composition( sk3, converse( sk2 ) ), sk1 ), sk1 )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 3788, [ ~( =( join( composition( sk3, converse( sk2 ) ), sk1 ),
% 0.79/1.47 sk1 ) ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3913, [ =( top, join( X, complement( X ) ) ) ] )
% 0.79/1.47 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3914, [ =( top, join( complement( X ), X ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 3913, [ =( top, join( X, complement( X ) ) ) ] )
% 0.79/1.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, complement( X ) )] ),
% 0.79/1.47 substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3917, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , clause( 3914, [ =( top, join( complement( X ), X ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , clause( 3917, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3918, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3923, [ =( join( join( X, Y ), Z ), join( X, join( Z, Y ) ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 3918, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3936, [ =( join( join( X, Y ), Z ), join( join( X, Z ), Y ) ) ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, clause( 3923, [ =( join( join( X, Y ), Z ), join( X, join( Z, Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.79/1.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ] )
% 0.79/1.47 , clause( 3936, [ =( join( join( X, Y ), Z ), join( join( X, Z ), Y ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.79/1.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3938, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3941, [ =( join( join( X, Y ), complement( Y ) ), join( X, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , 0, clause( 3938, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, Y ), :=( Z, complement( Y ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , clause( 3941, [ =( join( join( X, Y ), complement( Y ) ), join( X, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3945, [ =( top, join( complement( X ), X ) ) ] )
% 0.79/1.47 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3947, [ =( top, join( join( complement( join( X, Y ) ), X ), Y ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, clause( 3945, [ =( top, join( complement( X ), X ) ) ] )
% 0.79/1.47 , 0, 2, substitution( 0, [ :=( X, complement( join( X, Y ) ) ), :=( Y, X )
% 0.79/1.47 , :=( Z, Y )] ), substitution( 1, [ :=( X, join( X, Y ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3948, [ =( join( join( complement( join( X, Y ) ), X ), Y ), top )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 3947, [ =( top, join( join( complement( join( X, Y ) ), X ), Y )
% 0.79/1.47 ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 22, [ =( join( join( complement( join( X, Y ) ), X ), Y ), top ) ]
% 0.79/1.47 )
% 0.79/1.47 , clause( 3948, [ =( join( join( complement( join( X, Y ) ), X ), Y ), top
% 0.79/1.47 ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3949, [ ~( =( sk1, join( composition( sk3, converse( sk2 ) ), sk1 )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 17, [ ~( =( join( composition( sk3, converse( sk2 ) ), sk1 ), sk1
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3950, [ ~( =( sk1, join( sk1, composition( sk3, converse( sk2 ) ) )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 3949, [ ~( =( sk1, join( composition( sk3, converse( sk2 ) ),
% 0.79/1.47 sk1 ) ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [ :=( X, composition( sk3, converse( sk2 ) ) ),
% 0.79/1.47 :=( Y, sk1 )] ), substitution( 1, [] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3953, [ ~( =( join( sk1, composition( sk3, converse( sk2 ) ) ), sk1
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 3950, [ ~( =( sk1, join( sk1, composition( sk3, converse( sk2 ) )
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 24, [ ~( =( join( sk1, composition( sk3, converse( sk2 ) ) ), sk1 )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 3953, [ ~( =( join( sk1, composition( sk3, converse( sk2 ) ) ),
% 0.79/1.47 sk1 ) ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3954, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3957, [ =( join( X, top ), join( complement( Y ), join( X, Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 3954, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, join( X, Y ) ), :=( Y, complement( Y ) )] )
% 0.79/1.47 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3970, [ =( join( X, top ), join( join( complement( Y ), X ), Y ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, clause( 3957, [ =( join( X, top ), join( complement( Y ), join( X, Y )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, complement( Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.79/1.47 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3971, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 3970, [ =( join( X, top ), join( join( complement( Y ), X ), Y )
% 0.79/1.47 ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 27, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , clause( 3971, [ =( join( join( complement( Y ), X ), Y ), join( X, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3972, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3975, [ =( join( X, top ), join( join( Y, X ), complement( Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 3972, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3988, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 3975, [ =( join( X, top ), join( join( Y, X ), complement( Y ) )
% 0.79/1.47 ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , clause( 3988, [ =( join( join( Y, X ), complement( Y ) ), join( X, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3990, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3991, [ =( join( X, top ), join( top, complement( complement( X ) )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , 0, clause( 3990, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, complement( X ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3992, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 3991, [ =( join( X, top ), join( top, complement( complement( X )
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 3992, [ =( join( top, complement( complement( X ) ) ), join( X,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3995, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, clause( 2, [ =( join( complement( join( complement( X ), complement( Y
% 0.79/1.47 ) ) ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 0.79/1.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y )
% 0.79/1.47 ) ), X ) ] )
% 0.79/1.47 , clause( 3995, [ =( join( meet( X, Y ), complement( join( complement( X )
% 0.79/1.47 , Y ) ) ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 3997, [ =( join( X, top ), join( top, complement( complement( X ) )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 3999, [ =( join( X, top ), join( complement( complement( X ) ), top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 3997, [ =( join( X, top ), join( top, complement( complement(
% 0.79/1.47 X ) ) ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, top ), :=( Y, complement( complement( X )
% 0.79/1.47 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4005, [ =( join( complement( complement( X ) ), top ), join( X, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 3999, [ =( join( X, top ), join( complement( complement( X ) ),
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 31, [ =( join( complement( complement( X ) ), top ), join( X, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 4005, [ =( join( complement( complement( X ) ), top ), join( X,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4007, [ =( converse( composition( Y, X ) ), composition( converse(
% 0.79/1.47 X ), converse( Y ) ) ) ] )
% 0.79/1.47 , clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.79/1.47 composition( X, Y ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4009, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.79/1.47 converse( Y ), X ) ) ] )
% 0.79/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.47 , 0, clause( 4007, [ =( converse( composition( Y, X ) ), composition(
% 0.79/1.47 converse( X ), converse( Y ) ) ) ] )
% 0.79/1.47 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.79/1.47 :=( Y, converse( X ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.79/1.47 converse( Y ), X ) ) ] )
% 0.79/1.47 , clause( 4009, [ =( converse( composition( converse( X ), Y ) ),
% 0.79/1.47 composition( converse( Y ), X ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4012, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4014, [ =( meet( X, Y ), complement( join( complement( Y ),
% 0.79/1.47 complement( X ) ) ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 4012, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, complement( X ) ), :=( Y, complement( Y )
% 0.79/1.47 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4016, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, clause( 4014, [ =( meet( X, Y ), complement( join( complement( Y ),
% 0.79/1.47 complement( X ) ) ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 0.79/1.47 , clause( 4016, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4018, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4021, [ =( meet( X, complement( X ) ), complement( top ) ) ] )
% 0.79/1.47 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , 0, clause( 4018, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, complement( X ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4022, [ =( zero, complement( top ) ) ] )
% 0.79/1.47 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.79/1.47 , 0, clause( 4021, [ =( meet( X, complement( X ) ), complement( top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4023, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , clause( 4022, [ =( zero, complement( top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , clause( 4023, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4025, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4026, [ =( meet( top, X ), complement( join( zero, complement( X )
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4025, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, top ), :=( Y, X )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4028, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 0.79/1.47 X ) ) ] )
% 0.79/1.47 , clause( 4026, [ =( meet( top, X ), complement( join( zero, complement( X
% 0.79/1.47 ) ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top, X
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 4028, [ =( complement( join( zero, complement( X ) ) ), meet( top
% 0.79/1.47 , X ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4031, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4033, [ =( meet( X, top ), complement( join( complement( X ), zero
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4031, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, top )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4035, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , clause( 4033, [ =( meet( X, top ), complement( join( complement( X ),
% 0.79/1.47 zero ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 4035, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4037, [ =( top, join( complement( X ), X ) ) ] )
% 0.79/1.47 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4038, [ =( top, join( zero, top ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4037, [ =( top, join( complement( X ), X ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, top )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4039, [ =( join( zero, top ), top ) ] )
% 0.79/1.47 , clause( 4038, [ =( top, join( zero, top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 56, [ =( join( zero, top ), top ) ] )
% 0.79/1.47 , clause( 4039, [ =( join( zero, top ), top ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4041, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4043, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 0.79/1.47 , clause( 56, [ =( join( zero, top ), top ) ] )
% 0.79/1.47 , 0, clause( 4041, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, zero )
% 0.79/1.47 , :=( Z, top )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 59, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 0.79/1.47 , clause( 4043, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4047, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.79/1.47 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4051, [ =( join( join( X, converse( Y ) ), converse( Z ) ), join( X
% 0.79/1.47 , converse( join( Y, Z ) ) ) ) ] )
% 0.79/1.47 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 0.79/1.47 Y ) ) ) ] )
% 0.79/1.47 , 0, clause( 4047, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, converse( Y ) ), :=( Z, converse( Z ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 74, [ =( join( join( Z, converse( X ) ), converse( Y ) ), join( Z,
% 0.79/1.47 converse( join( X, Y ) ) ) ) ] )
% 0.79/1.47 , clause( 4051, [ =( join( join( X, converse( Y ) ), converse( Z ) ), join(
% 0.79/1.47 X, converse( join( Y, Z ) ) ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.79/1.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4055, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 0.79/1.47 Y ) ) ) ] )
