TSTP Solution File: REL004+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL004+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 18:59:47 EDT 2022
% Result : Theorem 0.74s 1.31s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL004+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 8 11:56:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.31 *** allocated 10000 integers for termspace/termends
% 0.74/1.31 *** allocated 10000 integers for clauses
% 0.74/1.31 *** allocated 10000 integers for justifications
% 0.74/1.31 Bliksem 1.12
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Automatic Strategy Selection
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Clauses:
% 0.74/1.31
% 0.74/1.31 { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.74/1.31 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.74/1.31 , Z ) }.
% 0.74/1.31 { composition( X, one ) = X }.
% 0.74/1.31 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.74/1.31 Y, Z ) ) }.
% 0.74/1.31 { converse( converse( X ) ) = X }.
% 0.74/1.31 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.74/1.31 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.74/1.31 ) ) }.
% 0.74/1.31 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.74/1.31 complement( Y ) ) = complement( Y ) }.
% 0.74/1.31 { top = join( X, complement( X ) ) }.
% 0.74/1.31 { zero = meet( X, complement( X ) ) }.
% 0.74/1.31 { ! converse( complement( skol1 ) ) = complement( converse( skol1 ) ) }.
% 0.74/1.31
% 0.74/1.31 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.31 This is a pure equality problem
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Options Used:
% 0.74/1.31
% 0.74/1.31 useres = 1
% 0.74/1.31 useparamod = 1
% 0.74/1.31 useeqrefl = 1
% 0.74/1.31 useeqfact = 1
% 0.74/1.31 usefactor = 1
% 0.74/1.31 usesimpsplitting = 0
% 0.74/1.31 usesimpdemod = 5
% 0.74/1.31 usesimpres = 3
% 0.74/1.31
% 0.74/1.31 resimpinuse = 1000
% 0.74/1.31 resimpclauses = 20000
% 0.74/1.31 substype = eqrewr
% 0.74/1.31 backwardsubs = 1
% 0.74/1.31 selectoldest = 5
% 0.74/1.31
% 0.74/1.31 litorderings [0] = split
% 0.74/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.31
% 0.74/1.31 termordering = kbo
% 0.74/1.31
% 0.74/1.31 litapriori = 0
% 0.74/1.31 termapriori = 1
% 0.74/1.31 litaposteriori = 0
% 0.74/1.31 termaposteriori = 0
% 0.74/1.31 demodaposteriori = 0
% 0.74/1.31 ordereqreflfact = 0
% 0.74/1.31
% 0.74/1.31 litselect = negord
% 0.74/1.31
% 0.74/1.31 maxweight = 15
% 0.74/1.31 maxdepth = 30000
% 0.74/1.31 maxlength = 115
% 0.74/1.31 maxnrvars = 195
% 0.74/1.31 excuselevel = 1
% 0.74/1.31 increasemaxweight = 1
% 0.74/1.31
% 0.74/1.31 maxselected = 10000000
% 0.74/1.31 maxnrclauses = 10000000
% 0.74/1.31
% 0.74/1.31 showgenerated = 0
% 0.74/1.31 showkept = 0
% 0.74/1.31 showselected = 0
% 0.74/1.31 showdeleted = 0
% 0.74/1.31 showresimp = 1
% 0.74/1.31 showstatus = 2000
% 0.74/1.31
% 0.74/1.31 prologoutput = 0
% 0.74/1.31 nrgoals = 5000000
% 0.74/1.31 totalproof = 1
% 0.74/1.31
% 0.74/1.31 Symbols occurring in the translation:
% 0.74/1.31
% 0.74/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.31 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.31 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.74/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.31 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.31 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.74/1.31 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.31 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.31 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.74/1.31 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.74/1.31 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.74/1.31 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.31 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Starting Search:
% 0.74/1.31
% 0.74/1.31 *** allocated 15000 integers for clauses
% 0.74/1.31 *** allocated 22500 integers for clauses
% 0.74/1.31 *** allocated 33750 integers for clauses
% 0.74/1.31 *** allocated 50625 integers for clauses
% 0.74/1.31 *** allocated 75937 integers for clauses
% 0.74/1.31 *** allocated 113905 integers for clauses
% 0.74/1.31 *** allocated 15000 integers for termspace/termends
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31 Done
% 0.74/1.31
% 0.74/1.31 *** allocated 170857 integers for clauses
% 0.74/1.31 *** allocated 22500 integers for termspace/termends
% 0.74/1.31 *** allocated 256285 integers for clauses
% 0.74/1.31 *** allocated 33750 integers for termspace/termends
% 0.74/1.31
% 0.74/1.31 Intermediate Status:
% 0.74/1.31 Generated: 26387
% 0.74/1.31 Kept: 2004
% 0.74/1.31 Inuse: 296
% 0.74/1.31 Deleted: 200
% 0.74/1.31 Deletedinuse: 91
% 0.74/1.31
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31 Done
% 0.74/1.31
% 0.74/1.31 *** allocated 384427 integers for clauses
% 0.74/1.31 *** allocated 50625 integers for termspace/termends
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31 Done
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Bliksems!, er is een bewijs:
% 0.74/1.31 % SZS status Theorem
% 0.74/1.31 % SZS output start Refutation
% 0.74/1.31
% 0.74/1.31 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.74/1.31 , Z ) }.
% 0.74/1.31 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.74/1.31 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.74/1.31 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.74/1.31 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.74/1.31 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.74/1.31 converse( join( X, Y ) ) }.
% 0.74/1.31 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.74/1.31 ==> converse( composition( X, Y ) ) }.
% 0.74/1.31 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.74/1.31 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.74/1.31 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.74/1.31 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.74/1.31 (13) {G0,W7,D4,L1,V0,M1} I { ! converse( complement( skol1 ) ) ==>
% 0.74/1.31 complement( converse( skol1 ) ) }.
% 0.74/1.31 (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.74/1.31 (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.74/1.31 join( Z, X ), Y ) }.
% 0.74/1.31 (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.74/1.31 ==> join( Y, top ) }.
% 0.74/1.31 (19) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement( X ) ), X )
% 0.74/1.31 ==> join( Y, top ) }.
% 0.74/1.31 (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z ),
% 0.74/1.31 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.74/1.31 (23) {G2,W10,D4,L1,V2,M1} P(0,17) { join( join( Y, X ), complement( Y ) )
% 0.74/1.31 ==> join( X, top ) }.
% 0.74/1.31 (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.74/1.31 ( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.74/1.31 ) ) ==> composition( converse( Y ), X ) }.
% 0.74/1.31 (39) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.74/1.31 join( X, converse( Y ) ) }.
% 0.74/1.31 (40) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse( X ) ) ) ==>
% 0.74/1.31 join( converse( Y ), X ) }.
% 0.74/1.31 (47) {G2,W7,D4,L1,V1,M1} P(14,3) { meet( complement( X ), X ) ==>
% 0.74/1.31 complement( top ) }.
% 0.74/1.31 (48) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.74/1.31 (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.74/1.31 (51) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( zero, complement( X )
% 0.74/1.31 ) ) ==> meet( top, X ) }.
% 0.74/1.31 (52) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( complement( X ), zero
% 0.74/1.31 ) ) ==> meet( X, top ) }.
% 0.74/1.31 (57) {G2,W5,D3,L1,V0,M1} P(50,14) { join( zero, top ) ==> top }.
% 0.74/1.31 (63) {G3,W6,D4,L1,V1,M1} S(47);d(50) { meet( complement( X ), X ) ==> zero
% 0.74/1.31 }.
% 0.74/1.31 (192) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse( complement(
% 0.74/1.31 converse( X ) ) ) ) ==> converse( top ) }.
% 0.74/1.31 (280) {G3,W9,D4,L1,V2,M1} P(26,19);d(1);d(11) { join( meet( X, Y ), top )
% 0.74/1.31 ==> join( top, Y ) }.
% 0.74/1.31 (298) {G2,W7,D4,L1,V1,M1} P(14,26);d(50) { join( meet( X, X ), zero ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 (303) {G2,W7,D4,L1,V1,M1} P(12,26);d(3) { join( zero, meet( X, X ) ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 (427) {G4,W5,D3,L1,V1,M1} P(63,280);d(57) { join( top, X ) ==> top }.
% 0.74/1.31 (428) {G5,W5,D3,L1,V1,M1} P(280,17);d(23);d(427) { join( Y, top ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 (430) {G5,W4,D3,L1,V0,M1} P(427,192) { converse( top ) ==> top }.
% 0.74/1.31 (434) {G6,W7,D4,L1,V1,M1} P(428,26);d(50) { join( meet( X, top ), zero )
% 0.74/1.31 ==> X }.
% 0.74/1.31 (442) {G7,W7,D4,L1,V1,M1} P(48,434) { join( meet( top, X ), zero ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 (444) {G7,W7,D4,L1,V1,M1} P(434,0) { join( zero, meet( X, top ) ) ==> X }.
% 0.74/1.31 (451) {G8,W7,D4,L1,V1,M1} P(442,0) { join( zero, meet( top, X ) ) ==> X }.
% 0.74/1.31 (487) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse( one ), X )
% 0.74/1.31 ==> X }.
% 0.74/1.31 (493) {G3,W4,D3,L1,V0,M1} P(487,5) { converse( one ) ==> one }.
% 0.74/1.31 (494) {G4,W5,D3,L1,V1,M1} P(493,487) { composition( one, X ) ==> X }.
% 0.74/1.31 (498) {G5,W8,D4,L1,V1,M1} P(494,10);d(487) { join( complement( X ),
% 0.74/1.31 complement( X ) ) ==> complement( X ) }.
% 0.74/1.31 (508) {G6,W7,D4,L1,V1,M1} P(498,3) { complement( complement( X ) ) = meet(
% 0.74/1.31 X, X ) }.
% 0.74/1.31 (522) {G7,W7,D4,L1,V1,M1} P(508,52);d(298) { meet( complement( X ), top )
% 0.74/1.31 ==> complement( X ) }.
% 0.74/1.31 (535) {G8,W7,D4,L1,V1,M1} P(522,444) { join( zero, complement( X ) ) ==>
% 0.74/1.31 complement( X ) }.
% 0.74/1.31 (540) {G9,W5,D3,L1,V1,M1} P(508,535);d(303) { meet( X, X ) ==> X }.
% 0.74/1.31 (545) {G9,W7,D4,L1,V1,M1} P(535,51) { meet( top, X ) ==> complement(
% 0.74/1.31 complement( X ) ) }.
% 0.74/1.31 (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement( complement
% 0.74/1.31 ( X ) ) ==> X }.
% 0.74/1.31 (549) {G10,W5,D3,L1,V1,M1} P(540,298) { join( X, zero ) ==> X }.
% 0.74/1.31 (565) {G11,W5,D3,L1,V1,M1} P(546,498) { join( X, X ) ==> X }.
% 0.74/1.31 (568) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( X, complement( Y )
% 0.74/1.31 ) ) ==> meet( complement( X ), Y ) }.
% 0.74/1.31 (569) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( complement( Y ), X
% 0.74/1.31 ) ) ==> meet( Y, complement( X ) ) }.
% 0.74/1.31 (570) {G11,W10,D4,L1,V2,M1} P(3,546) { join( complement( X ), complement( Y
% 0.74/1.31 ) ) ==> complement( meet( X, Y ) ) }.
