%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL005+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 18:59:51 EDT 2022
% Result : Theorem 4.87s 5.29s
% Output : Refutation 4.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL005+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jul 8 08:34:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.87/5.29 *** allocated 10000 integers for termspace/termends
% 4.87/5.29 *** allocated 10000 integers for clauses
% 4.87/5.29 *** allocated 10000 integers for justifications
% 4.87/5.29 Bliksem 1.12
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Automatic Strategy Selection
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Clauses:
% 4.87/5.29
% 4.87/5.29 { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 4.87/5.29 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 4.87/5.29 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.29 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.29 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 4.87/5.29 , Z ) }.
% 4.87/5.29 { composition( X, one ) = X }.
% 4.87/5.29 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 4.87/5.29 Y, Z ) ) }.
% 4.87/5.29 { converse( converse( X ) ) = X }.
% 4.87/5.29 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 4.87/5.29 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 4.87/5.29 ) ) }.
% 4.87/5.29 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 4.87/5.29 complement( Y ) ) = complement( Y ) }.
% 4.87/5.29 { top = join( X, complement( X ) ) }.
% 4.87/5.29 { zero = meet( X, complement( X ) ) }.
% 4.87/5.29 { ! join( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ),
% 4.87/5.29 converse( skol2 ) ) ) = meet( converse( skol1 ), converse( skol2 ) ), !
% 4.87/5.29 join( meet( converse( skol1 ), converse( skol2 ) ), converse( meet( skol1
% 4.87/5.29 , skol2 ) ) ) = converse( meet( skol1, skol2 ) ) }.
% 4.87/5.29
% 4.87/5.29 percentage equality = 1.000000, percentage horn = 1.000000
% 4.87/5.29 This is a pure equality problem
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Options Used:
% 4.87/5.29
% 4.87/5.29 useres = 1
% 4.87/5.29 useparamod = 1
% 4.87/5.29 useeqrefl = 1
% 4.87/5.29 useeqfact = 1
% 4.87/5.29 usefactor = 1
% 4.87/5.29 usesimpsplitting = 0
% 4.87/5.29 usesimpdemod = 5
% 4.87/5.29 usesimpres = 3
% 4.87/5.29
% 4.87/5.29 resimpinuse = 1000
% 4.87/5.29 resimpclauses = 20000
% 4.87/5.29 substype = eqrewr
% 4.87/5.29 backwardsubs = 1
% 4.87/5.29 selectoldest = 5
% 4.87/5.29
% 4.87/5.29 litorderings [0] = split
% 4.87/5.29 litorderings [1] = extend the termordering, first sorting on arguments
% 4.87/5.29
% 4.87/5.29 termordering = kbo
% 4.87/5.29
% 4.87/5.29 litapriori = 0
% 4.87/5.29 termapriori = 1
% 4.87/5.29 litaposteriori = 0
% 4.87/5.29 termaposteriori = 0
% 4.87/5.29 demodaposteriori = 0
% 4.87/5.29 ordereqreflfact = 0
% 4.87/5.29
% 4.87/5.29 litselect = negord
% 4.87/5.29
% 4.87/5.29 maxweight = 15
% 4.87/5.29 maxdepth = 30000
% 4.87/5.29 maxlength = 115
% 4.87/5.29 maxnrvars = 195
% 4.87/5.29 excuselevel = 1
% 4.87/5.29 increasemaxweight = 1
% 4.87/5.29
% 4.87/5.29 maxselected = 10000000
% 4.87/5.29 maxnrclauses = 10000000
% 4.87/5.29
% 4.87/5.29 showgenerated = 0
% 4.87/5.29 showkept = 0
% 4.87/5.29 showselected = 0
% 4.87/5.29 showdeleted = 0
% 4.87/5.29 showresimp = 1
% 4.87/5.29 showstatus = 2000
% 4.87/5.29
% 4.87/5.29 prologoutput = 0
% 4.87/5.29 nrgoals = 5000000
% 4.87/5.29 totalproof = 1
% 4.87/5.29
% 4.87/5.29 Symbols occurring in the translation:
% 4.87/5.29
% 4.87/5.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.87/5.29 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 4.87/5.29 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 4.87/5.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.87/5.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.87/5.29 join [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 4.87/5.29 complement [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 4.87/5.29 meet [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.87/5.29 composition [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 4.87/5.29 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.87/5.29 converse [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.87/5.29 top [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.87/5.29 zero [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.87/5.29 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 4.87/5.29 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1).
