TSTP Solution File: REL042-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL042-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 19:01:21 EDT 2022
% Result : Unsatisfiable 1.03s 1.42s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL042-2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 13:47:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.03/1.42 *** allocated 10000 integers for termspace/termends
% 1.03/1.42 *** allocated 10000 integers for clauses
% 1.03/1.42 *** allocated 10000 integers for justifications
% 1.03/1.42 Bliksem 1.12
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 Automatic Strategy Selection
% 1.03/1.42
% 1.03/1.42 Clauses:
% 1.03/1.42 [
% 1.03/1.42 [ =( join( X, Y ), join( Y, X ) ) ],
% 1.03/1.42 [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ],
% 1.03/1.42 [ =( X, join( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 complement( join( complement( X ), Y ) ) ) ) ],
% 1.03/1.42 [ =( meet( X, Y ), complement( join( complement( X ), complement( Y ) )
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ =( composition( X, composition( Y, Z ) ), composition( composition( X
% 1.03/1.42 , Y ), Z ) ) ],
% 1.03/1.42 [ =( composition( X, one ), X ) ],
% 1.03/1.42 [ =( composition( join( X, Y ), Z ), join( composition( X, Z ),
% 1.03/1.42 composition( Y, Z ) ) ) ],
% 1.03/1.42 [ =( converse( converse( X ) ), X ) ],
% 1.03/1.42 [ =( converse( join( X, Y ) ), join( converse( X ), converse( Y ) ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ =( converse( composition( X, Y ) ), composition( converse( Y ),
% 1.03/1.42 converse( X ) ) ) ],
% 1.03/1.42 [ =( join( composition( converse( X ), complement( composition( X, Y ) )
% 1.03/1.42 ), complement( Y ) ), complement( Y ) ) ],
% 1.03/1.42 [ =( top, join( X, complement( X ) ) ) ],
% 1.03/1.42 [ =( zero, meet( X, complement( X ) ) ) ],
% 1.03/1.42 [ =( join( meet( composition( X, Y ), Z ), composition( meet( X,
% 1.03/1.42 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 1.03/1.42 ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ), meet(
% 1.03/1.42 Y, composition( converse( X ), Z ) ) ) ) ],
% 1.03/1.42 [ =( join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y
% 1.03/1.42 , composition( converse( X ), Z ) ) ), Z ) ), meet( composition( X, meet(
% 1.03/1.42 Y, composition( converse( X ), Z ) ) ), Z ) ) ],
% 1.03/1.42 [ =( join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 1.03/1.42 composition( Z, converse( Y ) ) ), Y ), Z ) ), meet( composition( meet( X
% 1.03/1.42 , composition( Z, converse( Y ) ) ), Y ), Z ) ) ],
% 1.03/1.42 [ =( meet( composition( sk1, X ), composition( sk1, complement( X ) ) )
% 1.03/1.42 , zero ) ],
% 1.03/1.42 [ ~( =( join( composition( converse( sk1 ), sk1 ), one ), one ) ) ]
% 1.03/1.42 ] .
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 percentage equality = 1.000000, percentage horn = 1.000000
% 1.03/1.42 This is a pure equality problem
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 Options Used:
% 1.03/1.42
% 1.03/1.42 useres = 1
% 1.03/1.42 useparamod = 1
% 1.03/1.42 useeqrefl = 1
% 1.03/1.42 useeqfact = 1
% 1.03/1.42 usefactor = 1
% 1.03/1.42 usesimpsplitting = 0
% 1.03/1.42 usesimpdemod = 5
% 1.03/1.42 usesimpres = 3
% 1.03/1.42
% 1.03/1.42 resimpinuse = 1000
% 1.03/1.42 resimpclauses = 20000
% 1.03/1.42 substype = eqrewr
% 1.03/1.42 backwardsubs = 1
% 1.03/1.42 selectoldest = 5
% 1.03/1.42
% 1.03/1.42 litorderings [0] = split
% 1.03/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.42
% 1.03/1.42 termordering = kbo
% 1.03/1.42
% 1.03/1.42 litapriori = 0
% 1.03/1.42 termapriori = 1
% 1.03/1.42 litaposteriori = 0
% 1.03/1.42 termaposteriori = 0
% 1.03/1.42 demodaposteriori = 0
% 1.03/1.42 ordereqreflfact = 0
% 1.03/1.42
% 1.03/1.42 litselect = negord
% 1.03/1.42
% 1.03/1.42 maxweight = 15
% 1.03/1.42 maxdepth = 30000
% 1.03/1.42 maxlength = 115
% 1.03/1.42 maxnrvars = 195
% 1.03/1.42 excuselevel = 1
% 1.03/1.42 increasemaxweight = 1
% 1.03/1.42
% 1.03/1.42 maxselected = 10000000
% 1.03/1.42 maxnrclauses = 10000000
% 1.03/1.42
% 1.03/1.42 showgenerated = 0
% 1.03/1.42 showkept = 0
% 1.03/1.42 showselected = 0
% 1.03/1.42 showdeleted = 0
% 1.03/1.42 showresimp = 1
% 1.03/1.42 showstatus = 2000
% 1.03/1.42
% 1.03/1.42 prologoutput = 1
% 1.03/1.42 nrgoals = 5000000
% 1.03/1.42 totalproof = 1
% 1.03/1.42
% 1.03/1.42 Symbols occurring in the translation:
% 1.03/1.42
% 1.03/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.42 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 1.03/1.42 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.03/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.42 join [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.03/1.42 complement [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.03/1.42 meet [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.03/1.42 composition [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.03/1.42 one [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.03/1.42 converse [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.03/1.42 top [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.03/1.42 zero [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.03/1.42 sk1 [50, 0] (w:1, o:5, a:1, s:1, b:0).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 Starting Search:
% 1.03/1.42
% 1.03/1.42 Resimplifying inuse:
% 1.03/1.42 Done
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 Intermediate Status:
% 1.03/1.42 Generated: 23622
% 1.03/1.42 Kept: 2002
% 1.03/1.42 Inuse: 278
% 1.03/1.42 Deleted: 162
% 1.03/1.42 Deletedinuse: 50
% 1.03/1.42
% 1.03/1.42 Resimplifying inuse:
% 1.03/1.42 Done
% 1.03/1.42
% 1.03/1.42 Resimplifying inuse:
% 1.03/1.42 Done
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 Bliksems!, er is een bewijs:
% 1.03/1.42 % SZS status Unsatisfiable
% 1.03/1.42 % SZS output start Refutation
% 1.03/1.42
% 1.03/1.42 clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 2, [ =( join( complement( join( complement( X ), complement( Y ) )
% 1.03/1.42 ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.03/1.42 composition( X, Y ), Z ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 5, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.03/1.42 composition( join( X, Y ), Z ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 1.03/1.42 composition( X, Y ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 10, [ =( join( composition( converse( X ), complement( composition(
% 1.03/1.42 X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet( X
% 1.03/1.42 , composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 1.03/1.42 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 1.03/1.42 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 16, [ =( meet( composition( sk1, X ), composition( sk1, complement(
% 1.03/1.42 X ) ) ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 17, [ ~( =( join( composition( converse( sk1 ), sk1 ), one ), one )
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 24, [ ~( =( join( one, composition( converse( sk1 ), sk1 ) ), one )
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y )
% 1.03/1.42 ) ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 31, [ =( join( complement( complement( X ) ), top ), join( X, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 1.03/1.42 converse( Y ), X ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top, X
% 1.03/1.42 ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 56, [ =( join( zero, top ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 59, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse( Y
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 99, [ =( join( composition( converse( X ), complement( composition(
% 1.03/1.42 X, top ) ) ), zero ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 118, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 123, [ =( join( meet( composition( converse( X ), Y ), Z ),
% 1.03/1.42 composition( meet( converse( X ), composition( Z, converse( Y ) ) ), meet(
% 1.03/1.42 Y, composition( X, Z ) ) ) ), composition( meet( converse( X ),
% 1.03/1.42 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 134, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 162, [ =( join( top, top ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 165, [ =( join( X, top ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 176, [ =( join( top, X ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 187, [ =( meet( sk1, composition( sk1, complement( one ) ) ), zero
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 215, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 221, [ =( converse( top ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 282, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 289, [ =( converse( one ), one ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 290, [ =( composition( one, X ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 295, [ =( join( complement( X ), complement( X ) ), complement( X )
% 1.03/1.42 ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 304, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 327, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 332, [ =( join( meet( X, top ), zero ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 350, [ =( join( meet( X, X ), zero ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 355, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 361, [ =( join( meet( top, X ), zero ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 362, [ =( join( X, complement( zero ) ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 366, [ =( meet( X, zero ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 375, [ =( join( zero, meet( top, X ) ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 383, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 393, [ =( meet( X, X ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 398, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 403, [ =( join( zero, X ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 404, [ =( join( X, zero ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 412, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.42 complement( X ), Y ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 413, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.03/1.42 complement( X ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 424, [ =( meet( top, X ), X ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 629, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 630, [ =( complement( meet( Y, complement( X ) ) ), join(
% 1.03/1.42 complement( Y ), X ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 637, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 682, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 683, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero )
% 1.03/1.42 ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1022, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 1040, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 1066, [ =( join( meet( Y, complement( X ) ), meet( X, Y ) ), Y ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 1213, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.03/1.42 join( Y, X ) ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1216, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.03/1.42 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1232, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero )
% 1.03/1.42 ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1455, [ =( composition( converse( X ), complement( composition( X,
% 1.03/1.42 top ) ) ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1467, [ =( composition( top, complement( composition( top, top ) )
% 1.03/1.42 ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1472, [ =( composition( X, complement( composition( top, top ) ) )
% 1.03/1.42 , zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 1473, [ =( composition( X, zero ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 2258, [ =( meet( composition( converse( sk1 ), sk1 ), complement(
% 1.03/1.42 one ) ), zero ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 2266, [ =( join( one, complement( composition( converse( sk1 ), sk1
% 1.03/1.42 ) ) ), top ) ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 3095, [ =( meet( meet( Y, complement( meet( X, Y ) ) ), X ), zero )
% 1.03/1.42 ] )
% 1.03/1.42 .
% 1.03/1.42 clause( 3600, [ =( meet( Y, join( complement( X ), meet( Y, X ) ) ), Y ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 3632, [ =( meet( Y, join( meet( Y, X ), complement( X ) ) ), Y ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 3730, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X ) ]
% 1.03/1.42 )
% 1.03/1.42 .
% 1.03/1.42 clause( 3762, [] )
% 1.03/1.42 .
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 % SZS output end Refutation
% 1.03/1.42 found a proof!