% 0.79/1.47 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 0.79/1.47 Y ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4056, [ =( converse( join( converse( X ), Y ) ), join( X, converse(
% 0.79/1.47 Y ) ) ) ] )
% 0.79/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.47 , 0, clause( 4055, [ =( converse( join( X, Y ) ), join( converse( X ),
% 0.79/1.47 converse( Y ) ) ) ] )
% 0.79/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.79/1.47 converse( X ) ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse( Y
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , clause( 4056, [ =( converse( join( converse( X ), Y ) ), join( X,
% 0.79/1.47 converse( Y ) ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4061, [ =( complement( Y ), join( composition( converse( X ),
% 0.79/1.47 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 0.79/1.47 , clause( 10, [ =( join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4063, [ =( complement( top ), join( composition( converse( X ),
% 0.79/1.47 complement( composition( X, top ) ) ), zero ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4061, [ =( complement( Y ), join( composition( converse( X ),
% 0.79/1.47 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 0.79/1.47 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, top )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4064, [ =( zero, join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, top ) ) ), zero ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4063, [ =( complement( top ), join( composition( converse( X )
% 0.79/1.47 , complement( composition( X, top ) ) ), zero ) ) ] )
% 0.79/1.47 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4066, [ =( join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, top ) ) ), zero ), zero ) ] )
% 0.79/1.47 , clause( 4064, [ =( zero, join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, top ) ) ), zero ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 99, [ =( join( composition( converse( X ), complement( composition(
% 0.79/1.47 X, top ) ) ), zero ), zero ) ] )
% 0.79/1.47 , clause( 4066, [ =( join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, top ) ) ), zero ), zero ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4069, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4071, [ =( join( meet( composition( X, Y ), Z ), top ), join(
% 0.79/1.47 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.79/1.47 composition( converse( X ), Z ) ) ), complement( composition( meet( X,
% 0.79/1.47 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.79/1.47 ) ) ) ) ) ) ] )
% 0.79/1.47 , clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet(
% 0.79/1.47 X, composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 0.79/1.47 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 0.79/1.47 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 0.79/1.47 , 0, clause( 4069, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.47 substitution( 1, [ :=( X, meet( composition( X, Y ), Z ) ), :=( Y,
% 0.79/1.47 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.79/1.47 composition( converse( X ), Z ) ) ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4072, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 0.79/1.47 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.79/1.47 , 0, clause( 4071, [ =( join( meet( composition( X, Y ), Z ), top ), join(
% 0.79/1.47 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.79/1.47 composition( converse( X ), Z ) ) ), complement( composition( meet( X,
% 0.79/1.47 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.79/1.47 ) ) ) ) ) ) ] )
% 0.79/1.47 , 0, 8, substitution( 0, [ :=( X, composition( meet( X, composition( Z,
% 0.79/1.47 converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) )] ),
% 0.79/1.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 118, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 0.79/1.47 , clause( 4072, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ]
% 0.79/1.47 )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4075, [ =( composition( meet( X, composition( Z, converse( Y ) ) )
% 0.79/1.47 , meet( Y, composition( converse( X ), Z ) ) ), join( meet( composition(
% 0.79/1.47 X, Y ), Z ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 0.79/1.47 meet( Y, composition( converse( X ), Z ) ) ) ) ) ] )
% 0.79/1.47 , clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet(
% 0.79/1.47 X, composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 0.79/1.47 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 0.79/1.47 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4077, [ =( composition( meet( X, composition( Y, converse( converse(
% 0.79/1.47 Z ) ) ) ), meet( converse( Z ), composition( converse( X ), Y ) ) ), join(
% 0.79/1.47 meet( composition( X, converse( Z ) ), Y ), composition( meet( X,
% 0.79/1.47 composition( Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y
% 0.79/1.47 ) ) ) ) ) ] )
% 0.79/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.47 , 0, clause( 4075, [ =( composition( meet( X, composition( Z, converse( Y )
% 0.79/1.47 ) ), meet( Y, composition( converse( X ), Z ) ) ), join( meet(
% 0.79/1.47 composition( X, Y ), Z ), composition( meet( X, composition( Z, converse(
% 0.79/1.47 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) ) ] )
% 0.79/1.47 , 0, 28, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, converse( Z ) ), :=( Z, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4081, [ =( composition( meet( X, composition( Y, Z ) ), meet(
% 0.79/1.47 converse( Z ), composition( converse( X ), Y ) ) ), join( meet(
% 0.79/1.47 composition( X, converse( Z ) ), Y ), composition( meet( X, composition(
% 0.79/1.47 Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y ) ) ) ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.47 , 0, clause( 4077, [ =( composition( meet( X, composition( Y, converse(
% 0.79/1.47 converse( Z ) ) ) ), meet( converse( Z ), composition( converse( X ), Y )
% 0.79/1.47 ) ), join( meet( composition( X, converse( Z ) ), Y ), composition( meet(
% 0.79/1.47 X, composition( Y, Z ) ), meet( converse( Z ), composition( converse( X )
% 0.79/1.47 , Y ) ) ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4083, [ =( join( meet( composition( X, converse( Z ) ), Y ),
% 0.79/1.47 composition( meet( X, composition( Y, Z ) ), meet( converse( Z ),
% 0.79/1.47 composition( converse( X ), Y ) ) ) ), composition( meet( X, composition(
% 0.79/1.47 Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y ) ) ) ) ] )
% 0.79/1.47 , clause( 4081, [ =( composition( meet( X, composition( Y, Z ) ), meet(
% 0.79/1.47 converse( Z ), composition( converse( X ), Y ) ) ), join( meet(
% 0.79/1.47 composition( X, converse( Z ) ), Y ), composition( meet( X, composition(
% 0.79/1.47 Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y ) ) ) ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 122, [ =( join( meet( composition( Y, converse( X ) ), Z ),
% 0.79/1.47 composition( meet( Y, composition( Z, X ) ), meet( converse( X ),
% 0.79/1.47 composition( converse( Y ), Z ) ) ) ), composition( meet( Y, composition(
% 0.79/1.47 Z, X ) ), meet( converse( X ), composition( converse( Y ), Z ) ) ) ) ] )
% 0.79/1.47 , clause( 4083, [ =( join( meet( composition( X, converse( Z ) ), Y ),
% 0.79/1.47 composition( meet( X, composition( Y, Z ) ), meet( converse( Z ),
% 0.79/1.47 composition( converse( X ), Y ) ) ) ), composition( meet( X, composition(
% 0.79/1.47 Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y ) ) ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.79/1.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4089, [ =( top, join( meet( composition( X, Y ), Z ), top ) ) ] )
% 0.79/1.47 , clause( 118, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4090, [ =( top, join( meet( X, Y ), top ) ) ] )
% 0.79/1.47 , clause( 5, [ =( composition( X, one ), X ) ] )
% 0.79/1.47 , 0, clause( 4089, [ =( top, join( meet( composition( X, Y ), Z ), top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, one ), :=( Z, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4091, [ =( join( meet( X, Y ), top ), top ) ] )
% 0.79/1.47 , clause( 4090, [ =( top, join( meet( X, Y ), top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 0.79/1.47 , clause( 4091, [ =( join( meet( X, Y ), top ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4093, [ =( join( Y, top ), join( join( X, Y ), complement( X ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4095, [ =( join( top, top ), join( top, complement( meet( X, Y ) )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 0.79/1.47 , 0, clause( 4093, [ =( join( Y, top ), join( join( X, Y ), complement( X )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.47 :=( X, meet( X, Y ) ), :=( Y, top )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4097, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 4095, [ =( join( top, top ), join( top, complement( meet( X, Y )
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 134, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 4097, [ =( join( top, complement( meet( X, Y ) ) ), join( top,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4099, [ =( join( X, top ), join( top, complement( complement( X ) )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4102, [ =( join( join( complement( X ), zero ), top ), join( top,
% 0.79/1.47 complement( meet( X, top ) ) ) ) ] )
% 0.79/1.47 , clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , 0, clause( 4099, [ =( join( X, top ), join( top, complement( complement(
% 0.79/1.47 X ) ) ) ) ] )
% 0.79/1.47 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, join(
% 0.79/1.47 complement( X ), zero ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4103, [ =( join( join( complement( X ), zero ), top ), join( top,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , clause( 134, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, clause( 4102, [ =( join( join( complement( X ), zero ), top ), join(
% 0.79/1.47 top, complement( meet( X, top ) ) ) ) ] )
% 0.79/1.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, top )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4104, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 0.79/1.47 , clause( 59, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 0.79/1.47 , 0, clause( 4103, [ =( join( join( complement( X ), zero ), top ), join(
% 0.79/1.47 top, top ) ) ] )
% 0.79/1.47 , 0, 1, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 0.79/1.47 , clause( 4104, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4107, [ =( join( top, top ), join( complement( X ), top ) ) ] )
% 0.79/1.47 , clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4109, [ =( join( top, top ), join( meet( X, top ), top ) ) ] )
% 0.79/1.47 , clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 0.79/1.47 top ) ) ] )
% 0.79/1.47 , 0, clause( 4107, [ =( join( top, top ), join( complement( X ), top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, join(
% 0.79/1.47 complement( X ), zero ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4110, [ =( join( top, top ), top ) ] )
% 0.79/1.47 , clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 0.79/1.47 , 0, clause( 4109, [ =( join( top, top ), join( meet( X, top ), top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, top )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 162, [ =( join( top, top ), top ) ] )
% 0.79/1.47 , clause( 4110, [ =( join( top, top ), top ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4112, [ =( join( top, top ), join( complement( X ), top ) ) ] )
% 0.79/1.47 , clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4115, [ =( join( top, top ), join( X, top ) ) ] )
% 0.79/1.47 , clause( 31, [ =( join( complement( complement( X ) ), top ), join( X, top
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, clause( 4112, [ =( join( top, top ), join( complement( X ), top ) ) ]
% 0.79/1.47 )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.79/1.47 complement( X ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4116, [ =( top, join( X, top ) ) ] )
% 0.79/1.47 , clause( 162, [ =( join( top, top ), top ) ] )
% 0.79/1.47 , 0, clause( 4115, [ =( join( top, top ), join( X, top ) ) ] )
% 0.79/1.47 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4117, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , clause( 4116, [ =( top, join( X, top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , clause( 4117, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4118, [ =( top, join( X, top ) ) ] )
% 0.79/1.47 , clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4119, [ =( top, join( top, X ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 4118, [ =( top, join( X, top ) ) ] )
% 0.79/1.47 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, top )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4122, [ =( join( top, X ), top ) ] )
% 0.79/1.47 , clause( 4119, [ =( top, join( top, X ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 176, [ =( join( top, X ), top ) ] )
% 0.79/1.47 , clause( 4122, [ =( join( top, X ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4124, [ =( join( X, converse( Y ) ), converse( join( converse( X )
% 0.79/1.47 , Y ) ) ) ] )
% 0.79/1.47 , clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse(