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Starting Search:
% 4.87/5.29
% 4.87/5.29 *** allocated 15000 integers for clauses
% 4.87/5.29 *** allocated 22500 integers for clauses
% 4.87/5.29 *** allocated 33750 integers for clauses
% 4.87/5.29 *** allocated 50625 integers for clauses
% 4.87/5.29 *** allocated 75937 integers for clauses
% 4.87/5.29 *** allocated 113905 integers for clauses
% 4.87/5.29 *** allocated 15000 integers for termspace/termends
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 170857 integers for clauses
% 4.87/5.29 *** allocated 22500 integers for termspace/termends
% 4.87/5.29 *** allocated 256285 integers for clauses
% 4.87/5.29 *** allocated 33750 integers for termspace/termends
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 28898
% 4.87/5.29 Kept: 2006
% 4.87/5.29 Inuse: 302
% 4.87/5.29 Deleted: 211
% 4.87/5.29 Deletedinuse: 78
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 384427 integers for clauses
% 4.87/5.29 *** allocated 50625 integers for termspace/termends
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 576640 integers for clauses
% 4.87/5.29 *** allocated 75937 integers for termspace/termends
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 77390
% 4.87/5.29 Kept: 4021
% 4.87/5.29 Inuse: 454
% 4.87/5.29 Deleted: 352
% 4.87/5.29 Deletedinuse: 113
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 864960 integers for clauses
% 4.87/5.29 *** allocated 113905 integers for termspace/termends
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 115398
% 4.87/5.29 Kept: 6025
% 4.87/5.29 Inuse: 579
% 4.87/5.29 Deleted: 402
% 4.87/5.29 Deletedinuse: 114
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 174384
% 4.87/5.29 Kept: 8059
% 4.87/5.29 Inuse: 732
% 4.87/5.29 Deleted: 445
% 4.87/5.29 Deletedinuse: 117
% 4.87/5.29
% 4.87/5.29 *** allocated 1297440 integers for clauses
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 170857 integers for termspace/termends
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 234901
% 4.87/5.29 Kept: 10066
% 4.87/5.29 Inuse: 865
% 4.87/5.29 Deleted: 527
% 4.87/5.29 Deletedinuse: 137
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 309769
% 4.87/5.29 Kept: 12068
% 4.87/5.29 Inuse: 956
% 4.87/5.29 Deleted: 569
% 4.87/5.29 Deletedinuse: 164
% 4.87/5.29
% 4.87/5.29 *** allocated 1946160 integers for clauses
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 256285 integers for termspace/termends
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 398781
% 4.87/5.29 Kept: 14073
% 4.87/5.29 Inuse: 1100
% 4.87/5.29 Deleted: 630
% 4.87/5.29 Deletedinuse: 165
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 528861
% 4.87/5.29 Kept: 16106
% 4.87/5.29 Inuse: 1289
% 4.87/5.29 Deleted: 749
% 4.87/5.29 Deletedinuse: 165
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 2919240 integers for clauses
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 602649
% 4.87/5.29 Kept: 18124
% 4.87/5.29 Inuse: 1403
% 4.87/5.29 Deleted: 814
% 4.87/5.29 Deletedinuse: 176
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 *** allocated 384427 integers for termspace/termends
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying clauses:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 703755
% 4.87/5.29 Kept: 20147
% 4.87/5.29 Inuse: 1480
% 4.87/5.29 Deleted: 3737
% 4.87/5.29 Deletedinuse: 176
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 819847
% 4.87/5.29 Kept: 22166
% 4.87/5.29 Inuse: 1569
% 4.87/5.29 Deleted: 3737
% 4.87/5.29 Deletedinuse: 176
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Intermediate Status:
% 4.87/5.29 Generated: 1080292
% 4.87/5.29 Kept: 24189
% 4.87/5.29 Inuse: 1763
% 4.87/5.29 Deleted: 3741
% 4.87/5.29 Deletedinuse: 176
% 4.87/5.29
% 4.87/5.29 Resimplifying inuse:
% 4.87/5.29 Done
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Bliksems!, er is een bewijs:
% 4.87/5.29 % SZS status Theorem
% 4.87/5.29 % SZS output start Refutation
% 4.87/5.29
% 4.87/5.29 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 4.87/5.29 , Z ) }.