% 1.03/1.42
% 1.03/1.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.03/1.42
% 1.03/1.42 initialclauses(
% 1.03/1.42 [ clause( 3764, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , clause( 3765, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 3766, [ =( X, join( complement( join( complement( X ), complement(
% 1.03/1.42 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3767, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3768, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.03/1.42 composition( X, Y ), Z ) ) ] )
% 1.03/1.42 , clause( 3769, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , clause( 3770, [ =( composition( join( X, Y ), Z ), join( composition( X,
% 1.03/1.42 Z ), composition( Y, Z ) ) ) ] )
% 1.03/1.42 , clause( 3771, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , clause( 3772, [ =( converse( join( X, Y ) ), join( converse( X ),
% 1.03/1.42 converse( Y ) ) ) ] )
% 1.03/1.42 , clause( 3773, [ =( converse( composition( X, Y ) ), composition( converse(
% 1.03/1.42 Y ), converse( X ) ) ) ] )
% 1.03/1.42 , clause( 3774, [ =( join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 1.03/1.42 , clause( 3775, [ =( top, join( X, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 3776, [ =( zero, meet( X, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 3777, [ =( join( meet( composition( X, Y ), Z ), composition(
% 1.03/1.42 meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 1.03/1.42 converse( X ), Z ) ) ) ), composition( meet( X, composition( Z, converse(
% 1.03/1.42 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 1.03/1.42 , clause( 3778, [ =( join( meet( composition( X, Y ), Z ), meet(
% 1.03/1.42 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ), meet(
% 1.03/1.42 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) ] )
% 1.03/1.42 , clause( 3779, [ =( join( meet( composition( X, Y ), Z ), meet(
% 1.03/1.42 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ), meet(
% 1.03/1.42 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) ] )
% 1.03/1.42 , clause( 3780, [ =( meet( composition( sk1, X ), composition( sk1,
% 1.03/1.42 complement( X ) ) ), zero ) ] )
% 1.03/1.42 , clause( 3781, [ ~( =( join( composition( converse( sk1 ), sk1 ), one ),
% 1.03/1.42 one ) ) ] )
% 1.03/1.42 ] ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , clause( 3764, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , clause( 3765, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3784, [ =( join( complement( join( complement( X ), complement( Y )
% 1.03/1.42 ) ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 1.03/1.42 , clause( 3766, [ =( X, join( complement( join( complement( X ), complement(
% 1.03/1.42 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 2, [ =( join( complement( join( complement( X ), complement( Y ) )
% 1.03/1.42 ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 1.03/1.42 , clause( 3784, [ =( join( complement( join( complement( X ), complement( Y
% 1.03/1.42 ) ) ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3787, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , clause( 3767, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , clause( 3787, [ =( complement( join( complement( X ), complement( Y ) ) )
% 1.03/1.42 , meet( X, Y ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.03/1.42 composition( X, Y ), Z ) ) ] )
% 1.03/1.42 , clause( 3768, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.03/1.42 composition( X, Y ), Z ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 5, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , clause( 3769, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3802, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.03/1.42 composition( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , clause( 3770, [ =( composition( join( X, Y ), Z ), join( composition( X,
% 1.03/1.42 Z ), composition( Y, Z ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.03/1.42 composition( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , clause( 3802, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.03/1.42 composition( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , clause( 3771, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3817, [ =( join( converse( X ), converse( Y ) ), converse( join( X
% 1.03/1.42 , Y ) ) ) ] )
% 1.03/1.42 , clause( 3772, [ =( converse( join( X, Y ) ), join( converse( X ),
% 1.03/1.42 converse( Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 3817, [ =( join( converse( X ), converse( Y ) ), converse( join(
% 1.03/1.42 X, Y ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3826, [ =( composition( converse( Y ), converse( X ) ), converse(
% 1.03/1.42 composition( X, Y ) ) ) ] )
% 1.03/1.42 , clause( 3773, [ =( converse( composition( X, Y ) ), composition( converse(
% 1.03/1.42 Y ), converse( X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 1.03/1.42 composition( X, Y ) ) ) ] )
% 1.03/1.42 , clause( 3826, [ =( composition( converse( Y ), converse( X ) ), converse(
% 1.03/1.42 composition( X, Y ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 10, [ =( join( composition( converse( X ), complement( composition(
% 1.03/1.42 X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 1.03/1.42 , clause( 3774, [ =( join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3847, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , clause( 3775, [ =( top, join( X, complement( X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , clause( 3847, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3859, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 , clause( 3776, [ =( zero, meet( X, complement( X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 , clause( 3859, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet( X
% 1.03/1.42 , composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 1.03/1.42 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 1.03/1.42 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 1.03/1.42 , clause( 3777, [ =( join( meet( composition( X, Y ), Z ), composition(
% 1.03/1.42 meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 1.03/1.42 converse( X ), Z ) ) ) ), composition( meet( X, composition( Z, converse(
% 1.03/1.42 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 16, [ =( meet( composition( sk1, X ), composition( sk1, complement(
% 1.03/1.42 X ) ) ), zero ) ] )
% 1.03/1.42 , clause( 3780, [ =( meet( composition( sk1, X ), composition( sk1,
% 1.03/1.42 complement( X ) ) ), zero ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 17, [ ~( =( join( composition( converse( sk1 ), sk1 ), one ), one )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 3781, [ ~( =( join( composition( converse( sk1 ), sk1 ), one ),
% 1.03/1.42 one ) ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3906, [ =( top, join( X, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3907, [ =( top, join( complement( X ), X ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 3906, [ =( top, join( X, complement( X ) ) ) ] )
% 1.03/1.42 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, complement( X ) )] ),
% 1.03/1.42 substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3910, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 , clause( 3907, [ =( top, join( complement( X ), X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 , clause( 3910, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3911, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 1.03/1.42 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3916, [ =( join( join( X, Y ), Z ), join( X, join( Z, Y ) ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 3911, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3929, [ =( join( join( X, Y ), Z ), join( join( X, Z ), Y ) ) ] )
% 1.03/1.42 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , 0, clause( 3916, [ =( join( join( X, Y ), Z ), join( X, join( Z, Y ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.03/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ] )
% 1.03/1.42 , clause( 3929, [ =( join( join( X, Y ), Z ), join( join( X, Z ), Y ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3931, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 1.03/1.42 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3934, [ =( join( join( X, Y ), complement( Y ) ), join( X, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , 0, clause( 3931, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, Y ), :=( Z, complement( Y ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 3934, [ =( join( join( X, Y ), complement( Y ) ), join( X, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3938, [ ~( =( one, join( composition( converse( sk1 ), sk1 ), one )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 17, [ ~( =( join( composition( converse( sk1 ), sk1 ), one ), one
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3939, [ ~( =( one, join( one, composition( converse( sk1 ), sk1 ) )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 3938, [ ~( =( one, join( composition( converse( sk1 ), sk1 ),
% 1.03/1.42 one ) ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, composition( converse( sk1 ), sk1 ) ),
% 1.03/1.42 :=( Y, one )] ), substitution( 1, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3942, [ ~( =( join( one, composition( converse( sk1 ), sk1 ) ), one
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 3939, [ ~( =( one, join( one, composition( converse( sk1 ), sk1 )
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 24, [ ~( =( join( one, composition( converse( sk1 ), sk1 ) ), one )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 3942, [ ~( =( join( one, composition( converse( sk1 ), sk1 ) ),
% 1.03/1.42 one ) ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3943, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3946, [ =( join( X, top ), join( join( Y, X ), complement( Y ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 3943, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3959, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 3946, [ =( join( X, top ), join( join( Y, X ), complement( Y ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 3959, [ =( join( join( Y, X ), complement( Y ) ), join( X, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3961, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3962, [ =( join( X, top ), join( top, complement( complement( X ) )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , 0, clause( 3961, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, complement( X ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3963, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 3962, [ =( join( X, top ), join( top, complement( complement( X )
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 3963, [ =( join( top, complement( complement( X ) ) ), join( X,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3966, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.03/1.42 ) ) ), X ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, clause( 2, [ =( join( complement( join( complement( X ), complement( Y
% 1.03/1.42 ) ) ), complement( join( complement( X ), Y ) ) ), X ) ] )
% 1.03/1.42 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y )
% 1.03/1.42 ) ), X ) ] )
% 1.03/1.42 , clause( 3966, [ =( join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3968, [ =( join( X, top ), join( top, complement( complement( X ) )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3970, [ =( join( X, top ), join( complement( complement( X ) ), top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 3968, [ =( join( X, top ), join( top, complement( complement(
% 1.03/1.42 X ) ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, top ), :=( Y, complement( complement( X )
% 1.03/1.42 ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3976, [ =( join( complement( complement( X ) ), top ), join( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 3970, [ =( join( X, top ), join( complement( complement( X ) ),
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 31, [ =( join( complement( complement( X ) ), top ), join( X, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 3976, [ =( join( complement( complement( X ) ), top ), join( X,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3978, [ =( converse( composition( Y, X ) ), composition( converse(
% 1.03/1.42 X ), converse( Y ) ) ) ] )
% 1.03/1.42 , clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 1.03/1.42 composition( X, Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3980, [ =( converse( composition( converse( X ), Y ) ), composition(
% 1.03/1.42 converse( Y ), X ) ) ] )
% 1.03/1.42 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 3978, [ =( converse( composition( Y, X ) ), composition(