% 0.74/1.31 (572) {G12,W9,D4,L1,V2,M1} P(565,16);d(1);d(565) { join( join( X, Y ), Y )
% 0.74/1.31 ==> join( X, Y ) }.
% 0.74/1.31 (573) {G12,W9,D4,L1,V2,M1} P(565,16) { join( join( X, Y ), X ) ==> join( X
% 0.74/1.31 , Y ) }.
% 0.74/1.31 (578) {G11,W5,D3,L1,V1,M1} S(545);d(546) { meet( top, X ) ==> X }.
% 0.74/1.31 (587) {G13,W8,D5,L1,V2,M1} P(26,572);d(569) { join( X, meet( X, complement
% 0.74/1.31 ( Y ) ) ) ==> X }.
% 0.74/1.31 (590) {G14,W7,D4,L1,V2,M1} P(546,587) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.74/1.31 (616) {G15,W7,D4,L1,V2,M1} P(48,590) { join( X, meet( Y, X ) ) ==> X }.
% 0.74/1.31 (630) {G16,W7,D4,L1,V2,M1} P(616,0) { join( meet( Y, X ), X ) ==> X }.
% 0.74/1.31 (632) {G17,W9,D6,L1,V2,M1} P(630,40);d(7) { join( converse( meet( X,
% 0.74/1.31 converse( Y ) ) ), Y ) ==> Y }.
% 0.74/1.31 (701) {G13,W10,D5,L1,V2,M1} P(573,21);d(428) { join( join( X, Y ),
% 0.74/1.31 complement( join( Y, X ) ) ) ==> top }.
% 0.74/1.31 (915) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet( complement( X )
% 0.74/1.31 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.74/1.31 (916) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet( Y, complement( X
% 0.74/1.31 ) ) ) ==> join( complement( Y ), X ) }.
% 0.74/1.31 (1005) {G12,W10,D5,L1,V2,M1} S(26);d(569) { join( meet( X, Y ), meet( X,
% 0.74/1.31 complement( Y ) ) ) ==> X }.
% 0.74/1.31 (1009) {G6,W8,D6,L1,V1,M1} S(192);d(430) { join( X, converse( complement(
% 0.74/1.31 converse( X ) ) ) ) ==> top }.
% 0.74/1.31 (1251) {G13,W10,D5,L1,V2,M1} P(48,1005) { join( meet( Y, X ), meet( X,
% 0.74/1.31 complement( Y ) ) ) ==> X }.
% 0.74/1.31 (1296) {G14,W10,D5,L1,V2,M1} P(1251,0) { join( meet( Y, complement( X ) ),
% 0.74/1.31 meet( X, Y ) ) ==> Y }.
% 0.74/1.31 (1563) {G14,W10,D5,L1,V2,M1} P(701,568);d(50) { meet( complement( join( X,
% 0.74/1.31 Y ) ), join( Y, X ) ) ==> zero }.
% 0.74/1.31 (1578) {G12,W10,D4,L1,V2,M1} P(546,568) { meet( complement( Y ), complement
% 0.74/1.31 ( X ) ) ==> complement( join( Y, X ) ) }.
% 0.74/1.31 (1580) {G12,W14,D6,L1,V3,M1} P(16,568) { complement( join( join( X,
% 0.74/1.31 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 0.74/1.31 (1923) {G15,W10,D6,L1,V2,M1} P(570,1563);d(1578);d(1580);d(569) { meet(
% 0.74/1.31 meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 0.74/1.31 (2567) {G16,W10,D5,L1,V2,M1} P(1923,1296);d(549);d(916) { meet( Y, join(
% 0.74/1.31 complement( X ), meet( Y, X ) ) ) ==> Y }.
% 0.74/1.31 (2594) {G17,W10,D5,L1,V2,M1} P(0,2567) { meet( Y, join( meet( Y, X ),
% 0.74/1.31 complement( X ) ) ) ==> Y }.
% 0.74/1.31 (2681) {G18,W10,D6,L1,V2,M1} P(2594,915);d(546);d(568);d(915) { join( X,
% 0.74/1.31 meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 0.74/1.31 (2731) {G19,W10,D5,L1,V2,M1} P(546,2681) { join( Y, meet( join( Y, X ),
% 0.74/1.31 complement( X ) ) ) ==> Y }.
% 0.74/1.31 (2937) {G20,W9,D7,L1,V1,M1} P(1009,2731);d(578) { join( X, complement(
% 0.74/1.31 converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.74/1.31 (2963) {G21,W9,D7,L1,V1,M1} P(2937,569);d(546);d(546) { meet( X, converse(
% 0.74/1.31 complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.74/1.31 (2987) {G21,W10,D6,L1,V1,M1} P(7,2937) { join( converse( X ), complement(
% 0.74/1.31 converse( complement( X ) ) ) ) ==> converse( X ) }.
% 0.74/1.31 (3015) {G22,W7,D5,L1,V1,M1} P(2963,632);d(2987) { complement( converse(
% 0.74/1.31 complement( X ) ) ) ==> converse( X ) }.
% 0.74/1.31 (3088) {G23,W7,D4,L1,V1,M1} P(3015,546) { converse( complement( X ) ) ==>
% 0.74/1.31 complement( converse( X ) ) }.
% 0.74/1.31 (3090) {G24,W0,D0,L0,V0,M0} R(3088,13) { }.
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 % SZS output end Refutation
% 0.74/1.31 found a proof!
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Unprocessed initial clauses:
% 0.74/1.31
% 0.74/1.31 (3092) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 (3093) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.74/1.31 , Z ) }.
% 0.74/1.31 (3094) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 (3095) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 0.74/1.31 ( X ), complement( Y ) ) ) }.
% 0.74/1.31 (3096) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.74/1.31 composition( composition( X, Y ), Z ) }.
% 0.74/1.31 (3097) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.74/1.31 (3098) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.74/1.31 composition( X, Z ), composition( Y, Z ) ) }.
% 0.74/1.31 (3099) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.74/1.31 (3100) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.74/1.31 ), converse( Y ) ) }.
% 0.74/1.31 (3101) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.74/1.31 composition( converse( Y ), converse( X ) ) }.
% 0.74/1.31 (3102) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.74/1.31 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.74/1.31 (3103) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.74/1.31 (3104) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.74/1.31 (3105) {G0,W7,D4,L1,V0,M1} { ! converse( complement( skol1 ) ) =
% 0.74/1.31 complement( converse( skol1 ) ) }.
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Total Proof:
% 0.74/1.31
% 0.74/1.31 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent0: (3092) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.74/1.31 ( join( X, Y ), Z ) }.
% 0.74/1.31 parent0: (3093) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3108) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.74/1.31 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (3094) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.74/1.31 Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.74/1.31 Y ) ) ) ==> X }.
% 0.74/1.31 parent0: (3108) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.74/1.31 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 0.74/1.31 X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3111) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.74/1.31 complement( Y ) ) ) = meet( X, Y ) }.
% 0.74/1.31 parent0[0]: (3095) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 0.74/1.31 ( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 parent0: (3111) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.74/1.31 complement( Y ) ) ) = meet( X, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.74/1.31 parent0: (3097) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 parent0: (3099) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3131) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.74/1.31 = converse( join( X, Y ) ) }.
% 0.74/1.31 parent0[0]: (3100) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 0.74/1.31 ( converse( X ), converse( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.74/1.31 ) ) ==> converse( join( X, Y ) ) }.
% 0.74/1.31 parent0: (3131) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 0.74/1.31 ) = converse( join( X, Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3140) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.74/1.31 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.74/1.31 parent0[0]: (3101) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 0.74/1.31 = composition( converse( Y ), converse( X ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.74/1.31 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.74/1.31 parent0: (3140) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 0.74/1.31 converse( X ) ) = converse( composition( X, Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.74/1.31 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.74/1.31 Y ) }.
% 0.74/1.31 parent0: (3102) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.74/1.31 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3161) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.74/1.31 parent0[0]: (3103) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.74/1.31 top }.
% 0.74/1.31 parent0: (3161) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3173) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.74/1.31 parent0[0]: (3104) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent0: (3173) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (13) {G0,W7,D4,L1,V0,M1} I { ! converse( complement( skol1 ) )
% 0.74/1.31 ==> complement( converse( skol1 ) ) }.
% 0.74/1.31 parent0: (3105) {G0,W7,D4,L1,V0,M1} { ! converse( complement( skol1 ) ) =
% 0.74/1.31 complement( converse( skol1 ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3187) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3188) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent1[0; 2]: (3187) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.74/1.31 ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := complement( X )
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3191) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (3188) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 0.74/1.31 ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.74/1.31 ==> top }.
% 0.74/1.31 parent0: (3191) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3192) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.74/1.31 , join( Y, Z ) ) }.
% 0.74/1.31 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3197) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.74/1.31 , join( Z, Y ) ) }.
% 0.74/1.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent1[0; 8]: (3192) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.74/1.31 join( X, join( Y, Z ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := Z
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3210) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.74/1.31 join( X, Z ), Y ) }.
% 0.74/1.31 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 parent1[0; 6]: (3197) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.74/1.31 join( X, join( Z, Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Z
% 0.74/1.31 Z := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.74/1.31 ) = join( join( Z, X ), Y ) }.
% 0.74/1.31 parent0: (3210) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.74/1.31 join( X, Z ), Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Z
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3212) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.74/1.31 , join( Y, Z ) ) }.
% 0.74/1.31 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3215) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.74/1.31 ) ==> join( X, top ) }.
% 0.74/1.31 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent1[0; 9]: (3212) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.74/1.31 join( X, join( Y, Z ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := complement( Y )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.74/1.31 complement( X ) ) ==> join( Y, top ) }.
% 0.74/1.31 parent0: (3215) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.74/1.31 ) ==> join( X, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3220) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.74/1.31 , join( Y, Z ) ) }.
% 0.74/1.31 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3225) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.74/1.31 ) ==> join( X, top ) }.
% 0.74/1.31 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.74/1.31 ==> top }.
% 0.74/1.31 parent1[0; 9]: (3220) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.74/1.31 join( X, join( Y, Z ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := complement( Y )
% 0.74/1.31 Z := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (19) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement
% 0.74/1.31 ( X ) ), X ) ==> join( Y, top ) }.
% 0.74/1.31 parent0: (3225) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.74/1.31 ) ==> join( X, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3230) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.74/1.31 ), complement( Y ) ) }.
% 0.74/1.31 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.74/1.31 complement( X ) ) ==> join( Y, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3237) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 0.74/1.31 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.74/1.31 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 parent1[0; 5]: (3230) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.74/1.31 ( X, Y ), complement( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := join( Y, Z )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3238) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 0.74/1.31 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.74/1.31 parent0[0]: (3237) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join(
% 0.74/1.31 join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ),
% 0.74/1.31 Z ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.74/1.31 parent0: (3238) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 0.74/1.31 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 Z := Z
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3239) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.74/1.31 ), complement( Y ) ) }.
% 0.74/1.31 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.74/1.31 complement( X ) ) ==> join( Y, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3242) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.74/1.31 ), complement( Y ) ) }.
% 0.74/1.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent1[0; 5]: (3239) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.74/1.31 ( X, Y ), complement( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3255) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.74/1.31 ) ==> join( X, top ) }.