% 4.87/5.29 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 4.87/5.29 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.29 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 4.87/5.29 ( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.29 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 4.87/5.29 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.29 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 4.87/5.29 converse( join( X, Y ) ) }.
% 4.87/5.29 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 4.87/5.29 ==> converse( composition( X, Y ) ) }.
% 4.87/5.29 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 4.87/5.29 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 4.87/5.29 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 4.87/5.29 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 4.87/5.29 (13) {G0,W31,D5,L2,V0,M2} I { ! join( converse( meet( skol1, skol2 ) ),
% 4.87/5.29 meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet( converse( skol1
% 4.87/5.29 ), converse( skol2 ) ), ! join( meet( converse( skol1 ), converse( skol2
% 4.87/5.29 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2
% 4.87/5.29 ) ) }.
% 4.87/5.29 (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 4.87/5.29 (15) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) = join( join( Y
% 4.87/5.29 , Z ), X ) }.
% 4.87/5.29 (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 4.87/5.29 join( Z, X ), Y ) }.
% 4.87/5.29 (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 4.87/5.29 ==> join( Y, top ) }.
% 4.87/5.29 (20) {G2,W13,D5,L1,V2,M1} P(17,17) { join( join( X, top ), complement(
% 4.87/5.29 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 4.87/5.29 (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z ),
% 4.87/5.29 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 4.87/5.29 (22) {G2,W10,D5,L1,V2,M1} P(17,0);d(1) { join( join( complement( Y ), X ),
% 4.87/5.29 Y ) ==> join( X, top ) }.
% 4.87/5.29 (23) {G2,W10,D4,L1,V2,M1} P(0,17) { join( join( Y, X ), complement( Y ) )
% 4.87/5.29 ==> join( X, top ) }.
% 4.87/5.29 (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement( complement( X )
% 4.87/5.29 ) ) ==> join( X, top ) }.
% 4.87/5.29 (25) {G3,W9,D5,L1,V1,M1} P(24,0) { join( complement( complement( X ) ), top
% 4.87/5.29 ) ==> join( X, top ) }.
% 4.87/5.29 (26) {G4,W13,D6,L1,V2,M1} P(25,1);d(1) { join( join( Y, complement(
% 4.87/5.29 complement( X ) ) ), top ) ==> join( join( Y, X ), top ) }.
% 4.87/5.29 (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 4.87/5.29 ( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.29 (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 4.87/5.29 ) ) ==> composition( converse( Y ), X ) }.
% 4.87/5.29 (39) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 4.87/5.29 join( X, converse( Y ) ) }.
% 4.87/5.29 (40) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse( X ) ) ) ==>
% 4.87/5.29 join( converse( Y ), X ) }.
% 4.87/5.29 (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 4.87/5.29 (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 4.87/5.29 (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero, complement( X )
% 4.87/5.29 ) ) ==> meet( top, X ) }.
% 4.87/5.29 (57) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( complement( X ), zero
% 4.87/5.29 ) ) ==> meet( X, top ) }.
% 4.87/5.29 (62) {G2,W5,D3,L1,V0,M1} P(55,14) { join( zero, top ) ==> top }.