% 1.03/1.42 converse( X ), converse( Y ) ) ) ] )
% 1.03/1.42 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.03/1.42 :=( Y, converse( X ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 1.03/1.42 converse( Y ), X ) ) ] )
% 1.03/1.42 , clause( 3980, [ =( converse( composition( converse( X ), Y ) ),
% 1.03/1.42 composition( converse( Y ), X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3983, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3985, [ =( meet( X, Y ), complement( join( complement( Y ),
% 1.03/1.42 complement( X ) ) ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 3983, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, complement( X ) ), :=( Y, complement( Y )
% 1.03/1.42 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3987, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, clause( 3985, [ =( meet( X, Y ), complement( join( complement( Y ),
% 1.03/1.42 complement( X ) ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.03/1.42 , clause( 3987, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3989, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3992, [ =( meet( X, complement( X ) ), complement( top ) ) ] )
% 1.03/1.42 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , 0, clause( 3989, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, complement( X ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3993, [ =( zero, complement( top ) ) ] )
% 1.03/1.42 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 , 0, clause( 3992, [ =( meet( X, complement( X ) ), complement( top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3994, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , clause( 3993, [ =( zero, complement( top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , clause( 3994, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3996, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 3997, [ =( meet( top, X ), complement( join( zero, complement( X )
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 3996, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, top ), :=( Y, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 3999, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.03/1.42 X ) ) ] )
% 1.03/1.42 , clause( 3997, [ =( meet( top, X ), complement( join( zero, complement( X
% 1.03/1.42 ) ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top, X
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 3999, [ =( complement( join( zero, complement( X ) ) ), meet( top
% 1.03/1.42 , X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4002, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4004, [ =( meet( X, top ), complement( join( complement( X ), zero
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4002, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, top )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4006, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , clause( 4004, [ =( meet( X, top ), complement( join( complement( X ),
% 1.03/1.42 zero ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 4006, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4008, [ =( top, join( complement( X ), X ) ) ] )
% 1.03/1.42 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4009, [ =( top, join( zero, top ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4008, [ =( top, join( complement( X ), X ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, top )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4010, [ =( join( zero, top ), top ) ] )
% 1.03/1.42 , clause( 4009, [ =( top, join( zero, top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 56, [ =( join( zero, top ), top ) ] )
% 1.03/1.42 , clause( 4010, [ =( join( zero, top ), top ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4012, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 1.03/1.42 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4014, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 1.03/1.42 , clause( 56, [ =( join( zero, top ), top ) ] )
% 1.03/1.42 , 0, clause( 4012, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, zero )
% 1.03/1.42 , :=( Z, top )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 59, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 1.03/1.42 , clause( 4014, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4018, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 1.03/1.42 Y ) ) ) ] )
% 1.03/1.42 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 1.03/1.42 Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4019, [ =( converse( join( converse( X ), Y ) ), join( X, converse(
% 1.03/1.42 Y ) ) ) ] )
% 1.03/1.42 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4018, [ =( converse( join( X, Y ) ), join( converse( X ),
% 1.03/1.42 converse( Y ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 converse( X ) ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse( Y
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 4019, [ =( converse( join( converse( X ), Y ) ), join( X,
% 1.03/1.42 converse( Y ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4024, [ =( complement( Y ), join( composition( converse( X ),
% 1.03/1.42 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 10, [ =( join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4026, [ =( complement( top ), join( composition( converse( X ),
% 1.03/1.42 complement( composition( X, top ) ) ), zero ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4024, [ =( complement( Y ), join( composition( converse( X ),
% 1.03/1.42 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 1.03/1.42 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, top )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4027, [ =( zero, join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, top ) ) ), zero ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4026, [ =( complement( top ), join( composition( converse( X )
% 1.03/1.42 , complement( composition( X, top ) ) ), zero ) ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4029, [ =( join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, top ) ) ), zero ), zero ) ] )
% 1.03/1.42 , clause( 4027, [ =( zero, join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, top ) ) ), zero ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 99, [ =( join( composition( converse( X ), complement( composition(
% 1.03/1.42 X, top ) ) ), zero ), zero ) ] )
% 1.03/1.42 , clause( 4029, [ =( join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, top ) ) ), zero ), zero ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4032, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4034, [ =( join( meet( composition( X, Y ), Z ), top ), join(
% 1.03/1.42 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.03/1.42 composition( converse( X ), Z ) ) ), complement( composition( meet( X,
% 1.03/1.42 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 1.03/1.42 ) ) ) ) ) ) ] )
% 1.03/1.42 , clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet(
% 1.03/1.42 X, composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 1.03/1.42 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 1.03/1.42 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 1.03/1.42 , 0, clause( 4032, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.42 substitution( 1, [ :=( X, meet( composition( X, Y ), Z ) ), :=( Y,
% 1.03/1.42 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.03/1.42 composition( converse( X ), Z ) ) ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4035, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 1.03/1.42 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , 0, clause( 4034, [ =( join( meet( composition( X, Y ), Z ), top ), join(
% 1.03/1.42 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.03/1.42 composition( converse( X ), Z ) ) ), complement( composition( meet( X,
% 1.03/1.42 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 1.03/1.42 ) ) ) ) ) ) ] )
% 1.03/1.42 , 0, 8, substitution( 0, [ :=( X, composition( meet( X, composition( Z,
% 1.03/1.42 converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) )] ),
% 1.03/1.42 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 118, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 1.03/1.42 , clause( 4035, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ]
% 1.03/1.42 )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4038, [ =( composition( meet( X, composition( Z, converse( Y ) ) )
% 1.03/1.42 , meet( Y, composition( converse( X ), Z ) ) ), join( meet( composition(
% 1.03/1.42 X, Y ), Z ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 1.03/1.42 meet( Y, composition( converse( X ), Z ) ) ) ) ) ] )
% 1.03/1.42 , clause( 13, [ =( join( meet( composition( X, Y ), Z ), composition( meet(
% 1.03/1.42 X, composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X )
% 1.03/1.42 , Z ) ) ) ), composition( meet( X, composition( Z, converse( Y ) ) ),
% 1.03/1.42 meet( Y, composition( converse( X ), Z ) ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4042, [ =( composition( meet( converse( X ), composition( Y,
% 1.03/1.42 converse( Z ) ) ), meet( Z, composition( converse( converse( X ) ), Y ) )
% 1.03/1.42 ), join( meet( composition( converse( X ), Z ), Y ), composition( meet(
% 1.03/1.42 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 1.03/1.42 , Y ) ) ) ) ) ] )
% 1.03/1.42 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4038, [ =( composition( meet( X, composition( Z, converse( Y )
% 1.03/1.42 ) ), meet( Y, composition( converse( X ), Z ) ) ), join( meet(
% 1.03/1.42 composition( X, Y ), Z ), composition( meet( X, composition( Z, converse(
% 1.03/1.42 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) ) ] )
% 1.03/1.42 , 0, 34, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 converse( X ) ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4043, [ =( composition( meet( converse( X ), composition( Y,
% 1.03/1.42 converse( Z ) ) ), meet( Z, composition( X, Y ) ) ), join( meet(
% 1.03/1.42 composition( converse( X ), Z ), Y ), composition( meet( converse( X ),
% 1.03/1.42 composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4042, [ =( composition( meet( converse( X ), composition( Y,
% 1.03/1.42 converse( Z ) ) ), meet( Z, composition( converse( converse( X ) ), Y ) )
% 1.03/1.42 ), join( meet( composition( converse( X ), Z ), Y ), composition( meet(
% 1.03/1.42 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 1.03/1.42 , Y ) ) ) ) ) ] )
% 1.03/1.42 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4049, [ =( join( meet( composition( converse( X ), Z ), Y ),
% 1.03/1.42 composition( meet( converse( X ), composition( Y, converse( Z ) ) ), meet(
% 1.03/1.42 Z, composition( X, Y ) ) ) ), composition( meet( converse( X ),
% 1.03/1.42 composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 4043, [ =( composition( meet( converse( X ), composition( Y,
% 1.03/1.42 converse( Z ) ) ), meet( Z, composition( X, Y ) ) ), join( meet(
% 1.03/1.42 composition( converse( X ), Z ), Y ), composition( meet( converse( X ),
% 1.03/1.42 composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 123, [ =( join( meet( composition( converse( X ), Y ), Z ),
% 1.03/1.42 composition( meet( converse( X ), composition( Z, converse( Y ) ) ), meet(
% 1.03/1.42 Y, composition( X, Z ) ) ) ), composition( meet( converse( X ),
% 1.03/1.42 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 4049, [ =( join( meet( composition( converse( X ), Z ), Y ),
% 1.03/1.42 composition( meet( converse( X ), composition( Y, converse( Z ) ) ), meet(
% 1.03/1.42 Z, composition( X, Y ) ) ) ), composition( meet( converse( X ),
% 1.03/1.42 composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.03/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4052, [ =( top, join( meet( composition( X, Y ), Z ), top ) ) ] )
% 1.03/1.42 , clause( 118, [ =( join( meet( composition( X, Y ), Z ), top ), top ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4053, [ =( top, join( meet( X, Y ), top ) ) ] )
% 1.03/1.42 , clause( 5, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , 0, clause( 4052, [ =( top, join( meet( composition( X, Y ), Z ), top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, one ), :=( Z, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4054, [ =( join( meet( X, Y ), top ), top ) ] )
% 1.03/1.42 , clause( 4053, [ =( top, join( meet( X, Y ), top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 1.03/1.42 , clause( 4054, [ =( join( meet( X, Y ), top ), top ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4056, [ =( join( Y, top ), join( join( X, Y ), complement( X ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 28, [ =( join( join( Y, X ), complement( Y ) ), join( X, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4058, [ =( join( top, top ), join( top, complement( meet( X, Y ) )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 1.03/1.42 , 0, clause( 4056, [ =( join( Y, top ), join( join( X, Y ), complement( X )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.42 :=( X, meet( X, Y ) ), :=( Y, top )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4060, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 4058, [ =( join( top, top ), join( top, complement( meet( X, Y )