% 0.74/1.31 parent0[0]: (3242) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.74/1.31 , X ), complement( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (23) {G2,W10,D4,L1,V2,M1} P(0,17) { join( join( Y, X ),
% 0.74/1.31 complement( Y ) ) ==> join( X, top ) }.
% 0.74/1.31 parent0: (3255) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.74/1.31 ) ==> join( X, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3258) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.74/1.31 join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.74/1.31 Y ) ) ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 parent0: (3258) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.74/1.31 join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3261) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.74/1.31 composition( converse( X ), converse( Y ) ) }.
% 0.74/1.31 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.74/1.31 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3263) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.74/1.31 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.74/1.31 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.74/1.31 parent1[0; 9]: (3261) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.74/1.31 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := converse( X )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.74/1.31 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.74/1.31 parent0: (3263) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.74/1.31 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3267) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.74/1.31 converse( X ), converse( Y ) ) }.
% 0.74/1.31 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.74/1.31 ) ==> converse( join( X, Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3268) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.74/1.31 ) ==> join( X, converse( Y ) ) }.
% 0.74/1.31 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.74/1.31 parent1[0; 7]: (3267) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.74/1.31 join( converse( X ), converse( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := converse( X )
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (39) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.74/1.31 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.74/1.31 parent0: (3268) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.74/1.31 ) ==> join( X, converse( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3273) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.74/1.31 converse( X ), converse( Y ) ) }.
% 0.74/1.31 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.74/1.31 ) ==> converse( join( X, Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3275) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 0.74/1.31 ) ==> join( converse( X ), Y ) }.
% 0.74/1.31 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.74/1.31 parent1[0; 9]: (3273) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.74/1.31 join( converse( X ), converse( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := converse( Y )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (40) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 0.74/1.31 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 0.74/1.31 parent0: (3275) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 0.74/1.31 ) ==> join( converse( X ), Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3279) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3282) {G1,W7,D4,L1,V1,M1} { meet( complement( X ), X ) ==>
% 0.74/1.31 complement( top ) }.
% 0.74/1.31 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.74/1.31 ==> top }.
% 0.74/1.31 parent1[0; 6]: (3279) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.31 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := complement( X )
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := complement( X )
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (47) {G2,W7,D4,L1,V1,M1} P(14,3) { meet( complement( X ), X )
% 0.74/1.31 ==> complement( top ) }.
% 0.74/1.31 parent0: (3282) {G1,W7,D4,L1,V1,M1} { meet( complement( X ), X ) ==>
% 0.74/1.31 complement( top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3284) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3286) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.31 complement( Y ), complement( X ) ) ) }.
% 0.74/1.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent1[0; 5]: (3284) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.31 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := complement( X )
% 0.74/1.31 Y := complement( Y )
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3288) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 parent1[0; 4]: (3286) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.31 join( complement( Y ), complement( X ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (48) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.74/1.31 , Y ) }.
% 0.74/1.31 parent0: (3288) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3290) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3293) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.74/1.31 complement( top ) }.
% 0.74/1.31 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent1[0; 6]: (3290) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.31 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := complement( X )
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := complement( X )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3294) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.74/1.31 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 1]: (3293) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.74/1.31 complement( top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3295) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.74/1.31 parent0[0]: (3294) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent0: (3295) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3297) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3298) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 0.74/1.31 ( zero, complement( X ) ) ) }.
% 0.74/1.31 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 6]: (3297) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.31 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := top
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3300) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.74/1.31 ) ) ) ==> meet( top, X ) }.
% 0.74/1.31 parent0[0]: (3298) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.74/1.31 join( zero, complement( X ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (51) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( zero,
% 0.74/1.31 complement( X ) ) ) ==> meet( top, X ) }.
% 0.74/1.31 parent0: (3300) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 0.74/1.31 X ) ) ) ==> meet( top, X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3303) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.31 complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3305) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 0.74/1.31 ( complement( X ), zero ) ) }.
% 0.74/1.31 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 8]: (3303) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.31 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := top
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3307) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.74/1.31 zero ) ) ==> meet( X, top ) }.
% 0.74/1.31 parent0[0]: (3305) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.74/1.31 join( complement( X ), zero ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (52) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join(
% 0.74/1.31 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.74/1.31 parent0: (3307) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.74/1.31 zero ) ) ==> meet( X, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3309) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.74/1.31 ==> top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3310) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.74/1.31 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 3]: (3309) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.74/1.31 , X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := top
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3311) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.74/1.31 parent0[0]: (3310) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (57) {G2,W5,D3,L1,V0,M1} P(50,14) { join( zero, top ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent0: (3311) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3314) {G2,W6,D4,L1,V1,M1} { meet( complement( X ), X ) ==> zero
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 5]: (47) {G2,W7,D4,L1,V1,M1} P(14,3) { meet( complement( X ), X
% 0.74/1.31 ) ==> complement( top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (63) {G3,W6,D4,L1,V1,M1} S(47);d(50) { meet( complement( X ),
% 0.74/1.31 X ) ==> zero }.
% 0.74/1.31 parent0: (3314) {G2,W6,D4,L1,V1,M1} { meet( complement( X ), X ) ==> zero
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3317) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.74/1.31 converse( join( converse( X ), Y ) ) }.
% 0.74/1.31 parent0[0]: (39) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.74/1.31 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3318) {G1,W9,D6,L1,V1,M1} { join( X, converse( complement(
% 0.74/1.31 converse( X ) ) ) ) ==> converse( top ) }.
% 0.74/1.31 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent1[0; 8]: (3317) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.74/1.31 converse( join( converse( X ), Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := converse( X )
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := complement( converse( X ) )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (192) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse(
% 0.74/1.31 complement( converse( X ) ) ) ) ==> converse( top ) }.
% 0.74/1.31 parent0: (3318) {G1,W9,D6,L1,V1,M1} { join( X, converse( complement(
% 0.74/1.31 converse( X ) ) ) ) ==> converse( top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3321) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 0.74/1.31 complement( Y ) ), Y ) }.
% 0.74/1.31 parent0[0]: (19) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement(
% 0.74/1.31 X ) ), X ) ==> join( Y, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3324) {G2,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==> join
% 0.74/1.31 ( X, join( complement( X ), Y ) ) }.
% 0.74/1.31 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 parent1[0; 7]: (3321) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join
% 0.74/1.31 ( X, complement( Y ) ), Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := meet( X, Y )
% 0.74/1.31 Y := join( complement( X ), Y )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3325) {G1,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==> join
% 0.74/1.31 ( join( X, complement( X ) ), Y ) }.
% 0.74/1.31 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.31 join( X, Y ), Z ) }.
% 0.74/1.31 parent1[0; 6]: (3324) {G2,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==>
% 0.74/1.31 join( X, join( complement( X ), Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := complement( X )
% 0.74/1.31 Z := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3326) {G1,W9,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> join(
% 0.74/1.31 top, Y ) }.
% 0.74/1.31 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent1[0; 7]: (3325) {G1,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==>
% 0.74/1.31 join( join( X, complement( X ) ), Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (280) {G3,W9,D4,L1,V2,M1} P(26,19);d(1);d(11) { join( meet( X
% 0.74/1.31 , Y ), top ) ==> join( top, Y ) }.
% 0.74/1.31 parent0: (3326) {G1,W9,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> join(
% 0.74/1.31 top, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3329) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.74/1.31 ( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3331) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.74/1.31 ( top ) ) }.
% 0.74/1.31 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.74/1.31 ==> top }.
% 0.74/1.31 parent1[0; 7]: (3329) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3332) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.74/1.31 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 6]: (3331) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.74/1.31 complement( top ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3333) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.74/1.31 parent0[0]: (3332) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (298) {G2,W7,D4,L1,V1,M1} P(14,26);d(50) { join( meet( X, X )
% 0.74/1.31 , zero ) ==> X }.
% 0.74/1.31 parent0: (3333) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3335) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.74/1.31 ( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3337) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 0.74/1.31 ( complement( X ), complement( X ) ) ) ) }.
% 0.74/1.31 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 3]: (3335) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := complement( X )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3338) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.74/1.31 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.31 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.31 parent1[0; 4]: (3337) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 0.74/1.31 ( join( complement( X ), complement( X ) ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3339) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.74/1.31 parent0[0]: (3338) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (303) {G2,W7,D4,L1,V1,M1} P(12,26);d(3) { join( zero, meet( X
% 0.74/1.31 , X ) ) ==> X }.
% 0.74/1.31 parent0: (3339) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3341) {G3,W9,D4,L1,V2,M1} { join( top, Y ) ==> join( meet( X, Y )
% 0.74/1.31 , top ) }.
% 0.74/1.31 parent0[0]: (280) {G3,W9,D4,L1,V2,M1} P(26,19);d(1);d(11) { join( meet( X,
% 0.74/1.31 Y ), top ) ==> join( top, Y ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3343) {G4,W7,D3,L1,V1,M1} { join( top, X ) ==> join( zero, top )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (63) {G3,W6,D4,L1,V1,M1} S(47);d(50) { meet( complement( X ), X
% 0.74/1.31 ) ==> zero }.
% 0.74/1.31 parent1[0; 5]: (3341) {G3,W9,D4,L1,V2,M1} { join( top, Y ) ==> join( meet
% 0.74/1.31 ( X, Y ), top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := complement( X )
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3344) {G3,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.74/1.31 parent0[0]: (57) {G2,W5,D3,L1,V0,M1} P(50,14) { join( zero, top ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent1[0; 4]: (3343) {G4,W7,D3,L1,V1,M1} { join( top, X ) ==> join( zero
% 0.74/1.31 , top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (427) {G4,W5,D3,L1,V1,M1} P(63,280);d(57) { join( top, X ) ==>
% 0.74/1.31 top }.
% 0.74/1.31 parent0: (3344) {G3,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3347) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.74/1.31 ), complement( Y ) ) }.
% 0.74/1.31 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.74/1.31 complement( X ) ) ==> join( Y, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3351) {G2,W12,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> join
% 0.74/1.31 ( join( top, Y ), complement( top ) ) }.
% 0.74/1.31 parent0[0]: (280) {G3,W9,D4,L1,V2,M1} P(26,19);d(1);d(11) { join( meet( X,
% 0.74/1.31 Y ), top ) ==> join( top, Y ) }.
% 0.74/1.31 parent1[0; 7]: (3347) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.74/1.31 ( X, Y ), complement( Y ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := meet( X, Y )
% 0.74/1.31 Y := top
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3352) {G3,W10,D4,L1,V1,M1} { join( top, Y ) ==> join( join( top
% 0.74/1.31 , Y ), complement( top ) ) }.
% 0.74/1.31 parent0[0]: (280) {G3,W9,D4,L1,V2,M1} P(26,19);d(1);d(11) { join( meet( X,
% 0.74/1.31 Y ), top ) ==> join( top, Y ) }.
% 0.74/1.31 parent1[0; 1]: (3351) {G2,W12,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==>
% 0.74/1.31 join( join( top, Y ), complement( top ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3354) {G3,W7,D3,L1,V1,M1} { join( top, X ) ==> join( X, top )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (23) {G2,W10,D4,L1,V2,M1} P(0,17) { join( join( Y, X ),
% 0.74/1.31 complement( Y ) ) ==> join( X, top ) }.