% 4.87/5.29 (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top ) ==> join( X
% 4.87/5.29 , top ) }.
% 4.87/5.29 (75) {G4,W9,D4,L1,V1,M1} P(0,65) { join( join( zero, X ), top ) ==> join( X
% 4.87/5.29 , top ) }.
% 4.87/5.29 (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero, zero ) ) ==>
% 4.87/5.29 meet( top, top ) }.
% 4.87/5.29 (107) {G4,W9,D4,L1,V0,M1} P(92,11) { join( join( zero, zero ), meet( top,
% 4.87/5.29 top ) ) ==> top }.
% 4.87/5.29 (110) {G1,W31,D5,L2,V0,M2} P(0,13) { ! join( converse( meet( skol1, skol2 )
% 4.87/5.29 ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet( converse(
% 4.87/5.29 skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1, skol2 ) ),
% 4.87/5.29 meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse( meet( skol1
% 4.87/5.29 , skol2 ) ) }.
% 4.87/5.29 (129) {G5,W9,D5,L1,V0,M1} P(15,107) { join( join( zero, meet( top, top ) )
% 4.87/5.29 , zero ) ==> top }.
% 4.87/5.29 (145) {G6,W9,D4,L1,V0,M1} P(129,65);d(75) { join( meet( top, top ), top )
% 4.87/5.29 ==> join( top, top ) }.
% 4.87/5.29 (190) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse( complement(
% 4.87/5.29 converse( X ) ) ) ) ==> converse( top ) }.
% 4.87/5.29 (204) {G3,W9,D6,L1,V1,M1} P(190,0) { join( converse( complement( converse(
% 4.87/5.29 X ) ) ), X ) ==> converse( top ) }.
% 4.87/5.29 (279) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse( one ), X )
% 4.87/5.29 ==> X }.
% 4.87/5.29 (289) {G3,W4,D3,L1,V0,M1} P(279,5) { converse( one ) ==> one }.
% 4.87/5.29 (290) {G4,W5,D3,L1,V1,M1} P(289,279) { composition( one, X ) ==> X }.
% 4.87/5.29 (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement( X ),
% 4.87/5.29 complement( X ) ) ==> complement( X ) }.
% 4.87/5.29 (297) {G6,W6,D4,L1,V1,M1} P(294,22);d(14) { join( complement( X ), top )
% 4.87/5.29 ==> top }.
% 4.87/5.29 (298) {G6,W10,D5,L1,V2,M1} P(294,21);d(17) { join( join( Y, complement( X )
% 4.87/5.29 ), top ) ==> join( Y, top ) }.
% 4.87/5.29 (303) {G6,W5,D3,L1,V0,M1} P(55,294) { join( zero, zero ) ==> zero }.
% 4.87/5.29 (304) {G6,W7,D4,L1,V1,M1} P(294,3) { complement( complement( X ) ) = meet(
% 4.87/5.29 X, X ) }.
% 4.87/5.29 (306) {G7,W9,D4,L1,V2,M1} S(26);d(298) { join( join( Y, X ), top ) ==> join
% 4.87/5.29 ( Y, top ) }.
% 4.87/5.29 (312) {G7,W6,D3,L1,V0,M1} P(303,92) { meet( top, top ) ==> complement( zero
% 4.87/5.29 ) }.
% 4.87/5.29 (313) {G8,W5,D3,L1,V0,M1} P(312,145);d(297) { join( top, top ) ==> top }.
% 4.87/5.29 (314) {G9,W5,D3,L1,V1,M1} P(313,20);d(24);d(306);d(313) { join( X, top )
% 4.87/5.29 ==> top }.
% 4.87/5.29 (316) {G10,W4,D3,L1,V0,M1} P(314,204) { converse( top ) ==> top }.
% 4.87/5.29 (317) {G10,W7,D4,L1,V1,M1} P(314,27);d(55) { join( meet( X, top ), zero )
% 4.87/5.29 ==> X }.