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 134, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 4060, [ =( join( top, complement( meet( X, Y ) ) ), join( top,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4062, [ =( join( X, top ), join( top, complement( complement( X ) )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 29, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4065, [ =( join( join( complement( X ), zero ), top ), join( top,
% 1.03/1.42 complement( meet( X, top ) ) ) ) ] )
% 1.03/1.42 , clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , 0, clause( 4062, [ =( join( X, top ), join( top, complement( complement(
% 1.03/1.42 X ) ) ) ) ] )
% 1.03/1.42 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, join(
% 1.03/1.42 complement( X ), zero ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4066, [ =( join( join( complement( X ), zero ), top ), join( top,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , clause( 134, [ =( join( top, complement( meet( X, Y ) ) ), join( top, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, clause( 4065, [ =( join( join( complement( X ), zero ), top ), join(
% 1.03/1.42 top, complement( meet( X, top ) ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, top )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4067, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 1.03/1.42 , clause( 59, [ =( join( join( X, zero ), top ), join( X, top ) ) ] )
% 1.03/1.42 , 0, clause( 4066, [ =( join( join( complement( X ), zero ), top ), join(
% 1.03/1.42 top, top ) ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 1.03/1.42 , clause( 4067, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4070, [ =( join( top, top ), join( complement( X ), top ) ) ] )
% 1.03/1.42 , clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4072, [ =( join( top, top ), join( meet( X, top ), top ) ) ] )
% 1.03/1.42 , clause( 51, [ =( complement( join( complement( X ), zero ) ), meet( X,
% 1.03/1.42 top ) ) ] )
% 1.03/1.42 , 0, clause( 4070, [ =( join( top, top ), join( complement( X ), top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, join(
% 1.03/1.42 complement( X ), zero ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4073, [ =( join( top, top ), top ) ] )
% 1.03/1.42 , clause( 132, [ =( join( meet( X, Y ), top ), top ) ] )
% 1.03/1.42 , 0, clause( 4072, [ =( join( top, top ), join( meet( X, top ), top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, top )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 162, [ =( join( top, top ), top ) ] )
% 1.03/1.42 , clause( 4073, [ =( join( top, top ), top ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4075, [ =( join( top, top ), join( complement( X ), top ) ) ] )
% 1.03/1.42 , clause( 157, [ =( join( complement( X ), top ), join( top, top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4078, [ =( join( top, top ), join( X, top ) ) ] )
% 1.03/1.42 , clause( 31, [ =( join( complement( complement( X ) ), top ), join( X, top
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, clause( 4075, [ =( join( top, top ), join( complement( X ), top ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 complement( X ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4079, [ =( top, join( X, top ) ) ] )
% 1.03/1.42 , clause( 162, [ =( join( top, top ), top ) ] )
% 1.03/1.42 , 0, clause( 4078, [ =( join( top, top ), join( X, top ) ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4080, [ =( join( X, top ), top ) ] )
% 1.03/1.42 , clause( 4079, [ =( top, join( X, top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 165, [ =( join( X, top ), top ) ] )
% 1.03/1.42 , clause( 4080, [ =( join( X, top ), top ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4081, [ =( top, join( X, top ) ) ] )
% 1.03/1.42 , clause( 165, [ =( join( X, top ), top ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4082, [ =( top, join( top, X ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 4081, [ =( top, join( X, top ) ) ] )
% 1.03/1.42 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, top )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4085, [ =( join( top, X ), top ) ] )
% 1.03/1.42 , clause( 4082, [ =( top, join( top, X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 176, [ =( join( top, X ), top ) ] )
% 1.03/1.42 , clause( 4085, [ =( join( top, X ), top ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4087, [ =( zero, meet( composition( sk1, X ), composition( sk1,
% 1.03/1.42 complement( X ) ) ) ) ] )
% 1.03/1.42 , clause( 16, [ =( meet( composition( sk1, X ), composition( sk1,
% 1.03/1.42 complement( X ) ) ), zero ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4088, [ =( zero, meet( sk1, composition( sk1, complement( one ) ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 5, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , 0, clause( 4087, [ =( zero, meet( composition( sk1, X ), composition( sk1
% 1.03/1.42 , complement( X ) ) ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [ :=( X, one )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4089, [ =( meet( sk1, composition( sk1, complement( one ) ) ), zero
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 4088, [ =( zero, meet( sk1, composition( sk1, complement( one ) )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 187, [ =( meet( sk1, composition( sk1, complement( one ) ) ), zero
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 4089, [ =( meet( sk1, composition( sk1, complement( one ) ) ),
% 1.03/1.42 zero ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4091, [ =( join( X, converse( Y ) ), converse( join( converse( X )
% 1.03/1.42 , Y ) ) ) ] )
% 1.03/1.42 , clause( 76, [ =( converse( join( converse( X ), Y ) ), join( X, converse(
% 1.03/1.42 Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4092, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 1.03/1.42 , clause( 165, [ =( join( X, top ), top ) ] )
% 1.03/1.42 , 0, clause( 4091, [ =( join( X, converse( Y ) ), converse( join( converse(
% 1.03/1.42 X ), Y ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, top )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 215, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 1.03/1.42 , clause( 4092, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4094, [ =( converse( top ), join( X, converse( top ) ) ) ] )
% 1.03/1.42 , clause( 215, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4096, [ =( converse( top ), top ) ] )
% 1.03/1.42 , clause( 176, [ =( join( top, X ), top ) ] )
% 1.03/1.42 , 0, clause( 4094, [ =( converse( top ), join( X, converse( top ) ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, converse( top ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, top )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 221, [ =( converse( top ), top ) ] )
% 1.03/1.42 , clause( 4096, [ =( converse( top ), top ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4099, [ =( composition( converse( Y ), X ), converse( composition(
% 1.03/1.42 converse( X ), Y ) ) ) ] )
% 1.03/1.42 , clause( 39, [ =( converse( composition( converse( X ), Y ) ), composition(
% 1.03/1.42 converse( Y ), X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4102, [ =( composition( converse( one ), X ), converse( converse( X
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 5, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , 0, clause( 4099, [ =( composition( converse( Y ), X ), converse(
% 1.03/1.42 composition( converse( X ), Y ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, one )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4103, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4102, [ =( composition( converse( one ), X ), converse(
% 1.03/1.42 converse( X ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 282, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 , clause( 4103, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4105, [ =( X, composition( converse( one ), X ) ) ] )
% 1.03/1.42 , clause( 282, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4107, [ =( one, converse( one ) ) ] )
% 1.03/1.42 , clause( 5, [ =( composition( X, one ), X ) ] )
% 1.03/1.42 , 0, clause( 4105, [ =( X, composition( converse( one ), X ) ) ] )
% 1.03/1.42 , 0, 2, substitution( 0, [ :=( X, converse( one ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, one )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4108, [ =( converse( one ), one ) ] )
% 1.03/1.42 , clause( 4107, [ =( one, converse( one ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 289, [ =( converse( one ), one ) ] )
% 1.03/1.42 , clause( 4108, [ =( converse( one ), one ) ] )
% 1.03/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4110, [ =( X, composition( converse( one ), X ) ) ] )
% 1.03/1.42 , clause( 282, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4111, [ =( X, composition( one, X ) ) ] )
% 1.03/1.42 , clause( 289, [ =( converse( one ), one ) ] )
% 1.03/1.42 , 0, clause( 4110, [ =( X, composition( converse( one ), X ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4112, [ =( composition( one, X ), X ) ] )
% 1.03/1.42 , clause( 4111, [ =( X, composition( one, X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 290, [ =( composition( one, X ), X ) ] )
% 1.03/1.42 , clause( 4112, [ =( composition( one, X ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4114, [ =( complement( Y ), join( composition( converse( X ),
% 1.03/1.42 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 10, [ =( join( composition( converse( X ), complement(
% 1.03/1.42 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4116, [ =( complement( X ), join( composition( converse( one ),
% 1.03/1.42 complement( X ) ), complement( X ) ) ) ] )
% 1.03/1.42 , clause( 290, [ =( composition( one, X ), X ) ] )
% 1.03/1.42 , 0, clause( 4114, [ =( complement( Y ), join( composition( converse( X ),
% 1.03/1.42 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 1.03/1.42 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 1.03/1.42 :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4117, [ =( complement( X ), join( complement( X ), complement( X )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 282, [ =( composition( converse( one ), X ), X ) ] )
% 1.03/1.42 , 0, clause( 4116, [ =( complement( X ), join( composition( converse( one )
% 1.03/1.42 , complement( X ) ), complement( X ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4118, [ =( join( complement( X ), complement( X ) ), complement( X
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 4117, [ =( complement( X ), join( complement( X ), complement( X
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 295, [ =( join( complement( X ), complement( X ) ), complement( X )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 4118, [ =( join( complement( X ), complement( X ) ), complement(
% 1.03/1.42 X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4120, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4135, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , clause( 295, [ =( join( complement( X ), complement( X ) ), complement( X
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, clause( 4120, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4136, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 , clause( 4135, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 304, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 , clause( 4136, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4137, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , clause( 304, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4138, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ) ) ] )
% 1.03/1.42 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.03/1.42 ) ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4141, [ =( X, join( complement( complement( X ) ), complement( join(
% 1.03/1.42 complement( X ), X ) ) ) ) ] )
% 1.03/1.42 , clause( 4137, [ =( meet( X, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , 0, clause( 4138, [ =( X, join( meet( X, Y ), complement( join( complement(
% 1.03/1.42 X ), Y ) ) ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4142, [ =( X, join( complement( complement( X ) ), complement( top
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 , 0, clause( 4141, [ =( X, join( complement( complement( X ) ), complement(