% 0.79/1.47 Y ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4125, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 0.79/1.47 , clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , 0, clause( 4124, [ =( join( X, converse( Y ) ), converse( join( converse(
% 0.79/1.47 X ), Y ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, top )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 201, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 0.79/1.47 , clause( 4125, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4127, [ =( converse( top ), join( X, converse( top ) ) ) ] )
% 0.79/1.47 , clause( 201, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4129, [ =( converse( top ), top ) ] )
% 0.79/1.47 , clause( 176, [ =( join( top, X ), top ) ] )
% 0.79/1.47 , 0, clause( 4127, [ =( converse( top ), join( X, converse( top ) ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [ :=( X, converse( top ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, top )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 208, [ =( converse( top ), top ) ] )
% 0.79/1.47 , clause( 4129, [ =( converse( top ), top ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4132, [ =( composition( converse( Y ), X ), converse( composition(
% 0.79/1.47 converse( X ), Y ) ) ) ] )
% 0.79/1.47 , clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.79/1.47 converse( Y ), X ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4135, [ =( composition( converse( one ), X ), converse( converse( X
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , clause( 5, [ =( composition( X, one ), X ) ] )
% 0.79/1.47 , 0, clause( 4132, [ =( composition( converse( Y ), X ), converse(
% 0.79/1.47 composition( converse( X ), Y ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, one )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4136, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.79/1.47 , 0, clause( 4135, [ =( composition( converse( one ), X ), converse(
% 0.79/1.47 converse( X ) ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 277, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.47 , clause( 4136, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4138, [ =( X, composition( converse( one ), X ) ) ] )
% 0.79/1.47 , clause( 277, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4140, [ =( one, converse( one ) ) ] )
% 0.79/1.47 , clause( 5, [ =( composition( X, one ), X ) ] )
% 0.79/1.47 , 0, clause( 4138, [ =( X, composition( converse( one ), X ) ) ] )
% 0.79/1.47 , 0, 2, substitution( 0, [ :=( X, converse( one ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, one )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4141, [ =( converse( one ), one ) ] )
% 0.79/1.47 , clause( 4140, [ =( one, converse( one ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 283, [ =( converse( one ), one ) ] )
% 0.79/1.47 , clause( 4141, [ =( converse( one ), one ) ] )
% 0.79/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4143, [ =( X, composition( converse( one ), X ) ) ] )
% 0.79/1.47 , clause( 277, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4144, [ =( X, composition( one, X ) ) ] )
% 0.79/1.47 , clause( 283, [ =( converse( one ), one ) ] )
% 0.79/1.47 , 0, clause( 4143, [ =( X, composition( converse( one ), X ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4145, [ =( composition( one, X ), X ) ] )
% 0.79/1.47 , clause( 4144, [ =( X, composition( one, X ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 284, [ =( composition( one, X ), X ) ] )
% 0.79/1.47 , clause( 4145, [ =( composition( one, X ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4147, [ =( complement( Y ), join( composition( converse( X ),
% 0.79/1.47 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 0.79/1.47 , clause( 10, [ =( join( composition( converse( X ), complement(
% 0.79/1.47 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4149, [ =( complement( X ), join( composition( converse( one ),
% 0.79/1.47 complement( X ) ), complement( X ) ) ) ] )
% 0.79/1.47 , clause( 284, [ =( composition( one, X ), X ) ] )
% 0.79/1.47 , 0, clause( 4147, [ =( complement( Y ), join( composition( converse( X ),
% 0.79/1.47 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 0.79/1.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 0.79/1.47 :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4150, [ =( complement( X ), join( complement( X ), complement( X )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 277, [ =( composition( converse( one ), X ), X ) ] )
% 0.79/1.47 , 0, clause( 4149, [ =( complement( X ), join( composition( converse( one )
% 0.79/1.47 , complement( X ) ), complement( X ) ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4151, [ =( join( complement( X ), complement( X ) ), complement( X
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 4150, [ =( complement( X ), join( complement( X ), complement( X
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 289, [ =( join( complement( X ), complement( X ) ), complement( X )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 4151, [ =( join( complement( X ), complement( X ) ), complement(
% 0.79/1.47 X ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4153, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4168, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 0.79/1.47 , clause( 289, [ =( join( complement( X ), complement( X ) ), complement( X
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, clause( 4153, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4169, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 0.79/1.47 , clause( 4168, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 298, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 0.79/1.47 , clause( 4169, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4172, [ =( join( join( complement( X ), Y ), X ), top ) ] )
% 0.79/1.47 , clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , 0, clause( 27, [ =( join( join( complement( Y ), X ), Y ), join( X, top )
% 0.79/1.47 ) ] )
% 0.79/1.47 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.79/1.47 :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 320, [ =( join( join( complement( Y ), X ), Y ), top ) ] )
% 0.79/1.47 , clause( 4172, [ =( join( join( complement( X ), Y ), X ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4174, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 0.79/1.47 , clause( 298, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4175, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 0.79/1.47 , Y ) ) ) ) ] )
% 0.79/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4178, [ =( X, join( complement( complement( X ) ), complement( join(
% 0.79/1.47 complement( X ), X ) ) ) ) ] )
% 0.79/1.47 , clause( 4174, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 0.79/1.47 , 0, clause( 4175, [ =( X, join( meet( X, Y ), complement( join( complement(
% 0.79/1.47 X ), Y ) ) ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4179, [ =( X, join( complement( complement( X ) ), complement( top
% 0.79/1.47 ) ) ) ] )
% 0.79/1.47 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , 0, clause( 4178, [ =( X, join( complement( complement( X ) ), complement(
% 0.79/1.47 join( complement( X ), X ) ) ) ) ] )
% 0.79/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4180, [ =( X, join( complement( complement( X ) ), zero ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4179, [ =( X, join( complement( complement( X ) ), complement(
% 0.79/1.47 top ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4181, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 0.79/1.47 , clause( 4180, [ =( X, join( complement( complement( X ) ), zero ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 322, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 0.79/1.47 , clause( 4181, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4183, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 0.79/1.47 , Y ) ) ) ) ] )
% 0.79/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4186, [ =( X, join( meet( X, converse( top ) ), complement(
% 0.79/1.47 converse( top ) ) ) ) ] )
% 0.79/1.47 , clause( 201, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 0.79/1.47 , 0, clause( 4183, [ =( X, join( meet( X, Y ), complement( join( complement(
% 0.79/1.47 X ), Y ) ) ) ) ] )
% 0.79/1.47 , 0, 8, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, converse( top ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4188, [ =( X, join( meet( X, converse( top ) ), complement( top ) )
% 0.79/1.47 ) ] )
% 0.79/1.47 , clause( 208, [ =( converse( top ), top ) ] )
% 0.79/1.47 , 0, clause( 4186, [ =( X, join( meet( X, converse( top ) ), complement(
% 0.79/1.47 converse( top ) ) ) ) ] )
% 0.79/1.47 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4189, [ =( X, join( meet( X, top ), complement( top ) ) ) ] )
% 0.79/1.47 , clause( 208, [ =( converse( top ), top ) ] )
% 0.79/1.47 , 0, clause( 4188, [ =( X, join( meet( X, converse( top ) ), complement(
% 0.79/1.47 top ) ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4192, [ =( X, join( meet( X, top ), zero ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4189, [ =( X, join( meet( X, top ), complement( top ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4193, [ =( join( meet( X, top ), zero ), X ) ] )
% 0.79/1.47 , clause( 4192, [ =( X, join( meet( X, top ), zero ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 328, [ =( join( meet( X, top ), zero ), X ) ] )
% 0.79/1.47 , clause( 4193, [ =( join( meet( X, top ), zero ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4195, [ =( join( Y, top ), join( join( X, Y ), complement( X ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4197, [ =( join( complement( join( complement( X ), Y ) ), top ),
% 0.79/1.47 join( X, complement( meet( X, Y ) ) ) ) ] )
% 0.79/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , 0, clause( 4195, [ =( join( Y, top ), join( join( X, Y ), complement( X )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.79/1.47 :=( X, meet( X, Y ) ), :=( Y, complement( join( complement( X ), Y ) ) )] )
% 0.79/1.47 ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4198, [ =( top, join( X, complement( meet( X, Y ) ) ) ) ] )
% 0.79/1.47 , clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , 0, clause( 4197, [ =( join( complement( join( complement( X ), Y ) ), top
% 0.79/1.47 ), join( X, complement( meet( X, Y ) ) ) ) ] )
% 0.79/1.47 , 0, 1, substitution( 0, [ :=( X, complement( join( complement( X ), Y ) )
% 0.79/1.47 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4199, [ =( join( X, complement( meet( X, Y ) ) ), top ) ] )
% 0.79/1.47 , clause( 4198, [ =( top, join( X, complement( meet( X, Y ) ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 339, [ =( join( X, complement( meet( X, Y ) ) ), top ) ] )
% 0.79/1.47 , clause( 4199, [ =( join( X, complement( meet( X, Y ) ) ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.47 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4201, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 0.79/1.47 , Y ) ) ) ) ] )
% 0.79/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4203, [ =( X, join( meet( X, X ), complement( top ) ) ) ] )
% 0.79/1.47 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 0.79/1.47 , 0, clause( 4201, [ =( X, join( meet( X, Y ), complement( join( complement(
% 0.79/1.47 X ), Y ) ) ) ) ] )
% 0.79/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4204, [ =( X, join( meet( X, X ), zero ) ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4203, [ =( X, join( meet( X, X ), complement( top ) ) ) ] )
% 0.79/1.47 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4205, [ =( join( meet( X, X ), zero ), X ) ] )
% 0.79/1.47 , clause( 4204, [ =( X, join( meet( X, X ), zero ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 341, [ =( join( meet( X, X ), zero ), X ) ] )
% 0.79/1.47 , clause( 4205, [ =( join( meet( X, X ), zero ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4207, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 0.79/1.47 , Y ) ) ) ) ] )
% 0.79/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4209, [ =( X, join( zero, complement( join( complement( X ),
% 0.79/1.47 complement( X ) ) ) ) ) ] )
% 0.79/1.47 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.79/1.47 , 0, clause( 4207, [ =( X, join( meet( X, Y ), complement( join( complement(
% 0.79/1.47 X ), Y ) ) ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.79/1.47 :=( Y, complement( X ) )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4210, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, clause( 4209, [ =( X, join( zero, complement( join( complement( X ),
% 0.79/1.47 complement( X ) ) ) ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4211, [ =( join( zero, meet( X, X ) ), X ) ] )
% 0.79/1.47 , clause( 4210, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 346, [ =( join( zero, meet( X, X ) ), X ) ] )
% 0.79/1.47 , clause( 4211, [ =( join( zero, meet( X, X ) ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4212, [ =( X, join( meet( X, top ), zero ) ) ] )
% 0.79/1.47 , clause( 328, [ =( join( meet( X, top ), zero ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4213, [ =( X, join( meet( top, X ), zero ) ) ] )
% 0.79/1.47 , clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 0.79/1.47 , 0, clause( 4212, [ =( X, join( meet( X, top ), zero ) ) ] )
% 0.79/1.47 , 0, 3, substitution( 0, [ :=( X, top ), :=( Y, X )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4216, [ =( join( meet( top, X ), zero ), X ) ] )