% 4.87/5.29 (333) {G10,W8,D5,L1,V2,M1} P(27,23);d(314) { join( X, complement( meet( X,
% 4.87/5.29 Y ) ) ) ==> top }.
% 4.87/5.29 (335) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X ), zero ) ==> X
% 4.87/5.29 }.
% 4.87/5.29 (340) {G2,W7,D4,L1,V1,M1} P(12,27);d(3) { join( zero, meet( X, X ) ) ==> X
% 4.87/5.29 }.
% 4.87/5.29 (350) {G11,W7,D4,L1,V1,M1} P(53,317) { join( meet( top, X ), zero ) ==> X
% 4.87/5.29 }.
% 4.87/5.29 (353) {G11,W7,D4,L1,V1,M1} P(317,0) { join( zero, meet( X, top ) ) ==> X
% 4.87/5.29 }.
% 4.87/5.29 (365) {G12,W7,D4,L1,V1,M1} P(350,0) { join( zero, meet( top, X ) ) ==> X
% 4.87/5.29 }.
% 4.87/5.29 (387) {G7,W7,D4,L1,V1,M1} P(304,57);d(335) { meet( complement( X ), top )
% 4.87/5.29 ==> complement( X ) }.
% 4.87/5.29 (400) {G12,W7,D4,L1,V1,M1} P(387,353) { join( zero, complement( X ) ) ==>
% 4.87/5.29 complement( X ) }.
% 4.87/5.29 (406) {G13,W5,D3,L1,V1,M1} P(304,400);d(340) { meet( X, X ) ==> X }.
% 4.87/5.29 (411) {G13,W7,D4,L1,V1,M1} P(400,56) { meet( top, X ) ==> complement(
% 4.87/5.29 complement( X ) ) }.
% 4.87/5.29 (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement( complement
% 4.87/5.29 ( X ) ) ==> X }.
% 4.87/5.29 (415) {G14,W5,D3,L1,V1,M1} P(406,335) { join( X, zero ) ==> X }.
% 4.87/5.29 (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.29 (423) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( X, complement( Y )
% 4.87/5.29 ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.29 (424) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( complement( Y ), X
% 4.87/5.29 ) ) ==> meet( Y, complement( X ) ) }.
% 4.87/5.29 (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ), complement( Y
% 4.87/5.29 ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.29 (427) {G16,W9,D4,L1,V2,M1} P(421,16);d(1);d(421) { join( join( X, Y ), Y )
% 4.87/5.29 ==> join( X, Y ) }.
% 4.87/5.29 (428) {G16,W9,D4,L1,V2,M1} P(421,16) { join( join( X, Y ), X ) ==> join( X
% 4.87/5.29 , Y ) }.
% 4.87/5.29 (434) {G15,W5,D3,L1,V1,M1} S(411);d(412) { meet( top, X ) ==> X }.
% 4.87/5.29 (464) {G11,W8,D5,L1,V2,M1} P(53,333) { join( X, complement( meet( Y, X ) )
% 4.87/5.29 ) ==> top }.
% 4.87/5.29 (480) {G12,W8,D5,L1,V2,M1} P(464,3);d(55) { meet( X, meet( Y, complement( X
% 4.87/5.29 ) ) ) ==> zero }.
% 4.87/5.29 (483) {G15,W8,D4,L1,V2,M1} P(412,480) { meet( complement( X ), meet( Y, X )
% 4.87/5.29 ) ==> zero }.
% 4.87/5.29 (488) {G16,W8,D4,L1,V2,M1} P(483,53) { meet( meet( Y, X ), complement( X )
% 4.87/5.29 ) ==> zero }.
% 4.87/5.29 (491) {G17,W8,D4,L1,V2,M1} P(53,488) { meet( meet( Y, X ), complement( Y )
% 4.87/5.29 ) ==> zero }.