% 1.03/1.42 join( complement( X ), X ) ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4143, [ =( X, join( complement( complement( X ) ), zero ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4142, [ =( X, join( complement( complement( X ) ), complement(
% 1.03/1.42 top ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4144, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 1.03/1.42 , clause( 4143, [ =( X, join( complement( complement( X ) ), zero ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 327, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 1.03/1.42 , clause( 4144, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4146, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ) ) ] )
% 1.03/1.42 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.03/1.42 ) ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4149, [ =( X, join( meet( X, converse( top ) ), complement(
% 1.03/1.42 converse( top ) ) ) ) ] )
% 1.03/1.42 , clause( 215, [ =( join( X, converse( top ) ), converse( top ) ) ] )
% 1.03/1.42 , 0, clause( 4146, [ =( X, join( meet( X, Y ), complement( join( complement(
% 1.03/1.42 X ), Y ) ) ) ) ] )
% 1.03/1.42 , 0, 8, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, converse( top ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4151, [ =( X, join( meet( X, converse( top ) ), complement( top ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , clause( 221, [ =( converse( top ), top ) ] )
% 1.03/1.42 , 0, clause( 4149, [ =( X, join( meet( X, converse( top ) ), complement(
% 1.03/1.42 converse( top ) ) ) ) ] )
% 1.03/1.42 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4152, [ =( X, join( meet( X, top ), complement( top ) ) ) ] )
% 1.03/1.42 , clause( 221, [ =( converse( top ), top ) ] )
% 1.03/1.42 , 0, clause( 4151, [ =( X, join( meet( X, converse( top ) ), complement(
% 1.03/1.42 top ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4155, [ =( X, join( meet( X, top ), zero ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4152, [ =( X, join( meet( X, top ), complement( top ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4156, [ =( join( meet( X, top ), zero ), X ) ] )
% 1.03/1.42 , clause( 4155, [ =( X, join( meet( X, top ), zero ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 332, [ =( join( meet( X, top ), zero ), X ) ] )
% 1.03/1.42 , clause( 4156, [ =( join( meet( X, top ), zero ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4158, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ) ) ] )
% 1.03/1.42 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.03/1.42 ) ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4160, [ =( X, join( meet( X, X ), complement( top ) ) ) ] )
% 1.03/1.42 , clause( 18, [ =( join( complement( X ), X ), top ) ] )
% 1.03/1.42 , 0, clause( 4158, [ =( X, join( meet( X, Y ), complement( join( complement(
% 1.03/1.42 X ), Y ) ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4161, [ =( X, join( meet( X, X ), zero ) ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4160, [ =( X, join( meet( X, X ), complement( top ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4162, [ =( join( meet( X, X ), zero ), X ) ] )
% 1.03/1.42 , clause( 4161, [ =( X, join( meet( X, X ), zero ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 350, [ =( join( meet( X, X ), zero ), X ) ] )
% 1.03/1.42 , clause( 4162, [ =( join( meet( X, X ), zero ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4164, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ) ) ] )
% 1.03/1.42 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.03/1.42 ) ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4166, [ =( X, join( zero, complement( join( complement( X ),
% 1.03/1.42 complement( X ) ) ) ) ) ] )
% 1.03/1.42 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 , 0, clause( 4164, [ =( X, join( meet( X, Y ), complement( join( complement(
% 1.03/1.42 X ), Y ) ) ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, complement( X ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4167, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, clause( 4166, [ =( X, join( zero, complement( join( complement( X ),
% 1.03/1.42 complement( X ) ) ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4168, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.03/1.42 , clause( 4167, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 355, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.03/1.42 , clause( 4168, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4169, [ =( X, join( meet( X, top ), zero ) ) ] )
% 1.03/1.42 , clause( 332, [ =( join( meet( X, top ), zero ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4170, [ =( X, join( meet( top, X ), zero ) ) ] )
% 1.03/1.42 , clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.03/1.42 , 0, clause( 4169, [ =( X, join( meet( X, top ), zero ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, top ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4173, [ =( join( meet( top, X ), zero ), X ) ] )
% 1.03/1.42 , clause( 4170, [ =( X, join( meet( top, X ), zero ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 361, [ =( join( meet( top, X ), zero ), X ) ] )
% 1.03/1.42 , clause( 4173, [ =( join( meet( top, X ), zero ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4175, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 21, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4177, [ =( join( meet( X, top ), top ), join( X, complement( zero )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 332, [ =( join( meet( X, top ), zero ), X ) ] )
% 1.03/1.42 , 0, clause( 4175, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, meet( X
% 1.03/1.42 , top ) ), :=( Y, zero )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4178, [ =( top, join( X, complement( zero ) ) ) ] )
% 1.03/1.42 , clause( 165, [ =( join( X, top ), top ) ] )
% 1.03/1.42 , 0, clause( 4177, [ =( join( meet( X, top ), top ), join( X, complement(
% 1.03/1.42 zero ) ) ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [ :=( X, meet( X, top ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4179, [ =( join( X, complement( zero ) ), top ) ] )
% 1.03/1.42 , clause( 4178, [ =( top, join( X, complement( zero ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 362, [ =( join( X, complement( zero ) ), top ) ] )
% 1.03/1.42 , clause( 4179, [ =( join( X, complement( zero ) ), top ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4181, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4183, [ =( meet( X, zero ), complement( top ) ) ] )
% 1.03/1.42 , clause( 362, [ =( join( X, complement( zero ) ), top ) ] )
% 1.03/1.42 , 0, clause( 4181, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, zero )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4184, [ =( meet( X, zero ), zero ) ] )
% 1.03/1.42 , clause( 49, [ =( complement( top ), zero ) ] )
% 1.03/1.42 , 0, clause( 4183, [ =( meet( X, zero ), complement( top ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 366, [ =( meet( X, zero ), zero ) ] )
% 1.03/1.42 , clause( 4184, [ =( meet( X, zero ), zero ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4186, [ =( X, join( meet( top, X ), zero ) ) ] )
% 1.03/1.42 , clause( 361, [ =( join( meet( top, X ), zero ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4187, [ =( X, join( zero, meet( top, X ) ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 4186, [ =( X, join( meet( top, X ), zero ) ) ] )
% 1.03/1.42 , 0, 2, substitution( 0, [ :=( X, meet( top, X ) ), :=( Y, zero )] ),
% 1.03/1.42 substitution( 1, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4190, [ =( join( zero, meet( top, X ) ), X ) ] )
% 1.03/1.42 , clause( 4187, [ =( X, join( zero, meet( top, X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 375, [ =( join( zero, meet( top, X ) ), X ) ] )
% 1.03/1.42 , clause( 4190, [ =( join( zero, meet( top, X ) ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4192, [ =( X, join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ) ) ] )
% 1.03/1.42 , clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X ), Y
% 1.03/1.42 ) ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4194, [ =( complement( X ), join( meet( complement( X ), zero ),
% 1.03/1.42 complement( X ) ) ) ] )
% 1.03/1.42 , clause( 327, [ =( join( complement( complement( X ) ), zero ), X ) ] )
% 1.03/1.42 , 0, clause( 4192, [ =( X, join( meet( X, Y ), complement( join( complement(
% 1.03/1.42 X ), Y ) ) ) ) ] )
% 1.03/1.42 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 complement( X ) ), :=( Y, zero )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4195, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 366, [ =( meet( X, zero ), zero ) ] )
% 1.03/1.42 , 0, clause( 4194, [ =( complement( X ), join( meet( complement( X ), zero
% 1.03/1.42 ), complement( X ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 1.03/1.42 :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4196, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 , clause( 4195, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 383, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 , clause( 4196, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4198, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 383, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4201, [ =( complement( complement( X ) ), join( zero, meet( X, X )
% 1.03/1.42 ) ) ] )
% 1.03/1.42 , clause( 304, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 , 0, clause( 4198, [ =( complement( X ), join( zero, complement( X ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 complement( X ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4202, [ =( meet( X, X ), join( zero, meet( X, X ) ) ) ] )
% 1.03/1.42 , clause( 304, [ =( complement( complement( X ) ), meet( X, X ) ) ] )
% 1.03/1.42 , 0, clause( 4201, [ =( complement( complement( X ) ), join( zero, meet( X
% 1.03/1.42 , X ) ) ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4205, [ =( meet( X, X ), X ) ] )
% 1.03/1.42 , clause( 355, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4202, [ =( meet( X, X ), join( zero, meet( X, X ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 393, [ =( meet( X, X ), X ) ] )
% 1.03/1.42 , clause( 4205, [ =( meet( X, X ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4208, [ =( meet( top, X ), complement( join( zero, complement( X )
% 1.03/1.42 ) ) ) ] )
% 1.03/1.42 , clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.03/1.42 X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4215, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , clause( 383, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 , 0, clause( 4208, [ =( meet( top, X ), complement( join( zero, complement(
% 1.03/1.42 X ) ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 398, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , clause( 4215, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4218, [ =( complement( X ), join( zero, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 383, [ =( join( zero, complement( X ) ), complement( X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4223, [ =( complement( join( zero, complement( X ) ) ), join( zero
% 1.03/1.42 , meet( top, X ) ) ) ] )
% 1.03/1.42 , clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.03/1.42 X ) ) ] )
% 1.03/1.42 , 0, clause( 4218, [ =( complement( X ), join( zero, complement( X ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, join(
% 1.03/1.42 zero, complement( X ) ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4224, [ =( meet( top, X ), join( zero, meet( top, X ) ) ) ] )
% 1.03/1.42 , clause( 50, [ =( complement( join( zero, complement( X ) ) ), meet( top,
% 1.03/1.42 X ) ) ] )
% 1.03/1.42 , 0, clause( 4223, [ =( complement( join( zero, complement( X ) ) ), join(
% 1.03/1.42 zero, meet( top, X ) ) ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4226, [ =( meet( top, X ), X ) ] )
% 1.03/1.42 , clause( 375, [ =( join( zero, meet( top, X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4224, [ =( meet( top, X ), join( zero, meet( top, X ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4227, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , clause( 398, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , 0, clause( 4226, [ =( meet( top, X ), X ) ] )
% 1.03/1.42 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , clause( 4227, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4230, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 1.03/1.42 , clause( 355, [ =( join( zero, meet( X, X ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4231, [ =( X, join( zero, X ) ) ] )
% 1.03/1.42 , clause( 393, [ =( meet( X, X ), X ) ] )
% 1.03/1.42 , 0, clause( 4230, [ =( X, join( zero, meet( X, X ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4232, [ =( join( zero, X ), X ) ] )