% 0.74/1.31 parent1[0; 4]: (3352) {G3,W10,D4,L1,V1,M1} { join( top, Y ) ==> join( join
% 0.74/1.31 ( top, Y ), complement( top ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := top
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3355) {G4,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.74/1.31 parent0[0]: (427) {G4,W5,D3,L1,V1,M1} P(63,280);d(57) { join( top, X ) ==>
% 0.74/1.31 top }.
% 0.74/1.31 parent1[0; 1]: (3354) {G3,W7,D3,L1,V1,M1} { join( top, X ) ==> join( X,
% 0.74/1.31 top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3356) {G4,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.74/1.31 parent0[0]: (3355) {G4,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (428) {G5,W5,D3,L1,V1,M1} P(280,17);d(23);d(427) { join( Y,
% 0.74/1.31 top ) ==> top }.
% 0.74/1.31 parent0: (3356) {G4,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3357) {G4,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.74/1.31 parent0[0]: (427) {G4,W5,D3,L1,V1,M1} P(63,280);d(57) { join( top, X ) ==>
% 0.74/1.31 top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3359) {G3,W4,D3,L1,V0,M1} { top ==> converse( top ) }.
% 0.74/1.31 parent0[0]: (192) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse(
% 0.74/1.31 complement( converse( X ) ) ) ) ==> converse( top ) }.
% 0.74/1.31 parent1[0; 2]: (3357) {G4,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := top
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := converse( complement( converse( top ) ) )
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3360) {G3,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.74/1.31 parent0[0]: (3359) {G3,W4,D3,L1,V0,M1} { top ==> converse( top ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (430) {G5,W4,D3,L1,V0,M1} P(427,192) { converse( top ) ==> top
% 0.74/1.31 }.
% 0.74/1.31 parent0: (3360) {G3,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3362) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.74/1.31 ( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3364) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.74/1.31 complement( top ) ) }.
% 0.74/1.31 parent0[0]: (428) {G5,W5,D3,L1,V1,M1} P(280,17);d(23);d(427) { join( Y, top
% 0.74/1.31 ) ==> top }.
% 0.74/1.31 parent1[0; 7]: (3362) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.74/1.31 complement( join( complement( X ), Y ) ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := Y
% 0.74/1.31 Y := complement( X )
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 Y := top
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3365) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.74/1.31 zero }.
% 0.74/1.31 parent1[0; 6]: (3364) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.74/1.31 complement( top ) ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3366) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (3365) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.74/1.31 ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (434) {G6,W7,D4,L1,V1,M1} P(428,26);d(50) { join( meet( X, top
% 0.74/1.31 ), zero ) ==> X }.
% 0.74/1.31 parent0: (3366) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3367) {G6,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (434) {G6,W7,D4,L1,V1,M1} P(428,26);d(50) { join( meet( X, top
% 0.74/1.31 ), zero ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3368) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (48) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.74/1.31 Y ) }.
% 0.74/1.31 parent1[0; 3]: (3367) {G6,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.74/1.31 zero ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := top
% 0.74/1.31 Y := X
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3371) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (3368) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 0.74/1.31 ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (442) {G7,W7,D4,L1,V1,M1} P(48,434) { join( meet( top, X ),
% 0.74/1.31 zero ) ==> X }.
% 0.74/1.31 parent0: (3371) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3372) {G6,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (434) {G6,W7,D4,L1,V1,M1} P(428,26);d(50) { join( meet( X, top
% 0.74/1.31 ), zero ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3373) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent1[0; 2]: (3372) {G6,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.74/1.31 zero ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := meet( X, top )
% 0.74/1.31 Y := zero
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3376) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (3373) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top )
% 0.74/1.31 ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (444) {G7,W7,D4,L1,V1,M1} P(434,0) { join( zero, meet( X, top
% 0.74/1.31 ) ) ==> X }.
% 0.74/1.31 parent0: (3376) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3377) {G7,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (442) {G7,W7,D4,L1,V1,M1} P(48,434) { join( meet( top, X ),
% 0.74/1.31 zero ) ==> X }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3378) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.31 parent1[0; 2]: (3377) {G7,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.74/1.31 zero ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := meet( top, X )
% 0.74/1.31 Y := zero
% 0.74/1.31 end
% 0.74/1.31 substitution1:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3381) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 parent0[0]: (3378) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 0.74/1.31 ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 subsumption: (451) {G8,W7,D4,L1,V1,M1} P(442,0) { join( zero, meet( top, X
% 0.74/1.31 ) ) ==> X }.
% 0.74/1.31 parent0: (3381) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.74/1.31 }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 end
% 0.74/1.31 permutation0:
% 0.74/1.31 0 ==> 0
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 eqswap: (3383) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.74/1.31 converse( composition( converse( X ), Y ) ) }.
% 0.74/1.31 parent0[0]: (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.74/1.31 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.74/1.31 substitution0:
% 0.74/1.31 X := X
% 0.74/1.31 Y := Y
% 0.74/1.31 end
% 0.74/1.31
% 0.74/1.31 paramod: (3386) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.74/1.32 ==> converse( converse( X ) ) }.
% 0.74/1.32 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.74/1.32 parent1[0; 6]: (3383) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.74/1.32 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := converse( X )
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := one
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3387) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 5]: (3386) {G1,W8,D4,L1,V1,M1} { composition( converse( one ),
% 0.74/1.32 X ) ==> converse( converse( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (487) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.74/1.32 ( one ), X ) ==> X }.
% 0.74/1.32 parent0: (3387) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.74/1.32 ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3389) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.74/1.32 ) }.
% 0.74/1.32 parent0[0]: (487) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.74/1.32 ( one ), X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3391) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.74/1.32 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.74/1.32 parent1[0; 2]: (3389) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.74/1.32 one ), X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := converse( one )
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := one
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3392) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.74/1.32 parent0[0]: (3391) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (493) {G3,W4,D3,L1,V0,M1} P(487,5) { converse( one ) ==> one
% 0.74/1.32 }.
% 0.74/1.32 parent0: (3392) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.74/1.32 substitution0:
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3394) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.74/1.32 ) }.
% 0.74/1.32 parent0[0]: (487) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.74/1.32 ( one ), X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3395) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.74/1.32 parent0[0]: (493) {G3,W4,D3,L1,V0,M1} P(487,5) { converse( one ) ==> one
% 0.74/1.32 }.
% 0.74/1.32 parent1[0; 3]: (3394) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.74/1.32 one ), X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3396) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.74/1.32 parent0[0]: (3395) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (494) {G4,W5,D3,L1,V1,M1} P(493,487) { composition( one, X )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent0: (3396) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3398) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.74/1.32 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.74/1.32 complement( Y ) ) }.
% 0.74/1.32 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.74/1.32 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.74/1.32 Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3400) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.74/1.32 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.74/1.32 parent0[0]: (494) {G4,W5,D3,L1,V1,M1} P(493,487) { composition( one, X )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent1[0; 8]: (3398) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.74/1.32 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.74/1.32 complement( Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := one
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3401) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.74/1.32 ( X ), complement( X ) ) }.
% 0.74/1.32 parent0[0]: (487) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.74/1.32 ( one ), X ) ==> X }.
% 0.74/1.32 parent1[0; 4]: (3400) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.74/1.32 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := complement( X )
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3402) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.74/1.32 ) ) ==> complement( X ) }.
% 0.74/1.32 parent0[0]: (3401) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.74/1.32 complement( X ), complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (498) {G5,W8,D4,L1,V1,M1} P(494,10);d(487) { join( complement
% 0.74/1.32 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.74/1.32 parent0: (3402) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.74/1.32 ) ) ==> complement( X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3404) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.32 complement( X ), complement( Y ) ) ) }.
% 0.74/1.32 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.32 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3419) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 parent0[0]: (498) {G5,W8,D4,L1,V1,M1} P(494,10);d(487) { join( complement(
% 0.74/1.32 X ), complement( X ) ) ==> complement( X ) }.
% 0.74/1.32 parent1[0; 5]: (3404) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.32 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3420) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.74/1.32 meet( X, X ) }.
% 0.74/1.32 parent0[0]: (3419) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (508) {G6,W7,D4,L1,V1,M1} P(498,3) { complement( complement( X
% 0.74/1.32 ) ) = meet( X, X ) }.
% 0.74/1.32 parent0: (3420) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.74/1.32 meet( X, X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3422) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.74/1.32 complement( X ), zero ) ) }.
% 0.74/1.32 parent0[0]: (52) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( complement
% 0.74/1.32 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3427) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.74/1.32 complement( join( meet( X, X ), zero ) ) }.
% 0.74/1.32 parent0[0]: (508) {G6,W7,D4,L1,V1,M1} P(498,3) { complement( complement( X
% 0.74/1.32 ) ) = meet( X, X ) }.
% 0.74/1.32 parent1[0; 7]: (3422) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.74/1.32 ( join( complement( X ), zero ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := complement( X )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3428) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.74/1.32 complement( X ) }.
% 0.74/1.32 parent0[0]: (298) {G2,W7,D4,L1,V1,M1} P(14,26);d(50) { join( meet( X, X ),
% 0.74/1.32 zero ) ==> X }.
% 0.74/1.32 parent1[0; 6]: (3427) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top )
% 0.74/1.32 ==> complement( join( meet( X, X ), zero ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (522) {G7,W7,D4,L1,V1,M1} P(508,52);d(298) { meet( complement
% 0.74/1.32 ( X ), top ) ==> complement( X ) }.
% 0.74/1.32 parent0: (3428) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.74/1.32 complement( X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3431) {G7,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.74/1.32 }.
% 0.74/1.32 parent0[0]: (444) {G7,W7,D4,L1,V1,M1} P(434,0) { join( zero, meet( X, top )
% 0.74/1.32 ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3432) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 parent0[0]: (522) {G7,W7,D4,L1,V1,M1} P(508,52);d(298) { meet( complement(
% 0.74/1.32 X ), top ) ==> complement( X ) }.
% 0.74/1.32 parent1[0; 5]: (3431) {G7,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top
% 0.74/1.32 ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := complement( X )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3433) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.74/1.32 complement( X ) }.
% 0.74/1.32 parent0[0]: (3432) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (535) {G8,W7,D4,L1,V1,M1} P(522,444) { join( zero, complement
% 0.74/1.32 ( X ) ) ==> complement( X ) }.
% 0.74/1.32 parent0: (3433) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.74/1.32 complement( X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3435) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 parent0[0]: (535) {G8,W7,D4,L1,V1,M1} P(522,444) { join( zero, complement(
% 0.74/1.32 X ) ) ==> complement( X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3438) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.74/1.32 join( zero, meet( X, X ) ) }.
% 0.74/1.32 parent0[0]: (508) {G6,W7,D4,L1,V1,M1} P(498,3) { complement( complement( X
% 0.74/1.32 ) ) = meet( X, X ) }.
% 0.74/1.32 parent1[0; 6]: (3435) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero
% 0.74/1.32 , complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := complement( X )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3439) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet( X
% 0.74/1.32 , X ) ) }.
% 0.74/1.32 parent0[0]: (508) {G6,W7,D4,L1,V1,M1} P(498,3) { complement( complement( X
% 0.74/1.32 ) ) = meet( X, X ) }.
% 0.74/1.32 parent1[0; 1]: (3438) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 0.74/1.32 ==> join( zero, meet( X, X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3442) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.74/1.32 parent0[0]: (303) {G2,W7,D4,L1,V1,M1} P(12,26);d(3) { join( zero, meet( X,
% 0.74/1.32 X ) ) ==> X }.