% 4.87/5.29 (493) {G18,W9,D4,L1,V2,M1} P(491,27);d(400);d(3) { meet( meet( X, Y ), X )
% 4.87/5.29 ==> meet( X, Y ) }.
% 4.87/5.29 (504) {G19,W9,D4,L1,V2,M1} P(493,53) { meet( X, meet( X, Y ) ) ==> meet( X
% 4.87/5.29 , Y ) }.
% 4.87/5.29 (506) {G20,W9,D4,L1,V2,M1} P(53,504) { meet( X, meet( Y, X ) ) ==> meet( Y
% 4.87/5.29 , X ) }.
% 4.87/5.29 (510) {G17,W8,D5,L1,V2,M1} P(27,427);d(424) { join( X, meet( X, complement
% 4.87/5.29 ( Y ) ) ) ==> X }.
% 4.87/5.29 (519) {G18,W7,D4,L1,V2,M1} P(412,510) { join( Y, meet( Y, X ) ) ==> Y }.
% 4.87/5.29 (532) {G21,W7,D4,L1,V2,M1} P(506,519) { join( X, meet( Y, X ) ) ==> X }.
% 4.87/5.29 (574) {G22,W7,D4,L1,V2,M1} P(532,0) { join( meet( Y, X ), X ) ==> X }.
% 4.87/5.29 (577) {G23,W9,D6,L1,V2,M1} P(574,40);d(7) { join( converse( meet( X,
% 4.87/5.29 converse( Y ) ) ), Y ) ==> Y }.
% 4.87/5.29 (583) {G17,W10,D5,L1,V2,M1} P(428,21);d(314) { join( join( X, Y ),
% 4.87/5.29 complement( join( Y, X ) ) ) ==> top }.
% 4.87/5.29 (795) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet( complement( X )
% 4.87/5.29 , Y ) ) ==> join( X, complement( Y ) ) }.
% 4.87/5.29 (796) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet( Y, complement( X
% 4.87/5.29 ) ) ) ==> join( complement( Y ), X ) }.
% 4.87/5.29 (1002) {G16,W10,D5,L1,V2,M1} S(27);d(424) { join( meet( X, Y ), meet( X,
% 4.87/5.29 complement( Y ) ) ) ==> X }.
% 4.87/5.29 (1007) {G11,W8,D6,L1,V1,M1} S(190);d(316) { join( X, converse( complement(
% 4.87/5.29 converse( X ) ) ) ) ==> top }.
% 4.87/5.29 (1174) {G17,W10,D5,L1,V2,M1} P(53,1002) { join( meet( Y, X ), meet( X,
% 4.87/5.29 complement( Y ) ) ) ==> X }.
% 4.87/5.29 (1226) {G18,W10,D5,L1,V2,M1} P(1174,0) { join( meet( Y, complement( X ) ),
% 4.87/5.29 meet( X, Y ) ) ==> Y }.
% 4.87/5.29 (1413) {G18,W10,D5,L1,V2,M1} P(583,423);d(55) { meet( complement( join( X,
% 4.87/5.29 Y ) ), join( Y, X ) ) ==> zero }.
% 4.87/5.29 (1428) {G16,W10,D4,L1,V2,M1} P(412,423) { meet( complement( Y ), complement
% 4.87/5.29 ( X ) ) ==> complement( join( Y, X ) ) }.
% 4.87/5.29 (1430) {G16,W14,D6,L1,V3,M1} P(16,423) { complement( join( join( X,
% 4.87/5.29 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 4.87/5.29 (1743) {G19,W10,D6,L1,V2,M1} P(425,1413);d(1428);d(1430);d(424) { meet(
% 4.87/5.29 meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 4.87/5.29 (2148) {G20,W10,D5,L1,V2,M1} P(1743,1226);d(415);d(796) { meet( Y, join(
% 4.87/5.29 complement( X ), meet( Y, X ) ) ) ==> Y }.
% 4.87/5.29 (2172) {G21,W10,D5,L1,V2,M1} P(0,2148) { meet( Y, join( meet( Y, X ),
% 4.87/5.29 complement( X ) ) ) ==> Y }.