% 0.79/1.47 , clause( 4213, [ =( X, join( meet( top, X ), zero ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 352, [ =( join( meet( top, X ), zero ), X ) ] )
% 0.79/1.47 , clause( 4216, [ =( join( meet( top, X ), zero ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4218, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 0.79/1.47 ] )
% 0.79/1.47 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.79/1.47 ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4220, [ =( join( meet( X, top ), top ), join( X, complement( zero )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , clause( 328, [ =( join( meet( X, top ), zero ), X ) ] )
% 0.79/1.47 , 0, clause( 4218, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.79/1.47 ) ) ] )
% 0.79/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, meet( X
% 0.79/1.47 , top ) ), :=( Y, zero )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4221, [ =( top, join( X, complement( zero ) ) ) ] )
% 0.79/1.47 , clause( 165, [ =( join( X, top ), top ) ] )
% 0.79/1.47 , 0, clause( 4220, [ =( join( meet( X, top ), top ), join( X, complement(
% 0.79/1.47 zero ) ) ) ] )
% 0.79/1.47 , 0, 1, substitution( 0, [ :=( X, meet( X, top ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4222, [ =( join( X, complement( zero ) ), top ) ] )
% 0.79/1.47 , clause( 4221, [ =( top, join( X, complement( zero ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 353, [ =( join( X, complement( zero ) ), top ) ] )
% 0.79/1.47 , clause( 4222, [ =( join( X, complement( zero ) ), top ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4224, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.79/1.47 meet( X, Y ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4226, [ =( meet( X, zero ), complement( top ) ) ] )
% 0.79/1.47 , clause( 353, [ =( join( X, complement( zero ) ), top ) ] )
% 0.79/1.47 , 0, clause( 4224, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.79/1.47 complement( Y ) ) ) ) ] )
% 0.79/1.47 , 0, 5, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X ), :=( Y, zero )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4227, [ =( meet( X, zero ), zero ) ] )
% 0.79/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 0.79/1.47 , 0, clause( 4226, [ =( meet( X, zero ), complement( top ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 357, [ =( meet( X, zero ), zero ) ] )
% 0.79/1.47 , clause( 4227, [ =( meet( X, zero ), zero ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4229, [ =( X, join( meet( top, X ), zero ) ) ] )
% 0.79/1.47 , clause( 352, [ =( join( meet( top, X ), zero ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4230, [ =( X, join( zero, meet( top, X ) ) ) ] )
% 0.79/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.79/1.47 , 0, clause( 4229, [ =( X, join( meet( top, X ), zero ) ) ] )
% 0.79/1.47 , 0, 2, substitution( 0, [ :=( X, meet( top, X ) ), :=( Y, zero )] ),
% 0.79/1.47 substitution( 1, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4233, [ =( join( zero, meet( top, X ) ), X ) ] )
% 0.79/1.47 , clause( 4230, [ =( X, join( zero, meet( top, X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 366, [ =( join( zero, meet( top, X ) ), X ) ] )
% 0.79/1.47 , clause( 4233, [ =( join( zero, meet( top, X ) ), X ) ] )
% 0.79/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4235, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 0.79/1.47 , Y ) ) ) ) ] )
% 0.79/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 0.79/1.47 ) ) ), X ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4237, [ =( complement( X ), join( meet( complement( X ), zero ),
% 0.79/1.47 complement( X ) ) ) ] )
% 0.79/1.47 , clause( 322, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 0.79/1.47 , 0, clause( 4235, [ =( X, join( meet( X, Y ), complement( join( complement(
% 0.79/1.47 X ), Y ) ) ) ) ] )
% 0.79/1.47 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.79/1.47 complement( X ) ), :=( Y, zero )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 paramod(
% 0.79/1.47 clause( 4238, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 0.79/1.47 , clause( 357, [ =( meet( X, zero ), zero ) ] )
% 0.79/1.47 , 0, clause( 4237, [ =( complement( X ), join( meet( complement( X ), zero
% 0.79/1.47 ), complement( X ) ) ) ] )
% 0.79/1.47 , 0, 4, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.79/1.47 :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 eqswap(
% 0.79/1.47 clause( 4239, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 0.79/1.47 , clause( 4238, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 0.79/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 0.79/1.47
% 0.79/1.47
% 0.79/1.47 subsumption(
% 0.79/1.47 clause( 374, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.11/1.47 , clause( 4239, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4241, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 1.11/1.47 , clause( 374, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4244, [ =( complement( complement( X ) ), join( zero, meet( X, X )
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , clause( 298, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.11/1.47 , 0, clause( 4241, [ =( complement( X ), join( zero, complement( X ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.11/1.47 complement( X ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4245, [ =( meet( X, X ), join( zero, meet( X, X ) ) ) ] )
% 1.11/1.47 , clause( 298, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.11/1.47 , 0, clause( 4244, [ =( complement( complement( X ) ), join( zero, meet( X
% 1.11/1.47 , X ) ) ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4248, [ =( meet( X, X ), X ) ] )
% 1.11/1.47 , clause( 346, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4245, [ =( meet( X, X ), join( zero, meet( X, X ) ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 384, [ =( meet( X, X ), X ) ] )
% 1.11/1.47 , clause( 4248, [ =( meet( X, X ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4252, [ =( join( join( zero, X ), complement( Y ) ), join(
% 1.11/1.47 complement( Y ), X ) ) ] )
% 1.11/1.47 , clause( 374, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.11/1.47 , 0, clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 1.11/1.47 complement( Y ) ), :=( Y, X ), :=( Z, zero )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 385, [ =( join( join( zero, Y ), complement( X ) ), join(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , clause( 4252, [ =( join( join( zero, X ), complement( Y ) ), join(
% 1.11/1.47 complement( Y ), X ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4254, [ =( meet( top, X ), complement( join( zero, complement( X )
% 1.11/1.47 ) ) ) ] )
% 1.11/1.47 , clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.11/1.47 X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4261, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.11/1.47 , clause( 374, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.11/1.47 , 0, clause( 4254, [ =( meet( top, X ), complement( join( zero, complement(
% 1.11/1.47 X ) ) ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 389, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.11/1.47 , clause( 4261, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4264, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 1.11/1.47 , clause( 374, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4269, [ =( complement( join( zero, complement( X ) ) ), join( zero
% 1.11/1.47 , meet( top, X ) ) ) ] )
% 1.11/1.47 , clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.11/1.47 X ) ) ] )
% 1.11/1.47 , 0, clause( 4264, [ =( complement( X ), join( zero, complement( X ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, join(
% 1.11/1.47 zero, complement( X ) ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4270, [ =( meet( top, X ), join( zero, meet( top, X ) ) ) ] )
% 1.11/1.47 , clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.11/1.47 X ) ) ] )
% 1.11/1.47 , 0, clause( 4269, [ =( complement( join( zero, complement( X ) ) ), join(
% 1.11/1.47 zero, meet( top, X ) ) ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4272, [ =( meet( top, X ), X ) ] )
% 1.11/1.47 , clause( 366, [ =( join( zero, meet( top, X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4270, [ =( meet( top, X ), join( zero, meet( top, X ) ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4273, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , clause( 389, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.11/1.47 , 0, clause( 4272, [ =( meet( top, X ), X ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , clause( 4273, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4276, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 1.11/1.47 , clause( 346, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4277, [ =( X, join( zero, X ) ) ] )
% 1.11/1.47 , clause( 384, [ =( meet( X, X ), X ) ] )
% 1.11/1.47 , 0, clause( 4276, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4278, [ =( join( zero, X ), X ) ] )
% 1.11/1.47 , clause( 4277, [ =( X, join( zero, X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 394, [ =( join( zero, X ), X ) ] )
% 1.11/1.47 , clause( 4278, [ =( join( zero, X ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4280, [ =( X, join( meet( X, X ), zero ) ) ] )
% 1.11/1.47 , clause( 341, [ =( join( meet( X, X ), zero ), X ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4281, [ =( X, join( X, zero ) ) ] )
% 1.11/1.47 , clause( 384, [ =( meet( X, X ), X ) ] )
% 1.11/1.47 , 0, clause( 4280, [ =( X, join( meet( X, X ), zero ) ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4282, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , clause( 4281, [ =( X, join( X, zero ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , clause( 4282, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4284, [ =( join( X, converse( Y ) ), converse( join( converse( X )
% 1.11/1.47 , Y ) ) ) ] )
% 1.11/1.47 , clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse(
% 1.11/1.47 Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4286, [ =( join( X, converse( zero ) ), converse( converse( X ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , 0, clause( 4284, [ =( join( X, converse( Y ) ), converse( join( converse(
% 1.11/1.47 X ), Y ) ) ) ] )
% 1.11/1.47 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, zero )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4287, [ =( join( X, converse( zero ) ), X ) ] )
% 1.11/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4286, [ =( join( X, converse( zero ) ), converse( converse( X
% 1.11/1.47 ) ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 398, [ =( join( X, converse( zero ) ), X ) ] )
% 1.11/1.47 , clause( 4287, [ =( join( X, converse( zero ) ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4290, [ =( complement( X ), join( complement( X ), complement( X )
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , clause( 289, [ =( join( complement( X ), complement( X ) ), complement( X
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4293, [ =( complement( complement( X ) ), join( complement(
% 1.11/1.47 complement( X ) ), X ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4290, [ =( complement( X ), join( complement( X ), complement(
% 1.11/1.47 X ) ) ) ] )
% 1.11/1.47 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.11/1.47 complement( X ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4295, [ =( complement( complement( X ) ), join( X, X ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4293, [ =( complement( complement( X ) ), join( complement(
% 1.11/1.47 complement( X ) ), X ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4296, [ =( X, join( X, X ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4295, [ =( complement( complement( X ) ), join( X, X ) ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4302, [ =( join( X, X ), X ) ] )
% 1.11/1.47 , clause( 4296, [ =( X, join( X, X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 400, [ =( join( X, X ), X ) ] )
% 1.11/1.47 , clause( 4302, [ =( join( X, X ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4306, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.11/1.47 meet( X, Y ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4309, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4306, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.11/1.47 complement( X ) ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4311, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , clause( 4309, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 402, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , clause( 4311, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4314, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.11/1.47 meet( X, Y ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4318, [ =( meet( X, complement( Y ) ), complement( join( complement(
% 1.11/1.47 X ), Y ) ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4314, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, complement( Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4320, [ =( complement( join( complement( X ), Y ) ), meet( X,
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 4318, [ =( meet( X, complement( Y ) ), complement( join(
% 1.11/1.47 complement( X ), Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 403, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.11/1.47 complement( X ) ) ) ] )