% 0.74/1.32 parent1[0; 4]: (3439) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 0.74/1.32 meet( X, X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (540) {G9,W5,D3,L1,V1,M1} P(508,535);d(303) { meet( X, X ) ==>
% 0.74/1.32 X }.
% 0.74/1.32 parent0: (3442) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3445) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.74/1.32 zero, complement( X ) ) ) }.
% 0.74/1.32 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( zero,
% 0.74/1.32 complement( X ) ) ) ==> meet( top, X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3452) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 parent0[0]: (535) {G8,W7,D4,L1,V1,M1} P(522,444) { join( zero, complement(
% 0.74/1.32 X ) ) ==> complement( X ) }.
% 0.74/1.32 parent1[0; 5]: (3445) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.74/1.32 ( join( zero, complement( X ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (545) {G9,W7,D4,L1,V1,M1} P(535,51) { meet( top, X ) ==>
% 0.74/1.32 complement( complement( X ) ) }.
% 0.74/1.32 parent0: (3452) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3455) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.74/1.32 complement( X ) ) }.
% 0.74/1.32 parent0[0]: (535) {G8,W7,D4,L1,V1,M1} P(522,444) { join( zero, complement(
% 0.74/1.32 X ) ) ==> complement( X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3460) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 0.74/1.32 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.74/1.32 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( zero,
% 0.74/1.32 complement( X ) ) ) ==> meet( top, X ) }.
% 0.74/1.32 parent1[0; 8]: (3455) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero
% 0.74/1.32 , complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := join( zero, complement( X ) )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3461) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 0.74/1.32 ( top, X ) ) }.
% 0.74/1.32 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(50,3) { complement( join( zero,
% 0.74/1.32 complement( X ) ) ) ==> meet( top, X ) }.
% 0.74/1.32 parent1[0; 1]: (3460) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.74/1.32 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3463) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.74/1.32 parent0[0]: (451) {G8,W7,D4,L1,V1,M1} P(442,0) { join( zero, meet( top, X )
% 0.74/1.32 ) ==> X }.
% 0.74/1.32 parent1[0; 4]: (3461) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 0.74/1.32 , meet( top, X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3464) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.74/1.32 }.
% 0.74/1.32 parent0[0]: (545) {G9,W7,D4,L1,V1,M1} P(535,51) { meet( top, X ) ==>
% 0.74/1.32 complement( complement( X ) ) }.
% 0.74/1.32 parent1[0; 1]: (3463) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) {
% 0.74/1.32 complement( complement( X ) ) ==> X }.
% 0.74/1.32 parent0: (3464) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.74/1.32 }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3467) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.74/1.32 parent0[0]: (298) {G2,W7,D4,L1,V1,M1} P(14,26);d(50) { join( meet( X, X ),
% 0.74/1.32 zero ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3468) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.74/1.32 parent0[0]: (540) {G9,W5,D3,L1,V1,M1} P(508,535);d(303) { meet( X, X ) ==>
% 0.74/1.32 X }.
% 0.74/1.32 parent1[0; 3]: (3467) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero
% 0.74/1.32 ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3469) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.74/1.32 parent0[0]: (3468) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (549) {G10,W5,D3,L1,V1,M1} P(540,298) { join( X, zero ) ==> X
% 0.74/1.32 }.
% 0.74/1.32 parent0: (3469) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3471) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.74/1.32 ( X ), complement( X ) ) }.
% 0.74/1.32 parent0[0]: (498) {G5,W8,D4,L1,V1,M1} P(494,10);d(487) { join( complement(
% 0.74/1.32 X ), complement( X ) ) ==> complement( X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3474) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.74/1.32 join( complement( complement( X ) ), X ) }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 8]: (3471) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.74/1.32 complement( X ), complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := complement( X )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3476) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.74/1.32 join( X, X ) }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 5]: (3474) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.74/1.32 ==> join( complement( complement( X ) ), X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3477) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 1]: (3476) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.74/1.32 ==> join( X, X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3483) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.74/1.32 parent0[0]: (3477) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (565) {G11,W5,D3,L1,V1,M1} P(546,498) { join( X, X ) ==> X }.
% 0.74/1.32 parent0: (3483) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3487) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.32 complement( X ), complement( Y ) ) ) }.
% 0.74/1.32 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.32 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3490) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.74/1.32 complement( join( X, complement( Y ) ) ) }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 7]: (3487) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.32 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := complement( X )
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3492) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y )
% 0.74/1.32 ) ) ==> meet( complement( X ), Y ) }.
% 0.74/1.32 parent0[0]: (3490) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.74/1.32 complement( join( X, complement( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (568) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( X,
% 0.74/1.32 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.74/1.32 parent0: (3492) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y
% 0.74/1.32 ) ) ) ==> meet( complement( X ), Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3495) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.74/1.32 complement( X ), complement( Y ) ) ) }.
% 0.74/1.32 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.32 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3499) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.74/1.32 complement( join( complement( X ), Y ) ) }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 9]: (3495) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.74/1.32 join( complement( X ), complement( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := complement( Y )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3501) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.74/1.32 ) ) ==> meet( X, complement( Y ) ) }.
% 0.74/1.32 parent0[0]: (3499) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.74/1.32 complement( join( complement( X ), Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (569) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join(
% 0.74/1.32 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.74/1.32 parent0: (3501) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.74/1.32 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3503) {G10,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.74/1.32 }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3508) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.74/1.32 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.74/1.32 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.74/1.32 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.74/1.32 parent1[0; 7]: (3503) {G10,W5,D4,L1,V1,M1} { X ==> complement( complement
% 0.74/1.32 ( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := join( complement( X ), complement( Y ) )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (570) {G11,W10,D4,L1,V2,M1} P(3,546) { join( complement( X ),
% 0.74/1.32 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.74/1.32 parent0: (3508) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.74/1.32 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3510) {G11,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.74/1.32 parent0[0]: (565) {G11,W5,D3,L1,V1,M1} P(546,498) { join( X, X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3513) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 0.74/1.32 join( X, Y ) ), Y ) }.
% 0.74/1.32 parent0[0]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.74/1.32 = join( join( Z, X ), Y ) }.
% 0.74/1.32 parent1[0; 4]: (3510) {G11,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := join( X, Y )
% 0.74/1.32 Y := Y
% 0.74/1.32 Z := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := join( X, Y )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3515) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join(
% 0.74/1.32 X, X ), Y ), Y ) }.
% 0.74/1.32 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.74/1.32 join( X, Y ), Z ) }.
% 0.74/1.32 parent1[0; 5]: (3513) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.74/1.32 X, join( X, Y ) ), Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := X
% 0.74/1.32 Z := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3516) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.74/1.32 , Y ) }.
% 0.74/1.32 parent0[0]: (565) {G11,W5,D3,L1,V1,M1} P(546,498) { join( X, X ) ==> X }.
% 0.74/1.32 parent1[0; 6]: (3515) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.74/1.32 join( X, X ), Y ), Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3517) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.74/1.32 Y ) }.
% 0.74/1.32 parent0[0]: (3516) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.74/1.32 ), Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (572) {G12,W9,D4,L1,V2,M1} P(565,16);d(1);d(565) { join( join
% 0.74/1.32 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.74/1.32 parent0: (3517) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 0.74/1.32 , Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3526) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X, Y
% 0.74/1.32 ) }.
% 0.74/1.32 parent0[0]: (565) {G11,W5,D3,L1,V1,M1} P(546,498) { join( X, X ) ==> X }.
% 0.74/1.32 parent1[0; 7]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 0.74/1.32 X ) = join( join( Z, X ), Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 Z := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (573) {G12,W9,D4,L1,V2,M1} P(565,16) { join( join( X, Y ), X )
% 0.74/1.32 ==> join( X, Y ) }.
% 0.74/1.32 parent0: (3526) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X, Y
% 0.74/1.32 ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3529) {G10,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 4]: (545) {G9,W7,D4,L1,V1,M1} P(535,51) { meet( top, X ) ==>
% 0.74/1.32 complement( complement( X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (578) {G11,W5,D3,L1,V1,M1} S(545);d(546) { meet( top, X ) ==>
% 0.74/1.32 X }.
% 0.74/1.32 parent0: (3529) {G10,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3532) {G12,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.74/1.32 , Y ) }.
% 0.74/1.32 parent0[0]: (572) {G12,W9,D4,L1,V2,M1} P(565,16);d(1);d(565) { join( join(
% 0.74/1.32 X, Y ), Y ) ==> join( X, Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3535) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.74/1.32 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.74/1.32 ( X ), Y ) ) ) }.
% 0.74/1.32 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.32 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.32 parent1[0; 11]: (3532) {G12,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 0.74/1.32 ( X, Y ), Y ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := meet( X, Y )
% 0.74/1.32 Y := complement( join( complement( X ), Y ) )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3536) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.74/1.32 complement( X ), Y ) ) ) }.
% 0.74/1.32 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.74/1.32 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.74/1.32 parent1[0; 1]: (3535) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.74/1.32 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.74/1.32 ( complement( X ), Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3543) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.74/1.32 Y ) ) ) }.
% 0.74/1.32 parent0[0]: (569) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join(
% 0.74/1.32 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.74/1.32 parent1[0; 4]: (3536) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.74/1.32 join( complement( X ), Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3544) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent0[0]: (3543) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.74/1.32 complement( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (587) {G13,W8,D5,L1,V2,M1} P(26,572);d(569) { join( X, meet( X
% 0.74/1.32 , complement( Y ) ) ) ==> X }.
% 0.74/1.32 parent0: (3544) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.74/1.32 ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3546) {G13,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.74/1.32 Y ) ) ) }.
% 0.74/1.32 parent0[0]: (587) {G13,W8,D5,L1,V2,M1} P(26,572);d(569) { join( X, meet( X
% 0.74/1.32 , complement( Y ) ) ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3547) {G11,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.74/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.74/1.32 ( complement( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 6]: (3546) {G13,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.74/1.32 complement( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := complement( Y )
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3548) {G11,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.74/1.32 parent0[0]: (3547) {G11,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.74/1.32 }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (590) {G14,W7,D4,L1,V2,M1} P(546,587) { join( Y, meet( Y, X )
% 0.74/1.32 ) ==> Y }.
% 0.74/1.32 parent0: (3548) {G11,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3549) {G14,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.74/1.32 parent0[0]: (590) {G14,W7,D4,L1,V2,M1} P(546,587) { join( Y, meet( Y, X ) )
% 0.74/1.32 ==> Y }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3550) {G2,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.74/1.32 parent0[0]: (48) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.74/1.32 Y ) }.
% 0.74/1.32 parent1[0; 4]: (3549) {G14,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.74/1.32 }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3553) {G2,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.74/1.32 parent0[0]: (3550) {G2,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (616) {G15,W7,D4,L1,V2,M1} P(48,590) { join( X, meet( Y, X ) )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent0: (3553) {G2,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3554) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.74/1.32 parent0[0]: (616) {G15,W7,D4,L1,V2,M1} P(48,590) { join( X, meet( Y, X ) )
% 0.74/1.32 ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3555) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 0.74/1.32 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.74/1.32 parent1[0; 2]: (3554) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 0.74/1.32 }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := meet( Y, X )
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3558) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 0.74/1.32 parent0[0]: (3555) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (630) {G16,W7,D4,L1,V2,M1} P(616,0) { join( meet( Y, X ), X )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent0: (3558) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3560) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 0.74/1.32 converse( join( X, converse( Y ) ) ) }.