% 1.03/1.42 , clause( 4231, [ =( X, join( zero, X ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 403, [ =( join( zero, X ), X ) ] )
% 1.03/1.42 , clause( 4232, [ =( join( zero, X ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4234, [ =( X, join( meet( X, X ), zero ) ) ] )
% 1.03/1.42 , clause( 350, [ =( join( meet( X, X ), zero ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4235, [ =( X, join( X, zero ) ) ] )
% 1.03/1.42 , clause( 393, [ =( meet( X, X ), X ) ] )
% 1.03/1.42 , 0, clause( 4234, [ =( X, join( meet( X, X ), zero ) ) ] )
% 1.03/1.42 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4236, [ =( join( X, zero ), X ) ] )
% 1.03/1.42 , clause( 4235, [ =( X, join( X, zero ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 404, [ =( join( X, zero ), X ) ] )
% 1.03/1.42 , clause( 4236, [ =( join( X, zero ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4238, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4241, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4238, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 complement( X ) ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4243, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.42 complement( X ), Y ) ) ] )
% 1.03/1.42 , clause( 4241, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 412, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.42 complement( X ), Y ) ) ] )
% 1.03/1.42 , clause( 4243, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.42 complement( X ), Y ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4246, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4250, [ =( meet( X, complement( Y ) ), complement( join( complement(
% 1.03/1.42 X ), Y ) ) ) ] )
% 1.03/1.42 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4246, [ =( meet( X, Y ), complement( join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ) ] )
% 1.03/1.42 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, complement( Y ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4252, [ =( complement( join( complement( X ), Y ) ), meet( X,
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 4250, [ =( meet( X, complement( Y ) ), complement( join(
% 1.03/1.42 complement( X ), Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 413, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.03/1.42 complement( X ) ) ) ] )
% 1.03/1.42 , clause( 4252, [ =( complement( join( complement( X ), Y ) ), meet( X,
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4254, [ =( X, complement( complement( X ) ) ) ] )
% 1.03/1.42 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4259, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 1.03/1.42 meet( X, Y ) ) ] )
% 1.03/1.42 , 0, clause( 4254, [ =( X, complement( complement( X ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.42 :=( X, join( complement( X ), complement( Y ) ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , clause( 4259, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4263, [ =( meet( top, X ), X ) ] )
% 1.03/1.42 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 398, [ =( meet( top, X ), complement( complement( X ) ) ) ] )
% 1.03/1.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.42 ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 424, [ =( meet( top, X ), X ) ] )
% 1.03/1.42 , clause( 4263, [ =( meet( top, X ), X ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4266, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4267, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4266, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.03/1.42 complement( X ) ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 629, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 4267, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4272, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4274, [ =( complement( meet( X, complement( Y ) ) ), join(
% 1.03/1.42 complement( X ), Y ) ) ] )
% 1.03/1.42 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.42 , 0, clause( 4272, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.42 :=( Y, complement( Y ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 630, [ =( complement( meet( Y, complement( X ) ) ), join(
% 1.03/1.42 complement( Y ), X ) ) ] )
% 1.03/1.42 , clause( 4274, [ =( complement( meet( X, complement( Y ) ) ), join(
% 1.03/1.42 complement( X ), Y ) ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4277, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4279, [ =( complement( meet( X, Y ) ), join( complement( Y ),
% 1.03/1.42 complement( X ) ) ) ] )
% 1.03/1.42 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.42 , 0, clause( 4277, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 1.03/1.42 complement( Y ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, complement( X ) ), :=( Y, complement( Y )
% 1.03/1.42 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4281, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.42 meet( X, Y ) ) ) ] )
% 1.03/1.42 , 0, clause( 4279, [ =( complement( meet( X, Y ) ), join( complement( Y ),
% 1.03/1.42 complement( X ) ) ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 637, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 4281, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4282, [ =( top, join( X, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4283, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 637, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , 0, clause( 4282, [ =( top, join( X, complement( X ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.42 :=( X, meet( X, Y ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4286, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 4283, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 682, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 4286, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top
% 1.03/1.42 ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4287, [ =( zero, meet( X, complement( X ) ) ) ] )
% 1.03/1.42 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4288, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 637, [ =( complement( meet( X, Y ) ), complement( meet( Y, X ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , 0, clause( 4287, [ =( zero, meet( X, complement( X ) ) ) ] )
% 1.03/1.42 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.42 :=( X, meet( X, Y ) )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4291, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 4288, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X ) ) )
% 1.03/1.42 ) ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 683, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero )
% 1.03/1.42 ] )
% 1.03/1.42 , clause( 4291, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero
% 1.03/1.42 ) ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4294, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 413, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.03/1.42 complement( X ) ) ) ] )
% 1.03/1.42 , 0, clause( 30, [ =( join( meet( X, Y ), complement( join( complement( X )
% 1.03/1.42 , Y ) ) ), X ) ] )
% 1.03/1.42 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.42 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 subsumption(
% 1.03/1.42 clause( 1022, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 4294, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X )
% 1.03/1.42 ] )
% 1.03/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.42 )] ) ).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 eqswap(
% 1.03/1.42 clause( 4296, [ =( X, join( meet( X, Y ), meet( X, complement( Y ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 1022, [ =( join( meet( X, Y ), meet( X, complement( Y ) ) ), X )
% 1.03/1.42 ] )
% 1.03/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 paramod(
% 1.03/1.42 clause( 4297, [ =( X, join( meet( Y, X ), meet( X, complement( Y ) ) ) ) ]
% 1.03/1.42 )
% 1.03/1.42 , clause( 47, [ =( meet( Y, X ), meet( X, Y ) ) ] )
% 1.03/1.42 , 0, clause( 4296, [ =( X, join( meet( X, Y ), meet( X, complement( Y ) ) )
% 1.03/1.42 ) ] )
% 1.03/1.43 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.43 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4301, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4297, [ =( X, join( meet( Y, X ), meet( X, complement( Y ) ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1040, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4301, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4305, [ =( Y, join( meet( X, Y ), meet( Y, complement( X ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 1040, [ =( join( meet( Y, X ), meet( X, complement( Y ) ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4306, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.43 , 0, clause( 4305, [ =( Y, join( meet( X, Y ), meet( Y, complement( X ) ) )
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, meet( Y, X ) ), :=( Y, meet( X,
% 1.03/1.43 complement( Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4309, [ =( join( meet( X, complement( Y ) ), meet( Y, X ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4306, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1066, [ =( join( meet( Y, complement( X ) ), meet( X, Y ) ), Y ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4309, [ =( join( meet( X, complement( Y ) ), meet( Y, X ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4311, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.03/1.43 complement( Y ) ) ) ) ] )
% 1.03/1.43 , clause( 412, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.43 complement( X ), Y ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4315, [ =( meet( complement( X ), complement( Y ) ), complement(
% 1.03/1.43 join( X, Y ) ) ) ] )
% 1.03/1.43 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.43 , 0, clause( 4311, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.03/1.43 complement( Y ) ) ) ) ] )
% 1.03/1.43 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.43 :=( Y, complement( Y ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1213, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.03/1.43 join( Y, X ) ) ) ] )
% 1.03/1.43 , clause( 4315, [ =( meet( complement( X ), complement( Y ) ), complement(
% 1.03/1.43 join( X, Y ) ) ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4318, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.03/1.43 complement( Y ) ) ) ) ] )
% 1.03/1.43 , clause( 412, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.43 complement( X ), Y ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4319, [ =( meet( complement( join( X, Y ) ), Z ), complement( join(
% 1.03/1.43 join( X, complement( Z ) ), Y ) ) ) ] )
% 1.03/1.43 , clause( 20, [ =( join( join( Z, Y ), X ), join( join( Z, X ), Y ) ) ] )
% 1.03/1.43 , 0, clause( 4318, [ =( meet( complement( X ), Y ), complement( join( X,
% 1.03/1.43 complement( Y ) ) ) ) ] )
% 1.03/1.43 , 0, 8, substitution( 0, [ :=( X, complement( Z ) ), :=( Y, Y ), :=( Z, X )] )
% 1.03/1.43 , substitution( 1, [ :=( X, join( X, Y ) ), :=( Y, Z )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4322, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.03/1.43 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.03/1.43 , clause( 4319, [ =( meet( complement( join( X, Y ) ), Z ), complement(
% 1.03/1.43 join( join( X, complement( Z ) ), Y ) ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1216, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.03/1.43 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.03/1.43 , clause( 4322, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.03/1.43 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.03/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4324, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 683, [ =( meet( meet( X, Y ), complement( meet( Y, X ) ) ), zero
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4329, [ =( zero, meet( meet( complement( X ), complement( Y ) ),
% 1.03/1.43 complement( complement( join( Y, X ) ) ) ) ) ] )
% 1.03/1.43 , clause( 1213, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.03/1.43 join( Y, X ) ) ) ] )
% 1.03/1.43 , 0, clause( 4324, [ =( zero, meet( meet( X, Y ), complement( meet( Y, X )
% 1.03/1.43 ) ) ) ] )
% 1.03/1.43 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.43 :=( X, complement( X ) ), :=( Y, complement( Y ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4333, [ =( zero, meet( complement( join( X, Y ) ), complement(
% 1.03/1.43 complement( join( Y, X ) ) ) ) ) ] )
% 1.03/1.43 , clause( 1213, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.03/1.43 join( Y, X ) ) ) ] )
% 1.03/1.43 , 0, clause( 4329, [ =( zero, meet( meet( complement( X ), complement( Y )
% 1.03/1.43 ), complement( complement( join( Y, X ) ) ) ) ) ] )