% 1.11/1.47 , clause( 4320, [ =( complement( join( complement( X ), Y ) ), meet( X,
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4322, [ =( X, complement( complement( X ) ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4327, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.11/1.47 meet( X, Y ) ) ] )
% 1.11/1.47 , 0, clause( 4322, [ =( X, complement( complement( X ) ) ) ] )
% 1.11/1.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, join( complement( X ), complement( Y ) ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , clause( 4327, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4337, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.11/1.47 , clause( 400, [ =( join( X, X ), X ) ] )
% 1.11/1.47 , 0, clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, Y ), :=( Z, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 406, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.11/1.47 , clause( 4337, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4338, [ =( X, join( X, converse( zero ) ) ) ] )
% 1.11/1.47 , clause( 398, [ =( join( X, converse( zero ) ), X ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4340, [ =( zero, converse( zero ) ) ] )
% 1.11/1.47 , clause( 394, [ =( join( zero, X ), X ) ] )
% 1.11/1.47 , 0, clause( 4338, [ =( X, join( X, converse( zero ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, converse( zero ) )] ), substitution( 1, [
% 1.11/1.47 :=( X, zero )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4341, [ =( converse( zero ), zero ) ] )
% 1.11/1.47 , clause( 4340, [ =( zero, converse( zero ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 408, [ =( converse( zero ), zero ) ] )
% 1.11/1.47 , clause( 4341, [ =( converse( zero ), zero ) ] )
% 1.11/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4344, [ =( meet( top, X ), X ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 389, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 415, [ =( meet( top, X ), X ) ] )
% 1.11/1.47 , clause( 4344, [ =( meet( top, X ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4347, [ =( top, join( join( complement( join( X, Y ) ), X ), Y ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 22, [ =( join( join( complement( join( X, Y ) ), X ), Y ), top )
% 1.11/1.47 ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4350, [ =( top, join( join( complement( top ), X ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ) ] )
% 1.11/1.47 , clause( 339, [ =( join( X, complement( meet( X, Y ) ) ), top ) ] )
% 1.11/1.47 , 0, clause( 4347, [ =( top, join( join( complement( join( X, Y ) ), X ), Y
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, complement( meet( X, Y ) ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4351, [ =( top, join( join( zero, X ), complement( meet( X, Y ) ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.11/1.47 , 0, clause( 4350, [ =( top, join( join( complement( top ), X ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4352, [ =( top, join( complement( meet( X, Y ) ), X ) ) ] )
% 1.11/1.47 , clause( 385, [ =( join( join( zero, Y ), complement( X ) ), join(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , 0, clause( 4351, [ =( top, join( join( zero, X ), complement( meet( X, Y
% 1.11/1.47 ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, meet( X, Y ) ), :=( Y, X )] ),
% 1.11/1.47 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4353, [ =( join( complement( meet( X, Y ) ), X ), top ) ] )
% 1.11/1.47 , clause( 4352, [ =( top, join( complement( meet( X, Y ) ), X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 427, [ =( join( complement( meet( X, Y ) ), X ), top ) ] )
% 1.11/1.47 , clause( 4353, [ =( join( complement( meet( X, Y ) ), X ), top ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4354, [ =( top, join( complement( meet( X, Y ) ), X ) ) ] )
% 1.11/1.47 , clause( 427, [ =( join( complement( meet( X, Y ) ), X ), top ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4355, [ =( top, join( complement( meet( Y, X ) ), X ) ) ] )
% 1.11/1.47 , clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.11/1.47 , 0, clause( 4354, [ =( top, join( complement( meet( X, Y ) ), X ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4358, [ =( join( complement( meet( X, Y ) ), Y ), top ) ] )
% 1.11/1.47 , clause( 4355, [ =( top, join( complement( meet( Y, X ) ), X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 440, [ =( join( complement( meet( Y, X ) ), X ), top ) ] )
% 1.11/1.47 , clause( 4358, [ =( join( complement( meet( X, Y ) ), Y ), top ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4360, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.11/1.47 meet( X, Y ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4362, [ =( meet( meet( X, complement( Y ) ), Y ), complement( top )
% 1.11/1.47 ) ] )
% 1.11/1.47 , clause( 440, [ =( join( complement( meet( Y, X ) ), X ), top ) ] )
% 1.11/1.47 , 0, clause( 4360, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , 0, 8, substitution( 0, [ :=( X, complement( Y ) ), :=( Y, X )] ),
% 1.11/1.47 substitution( 1, [ :=( X, meet( X, complement( Y ) ) ), :=( Y, Y )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4363, [ =( meet( meet( X, complement( Y ) ), Y ), zero ) ] )
% 1.11/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.11/1.47 , 0, clause( 4362, [ =( meet( meet( X, complement( Y ) ), Y ), complement(
% 1.11/1.47 top ) ) ] )
% 1.11/1.47 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 447, [ =( meet( meet( X, complement( Y ) ), Y ), zero ) ] )
% 1.11/1.47 , clause( 4363, [ =( meet( meet( X, complement( Y ) ), Y ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4366, [ =( zero, meet( meet( X, complement( Y ) ), Y ) ) ] )
% 1.11/1.47 , clause( 447, [ =( meet( meet( X, complement( Y ) ), Y ), zero ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4367, [ =( zero, meet( meet( X, Y ), complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4366, [ =( zero, meet( meet( X, complement( Y ) ), Y ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, complement( Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4368, [ =( meet( meet( X, Y ), complement( Y ) ), zero ) ] )
% 1.11/1.47 , clause( 4367, [ =( zero, meet( meet( X, Y ), complement( Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 449, [ =( meet( meet( Y, X ), complement( X ) ), zero ) ] )
% 1.11/1.47 , clause( 4368, [ =( meet( meet( X, Y ), complement( Y ) ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4369, [ =( zero, meet( meet( X, Y ), complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 449, [ =( meet( meet( Y, X ), complement( X ) ), zero ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4370, [ =( zero, meet( complement( Y ), meet( X, Y ) ) ) ] )
% 1.11/1.47 , clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.11/1.47 , 0, clause( 4369, [ =( zero, meet( meet( X, Y ), complement( Y ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, complement( Y ) ), :=( Y, meet( X, Y ) )] )
% 1.11/1.47 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4374, [ =( meet( complement( X ), meet( Y, X ) ), zero ) ] )
% 1.11/1.47 , clause( 4370, [ =( zero, meet( complement( Y ), meet( X, Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 451, [ =( meet( complement( Y ), meet( X, Y ) ), zero ) ] )
% 1.11/1.47 , clause( 4374, [ =( meet( complement( X ), meet( Y, X ) ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4379, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4380, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4379, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.11/1.47 complement( X ) ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 620, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 4380, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4385, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4387, [ =( complement( meet( X, complement( Y ) ) ), join(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4385, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, complement( Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 621, [ =( complement( meet( Y, complement( X ) ) ), join(
% 1.11/1.47 complement( Y ), X ) ) ] )
% 1.11/1.47 , clause( 4387, [ =( complement( meet( X, complement( Y ) ) ), join(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4390, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4392, [ =( complement( meet( X, Y ) ), join( complement( Y ),
% 1.11/1.47 complement( X ) ) ) ] )
% 1.11/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.11/1.47 , 0, clause( 4390, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, complement( X ) ), :=( Y, complement( Y )
% 1.11/1.47 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4394, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 meet( X, Y ) ) ) ] )
% 1.11/1.47 , 0, clause( 4392, [ =( complement( meet( X, Y ) ), join( complement( Y ),
% 1.11/1.47 complement( X ) ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 628, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 4394, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4395, [ =( top, join( X, complement( X ) ) ) ] )
% 1.11/1.47 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4396, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 628, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, clause( 4395, [ =( top, join( X, complement( X ) ) ) ] )
% 1.11/1.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, meet( X, Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4399, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 4396, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 654, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 4399, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top
% 1.11/1.47 ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4400, [ =( zero, meet( X, complement( X ) ) ) ] )
% 1.11/1.47 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4401, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 628, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, clause( 4400, [ =( zero, meet( X, complement( X ) ) ) ] )
% 1.11/1.47 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, meet( X, Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4404, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 4401, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X ) ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 655, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 4404, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero
% 1.11/1.47 ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4405, [ =( join( X, converse( join( Y, Z ) ) ), join( join( X,
% 1.11/1.47 converse( Y ) ), converse( Z ) ) ) ] )
% 1.11/1.47 , clause( 74, [ =( join( join( Z, converse( X ) ), converse( Y ) ), join( Z
% 1.11/1.47 , converse( join( X, Y ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4409, [ =( join( complement( converse( X ) ), converse( join( Y, X
% 1.11/1.47 ) ) ), top ) ] )
% 1.11/1.47 , clause( 320, [ =( join( join( complement( Y ), X ), Y ), top ) ] )
% 1.11/1.47 , 0, clause( 4405, [ =( join( X, converse( join( Y, Z ) ) ), join( join( X
% 1.11/1.47 , converse( Y ) ), converse( Z ) ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, converse( Y ) ), :=( Y, converse( X ) )] )
% 1.11/1.47 , substitution( 1, [ :=( X, complement( converse( X ) ) ), :=( Y, Y ),
% 1.11/1.47 :=( Z, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 686, [ =( join( complement( converse( X ) ), converse( join( Y, X )
% 1.11/1.47 ) ), top ) ] )
% 1.11/1.47 , clause( 4409, [ =( join( complement( converse( X ) ), converse( join( Y,
% 1.11/1.47 X ) ) ), top ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4416, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 1.11/1.47 , Y ) ) ) ) ] )
% 1.11/1.47 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.11/1.47 ) ) ), X ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4420, [ =( converse( X ), join( meet( converse( X ), converse( join(
% 1.11/1.47 Y, X ) ) ), complement( top ) ) ) ] )
% 1.11/1.47 , clause( 686, [ =( join( complement( converse( X ) ), converse( join( Y, X
% 1.11/1.47 ) ) ), top ) ] )
% 1.11/1.47 , 0, clause( 4416, [ =( X, join( meet( X, Y ), complement( join( complement(
% 1.11/1.47 X ), Y ) ) ) ) ] )
% 1.11/1.47 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, converse( X ) ), :=( Y, converse( join( Y, X ) ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4421, [ =( converse( X ), join( meet( converse( X ), converse( join(
% 1.11/1.47 Y, X ) ) ), zero ) ) ] )
% 1.11/1.47 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.11/1.47 , 0, clause( 4420, [ =( converse( X ), join( meet( converse( X ), converse(
% 1.11/1.47 join( Y, X ) ) ), complement( top ) ) ) ] )
% 1.11/1.47 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4422, [ =( converse( X ), meet( converse( X ), converse( join( Y, X
% 1.11/1.47 ) ) ) ) ] )
% 1.11/1.47 , clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , 0, clause( 4421, [ =( converse( X ), join( meet( converse( X ), converse(
% 1.11/1.47 join( Y, X ) ) ), zero ) ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [ :=( X, meet( converse( X ), converse( join( Y, X
% 1.11/1.47 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4423, [ =( meet( converse( X ), converse( join( Y, X ) ) ),
% 1.11/1.47 converse( X ) ) ] )
% 1.11/1.47 , clause( 4422, [ =( converse( X ), meet( converse( X ), converse( join( Y