% 0.74/1.32 parent0[0]: (40) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 0.74/1.32 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3562) {G2,W11,D6,L1,V2,M1} { join( converse( meet( X, converse(
% 0.74/1.32 Y ) ) ), Y ) ==> converse( converse( Y ) ) }.
% 0.74/1.32 parent0[0]: (630) {G16,W7,D4,L1,V2,M1} P(616,0) { join( meet( Y, X ), X )
% 0.74/1.32 ==> X }.
% 0.74/1.32 parent1[0; 9]: (3560) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 0.74/1.32 converse( join( X, converse( Y ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := converse( Y )
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := meet( X, converse( Y ) )
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3563) {G1,W9,D6,L1,V2,M1} { join( converse( meet( X, converse( Y
% 0.74/1.32 ) ) ), Y ) ==> Y }.
% 0.74/1.32 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.74/1.32 parent1[0; 8]: (3562) {G2,W11,D6,L1,V2,M1} { join( converse( meet( X,
% 0.74/1.32 converse( Y ) ) ), Y ) ==> converse( converse( Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (632) {G17,W9,D6,L1,V2,M1} P(630,40);d(7) { join( converse(
% 0.74/1.32 meet( X, converse( Y ) ) ), Y ) ==> Y }.
% 0.74/1.32 parent0: (3563) {G1,W9,D6,L1,V2,M1} { join( converse( meet( X, converse( Y
% 0.74/1.32 ) ) ), Y ) ==> Y }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3566) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 0.74/1.32 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.74/1.32 parent0[0]: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z
% 0.74/1.32 ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 Z := Z
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3582) {G3,W12,D5,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.74/1.32 ), complement( join( Y, X ) ) ) }.
% 0.74/1.32 parent0[0]: (573) {G12,W9,D4,L1,V2,M1} P(565,16) { join( join( X, Y ), X )
% 0.74/1.32 ==> join( X, Y ) }.
% 0.74/1.32 parent1[0; 5]: (3566) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join
% 0.74/1.32 ( join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 Z := X
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3589) {G4,W10,D5,L1,V2,M1} { top ==> join( join( X, Y ),
% 0.74/1.32 complement( join( Y, X ) ) ) }.
% 0.74/1.32 parent0[0]: (428) {G5,W5,D3,L1,V1,M1} P(280,17);d(23);d(427) { join( Y, top
% 0.74/1.32 ) ==> top }.
% 0.74/1.32 parent1[0; 1]: (3582) {G3,W12,D5,L1,V2,M1} { join( X, top ) ==> join( join
% 0.74/1.32 ( X, Y ), complement( join( Y, X ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := Z
% 0.74/1.32 Y := X
% 0.74/1.32 end
% 0.74/1.32 substitution1:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3590) {G4,W10,D5,L1,V2,M1} { join( join( X, Y ), complement( join
% 0.74/1.32 ( Y, X ) ) ) ==> top }.
% 0.74/1.32 parent0[0]: (3589) {G4,W10,D5,L1,V2,M1} { top ==> join( join( X, Y ),
% 0.74/1.32 complement( join( Y, X ) ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 subsumption: (701) {G13,W10,D5,L1,V2,M1} P(573,21);d(428) { join( join( X,
% 0.74/1.32 Y ), complement( join( Y, X ) ) ) ==> top }.
% 0.74/1.32 parent0: (3590) {G4,W10,D5,L1,V2,M1} { join( join( X, Y ), complement(
% 0.74/1.32 join( Y, X ) ) ) ==> top }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32 permutation0:
% 0.74/1.32 0 ==> 0
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 eqswap: (3592) {G11,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.74/1.32 ( complement( X ), complement( Y ) ) }.
% 0.74/1.32 parent0[0]: (570) {G11,W10,D4,L1,V2,M1} P(3,546) { join( complement( X ),
% 0.74/1.32 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.74/1.32 substitution0:
% 0.74/1.32 X := X
% 0.74/1.32 Y := Y
% 0.74/1.32 end
% 0.74/1.32
% 0.74/1.32 paramod: (3593) {G11,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.98/1.32 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 7]: (3592) {G11,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.98/1.32 ==> join( complement( X ), complement( Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := complement( X )
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (915) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet(
% 0.98/1.32 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.98/1.32 parent0: (3593) {G11,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.98/1.32 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3598) {G11,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.98/1.32 ( complement( X ), complement( Y ) ) }.
% 0.98/1.32 parent0[0]: (570) {G11,W10,D4,L1,V2,M1} P(3,546) { join( complement( X ),
% 0.98/1.32 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3600) {G11,W10,D5,L1,V2,M1} { complement( meet( X, complement( Y
% 0.98/1.32 ) ) ) ==> join( complement( X ), Y ) }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 9]: (3598) {G11,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.98/1.32 ==> join( complement( X ), complement( Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := complement( Y )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (916) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet( Y,
% 0.98/1.32 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 0.98/1.32 parent0: (3600) {G11,W10,D5,L1,V2,M1} { complement( meet( X, complement( Y
% 0.98/1.32 ) ) ) ==> join( complement( X ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3605) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (569) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join(
% 0.98/1.32 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.98/1.32 parent1[0; 5]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.98/1.32 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1005) {G12,W10,D5,L1,V2,M1} S(26);d(569) { join( meet( X, Y )
% 0.98/1.32 , meet( X, complement( Y ) ) ) ==> X }.
% 0.98/1.32 parent0: (3605) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3609) {G3,W8,D6,L1,V1,M1} { join( X, converse( complement(
% 0.98/1.32 converse( X ) ) ) ) ==> top }.
% 0.98/1.32 parent0[0]: (430) {G5,W4,D3,L1,V0,M1} P(427,192) { converse( top ) ==> top
% 0.98/1.32 }.
% 0.98/1.32 parent1[0; 7]: (192) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse(
% 0.98/1.32 complement( converse( X ) ) ) ) ==> converse( top ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1009) {G6,W8,D6,L1,V1,M1} S(192);d(430) { join( X, converse(
% 0.98/1.32 complement( converse( X ) ) ) ) ==> top }.
% 0.98/1.32 parent0: (3609) {G3,W8,D6,L1,V1,M1} { join( X, converse( complement(
% 0.98/1.32 converse( X ) ) ) ) ==> top }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3611) {G12,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X,
% 0.98/1.32 complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (1005) {G12,W10,D5,L1,V2,M1} S(26);d(569) { join( meet( X, Y )
% 0.98/1.32 , meet( X, complement( Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3612) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet( X,
% 0.98/1.32 complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (48) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.98/1.32 Y ) }.
% 0.98/1.32 parent1[0; 3]: (3611) {G12,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.98/1.32 meet( X, complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3616) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (3612) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet(
% 0.98/1.32 X, complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1251) {G13,W10,D5,L1,V2,M1} P(48,1005) { join( meet( Y, X ),
% 0.98/1.32 meet( X, complement( Y ) ) ) ==> X }.
% 0.98/1.32 parent0: (3616) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3620) {G13,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ), meet( Y,
% 0.98/1.32 complement( X ) ) ) }.
% 0.98/1.32 parent0[0]: (1251) {G13,W10,D5,L1,V2,M1} P(48,1005) { join( meet( Y, X ),
% 0.98/1.32 meet( X, complement( Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3621) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 0.98/1.32 ) ), meet( Y, X ) ) }.
% 0.98/1.32 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.98/1.32 parent1[0; 2]: (3620) {G13,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ),
% 0.98/1.32 meet( Y, complement( X ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := meet( Y, X )
% 0.98/1.32 Y := meet( X, complement( Y ) )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3624) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 0.98/1.32 meet( Y, X ) ) ==> X }.
% 0.98/1.32 parent0[0]: (3621) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement
% 0.98/1.32 ( Y ) ), meet( Y, X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1296) {G14,W10,D5,L1,V2,M1} P(1251,0) { join( meet( Y,
% 0.98/1.32 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 0.98/1.32 parent0: (3624) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 0.98/1.32 meet( Y, X ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3626) {G11,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.98/1.32 complement( join( X, complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (568) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( X,
% 0.98/1.32 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3629) {G12,W11,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 0.98/1.32 join( Y, X ) ) ==> complement( top ) }.
% 0.98/1.32 parent0[0]: (701) {G13,W10,D5,L1,V2,M1} P(573,21);d(428) { join( join( X, Y
% 0.98/1.32 ), complement( join( Y, X ) ) ) ==> top }.
% 0.98/1.32 parent1[0; 10]: (3626) {G11,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 0.98/1.32 ==> complement( join( X, complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := join( X, Y )
% 0.98/1.32 Y := join( Y, X )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3630) {G2,W10,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 0.98/1.32 join( Y, X ) ) ==> zero }.
% 0.98/1.32 parent0[0]: (50) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.98/1.32 zero }.
% 0.98/1.32 parent1[0; 9]: (3629) {G12,W11,D5,L1,V2,M1} { meet( complement( join( X, Y
% 0.98/1.32 ) ), join( Y, X ) ) ==> complement( top ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1563) {G14,W10,D5,L1,V2,M1} P(701,568);d(50) { meet(
% 0.98/1.32 complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 0.98/1.32 parent0: (3630) {G2,W10,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 0.98/1.32 join( Y, X ) ) ==> zero }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3633) {G11,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.98/1.32 complement( join( X, complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (568) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( X,
% 0.98/1.32 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3637) {G11,W10,D4,L1,V2,M1} { meet( complement( X ), complement
% 0.98/1.32 ( Y ) ) ==> complement( join( X, Y ) ) }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 9]: (3633) {G11,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 0.98/1.32 ==> complement( join( X, complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := complement( Y )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1578) {G12,W10,D4,L1,V2,M1} P(546,568) { meet( complement( Y
% 0.98/1.32 ), complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.98/1.32 parent0: (3637) {G11,W10,D4,L1,V2,M1} { meet( complement( X ), complement
% 0.98/1.32 ( Y ) ) ==> complement( join( X, Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3640) {G11,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.98/1.32 complement( join( X, complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (568) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( X,
% 0.98/1.32 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3641) {G2,W14,D6,L1,V3,M1} { meet( complement( join( X, Y ) ), Z
% 0.98/1.32 ) ==> complement( join( join( X, complement( Z ) ), Y ) ) }.
% 0.98/1.32 parent0[0]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.98/1.32 = join( join( Z, X ), Y ) }.
% 0.98/1.32 parent1[0; 8]: (3640) {G11,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 0.98/1.32 ==> complement( join( X, complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := complement( Z )
% 0.98/1.32 Y := Y
% 0.98/1.32 Z := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := join( X, Y )
% 0.98/1.32 Y := Z
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3644) {G2,W14,D6,L1,V3,M1} { complement( join( join( X,
% 0.98/1.32 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 0.98/1.32 parent0[0]: (3641) {G2,W14,D6,L1,V3,M1} { meet( complement( join( X, Y ) )
% 0.98/1.32 , Z ) ==> complement( join( join( X, complement( Z ) ), Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 Z := Z
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1580) {G12,W14,D6,L1,V3,M1} P(16,568) { complement( join(
% 0.98/1.32 join( X, complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z
% 0.98/1.32 ) }.