% 1.03/1.43 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.43 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4335, [ =( zero, complement( join( join( X, Y ), complement( join(
% 1.03/1.43 Y, X ) ) ) ) ) ] )
% 1.03/1.43 , clause( 1213, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.03/1.43 join( Y, X ) ) ) ] )
% 1.03/1.43 , 0, clause( 4333, [ =( zero, meet( complement( join( X, Y ) ), complement(
% 1.03/1.43 complement( join( Y, X ) ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, complement( join( Y, X ) ) ), :=( Y, join(
% 1.03/1.43 X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4336, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 412, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.43 complement( X ), Y ) ) ] )
% 1.03/1.43 , 0, clause( 4335, [ =( zero, complement( join( join( X, Y ), complement(
% 1.03/1.43 join( Y, X ) ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, join( X, Y ) ), :=( Y, join( Y, X ) )] )
% 1.03/1.43 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4337, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 4336, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X ) )
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1232, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 4337, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero
% 1.03/1.43 ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4340, [ =( composition( converse( X ), complement( composition( X,
% 1.03/1.43 top ) ) ), zero ) ] )
% 1.03/1.43 , clause( 404, [ =( join( X, zero ), X ) ] )
% 1.03/1.43 , 0, clause( 99, [ =( join( composition( converse( X ), complement(
% 1.03/1.43 composition( X, top ) ) ), zero ), zero ) ] )
% 1.03/1.43 , 0, 1, substitution( 0, [ :=( X, composition( converse( X ), complement(
% 1.03/1.43 composition( X, top ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1455, [ =( composition( converse( X ), complement( composition( X,
% 1.03/1.43 top ) ) ), zero ) ] )
% 1.03/1.43 , clause( 4340, [ =( composition( converse( X ), complement( composition( X
% 1.03/1.43 , top ) ) ), zero ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4343, [ =( zero, composition( converse( X ), complement(
% 1.03/1.43 composition( X, top ) ) ) ) ] )
% 1.03/1.43 , clause( 1455, [ =( composition( converse( X ), complement( composition( X
% 1.03/1.43 , top ) ) ), zero ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4344, [ =( zero, composition( top, complement( composition( top,
% 1.03/1.43 top ) ) ) ) ] )
% 1.03/1.43 , clause( 221, [ =( converse( top ), top ) ] )
% 1.03/1.43 , 0, clause( 4343, [ =( zero, composition( converse( X ), complement(
% 1.03/1.43 composition( X, top ) ) ) ) ] )
% 1.03/1.43 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, top )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4345, [ =( composition( top, complement( composition( top, top ) )
% 1.03/1.43 ), zero ) ] )
% 1.03/1.43 , clause( 4344, [ =( zero, composition( top, complement( composition( top,
% 1.03/1.43 top ) ) ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1467, [ =( composition( top, complement( composition( top, top ) )
% 1.03/1.43 ), zero ) ] )
% 1.03/1.43 , clause( 4345, [ =( composition( top, complement( composition( top, top )
% 1.03/1.43 ) ), zero ) ] )
% 1.03/1.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4347, [ =( composition( join( X, Z ), Y ), join( composition( X, Y
% 1.03/1.43 ), composition( Z, Y ) ) ) ] )
% 1.03/1.43 , clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.03/1.43 composition( join( X, Y ), Z ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4352, [ =( composition( join( X, top ), complement( composition(
% 1.03/1.43 top, top ) ) ), join( composition( X, complement( composition( top, top )
% 1.03/1.43 ) ), zero ) ) ] )
% 1.03/1.43 , clause( 1467, [ =( composition( top, complement( composition( top, top )
% 1.03/1.43 ) ), zero ) ] )
% 1.03/1.43 , 0, clause( 4347, [ =( composition( join( X, Z ), Y ), join( composition(
% 1.03/1.43 X, Y ), composition( Z, Y ) ) ) ] )
% 1.03/1.43 , 0, 16, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 1.03/1.43 complement( composition( top, top ) ) ), :=( Z, top )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4353, [ =( composition( join( X, top ), complement( composition(
% 1.03/1.43 top, top ) ) ), composition( X, complement( composition( top, top ) ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 404, [ =( join( X, zero ), X ) ] )
% 1.03/1.43 , 0, clause( 4352, [ =( composition( join( X, top ), complement(
% 1.03/1.43 composition( top, top ) ) ), join( composition( X, complement(
% 1.03/1.43 composition( top, top ) ) ), zero ) ) ] )
% 1.03/1.43 , 0, 9, substitution( 0, [ :=( X, composition( X, complement( composition(
% 1.03/1.43 top, top ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4354, [ =( composition( top, complement( composition( top, top ) )
% 1.03/1.43 ), composition( X, complement( composition( top, top ) ) ) ) ] )
% 1.03/1.43 , clause( 165, [ =( join( X, top ), top ) ] )
% 1.03/1.43 , 0, clause( 4353, [ =( composition( join( X, top ), complement(
% 1.03/1.43 composition( top, top ) ) ), composition( X, complement( composition( top
% 1.03/1.43 , top ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.03/1.43 ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4355, [ =( zero, composition( X, complement( composition( top, top
% 1.03/1.43 ) ) ) ) ] )
% 1.03/1.43 , clause( 1467, [ =( composition( top, complement( composition( top, top )
% 1.03/1.43 ) ), zero ) ] )
% 1.03/1.43 , 0, clause( 4354, [ =( composition( top, complement( composition( top, top
% 1.03/1.43 ) ) ), composition( X, complement( composition( top, top ) ) ) ) ] )
% 1.03/1.43 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4356, [ =( composition( X, complement( composition( top, top ) ) )
% 1.03/1.43 , zero ) ] )
% 1.03/1.43 , clause( 4355, [ =( zero, composition( X, complement( composition( top,
% 1.03/1.43 top ) ) ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1472, [ =( composition( X, complement( composition( top, top ) ) )
% 1.03/1.43 , zero ) ] )
% 1.03/1.43 , clause( 4356, [ =( composition( X, complement( composition( top, top ) )
% 1.03/1.43 ), zero ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4358, [ =( composition( composition( X, Y ), Z ), composition( X,
% 1.03/1.43 composition( Y, Z ) ) ) ] )
% 1.03/1.43 , clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.03/1.43 composition( X, Y ), Z ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4361, [ =( composition( composition( X, top ), complement(
% 1.03/1.43 composition( top, top ) ) ), composition( X, zero ) ) ] )
% 1.03/1.43 , clause( 1467, [ =( composition( top, complement( composition( top, top )
% 1.03/1.43 ) ), zero ) ] )
% 1.03/1.43 , 0, clause( 4358, [ =( composition( composition( X, Y ), Z ), composition(
% 1.03/1.43 X, composition( Y, Z ) ) ) ] )
% 1.03/1.43 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, top )
% 1.03/1.43 , :=( Z, complement( composition( top, top ) ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4362, [ =( zero, composition( X, zero ) ) ] )
% 1.03/1.43 , clause( 1472, [ =( composition( X, complement( composition( top, top ) )
% 1.03/1.43 ), zero ) ] )
% 1.03/1.43 , 0, clause( 4361, [ =( composition( composition( X, top ), complement(
% 1.03/1.43 composition( top, top ) ) ), composition( X, zero ) ) ] )
% 1.03/1.43 , 0, 1, substitution( 0, [ :=( X, composition( X, top ) )] ),
% 1.03/1.43 substitution( 1, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4363, [ =( composition( X, zero ), zero ) ] )
% 1.03/1.43 , clause( 4362, [ =( zero, composition( X, zero ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 1473, [ =( composition( X, zero ), zero ) ] )
% 1.03/1.43 , clause( 4363, [ =( composition( X, zero ), zero ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4365, [ =( composition( meet( converse( X ), composition( Z,
% 1.03/1.43 converse( Y ) ) ), meet( Y, composition( X, Z ) ) ), join( meet(
% 1.03/1.43 composition( converse( X ), Y ), Z ), composition( meet( converse( X ),
% 1.03/1.43 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 123, [ =( join( meet( composition( converse( X ), Y ), Z ),
% 1.03/1.43 composition( meet( converse( X ), composition( Z, converse( Y ) ) ), meet(
% 1.03/1.43 Y, composition( X, Z ) ) ) ), composition( meet( converse( X ),
% 1.03/1.43 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4369, [ =( composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), meet( sk1, composition( sk1,
% 1.03/1.43 complement( one ) ) ) ), join( meet( composition( converse( sk1 ), sk1 )
% 1.03/1.43 , complement( one ) ), composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), zero ) ) ) ] )
% 1.03/1.43 , clause( 187, [ =( meet( sk1, composition( sk1, complement( one ) ) ),
% 1.03/1.43 zero ) ] )
% 1.03/1.43 , 0, clause( 4365, [ =( composition( meet( converse( X ), composition( Z,
% 1.03/1.43 converse( Y ) ) ), meet( Y, composition( X, Z ) ) ), join( meet(
% 1.03/1.43 composition( converse( X ), Y ), Z ), composition( meet( converse( X ),
% 1.03/1.43 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , 0, 33, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, sk1
% 1.03/1.43 ), :=( Z, complement( one ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4370, [ =( composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), zero ), join( meet( composition(
% 1.03/1.43 converse( sk1 ), sk1 ), complement( one ) ), composition( meet( converse(
% 1.03/1.43 sk1 ), composition( complement( one ), converse( sk1 ) ) ), zero ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 187, [ =( meet( sk1, composition( sk1, complement( one ) ) ),
% 1.03/1.43 zero ) ] )
% 1.03/1.43 , 0, clause( 4369, [ =( composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), meet( sk1, composition( sk1,
% 1.03/1.43 complement( one ) ) ) ), join( meet( composition( converse( sk1 ), sk1 )
% 1.03/1.43 , complement( one ) ), composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), zero ) ) ) ] )
% 1.03/1.43 , 0, 10, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4375, [ =( composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), zero ), join( meet( composition(
% 1.03/1.43 converse( sk1 ), sk1 ), complement( one ) ), zero ) ) ] )
% 1.03/1.43 , clause( 1473, [ =( composition( X, zero ), zero ) ] )
% 1.03/1.43 , 0, clause( 4370, [ =( composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), zero ), join( meet( composition(
% 1.03/1.43 converse( sk1 ), sk1 ), complement( one ) ), composition( meet( converse(
% 1.03/1.43 sk1 ), composition( complement( one ), converse( sk1 ) ) ), zero ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , 0, 19, substitution( 0, [ :=( X, meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ) )] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4376, [ =( zero, join( meet( composition( converse( sk1 ), sk1 ),
% 1.03/1.43 complement( one ) ), zero ) ) ] )
% 1.03/1.43 , clause( 1473, [ =( composition( X, zero ), zero ) ] )
% 1.03/1.43 , 0, clause( 4375, [ =( composition( meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ), zero ), join( meet( composition(
% 1.03/1.43 converse( sk1 ), sk1 ), complement( one ) ), zero ) ) ] )
% 1.03/1.43 , 0, 1, substitution( 0, [ :=( X, meet( converse( sk1 ), composition(
% 1.03/1.43 complement( one ), converse( sk1 ) ) ) )] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4379, [ =( zero, meet( composition( converse( sk1 ), sk1 ),
% 1.03/1.43 complement( one ) ) ) ] )
% 1.03/1.43 , clause( 404, [ =( join( X, zero ), X ) ] )
% 1.03/1.43 , 0, clause( 4376, [ =( zero, join( meet( composition( converse( sk1 ), sk1
% 1.03/1.43 ), complement( one ) ), zero ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, meet( composition( converse( sk1 ), sk1 )
% 1.03/1.43 , complement( one ) ) )] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4380, [ =( meet( composition( converse( sk1 ), sk1 ), complement(
% 1.03/1.43 one ) ), zero ) ] )
% 1.03/1.43 , clause( 4379, [ =( zero, meet( composition( converse( sk1 ), sk1 ),
% 1.03/1.43 complement( one ) ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 2258, [ =( meet( composition( converse( sk1 ), sk1 ), complement(
% 1.03/1.43 one ) ), zero ) ] )
% 1.03/1.43 , clause( 4380, [ =( meet( composition( converse( sk1 ), sk1 ), complement(
% 1.03/1.43 one ) ), zero ) ] )
% 1.03/1.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4382, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 682, [ =( join( meet( X, Y ), complement( meet( Y, X ) ) ), top )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4385, [ =( top, join( zero, complement( meet( complement( one ),
% 1.03/1.43 composition( converse( sk1 ), sk1 ) ) ) ) ) ] )
% 1.03/1.43 , clause( 2258, [ =( meet( composition( converse( sk1 ), sk1 ), complement(