% 1.11/1.47 , X ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 763, [ =( meet( converse( X ), converse( join( Y, X ) ) ), converse(
% 1.11/1.47 X ) ) ] )
% 1.11/1.47 , clause( 4423, [ =( meet( converse( X ), converse( join( Y, X ) ) ),
% 1.11/1.47 converse( X ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4425, [ =( converse( X ), meet( converse( X ), converse( join( Y, X
% 1.11/1.47 ) ) ) ) ] )
% 1.11/1.47 , clause( 763, [ =( meet( converse( X ), converse( join( Y, X ) ) ),
% 1.11/1.47 converse( X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4428, [ =( converse( converse( X ) ), meet( converse( converse( X )
% 1.11/1.47 ), converse( converse( join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 1.11/1.47 Y ) ) ) ] )
% 1.11/1.47 , 0, clause( 4425, [ =( converse( X ), meet( converse( X ), converse( join(
% 1.11/1.47 Y, X ) ) ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.47 :=( X, converse( X ) ), :=( Y, converse( Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4431, [ =( converse( converse( X ) ), meet( converse( converse( X )
% 1.11/1.47 ), join( Y, X ) ) ) ] )
% 1.11/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4428, [ =( converse( converse( X ) ), meet( converse( converse(
% 1.11/1.47 X ) ), converse( converse( join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , 0, 8, substitution( 0, [ :=( X, join( Y, X ) )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4437, [ =( converse( converse( X ) ), meet( X, join( Y, X ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4431, [ =( converse( converse( X ) ), meet( converse( converse(
% 1.11/1.47 X ) ), join( Y, X ) ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4438, [ =( X, meet( X, join( Y, X ) ) ) ] )
% 1.11/1.47 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4437, [ =( converse( converse( X ) ), meet( X, join( Y, X ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4440, [ =( meet( X, join( Y, X ) ), X ) ] )
% 1.11/1.47 , clause( 4438, [ =( X, meet( X, join( Y, X ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 795, [ =( meet( Y, join( X, Y ) ), Y ) ] )
% 1.11/1.47 , clause( 4440, [ =( meet( X, join( Y, X ) ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4443, [ =( X, meet( X, join( Y, X ) ) ) ] )
% 1.11/1.47 , clause( 795, [ =( meet( Y, join( X, Y ) ), Y ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4444, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 1.11/1.47 , clause( 406, [ =( join( join( X, Y ), X ), join( X, Y ) ) ] )
% 1.11/1.47 , 0, clause( 4443, [ =( X, meet( X, join( Y, X ) ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, join( X, Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4445, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.11/1.47 , clause( 4444, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 801, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.11/1.47 , clause( 4445, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4447, [ =( zero, meet( complement( X ), meet( Y, X ) ) ) ] )
% 1.11/1.47 , clause( 451, [ =( meet( complement( Y ), meet( X, Y ) ), zero ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4448, [ =( zero, meet( complement( join( X, Y ) ), X ) ) ] )
% 1.11/1.47 , clause( 801, [ =( meet( X, join( X, Y ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4447, [ =( zero, meet( complement( X ), meet( Y, X ) ) ) ] )
% 1.11/1.47 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, join( X, Y ) ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4449, [ =( meet( complement( join( X, Y ) ), X ), zero ) ] )
% 1.11/1.47 , clause( 4448, [ =( zero, meet( complement( join( X, Y ) ), X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 812, [ =( meet( complement( join( X, Y ) ), X ), zero ) ] )
% 1.11/1.47 , clause( 4449, [ =( meet( complement( join( X, Y ) ), X ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4451, [ =( zero, meet( complement( join( X, Y ) ), X ) ) ] )
% 1.11/1.47 , clause( 812, [ =( meet( complement( join( X, Y ) ), X ), zero ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4453, [ =( zero, meet( complement( complement( sk3 ) ), composition(
% 1.11/1.47 complement( sk1 ), sk2 ) ) ) ] )
% 1.11/1.47 , clause( 16, [ =( join( composition( complement( sk1 ), sk2 ), complement(
% 1.11/1.47 sk3 ) ), complement( sk3 ) ) ] )
% 1.11/1.47 , 0, clause( 4451, [ =( zero, meet( complement( join( X, Y ) ), X ) ) ] )
% 1.11/1.47 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, composition(
% 1.11/1.47 complement( sk1 ), sk2 ) ), :=( Y, complement( sk3 ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4454, [ =( zero, meet( sk3, composition( complement( sk1 ), sk2 ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4453, [ =( zero, meet( complement( complement( sk3 ) ),
% 1.11/1.47 composition( complement( sk1 ), sk2 ) ) ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [ :=( X, sk3 )] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4455, [ =( meet( sk3, composition( complement( sk1 ), sk2 ) ), zero
% 1.11/1.47 ) ] )
% 1.11/1.47 , clause( 4454, [ =( zero, meet( sk3, composition( complement( sk1 ), sk2 )
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 853, [ =( meet( sk3, composition( complement( sk1 ), sk2 ) ), zero
% 1.11/1.47 ) ] )
% 1.11/1.47 , clause( 4455, [ =( meet( sk3, composition( complement( sk1 ), sk2 ) ),
% 1.11/1.47 zero ) ] )
% 1.11/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4458, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 403, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.11/1.47 complement( X ) ) ) ] )
% 1.11/1.47 , 0, clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X )
% 1.11/1.47 , Y ) ) ), X ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1003, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 4458, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X )
% 1.11/1.47 ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4460, [ =( X, join( meet( X, Y ), meet( X, complement( Y ) ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 1003, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X )
% 1.11/1.47 ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4461, [ =( X, join( meet( Y, X ), meet( X, complement( Y ) ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.11/1.47 , 0, clause( 4460, [ =( X, join( meet( X, Y ), meet( X, complement( Y ) ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4465, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 4461, [ =( X, join( meet( Y, X ), meet( X, complement( Y ) ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1015, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 4465, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X )
% 1.11/1.47 ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4469, [ =( Y, join( meet( X, Y ), meet( Y, complement( X ) ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 1015, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X )
% 1.11/1.47 ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4470, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.11/1.47 , 0, clause( 4469, [ =( Y, join( meet( X, Y ), meet( Y, complement( X ) ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, meet( Y, X ) ), :=( Y, meet( X,
% 1.11/1.47 complement( Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4473, [ =( join( meet( X, complement( Y ) ), meet( Y, X ) ), X ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 4470, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1028, [ =( join( meet( Y, complement( X ) ), meet( X, Y ) ), Y ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 4473, [ =( join( meet( X, complement( Y ) ), meet( Y, X ) ), X )
% 1.11/1.47 ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4475, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , clause( 402, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4479, [ =( meet( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 join( X, Y ) ) ) ] )
% 1.11/1.47 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.47 , 0, clause( 4475, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.47 :=( Y, complement( Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1182, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.11/1.47 join( Y, X ) ) ) ] )
% 1.11/1.47 , clause( 4479, [ =( meet( complement( X ), complement( Y ) ), complement(
% 1.11/1.47 join( X, Y ) ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4482, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , clause( 402, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4483, [ =( meet( complement( join( X, Y ) ), Z ), complement( join(
% 1.11/1.47 join( X, complement( Z ) ), Y ) ) ) ] )
% 1.11/1.47 , clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ] )
% 1.11/1.47 , 0, clause( 4482, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.11/1.47 complement( Y ) ) ) ) ] )
% 1.11/1.47 , 0, 8, substitution( 0, [ :=( X, complement( Z ) ), :=( Y, Y ), :=( Z, X )] )
% 1.11/1.47 , substitution( 1, [ :=( X, join( X, Y ) ), :=( Y, Z )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4486, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.11/1.47 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.11/1.47 , clause( 4483, [ =( meet( complement( join( X, Y ) ), Z ), complement(
% 1.11/1.47 join( join( X, complement( Z ) ), Y ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1185, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.11/1.47 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.11/1.47 , clause( 4486, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.11/1.47 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.11/1.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4488, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 655, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4493, [ =( zero, meet( meet( complement( X ), complement( Y ) ),
% 1.11/1.47 complement( complement( join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , clause( 1182, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.11/1.47 join( Y, X ) ) ) ] )
% 1.11/1.47 , 0, clause( 4488, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X )
% 1.11/1.47 ) ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.47 :=( X, complement( X ) ), :=( Y, complement( Y ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4497, [ =( zero, meet( complement( join( X, Y ) ), complement(
% 1.11/1.47 complement( join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , clause( 1182, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.11/1.47 join( Y, X ) ) ) ] )
% 1.11/1.47 , 0, clause( 4493, [ =( zero, meet( meet( complement( X ), complement( Y )
% 1.11/1.47 ), complement( complement( join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4499, [ =( zero, complement( join( join( X, Y ), complement( join(
% 1.11/1.47 Y, X ) ) ) ) ) ] )
% 1.11/1.47 , clause( 1182, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.11/1.47 join( Y, X ) ) ) ] )
% 1.11/1.47 , 0, clause( 4497, [ =( zero, meet( complement( join( X, Y ) ), complement(
% 1.11/1.47 complement( join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, complement( join( Y, X ) ) ), :=( Y, join(
% 1.11/1.47 X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4500, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 402, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.47 complement( X ), Y ) ) ] )
% 1.11/1.47 , 0, clause( 4499, [ =( zero, complement( join( join( X, Y ), complement(
% 1.11/1.47 join( Y, X ) ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, join( X, Y ) ), :=( Y, join( Y, X ) )] )
% 1.11/1.47 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4501, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 4500, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X ) )
% 1.11/1.47 ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1200, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 4501, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero
% 1.11/1.47 ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.47 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4504, [ =( composition( converse( X ), complement( composition( X,
% 1.11/1.47 top ) ) ), zero ) ] )
% 1.11/1.47 , clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , 0, clause( 99, [ =( join( composition( converse( X ), complement(
% 1.11/1.47 composition( X, top ) ) ), zero ), zero ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, composition( converse( X ), complement(
% 1.11/1.47 composition( X, top ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1464, [ =( composition( converse( X ), complement( composition( X,
% 1.11/1.47 top ) ) ), zero ) ] )
% 1.11/1.47 , clause( 4504, [ =( composition( converse( X ), complement( composition( X
% 1.11/1.47 , top ) ) ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4507, [ =( zero, composition( converse( X ), complement(
% 1.11/1.47 composition( X, top ) ) ) ) ] )
% 1.11/1.47 , clause( 1464, [ =( composition( converse( X ), complement( composition( X
% 1.11/1.47 , top ) ) ), zero ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4508, [ =( zero, composition( top, complement( composition( top,
% 1.11/1.47 top ) ) ) ) ] )
% 1.11/1.47 , clause( 208, [ =( converse( top ), top ) ] )
% 1.11/1.47 , 0, clause( 4507, [ =( zero, composition( converse( X ), complement(
% 1.11/1.47 composition( X, top ) ) ) ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, top )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4509, [ =( composition( top, complement( composition( top, top ) )