% 0.98/1.32 parent0: (3644) {G2,W14,D6,L1,V3,M1} { complement( join( join( X,
% 0.98/1.32 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 Z := Z
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3646) {G14,W10,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 0.98/1.32 , Y ) ), join( Y, X ) ) }.
% 0.98/1.32 parent0[0]: (1563) {G14,W10,D5,L1,V2,M1} P(701,568);d(50) { meet(
% 0.98/1.32 complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3652) {G12,W13,D6,L1,V2,M1} { zero ==> meet( complement( join(
% 0.98/1.32 complement( X ), complement( Y ) ) ), complement( meet( Y, X ) ) ) }.
% 0.98/1.32 parent0[0]: (570) {G11,W10,D4,L1,V2,M1} P(3,546) { join( complement( X ),
% 0.98/1.32 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.98/1.32 parent1[0; 9]: (3646) {G14,W10,D5,L1,V2,M1} { zero ==> meet( complement(
% 0.98/1.32 join( X, Y ) ), join( Y, X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := complement( X )
% 0.98/1.32 Y := complement( Y )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3654) {G13,W12,D6,L1,V2,M1} { zero ==> complement( join( join(
% 0.98/1.32 complement( X ), complement( Y ) ), meet( Y, X ) ) ) }.
% 0.98/1.32 parent0[0]: (1578) {G12,W10,D4,L1,V2,M1} P(546,568) { meet( complement( Y )
% 0.98/1.32 , complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.98/1.32 parent1[0; 2]: (3652) {G12,W13,D6,L1,V2,M1} { zero ==> meet( complement(
% 0.98/1.32 join( complement( X ), complement( Y ) ) ), complement( meet( Y, X ) ) )
% 0.98/1.32 }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := meet( Y, X )
% 0.98/1.32 Y := join( complement( X ), complement( Y ) )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3655) {G13,W11,D6,L1,V2,M1} { zero ==> meet( complement( join(
% 0.98/1.32 complement( X ), meet( Y, X ) ) ), Y ) }.
% 0.98/1.32 parent0[0]: (1580) {G12,W14,D6,L1,V3,M1} P(16,568) { complement( join( join
% 0.98/1.32 ( X, complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z )
% 0.98/1.32 }.
% 0.98/1.32 parent1[0; 2]: (3654) {G13,W12,D6,L1,V2,M1} { zero ==> complement( join(
% 0.98/1.32 join( complement( X ), complement( Y ) ), meet( Y, X ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := complement( X )
% 0.98/1.32 Y := meet( Y, X )
% 0.98/1.32 Z := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3656) {G12,W10,D6,L1,V2,M1} { zero ==> meet( meet( X, complement
% 0.98/1.32 ( meet( Y, X ) ) ), Y ) }.
% 0.98/1.32 parent0[0]: (569) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join(
% 0.98/1.32 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.98/1.32 parent1[0; 3]: (3655) {G13,W11,D6,L1,V2,M1} { zero ==> meet( complement(
% 0.98/1.32 join( complement( X ), meet( Y, X ) ) ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := meet( Y, X )
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3657) {G12,W10,D6,L1,V2,M1} { meet( meet( X, complement( meet( Y
% 0.98/1.32 , X ) ) ), Y ) ==> zero }.
% 0.98/1.32 parent0[0]: (3656) {G12,W10,D6,L1,V2,M1} { zero ==> meet( meet( X,
% 0.98/1.32 complement( meet( Y, X ) ) ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (1923) {G15,W10,D6,L1,V2,M1} P(570,1563);d(1578);d(1580);d(569
% 0.98/1.32 ) { meet( meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 0.98/1.32 parent0: (3657) {G12,W10,D6,L1,V2,M1} { meet( meet( X, complement( meet( Y
% 0.98/1.32 , X ) ) ), Y ) ==> zero }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3659) {G14,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 0.98/1.32 ) ), meet( Y, X ) ) }.
% 0.98/1.32 parent0[0]: (1296) {G14,W10,D5,L1,V2,M1} P(1251,0) { join( meet( Y,
% 0.98/1.32 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3663) {G15,W13,D8,L1,V2,M1} { X ==> join( meet( X, complement(
% 0.98/1.32 meet( Y, complement( meet( X, Y ) ) ) ) ), zero ) }.
% 0.98/1.32 parent0[0]: (1923) {G15,W10,D6,L1,V2,M1} P(570,1563);d(1578);d(1580);d(569)
% 0.98/1.32 { meet( meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 0.98/1.32 parent1[0; 12]: (3659) {G14,W10,D5,L1,V2,M1} { X ==> join( meet( X,
% 0.98/1.32 complement( Y ) ), meet( Y, X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := meet( Y, complement( meet( X, Y ) ) )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3664) {G11,W11,D7,L1,V2,M1} { X ==> meet( X, complement( meet( Y
% 0.98/1.32 , complement( meet( X, Y ) ) ) ) ) }.
% 0.98/1.32 parent0[0]: (549) {G10,W5,D3,L1,V1,M1} P(540,298) { join( X, zero ) ==> X
% 0.98/1.32 }.
% 0.98/1.32 parent1[0; 2]: (3663) {G15,W13,D8,L1,V2,M1} { X ==> join( meet( X,
% 0.98/1.32 complement( meet( Y, complement( meet( X, Y ) ) ) ) ), zero ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := meet( X, complement( meet( Y, complement( meet( X, Y ) ) ) ) )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3665) {G12,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement( Y
% 0.98/1.32 ), meet( X, Y ) ) ) }.
% 0.98/1.32 parent0[0]: (916) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet( Y,
% 0.98/1.32 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 0.98/1.32 parent1[0; 4]: (3664) {G11,W11,D7,L1,V2,M1} { X ==> meet( X, complement(
% 0.98/1.32 meet( Y, complement( meet( X, Y ) ) ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := meet( X, Y )
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3666) {G12,W10,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 0.98/1.32 meet( X, Y ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (3665) {G12,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement
% 0.98/1.32 ( Y ), meet( X, Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2567) {G16,W10,D5,L1,V2,M1} P(1923,1296);d(549);d(916) { meet
% 0.98/1.32 ( Y, join( complement( X ), meet( Y, X ) ) ) ==> Y }.
% 0.98/1.32 parent0: (3666) {G12,W10,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 0.98/1.32 meet( X, Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3667) {G16,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement( Y
% 0.98/1.32 ), meet( X, Y ) ) ) }.
% 0.98/1.32 parent0[0]: (2567) {G16,W10,D5,L1,V2,M1} P(1923,1296);d(549);d(916) { meet
% 0.98/1.32 ( Y, join( complement( X ), meet( Y, X ) ) ) ==> Y }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3668) {G1,W10,D5,L1,V2,M1} { X ==> meet( X, join( meet( X, Y ),
% 0.98/1.32 complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.98/1.32 parent1[0; 4]: (3667) {G16,W10,D5,L1,V2,M1} { X ==> meet( X, join(
% 0.98/1.32 complement( Y ), meet( X, Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := complement( Y )
% 0.98/1.32 Y := meet( X, Y )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3671) {G1,W10,D5,L1,V2,M1} { meet( X, join( meet( X, Y ),
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (3668) {G1,W10,D5,L1,V2,M1} { X ==> meet( X, join( meet( X, Y
% 0.98/1.32 ), complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2594) {G17,W10,D5,L1,V2,M1} P(0,2567) { meet( Y, join( meet(
% 0.98/1.32 Y, X ), complement( X ) ) ) ==> Y }.
% 0.98/1.32 parent0: (3671) {G1,W10,D5,L1,V2,M1} { meet( X, join( meet( X, Y ),
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3673) {G12,W10,D5,L1,V2,M1} { join( X, complement( Y ) ) ==>
% 0.98/1.32 complement( meet( complement( X ), Y ) ) }.
% 0.98/1.32 parent0[0]: (915) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet(
% 0.98/1.32 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3678) {G13,W14,D7,L1,V2,M1} { join( X, complement( join( meet(
% 0.98/1.32 complement( X ), Y ), complement( Y ) ) ) ) ==> complement( complement( X
% 0.98/1.32 ) ) }.
% 0.98/1.32 parent0[0]: (2594) {G17,W10,D5,L1,V2,M1} P(0,2567) { meet( Y, join( meet( Y
% 0.98/1.32 , X ), complement( X ) ) ) ==> Y }.
% 0.98/1.32 parent1[0; 12]: (3673) {G12,W10,D5,L1,V2,M1} { join( X, complement( Y ) )
% 0.98/1.32 ==> complement( meet( complement( X ), Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := complement( X )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := join( meet( complement( X ), Y ), complement( Y ) )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3679) {G11,W12,D7,L1,V2,M1} { join( X, complement( join( meet(
% 0.98/1.32 complement( X ), Y ), complement( Y ) ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 11]: (3678) {G13,W14,D7,L1,V2,M1} { join( X, complement( join(
% 0.98/1.32 meet( complement( X ), Y ), complement( Y ) ) ) ) ==> complement(
% 0.98/1.32 complement( X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3680) {G12,W11,D7,L1,V2,M1} { join( X, meet( complement( meet(
% 0.98/1.32 complement( X ), Y ) ), Y ) ) ==> X }.
% 0.98/1.32 parent0[0]: (568) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join( X,
% 0.98/1.32 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.98/1.32 parent1[0; 3]: (3679) {G11,W12,D7,L1,V2,M1} { join( X, complement( join(
% 0.98/1.32 meet( complement( X ), Y ), complement( Y ) ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := meet( complement( X ), Y )
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3681) {G13,W10,D6,L1,V2,M1} { join( X, meet( join( X, complement
% 0.98/1.32 ( Y ) ), Y ) ) ==> X }.
% 0.98/1.32 parent0[0]: (915) {G12,W10,D5,L1,V2,M1} P(546,570) { complement( meet(
% 0.98/1.32 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.98/1.32 parent1[0; 4]: (3680) {G12,W11,D7,L1,V2,M1} { join( X, meet( complement(
% 0.98/1.32 meet( complement( X ), Y ) ), Y ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2681) {G18,W10,D6,L1,V2,M1} P(2594,915);d(546);d(568);d(915)
% 0.98/1.32 { join( X, meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 0.98/1.32 parent0: (3681) {G13,W10,D6,L1,V2,M1} { join( X, meet( join( X, complement
% 0.98/1.32 ( Y ) ), Y ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3684) {G18,W10,D6,L1,V2,M1} { X ==> join( X, meet( join( X,
% 0.98/1.32 complement( Y ) ), Y ) ) }.
% 0.98/1.32 parent0[0]: (2681) {G18,W10,D6,L1,V2,M1} P(2594,915);d(546);d(568);d(915)
% 0.98/1.32 { join( X, meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3685) {G11,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X, Y )
% 0.98/1.32 , complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 7]: (3684) {G18,W10,D6,L1,V2,M1} { X ==> join( X, meet( join( X
% 0.98/1.32 , complement( Y ) ), Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := complement( Y )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3686) {G11,W10,D5,L1,V2,M1} { join( X, meet( join( X, Y ),
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (3685) {G11,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X, Y
% 0.98/1.32 ), complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2731) {G19,W10,D5,L1,V2,M1} P(546,2681) { join( Y, meet( join
% 0.98/1.32 ( Y, X ), complement( X ) ) ) ==> Y }.