% 1.03/1.43 one ) ), zero ) ] )
% 1.03/1.43 , 0, clause( 4382, [ =( top, join( meet( X, Y ), complement( meet( Y, X ) )
% 1.03/1.43 ) ) ] )
% 1.03/1.43 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, composition(
% 1.03/1.43 converse( sk1 ), sk1 ) ), :=( Y, complement( one ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4387, [ =( top, complement( meet( complement( one ), composition(
% 1.03/1.43 converse( sk1 ), sk1 ) ) ) ) ] )
% 1.03/1.43 , clause( 403, [ =( join( zero, X ), X ) ] )
% 1.03/1.43 , 0, clause( 4385, [ =( top, join( zero, complement( meet( complement( one
% 1.03/1.43 ), composition( converse( sk1 ), sk1 ) ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, complement( meet( complement( one ),
% 1.03/1.43 composition( converse( sk1 ), sk1 ) ) ) )] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4388, [ =( top, join( one, complement( composition( converse( sk1 )
% 1.03/1.43 , sk1 ) ) ) ) ] )
% 1.03/1.43 , clause( 629, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.43 complement( Y ) ) ) ] )
% 1.03/1.43 , 0, clause( 4387, [ =( top, complement( meet( complement( one ),
% 1.03/1.43 composition( converse( sk1 ), sk1 ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, one ), :=( Y, composition( converse( sk1
% 1.03/1.43 ), sk1 ) )] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4389, [ =( join( one, complement( composition( converse( sk1 ), sk1
% 1.03/1.43 ) ) ), top ) ] )
% 1.03/1.43 , clause( 4388, [ =( top, join( one, complement( composition( converse( sk1
% 1.03/1.43 ), sk1 ) ) ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 2266, [ =( join( one, complement( composition( converse( sk1 ), sk1
% 1.03/1.43 ) ) ), top ) ] )
% 1.03/1.43 , clause( 4389, [ =( join( one, complement( composition( converse( sk1 ),
% 1.03/1.43 sk1 ) ) ), top ) ] )
% 1.03/1.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4391, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 1232, [ =( meet( complement( join( X, Y ) ), join( Y, X ) ), zero
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4397, [ =( zero, meet( complement( join( complement( X ),
% 1.03/1.43 complement( Y ) ) ), complement( meet( Y, X ) ) ) ) ] )
% 1.03/1.43 , clause( 414, [ =( join( complement( X ), complement( Y ) ), complement(
% 1.03/1.43 meet( X, Y ) ) ) ] )
% 1.03/1.43 , 0, clause( 4391, [ =( zero, meet( complement( join( X, Y ) ), join( Y, X
% 1.03/1.43 ) ) ) ] )
% 1.03/1.43 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.03/1.43 :=( X, complement( X ) ), :=( Y, complement( Y ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4399, [ =( zero, complement( join( join( complement( X ),
% 1.03/1.43 complement( Y ) ), meet( Y, X ) ) ) ) ] )
% 1.03/1.43 , clause( 1213, [ =( meet( complement( Y ), complement( X ) ), complement(
% 1.03/1.43 join( Y, X ) ) ) ] )
% 1.03/1.43 , 0, clause( 4397, [ =( zero, meet( complement( join( complement( X ),
% 1.03/1.43 complement( Y ) ) ), complement( meet( Y, X ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, meet( Y, X ) ), :=( Y, join( complement(
% 1.03/1.43 X ), complement( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.03/1.43 ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4400, [ =( zero, meet( complement( join( complement( X ), meet( Y,
% 1.03/1.43 X ) ) ), Y ) ) ] )
% 1.03/1.43 , clause( 1216, [ =( complement( join( join( X, complement( Z ) ), Y ) ),
% 1.03/1.43 meet( complement( join( X, Y ) ), Z ) ) ] )
% 1.03/1.43 , 0, clause( 4399, [ =( zero, complement( join( join( complement( X ),
% 1.03/1.43 complement( Y ) ), meet( Y, X ) ) ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, complement( X ) ), :=( Y, meet( Y, X ) )
% 1.03/1.43 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4401, [ =( zero, meet( meet( X, complement( meet( Y, X ) ) ), Y ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 413, [ =( complement( join( complement( Y ), X ) ), meet( Y,
% 1.03/1.43 complement( X ) ) ) ] )
% 1.03/1.43 , 0, clause( 4400, [ =( zero, meet( complement( join( complement( X ), meet(
% 1.03/1.43 Y, X ) ) ), Y ) ) ] )
% 1.03/1.43 , 0, 3, substitution( 0, [ :=( X, meet( Y, X ) ), :=( Y, X )] ),
% 1.03/1.43 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4402, [ =( meet( meet( X, complement( meet( Y, X ) ) ), Y ), zero )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 4401, [ =( zero, meet( meet( X, complement( meet( Y, X ) ) ), Y )
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 3095, [ =( meet( meet( Y, complement( meet( X, Y ) ) ), X ), zero )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 4402, [ =( meet( meet( X, complement( meet( Y, X ) ) ), Y ), zero
% 1.03/1.43 ) ] )
% 1.03/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4404, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 1066, [ =( join( meet( Y, complement( X ) ), meet( X, Y ) ), Y )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4408, [ =( X, join( meet( X, complement( meet( Y, complement( meet(
% 1.03/1.43 X, Y ) ) ) ) ), zero ) ) ] )
% 1.03/1.43 , clause( 3095, [ =( meet( meet( Y, complement( meet( X, Y ) ) ), X ), zero
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, clause( 4404, [ =( X, join( meet( X, complement( Y ) ), meet( Y, X ) )
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.43 :=( X, X ), :=( Y, meet( Y, complement( meet( X, Y ) ) ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4409, [ =( X, meet( X, complement( meet( Y, complement( meet( X, Y
% 1.03/1.43 ) ) ) ) ) ) ] )
% 1.03/1.43 , clause( 404, [ =( join( X, zero ), X ) ] )
% 1.03/1.43 , 0, clause( 4408, [ =( X, join( meet( X, complement( meet( Y, complement(
% 1.03/1.43 meet( X, Y ) ) ) ) ), zero ) ) ] )
% 1.03/1.43 , 0, 2, substitution( 0, [ :=( X, meet( X, complement( meet( Y, complement(
% 1.03/1.43 meet( X, Y ) ) ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 1.03/1.43 ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4410, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 630, [ =( complement( meet( Y, complement( X ) ) ), join(
% 1.03/1.43 complement( Y ), X ) ) ] )
% 1.03/1.43 , 0, clause( 4409, [ =( X, meet( X, complement( meet( Y, complement( meet(
% 1.03/1.43 X, Y ) ) ) ) ) ) ] )
% 1.03/1.43 , 0, 4, substitution( 0, [ :=( X, meet( X, Y ) ), :=( Y, Y )] ),
% 1.03/1.43 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4411, [ =( meet( X, join( complement( Y ), meet( X, Y ) ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4410, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 3600, [ =( meet( Y, join( complement( X ), meet( Y, X ) ) ), Y ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4411, [ =( meet( X, join( complement( Y ), meet( X, Y ) ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4412, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 3600, [ =( meet( Y, join( complement( X ), meet( Y, X ) ) ), Y )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4413, [ =( X, meet( X, join( meet( X, Y ), complement( Y ) ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 1.03/1.43 , 0, clause( 4412, [ =( X, meet( X, join( complement( Y ), meet( X, Y ) ) )
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, 4, substitution( 0, [ :=( X, complement( Y ) ), :=( Y, meet( X, Y ) )] )
% 1.03/1.43 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4416, [ =( meet( X, join( meet( X, Y ), complement( Y ) ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4413, [ =( X, meet( X, join( meet( X, Y ), complement( Y ) ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 3632, [ =( meet( Y, join( meet( Y, X ), complement( X ) ) ), Y ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4416, [ =( meet( X, join( meet( X, Y ), complement( Y ) ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4418, [ =( join( X, complement( Y ) ), complement( meet( complement(
% 1.03/1.43 X ), Y ) ) ) ] )
% 1.03/1.43 , clause( 629, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.43 complement( Y ) ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4423, [ =( join( X, complement( join( meet( complement( X ), Y ),
% 1.03/1.43 complement( Y ) ) ) ), complement( complement( X ) ) ) ] )
% 1.03/1.43 , clause( 3632, [ =( meet( Y, join( meet( Y, X ), complement( X ) ) ), Y )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, clause( 4418, [ =( join( X, complement( Y ) ), complement( meet(
% 1.03/1.43 complement( X ), Y ) ) ) ] )
% 1.03/1.43 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, complement( X ) )] ),
% 1.03/1.43 substitution( 1, [ :=( X, X ), :=( Y, join( meet( complement( X ), Y ),
% 1.03/1.43 complement( Y ) ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4424, [ =( join( X, complement( join( meet( complement( X ), Y ),
% 1.03/1.43 complement( Y ) ) ) ), X ) ] )
% 1.03/1.43 , clause( 399, [ =( complement( complement( X ) ), X ) ] )
% 1.03/1.43 , 0, clause( 4423, [ =( join( X, complement( join( meet( complement( X ), Y
% 1.03/1.43 ), complement( Y ) ) ) ), complement( complement( X ) ) ) ] )
% 1.03/1.43 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.03/1.43 :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4425, [ =( join( X, meet( complement( meet( complement( X ), Y ) )
% 1.03/1.43 , Y ) ), X ) ] )
% 1.03/1.43 , clause( 412, [ =( complement( join( X, complement( Y ) ) ), meet(
% 1.03/1.43 complement( X ), Y ) ) ] )
% 1.03/1.43 , 0, clause( 4424, [ =( join( X, complement( join( meet( complement( X ), Y
% 1.03/1.43 ), complement( Y ) ) ) ), X ) ] )
% 1.03/1.43 , 0, 3, substitution( 0, [ :=( X, meet( complement( X ), Y ) ), :=( Y, Y )] )
% 1.03/1.43 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4426, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 629, [ =( complement( meet( complement( X ), Y ) ), join( X,
% 1.03/1.43 complement( Y ) ) ) ] )
% 1.03/1.43 , 0, clause( 4425, [ =( join( X, meet( complement( meet( complement( X ), Y
% 1.03/1.43 ) ), Y ) ), X ) ] )
% 1.03/1.43 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.03/1.43 :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 3730, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 4426, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.03/1.43 )] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4429, [ =( X, join( X, meet( join( X, complement( Y ) ), Y ) ) ) ]
% 1.03/1.43 )
% 1.03/1.43 , clause( 3730, [ =( join( X, meet( join( X, complement( Y ) ), Y ) ), X )
% 1.03/1.43 ] )
% 1.03/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 eqswap(
% 1.03/1.43 clause( 4431, [ ~( =( one, join( one, composition( converse( sk1 ), sk1 ) )
% 1.03/1.43 ) ) ] )
% 1.03/1.43 , clause( 24, [ ~( =( join( one, composition( converse( sk1 ), sk1 ) ), one
% 1.03/1.43 ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4432, [ =( one, join( one, meet( top, composition( converse( sk1 )
% 1.03/1.43 , sk1 ) ) ) ) ] )
% 1.03/1.43 , clause( 2266, [ =( join( one, complement( composition( converse( sk1 ),
% 1.03/1.43 sk1 ) ) ), top ) ] )
% 1.03/1.43 , 0, clause( 4429, [ =( X, join( X, meet( join( X, complement( Y ) ), Y ) )
% 1.03/1.43 ) ] )
% 1.03/1.43 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, one ), :=( Y,
% 1.03/1.43 composition( converse( sk1 ), sk1 ) )] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 paramod(
% 1.03/1.43 clause( 4433, [ =( one, join( one, composition( converse( sk1 ), sk1 ) ) )
% 1.03/1.43 ] )
% 1.03/1.43 , clause( 424, [ =( meet( top, X ), X ) ] )
% 1.03/1.43 , 0, clause( 4432, [ =( one, join( one, meet( top, composition( converse(
% 1.03/1.43 sk1 ), sk1 ) ) ) ) ] )
% 1.03/1.43 , 0, 4, substitution( 0, [ :=( X, composition( converse( sk1 ), sk1 ) )] )
% 1.03/1.43 , substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 resolution(
% 1.03/1.43 clause( 4434, [] )
% 1.03/1.43 , clause( 4431, [ ~( =( one, join( one, composition( converse( sk1 ), sk1 )
% 1.03/1.43 ) ) ) ] )
% 1.03/1.43 , 0, clause( 4433, [ =( one, join( one, composition( converse( sk1 ), sk1 )
% 1.03/1.43 ) ) ] )
% 1.03/1.43 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 subsumption(
% 1.03/1.43 clause( 3762, [] )
% 1.03/1.43 , clause( 4434, [] )
% 1.03/1.43 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 end.
% 1.03/1.43
% 1.03/1.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.03/1.43
% 1.03/1.43 Memory use:
% 1.03/1.43
% 1.03/1.43 space for terms: 47293
% 1.03/1.43 space for clauses: 416450
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 clauses generated: 63664
% 1.03/1.43 clauses kept: 3763
% 1.03/1.43 clauses selected: 465
% 1.03/1.43 clauses deleted: 273
% 1.03/1.43 clauses inuse deleted: 93
% 1.03/1.43
% 1.03/1.43 subsentry: 3724
% 1.03/1.43 literals s-matched: 1818
% 1.03/1.43 literals matched: 1694
% 1.03/1.43 full subsumption: 0
% 1.03/1.43
% 1.03/1.43 checksum: -1260016893
% 1.03/1.43
% 1.03/1.43
% 1.03/1.43 Bliksem ended
%------------------------------------------------------------------------------