% 1.11/1.47 ), zero ) ] )
% 1.11/1.47 , clause( 4508, [ =( zero, composition( top, complement( composition( top,
% 1.11/1.47 top ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1476, [ =( composition( top, complement( composition( top, top ) )
% 1.11/1.47 ), zero ) ] )
% 1.11/1.47 , clause( 4509, [ =( composition( top, complement( composition( top, top )
% 1.11/1.47 ) ), zero ) ] )
% 1.11/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4511, [ =( composition( join( X, Z ), Y ), join( composition( X, Y
% 1.11/1.47 ), composition( Z, Y ) ) ) ] )
% 1.11/1.47 , clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.11/1.47 composition( join( X, Y ), Z ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4516, [ =( composition( join( X, top ), complement( composition(
% 1.11/1.47 top, top ) ) ), join( composition( X, complement( composition( top, top )
% 1.11/1.47 ) ), zero ) ) ] )
% 1.11/1.47 , clause( 1476, [ =( composition( top, complement( composition( top, top )
% 1.11/1.47 ) ), zero ) ] )
% 1.11/1.47 , 0, clause( 4511, [ =( composition( join( X, Z ), Y ), join( composition(
% 1.11/1.47 X, Y ), composition( Z, Y ) ) ) ] )
% 1.11/1.47 , 0, 16, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 1.11/1.47 complement( composition( top, top ) ) ), :=( Z, top )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4517, [ =( composition( join( X, top ), complement( composition(
% 1.11/1.47 top, top ) ) ), composition( X, complement( composition( top, top ) ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , 0, clause( 4516, [ =( composition( join( X, top ), complement(
% 1.11/1.47 composition( top, top ) ) ), join( composition( X, complement(
% 1.11/1.47 composition( top, top ) ) ), zero ) ) ] )
% 1.11/1.47 , 0, 9, substitution( 0, [ :=( X, composition( X, complement( composition(
% 1.11/1.47 top, top ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4518, [ =( composition( top, complement( composition( top, top ) )
% 1.11/1.47 ), composition( X, complement( composition( top, top ) ) ) ) ] )
% 1.11/1.47 , clause( 165, [ =( join( X, top ), top ) ] )
% 1.11/1.47 , 0, clause( 4517, [ =( composition( join( X, top ), complement(
% 1.11/1.47 composition( top, top ) ) ), composition( X, complement( composition( top
% 1.11/1.47 , top ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.11/1.47 ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4519, [ =( zero, composition( X, complement( composition( top, top
% 1.11/1.47 ) ) ) ) ] )
% 1.11/1.47 , clause( 1476, [ =( composition( top, complement( composition( top, top )
% 1.11/1.47 ) ), zero ) ] )
% 1.11/1.47 , 0, clause( 4518, [ =( composition( top, complement( composition( top, top
% 1.11/1.47 ) ) ), composition( X, complement( composition( top, top ) ) ) ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4520, [ =( composition( X, complement( composition( top, top ) ) )
% 1.11/1.47 , zero ) ] )
% 1.11/1.47 , clause( 4519, [ =( zero, composition( X, complement( composition( top,
% 1.11/1.47 top ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1481, [ =( composition( X, complement( composition( top, top ) ) )
% 1.11/1.47 , zero ) ] )
% 1.11/1.47 , clause( 4520, [ =( composition( X, complement( composition( top, top ) )
% 1.11/1.47 ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4522, [ =( composition( composition( X, Y ), Z ), composition( X,
% 1.11/1.47 composition( Y, Z ) ) ) ] )
% 1.11/1.47 , clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.11/1.47 composition( X, Y ), Z ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4525, [ =( composition( composition( X, top ), complement(
% 1.11/1.47 composition( top, top ) ) ), composition( X, zero ) ) ] )
% 1.11/1.47 , clause( 1476, [ =( composition( top, complement( composition( top, top )
% 1.11/1.47 ) ), zero ) ] )
% 1.11/1.47 , 0, clause( 4522, [ =( composition( composition( X, Y ), Z ), composition(
% 1.11/1.47 X, composition( Y, Z ) ) ) ] )
% 1.11/1.47 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, top )
% 1.11/1.47 , :=( Z, complement( composition( top, top ) ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4526, [ =( zero, composition( X, zero ) ) ] )
% 1.11/1.47 , clause( 1481, [ =( composition( X, complement( composition( top, top ) )
% 1.11/1.47 ), zero ) ] )
% 1.11/1.47 , 0, clause( 4525, [ =( composition( composition( X, top ), complement(
% 1.11/1.47 composition( top, top ) ) ), composition( X, zero ) ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, composition( X, top ) )] ),
% 1.11/1.47 substitution( 1, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4527, [ =( composition( X, zero ), zero ) ] )
% 1.11/1.47 , clause( 4526, [ =( zero, composition( X, zero ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1482, [ =( composition( X, zero ), zero ) ] )
% 1.11/1.47 , clause( 4527, [ =( composition( X, zero ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4529, [ =( composition( converse( Y ), X ), converse( composition(
% 1.11/1.47 converse( X ), Y ) ) ) ] )
% 1.11/1.47 , clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 1.11/1.47 converse( Y ), X ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4532, [ =( composition( converse( zero ), X ), converse( zero ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 1482, [ =( composition( X, zero ), zero ) ] )
% 1.11/1.47 , 0, clause( 4529, [ =( composition( converse( Y ), X ), converse(
% 1.11/1.47 composition( converse( X ), Y ) ) ) ] )
% 1.11/1.47 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 1.11/1.47 :=( X, X ), :=( Y, zero )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4534, [ =( composition( converse( zero ), X ), zero ) ] )
% 1.11/1.47 , clause( 408, [ =( converse( zero ), zero ) ] )
% 1.11/1.47 , 0, clause( 4532, [ =( composition( converse( zero ), X ), converse( zero
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4535, [ =( composition( zero, X ), zero ) ] )
% 1.11/1.47 , clause( 408, [ =( converse( zero ), zero ) ] )
% 1.11/1.47 , 0, clause( 4534, [ =( composition( converse( zero ), X ), zero ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 1485, [ =( composition( zero, X ), zero ) ] )
% 1.11/1.47 , clause( 4535, [ =( composition( zero, X ), zero ) ] )
% 1.11/1.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4540, [ =( composition( meet( X, composition( Z, Y ) ), meet(
% 1.11/1.47 converse( Y ), composition( converse( X ), Z ) ) ), join( meet(
% 1.11/1.47 composition( X, converse( Y ) ), Z ), composition( meet( X, composition(
% 1.11/1.47 Z, Y ) ), meet( converse( Y ), composition( converse( X ), Z ) ) ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , clause( 122, [ =( join( meet( composition( Y, converse( X ) ), Z ),
% 1.11/1.47 composition( meet( Y, composition( Z, X ) ), meet( converse( X ),
% 1.11/1.47 composition( converse( Y ), Z ) ) ) ), composition( meet( Y, composition(
% 1.11/1.47 Z, X ) ), meet( converse( X ), composition( converse( Y ), Z ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4544, [ =( composition( meet( sk3, composition( complement( sk1 ),
% 1.11/1.47 sk2 ) ), meet( converse( sk2 ), composition( converse( sk3 ), complement(
% 1.11/1.47 sk1 ) ) ) ), join( meet( composition( sk3, converse( sk2 ) ), complement(
% 1.11/1.47 sk1 ) ), composition( zero, meet( converse( sk2 ), composition( converse(
% 1.11/1.47 sk3 ), complement( sk1 ) ) ) ) ) ) ] )
% 1.11/1.47 , clause( 853, [ =( meet( sk3, composition( complement( sk1 ), sk2 ) ),
% 1.11/1.47 zero ) ] )
% 1.11/1.47 , 0, clause( 4540, [ =( composition( meet( X, composition( Z, Y ) ), meet(
% 1.11/1.47 converse( Y ), composition( converse( X ), Z ) ) ), join( meet(
% 1.11/1.47 composition( X, converse( Y ) ), Z ), composition( meet( X, composition(
% 1.11/1.47 Z, Y ) ), meet( converse( Y ), composition( converse( X ), Z ) ) ) ) ) ]
% 1.11/1.47 )
% 1.11/1.47 , 0, 25, substitution( 0, [] ), substitution( 1, [ :=( X, sk3 ), :=( Y, sk2
% 1.11/1.47 ), :=( Z, complement( sk1 ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4545, [ =( composition( zero, meet( converse( sk2 ), composition(
% 1.11/1.47 converse( sk3 ), complement( sk1 ) ) ) ), join( meet( composition( sk3,
% 1.11/1.47 converse( sk2 ) ), complement( sk1 ) ), composition( zero, meet( converse(
% 1.11/1.47 sk2 ), composition( converse( sk3 ), complement( sk1 ) ) ) ) ) ) ] )
% 1.11/1.47 , clause( 853, [ =( meet( sk3, composition( complement( sk1 ), sk2 ) ),
% 1.11/1.47 zero ) ] )
% 1.11/1.47 , 0, clause( 4544, [ =( composition( meet( sk3, composition( complement(
% 1.11/1.47 sk1 ), sk2 ) ), meet( converse( sk2 ), composition( converse( sk3 ),
% 1.11/1.47 complement( sk1 ) ) ) ), join( meet( composition( sk3, converse( sk2 ) )
% 1.11/1.47 , complement( sk1 ) ), composition( zero, meet( converse( sk2 ),
% 1.11/1.47 composition( converse( sk3 ), complement( sk1 ) ) ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4550, [ =( composition( zero, meet( converse( sk2 ), composition(
% 1.11/1.47 converse( sk3 ), complement( sk1 ) ) ) ), join( meet( composition( sk3,
% 1.11/1.47 converse( sk2 ) ), complement( sk1 ) ), zero ) ) ] )
% 1.11/1.47 , clause( 1485, [ =( composition( zero, X ), zero ) ] )
% 1.11/1.47 , 0, clause( 4545, [ =( composition( zero, meet( converse( sk2 ),
% 1.11/1.47 composition( converse( sk3 ), complement( sk1 ) ) ) ), join( meet(
% 1.11/1.47 composition( sk3, converse( sk2 ) ), complement( sk1 ) ), composition(
% 1.11/1.47 zero, meet( converse( sk2 ), composition( converse( sk3 ), complement(
% 1.11/1.47 sk1 ) ) ) ) ) ) ] )
% 1.11/1.47 , 0, 19, substitution( 0, [ :=( X, meet( converse( sk2 ), composition(
% 1.11/1.47 converse( sk3 ), complement( sk1 ) ) ) )] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4551, [ =( zero, join( meet( composition( sk3, converse( sk2 ) ),
% 1.11/1.47 complement( sk1 ) ), zero ) ) ] )
% 1.11/1.47 , clause( 1485, [ =( composition( zero, X ), zero ) ] )
% 1.11/1.47 , 0, clause( 4550, [ =( composition( zero, meet( converse( sk2 ),
% 1.11/1.47 composition( converse( sk3 ), complement( sk1 ) ) ) ), join( meet(
% 1.11/1.47 composition( sk3, converse( sk2 ) ), complement( sk1 ) ), zero ) ) ] )
% 1.11/1.47 , 0, 1, substitution( 0, [ :=( X, meet( converse( sk2 ), composition(
% 1.11/1.47 converse( sk3 ), complement( sk1 ) ) ) )] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4554, [ =( zero, meet( composition( sk3, converse( sk2 ) ),
% 1.11/1.47 complement( sk1 ) ) ) ] )
% 1.11/1.47 , clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.47 , 0, clause( 4551, [ =( zero, join( meet( composition( sk3, converse( sk2 )
% 1.11/1.47 ), complement( sk1 ) ), zero ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, meet( composition( sk3, converse( sk2 ) )
% 1.11/1.47 , complement( sk1 ) ) )] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4555, [ =( meet( composition( sk3, converse( sk2 ) ), complement(
% 1.11/1.47 sk1 ) ), zero ) ] )
% 1.11/1.47 , clause( 4554, [ =( zero, meet( composition( sk3, converse( sk2 ) ),
% 1.11/1.47 complement( sk1 ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 2271, [ =( meet( composition( sk3, converse( sk2 ) ), complement(
% 1.11/1.47 sk1 ) ), zero ) ] )
% 1.11/1.47 , clause( 4555, [ =( meet( composition( sk3, converse( sk2 ) ), complement(
% 1.11/1.47 sk1 ) ), zero ) ] )
% 1.11/1.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4557, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.11/1.47 ] )
% 1.11/1.47 , clause( 654, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top )
% 1.11/1.47 ] )
% 1.11/1.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4560, [ =( top, join( zero, complement( meet( complement( sk1 ),
% 1.11/1.47 composition( sk3, converse( sk2 ) ) ) ) ) ) ] )
% 1.11/1.47 , clause( 2271, [ =( meet( composition( sk3, converse( sk2 ) ), complement(
% 1.11/1.47 sk1 ) ), zero ) ] )
% 1.11/1.47 , 0, clause( 4557, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) )
% 1.11/1.47 ) ) ] )
% 1.11/1.47 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, composition( sk3,
% 1.11/1.47 converse( sk2 ) ) ), :=( Y, complement( sk1 ) )] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4562, [ =( top, complement( meet( complement( sk1 ), composition(
% 1.11/1.47 sk3, converse( sk2 ) ) ) ) ) ] )
% 1.11/1.47 , clause( 394, [ =( join( zero, X ), X ) ] )
% 1.11/1.47 , 0, clause( 4560, [ =( top, join( zero, complement( meet( complement( sk1
% 1.11/1.47 ), composition( sk3, converse( sk2 ) ) ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, complement( meet( complement( sk1 ),
% 1.11/1.47 composition( sk3, converse( sk2 ) ) ) ) )] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 paramod(
% 1.11/1.47 clause( 4563, [ =( top, join( sk1, complement( composition( sk3, converse(
% 1.11/1.47 sk2 ) ) ) ) ) ] )
% 1.11/1.47 , clause( 620, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.11/1.47 complement( Y ) ) ) ] )
% 1.11/1.47 , 0, clause( 4562, [ =( top, complement( meet( complement( sk1 ),
% 1.11/1.47 composition( sk3, converse( sk2 ) ) ) ) ) ] )
% 1.11/1.47 , 0, 2, substitution( 0, [ :=( X, sk1 ), :=( Y, composition( sk3, converse(
% 1.11/1.47 sk2 ) ) )] ), substitution( 1, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 eqswap(
% 1.11/1.47 clause( 4564, [ =( join( sk1, complement( composition( sk3, converse( sk2 )
% 1.11/1.47 ) ) ), top ) ] )
% 1.11/1.47 , clause( 4563, [ =( top, join( sk1, complement( composition( sk3, converse(
% 1.11/1.47 sk2 ) ) ) ) ) ] )
% 1.11/1.47 , 0, substitution( 0, [] )).