% 0.98/1.32 parent0: (3686) {G11,W10,D5,L1,V2,M1} { join( X, meet( join( X, Y ),
% 0.98/1.32 complement( Y ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3688) {G19,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X, Y ),
% 0.98/1.32 complement( Y ) ) ) }.
% 0.98/1.32 parent0[0]: (2731) {G19,W10,D5,L1,V2,M1} P(546,2681) { join( Y, meet( join
% 0.98/1.32 ( Y, X ), complement( X ) ) ) ==> Y }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3690) {G7,W11,D8,L1,V1,M1} { X ==> join( X, meet( top,
% 0.98/1.32 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 0.98/1.32 parent0[0]: (1009) {G6,W8,D6,L1,V1,M1} S(192);d(430) { join( X, converse(
% 0.98/1.32 complement( converse( X ) ) ) ) ==> top }.
% 0.98/1.32 parent1[0; 5]: (3688) {G19,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X
% 0.98/1.32 , Y ), complement( Y ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := converse( complement( converse( X ) ) )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3691) {G8,W9,D7,L1,V1,M1} { X ==> join( X, complement( converse
% 0.98/1.32 ( complement( converse( X ) ) ) ) ) }.
% 0.98/1.32 parent0[0]: (578) {G11,W5,D3,L1,V1,M1} S(545);d(546) { meet( top, X ) ==> X
% 0.98/1.32 }.
% 0.98/1.32 parent1[0; 4]: (3690) {G7,W11,D8,L1,V1,M1} { X ==> join( X, meet( top,
% 0.98/1.32 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := complement( converse( complement( converse( X ) ) ) )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3692) {G8,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 0.98/1.32 complement( converse( X ) ) ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (3691) {G8,W9,D7,L1,V1,M1} { X ==> join( X, complement(
% 0.98/1.32 converse( complement( converse( X ) ) ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2937) {G20,W9,D7,L1,V1,M1} P(1009,2731);d(578) { join( X,
% 0.98/1.32 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.98/1.32 parent0: (3692) {G8,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 0.98/1.32 complement( converse( X ) ) ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3694) {G11,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.98/1.32 complement( join( complement( X ), Y ) ) }.
% 0.98/1.32 parent0[0]: (569) {G11,W10,D5,L1,V2,M1} P(546,3) { complement( join(
% 0.98/1.32 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := Y
% 0.98/1.32 Y := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3697) {G12,W13,D9,L1,V1,M1} { meet( X, complement( complement(
% 0.98/1.32 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==>
% 0.98/1.32 complement( complement( X ) ) }.
% 0.98/1.32 parent0[0]: (2937) {G20,W9,D7,L1,V1,M1} P(1009,2731);d(578) { join( X,
% 0.98/1.32 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.98/1.32 parent1[0; 11]: (3694) {G11,W10,D5,L1,V2,M1} { meet( X, complement( Y ) )
% 0.98/1.32 ==> complement( join( complement( X ), Y ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := complement( X )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := complement( converse( complement( converse( complement( X ) ) ) ) )
% 0.98/1.32
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3699) {G11,W11,D9,L1,V1,M1} { meet( X, complement( complement(
% 0.98/1.32 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 10]: (3697) {G12,W13,D9,L1,V1,M1} { meet( X, complement(
% 0.98/1.32 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 0.98/1.32 ==> complement( complement( X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3701) {G11,W9,D7,L1,V1,M1} { meet( X, converse( complement(
% 0.98/1.32 converse( complement( X ) ) ) ) ) ==> X }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 3]: (3699) {G11,W11,D9,L1,V1,M1} { meet( X, complement(
% 0.98/1.32 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 0.98/1.32 ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := converse( complement( converse( complement( X ) ) ) )
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2963) {G21,W9,D7,L1,V1,M1} P(2937,569);d(546);d(546) { meet(
% 0.98/1.32 X, converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.98/1.32 parent0: (3701) {G11,W9,D7,L1,V1,M1} { meet( X, converse( complement(
% 0.98/1.32 converse( complement( X ) ) ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3704) {G20,W9,D7,L1,V1,M1} { X ==> join( X, complement( converse
% 0.98/1.32 ( complement( converse( X ) ) ) ) ) }.
% 0.98/1.32 parent0[0]: (2937) {G20,W9,D7,L1,V1,M1} P(1009,2731);d(578) { join( X,
% 0.98/1.32 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3705) {G1,W10,D6,L1,V1,M1} { converse( X ) ==> join( converse( X
% 0.98/1.32 ), complement( converse( complement( X ) ) ) ) }.
% 0.98/1.32 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 9]: (3704) {G20,W9,D7,L1,V1,M1} { X ==> join( X, complement(
% 0.98/1.32 converse( complement( converse( X ) ) ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := converse( X )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3706) {G1,W10,D6,L1,V1,M1} { join( converse( X ), complement(
% 0.98/1.32 converse( complement( X ) ) ) ) ==> converse( X ) }.
% 0.98/1.32 parent0[0]: (3705) {G1,W10,D6,L1,V1,M1} { converse( X ) ==> join( converse
% 0.98/1.32 ( X ), complement( converse( complement( X ) ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (2987) {G21,W10,D6,L1,V1,M1} P(7,2937) { join( converse( X ),
% 0.98/1.32 complement( converse( complement( X ) ) ) ) ==> converse( X ) }.
% 0.98/1.32 parent0: (3706) {G1,W10,D6,L1,V1,M1} { join( converse( X ), complement(
% 0.98/1.32 converse( complement( X ) ) ) ) ==> converse( X ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3708) {G17,W9,D6,L1,V2,M1} { Y ==> join( converse( meet( X,
% 0.98/1.32 converse( Y ) ) ), Y ) }.
% 0.98/1.32 parent0[0]: (632) {G17,W9,D6,L1,V2,M1} P(630,40);d(7) { join( converse(
% 0.98/1.32 meet( X, converse( Y ) ) ), Y ) ==> Y }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 Y := Y
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3710) {G18,W12,D6,L1,V1,M1} { complement( converse( complement(
% 0.98/1.32 X ) ) ) ==> join( converse( X ), complement( converse( complement( X ) )
% 0.98/1.32 ) ) }.
% 0.98/1.32 parent0[0]: (2963) {G21,W9,D7,L1,V1,M1} P(2937,569);d(546);d(546) { meet( X
% 0.98/1.32 , converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.98/1.32 parent1[0; 7]: (3708) {G17,W9,D6,L1,V2,M1} { Y ==> join( converse( meet( X
% 0.98/1.32 , converse( Y ) ) ), Y ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 Y := complement( converse( complement( X ) ) )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3711) {G19,W7,D5,L1,V1,M1} { complement( converse( complement( X
% 0.98/1.32 ) ) ) ==> converse( X ) }.
% 0.98/1.32 parent0[0]: (2987) {G21,W10,D6,L1,V1,M1} P(7,2937) { join( converse( X ),
% 0.98/1.32 complement( converse( complement( X ) ) ) ) ==> converse( X ) }.
% 0.98/1.32 parent1[0; 5]: (3710) {G18,W12,D6,L1,V1,M1} { complement( converse(
% 0.98/1.32 complement( X ) ) ) ==> join( converse( X ), complement( converse(
% 0.98/1.32 complement( X ) ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (3015) {G22,W7,D5,L1,V1,M1} P(2963,632);d(2987) { complement(
% 0.98/1.32 converse( complement( X ) ) ) ==> converse( X ) }.
% 0.98/1.32 parent0: (3711) {G19,W7,D5,L1,V1,M1} { complement( converse( complement( X
% 0.98/1.32 ) ) ) ==> converse( X ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3713) {G22,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 0.98/1.32 converse( complement( X ) ) ) }.
% 0.98/1.32 parent0[0]: (3015) {G22,W7,D5,L1,V1,M1} P(2963,632);d(2987) { complement(
% 0.98/1.32 converse( complement( X ) ) ) ==> converse( X ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 paramod: (3715) {G11,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 0.98/1.32 complement( converse( X ) ) }.
% 0.98/1.32 parent0[0]: (546) {G10,W5,D4,L1,V1,M1} P(51,535);d(451);d(545) { complement
% 0.98/1.32 ( complement( X ) ) ==> X }.
% 0.98/1.32 parent1[0; 6]: (3713) {G22,W7,D5,L1,V1,M1} { converse( X ) ==> complement
% 0.98/1.32 ( converse( complement( X ) ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := complement( X )
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (3088) {G23,W7,D4,L1,V1,M1} P(3015,546) { converse( complement
% 0.98/1.32 ( X ) ) ==> complement( converse( X ) ) }.
% 0.98/1.32 parent0: (3715) {G11,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 0.98/1.32 complement( converse( X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 0 ==> 0
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3717) {G23,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.98/1.32 converse( complement( X ) ) }.
% 0.98/1.32 parent0[0]: (3088) {G23,W7,D4,L1,V1,M1} P(3015,546) { converse( complement
% 0.98/1.32 ( X ) ) ==> complement( converse( X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 X := X
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 eqswap: (3718) {G0,W7,D4,L1,V0,M1} { ! complement( converse( skol1 ) ) ==>
% 0.98/1.32 converse( complement( skol1 ) ) }.
% 0.98/1.32 parent0[0]: (13) {G0,W7,D4,L1,V0,M1} I { ! converse( complement( skol1 ) )
% 0.98/1.32 ==> complement( converse( skol1 ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 resolution: (3719) {G1,W0,D0,L0,V0,M0} { }.
% 0.98/1.32 parent0[0]: (3718) {G0,W7,D4,L1,V0,M1} { ! complement( converse( skol1 ) )
% 0.98/1.32 ==> converse( complement( skol1 ) ) }.
% 0.98/1.32 parent1[0]: (3717) {G23,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.98/1.32 converse( complement( X ) ) }.
% 0.98/1.32 substitution0:
% 0.98/1.32 end
% 0.98/1.32 substitution1:
% 0.98/1.32 X := skol1
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 subsumption: (3090) {G24,W0,D0,L0,V0,M0} R(3088,13) { }.
% 0.98/1.32 parent0: (3719) {G1,W0,D0,L0,V0,M0} { }.
% 0.98/1.32 substitution0:
% 0.98/1.32 end
% 0.98/1.32 permutation0:
% 0.98/1.32 end
% 0.98/1.32
% 0.98/1.32 Proof check complete!
% 0.98/1.32
% 0.98/1.32 Memory use:
% 0.98/1.32
% 0.98/1.32 space for terms: 38672
% 0.98/1.32 space for clauses: 333379
% 0.98/1.32
% 0.98/1.32
% 0.98/1.32 clauses generated: 50938
% 0.98/1.32 clauses kept: 3091
% 0.98/1.32 clauses selected: 387
% 0.98/1.32 clauses deleted: 292
% 0.98/1.32 clauses inuse deleted: 117
% 0.98/1.32
% 0.98/1.32 subsentry: 5109
% 0.98/1.32 literals s-matched: 3286
% 0.98/1.32 literals matched: 3153
% 0.98/1.32 full subsumption: 0
% 0.98/1.32
% 0.98/1.32 checksum: -7410803
% 0.98/1.32
% 0.98/1.32
% 0.98/1.32 Bliksem ended
%------------------------------------------------------------------------------