% 1.11/1.47
% 1.11/1.47
% 1.11/1.47 subsumption(
% 1.11/1.47 clause( 2291, [ =( join( sk1, complement( composition( sk3, converse( sk2 )
% 1.11/1.48 ) ) ), top ) ] )
% 1.11/1.48 , clause( 4564, [ =( join( sk1, complement( composition( sk3, converse( sk2
% 1.11/1.48 ) ) ) ), top ) ] )
% 1.11/1.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4566, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X ) ) )
% 1.11/1.48 ] )
% 1.11/1.48 , clause( 1200, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero
% 1.11/1.48 ) ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4572, [ =( zero, meet( complement( join( complement( X ),
% 1.11/1.48 complement( Y ) ) ), complement( meet( Y, X ) ) ) ) ] )
% 1.11/1.48 , clause( 404, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.11/1.48 meet( X, Y ) ) ) ] )
% 1.11/1.48 , 0, clause( 4566, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X
% 1.11/1.48 ) ) ) ] )
% 1.11/1.48 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.11/1.48 :=( X, complement( X ) ), :=( Y, complement( Y ) )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4574, [ =( zero, complement( join( join( complement( X ),
% 1.11/1.48 complement( Y ) ), meet( Y, X ) ) ) ) ] )
% 1.11/1.48 , clause( 1182, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.11/1.48 join( Y, X ) ) ) ] )
% 1.11/1.48 , 0, clause( 4572, [ =( zero, meet( complement( join( complement( X ),
% 1.11/1.48 complement( Y ) ) ), complement( meet( Y, X ) ) ) ) ] )
% 1.11/1.48 , 0, 2, substitution( 0, [ :=( X, meet( Y, X ) ), :=( Y, join( complement(
% 1.11/1.48 X ), complement( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.11/1.48 ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4575, [ =( zero, meet( complement( join( complement( X ), meet( Y,
% 1.11/1.48 X ) ) ), Y ) ) ] )
% 1.11/1.48 , clause( 1185, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.11/1.48 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.11/1.48 , 0, clause( 4574, [ =( zero, complement( join( join( complement( X ),
% 1.11/1.48 complement( Y ) ), meet( Y, X ) ) ) ) ] )
% 1.11/1.48 , 0, 2, substitution( 0, [ :=( X, complement( X ) ), :=( Y, meet( Y, X ) )
% 1.11/1.48 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4576, [ =( zero, meet( meet( X, complement( meet( Y, X ) ) ), Y ) )
% 1.11/1.48 ] )
% 1.11/1.48 , clause( 403, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.11/1.48 complement( X ) ) ) ] )
% 1.11/1.48 , 0, clause( 4575, [ =( zero, meet( complement( join( complement( X ), meet(
% 1.11/1.48 Y, X ) ) ), Y ) ) ] )
% 1.11/1.48 , 0, 3, substitution( 0, [ :=( X, meet( Y, X ) ), :=( Y, X )] ),
% 1.11/1.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4577, [ =( meet( meet( X, complement( meet( Y, X ) ) ), Y ), zero )
% 1.11/1.48 ] )
% 1.11/1.48 , clause( 4576, [ =( zero, meet( meet( X, complement( meet( Y, X ) ) ), Y )
% 1.11/1.48 ) ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 subsumption(
% 1.11/1.48 clause( 3087, [ =( meet( meet( Y, complement( meet( X, Y ) ) ), X ), zero )
% 1.11/1.48 ] )
% 1.11/1.48 , clause( 4577, [ =( meet( meet( X, complement( meet( Y, X ) ) ), Y ), zero
% 1.11/1.48 ) ] )
% 1.11/1.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.48 )] ) ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4579, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) ) ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 1028, [ =( join( meet( Y, complement( X ) ), meet( X, Y ) ), Y )
% 1.11/1.48 ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4583, [ =( X, join( meet( X, complement( meet( Y, complement( meet(
% 1.11/1.48 X, Y ) ) ) ) ), zero ) ) ] )
% 1.11/1.48 , clause( 3087, [ =( meet( meet( Y, complement( meet( X, Y ) ) ), X ), zero
% 1.11/1.48 ) ] )
% 1.11/1.48 , 0, clause( 4579, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) )
% 1.11/1.48 ) ] )
% 1.11/1.48 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.48 :=( X, X ), :=( Y, meet( Y, complement( meet( X, Y ) ) ) )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4584, [ =( X, meet( X, complement( meet( Y, complement( meet( X, Y
% 1.11/1.48 ) ) ) ) ) ) ] )
% 1.11/1.48 , clause( 395, [ =( join( X, zero ), X ) ] )
% 1.11/1.48 , 0, clause( 4583, [ =( X, join( meet( X, complement( meet( Y, complement(
% 1.11/1.48 meet( X, Y ) ) ) ) ), zero ) ) ] )
% 1.11/1.48 , 0, 2, substitution( 0, [ :=( X, meet( X, complement( meet( Y, complement(
% 1.11/1.48 meet( X, Y ) ) ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.11/1.48 ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4585, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) ) ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 621, [ =( complement( meet( Y, complement( X ) ) ), join(
% 1.11/1.48 complement( Y ), X ) ) ] )
% 1.11/1.48 , 0, clause( 4584, [ =( X, meet( X, complement( meet( Y, complement( meet(
% 1.11/1.48 X, Y ) ) ) ) ) ) ] )
% 1.11/1.48 , 0, 4, substitution( 0, [ :=( X, meet( X, Y ) ), :=( Y, Y )] ),
% 1.11/1.48 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4586, [ =( meet( X, join( complement( Y ), meet( X, Y ) ) ), X ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 4585, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) ) )
% 1.11/1.48 ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 subsumption(
% 1.11/1.48 clause( 3609, [ =( meet( Y, join( complement( X ), meet( Y, X ) ) ), Y ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 4586, [ =( meet( X, join( complement( Y ), meet( X, Y ) ) ), X )
% 1.11/1.48 ] )
% 1.11/1.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.48 )] ) ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4587, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) ) ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 3609, [ =( meet( Y, join( complement( X ), meet( Y, X ) ) ), Y )
% 1.11/1.48 ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4588, [ =( X, meet( X, join( meet( X, Y ), complement( Y ) ) ) ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.11/1.48 , 0, clause( 4587, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) )
% 1.11/1.48 ) ] )
% 1.11/1.48 , 0, 4, substitution( 0, [ :=( X, complement( Y ) ), :=( Y, meet( X, Y ) )] )
% 1.11/1.48 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4591, [ =( meet( X, join( meet( X, Y ), complement( Y ) ) ), X ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 4588, [ =( X, meet( X, join( meet( X, Y ), complement( Y ) ) ) )
% 1.11/1.48 ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 subsumption(
% 1.11/1.48 clause( 3640, [ =( meet( Y, join( meet( Y, X ), complement( X ) ) ), Y ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 4591, [ =( meet( X, join( meet( X, Y ), complement( Y ) ) ), X )
% 1.11/1.48 ] )
% 1.11/1.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.48 )] ) ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4593, [ =( join( X, complement( Y ) ), complement( meet( complement(
% 1.11/1.48 X ), Y ) ) ) ] )
% 1.11/1.48 , clause( 620, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.11/1.48 complement( Y ) ) ) ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4598, [ =( join( X, complement( join( meet( complement( X ), Y ),
% 1.11/1.48 complement( Y ) ) ) ), complement( complement( X ) ) ) ] )
% 1.11/1.48 , clause( 3640, [ =( meet( Y, join( meet( Y, X ), complement( X ) ) ), Y )
% 1.11/1.48 ] )
% 1.11/1.48 , 0, clause( 4593, [ =( join( X, complement( Y ) ), complement( meet(
% 1.11/1.48 complement( X ), Y ) ) ) ] )
% 1.11/1.48 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, complement( X ) )] ),
% 1.11/1.48 substitution( 1, [ :=( X, X ), :=( Y, join( meet( complement( X ), Y ),
% 1.11/1.48 complement( Y ) ) )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4599, [ =( join( X, complement( join( meet( complement( X ), Y ),
% 1.11/1.48 complement( Y ) ) ) ), X ) ] )
% 1.11/1.48 , clause( 390, [ =( complement( complement( X ) ), X ) ] )
% 1.11/1.48 , 0, clause( 4598, [ =( join( X, complement( join( meet( complement( X ), Y
% 1.11/1.48 ), complement( Y ) ) ) ), complement( complement( X ) ) ) ] )
% 1.11/1.48 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.11/1.48 :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4600, [ =( join( X, meet( complement( meet( complement( X ), Y ) )
% 1.11/1.48 , Y ) ), X ) ] )
% 1.11/1.48 , clause( 402, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.11/1.48 complement( X ), Y ) ) ] )
% 1.11/1.48 , 0, clause( 4599, [ =( join( X, complement( join( meet( complement( X ), Y
% 1.11/1.48 ), complement( Y ) ) ) ), X ) ] )
% 1.11/1.48 , 0, 3, substitution( 0, [ :=( X, meet( complement( X ), Y ) ), :=( Y, Y )] )
% 1.11/1.48 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4601, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 620, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.11/1.48 complement( Y ) ) ) ] )
% 1.11/1.48 , 0, clause( 4600, [ =( join( X, meet( complement( meet( complement( X ), Y
% 1.11/1.48 ) ), Y ) ), X ) ] )
% 1.11/1.48 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.11/1.48 :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 subsumption(
% 1.11/1.48 clause( 3737, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 4601, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X )
% 1.11/1.48 ] )
% 1.11/1.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.11/1.48 )] ) ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4604, [ =( X, join( X, meet( join( X, complement( Y ) ), Y ) ) ) ]
% 1.11/1.48 )
% 1.11/1.48 , clause( 3737, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X )
% 1.11/1.48 ] )
% 1.11/1.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 eqswap(
% 1.11/1.48 clause( 4606, [ ~( =( sk1, join( sk1, composition( sk3, converse( sk2 ) ) )
% 1.11/1.48 ) ) ] )
% 1.11/1.48 , clause( 24, [ ~( =( join( sk1, composition( sk3, converse( sk2 ) ) ), sk1
% 1.11/1.48 ) ) ] )
% 1.11/1.48 , 0, substitution( 0, [] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4607, [ =( sk1, join( sk1, meet( top, composition( sk3, converse(
% 1.11/1.48 sk2 ) ) ) ) ) ] )
% 1.11/1.48 , clause( 2291, [ =( join( sk1, complement( composition( sk3, converse( sk2
% 1.11/1.48 ) ) ) ), top ) ] )
% 1.11/1.48 , 0, clause( 4604, [ =( X, join( X, meet( join( X, complement( Y ) ), Y ) )
% 1.11/1.48 ) ] )
% 1.11/1.48 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y,
% 1.11/1.48 composition( sk3, converse( sk2 ) ) )] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 paramod(
% 1.11/1.48 clause( 4608, [ =( sk1, join( sk1, composition( sk3, converse( sk2 ) ) ) )
% 1.11/1.48 ] )
% 1.11/1.48 , clause( 415, [ =( meet( top, X ), X ) ] )
% 1.11/1.48 , 0, clause( 4607, [ =( sk1, join( sk1, meet( top, composition( sk3,
% 1.11/1.48 converse( sk2 ) ) ) ) ) ] )
% 1.11/1.48 , 0, 4, substitution( 0, [ :=( X, composition( sk3, converse( sk2 ) ) )] )
% 1.11/1.48 , substitution( 1, [] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 resolution(
% 1.11/1.48 clause( 4609, [] )
% 1.11/1.48 , clause( 4606, [ ~( =( sk1, join( sk1, composition( sk3, converse( sk2 ) )
% 1.11/1.48 ) ) ) ] )
% 1.11/1.48 , 0, clause( 4608, [ =( sk1, join( sk1, composition( sk3, converse( sk2 ) )
% 1.11/1.48 ) ) ] )
% 1.11/1.48 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 subsumption(
% 1.11/1.48 clause( 3769, [] )
% 1.11/1.48 , clause( 4609, [] )
% 1.11/1.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 end.
% 1.11/1.48
% 1.11/1.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.11/1.48
% 1.11/1.48 Memory use:
% 1.11/1.48
% 1.11/1.48 space for terms: 47306
% 1.11/1.48 space for clauses: 416724
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 clauses generated: 63751
% 1.11/1.48 clauses kept: 3770
% 1.11/1.48 clauses selected: 467
% 1.11/1.48 clauses deleted: 270
% 1.11/1.48 clauses inuse deleted: 94
% 1.11/1.48
% 1.11/1.48 subsentry: 4507
% 1.11/1.48 literals s-matched: 2057
% 1.11/1.48 literals matched: 1881
% 1.11/1.48 full subsumption: 0
% 1.11/1.48
% 1.11/1.48 checksum: -137630352
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 Bliksem ended
%------------------------------------------------------------------------------