% 4.87/5.29 (2246) {G22,W10,D6,L1,V2,M1} P(2172,795);d(412);d(423);d(795) { join( X,
% 4.87/5.29 meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 4.87/5.29 (2290) {G23,W10,D5,L1,V2,M1} P(412,2246) { join( Y, meet( join( Y, X ),
% 4.87/5.29 complement( X ) ) ) ==> Y }.
% 4.87/5.29 (2479) {G24,W9,D7,L1,V1,M1} P(1007,2290);d(434) { join( X, complement(
% 4.87/5.29 converse( complement( converse( X ) ) ) ) ) ==> X }.
% 4.87/5.29 (2499) {G25,W9,D7,L1,V1,M1} P(2479,424);d(412);d(412) { meet( X, converse(
% 4.87/5.29 complement( converse( complement( X ) ) ) ) ) ==> X }.
% 4.87/5.29 (2527) {G25,W10,D6,L1,V1,M1} P(7,2479) { join( converse( X ), complement(
% 4.87/5.29 converse( complement( X ) ) ) ) ==> converse( X ) }.
% 4.87/5.29 (2553) {G26,W7,D5,L1,V1,M1} P(2499,577);d(2527) { complement( converse(
% 4.87/5.29 complement( X ) ) ) ==> converse( X ) }.
% 4.87/5.29 (2622) {G27,W7,D4,L1,V1,M1} P(2553,412) { converse( complement( X ) ) ==>
% 4.87/5.29 complement( converse( X ) ) }.
% 4.87/5.29 (2649) {G28,W12,D5,L1,V2,M1} P(2622,8) { join( complement( converse( X ) )
% 4.87/5.29 , converse( Y ) ) ==> converse( join( complement( X ), Y ) ) }.
% 4.87/5.29 (24914) {G29,W12,D5,L1,V2,M1} P(2622,2649);d(425);d(425);d(2622) {
% 4.87/5.29 complement( meet( converse( Y ), converse( X ) ) ) ==> complement(
% 4.87/5.29 converse( meet( Y, X ) ) ) }.
% 4.87/5.29 (25006) {G30,W10,D4,L1,V2,M1} P(24914,412);d(412) { meet( converse( X ),
% 4.87/5.29 converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.29 (25124) {G31,W0,D0,L0,V0,M0} P(25006,110);f;d(421);q { }.
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 % SZS output end Refutation
% 4.87/5.29 found a proof!
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Unprocessed initial clauses:
% 4.87/5.29
% 4.87/5.29 (25126) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 (25127) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y
% 4.87/5.29 ), Z ) }.
% 4.87/5.29 (25128) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 4.87/5.29 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.29 (25129) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 4.87/5.29 ( X ), complement( Y ) ) ) }.
% 4.87/5.29 (25130) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 4.87/5.29 composition( composition( X, Y ), Z ) }.
% 4.87/5.29 (25131) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 4.87/5.29 (25132) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 4.87/5.29 composition( X, Z ), composition( Y, Z ) ) }.
% 4.87/5.29 (25133) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 4.87/5.29 (25134) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse(
% 4.87/5.29 X ), converse( Y ) ) }.
% 4.87/5.29 (25135) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 4.87/5.29 composition( converse( Y ), converse( X ) ) }.
% 4.87/5.29 (25136) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 4.87/5.29 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 4.87/5.29 }.
% 4.87/5.29 (25137) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 4.87/5.29 (25138) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 4.87/5.29 (25139) {G0,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1, skol2 ) ),
% 4.87/5.29 meet( converse( skol1 ), converse( skol2 ) ) ) = meet( converse( skol1 )
% 4.87/5.29 , converse( skol2 ) ), ! join( meet( converse( skol1 ), converse( skol2 )
% 4.87/5.29 ), converse( meet( skol1, skol2 ) ) ) = converse( meet( skol1, skol2 ) )
% 4.87/5.29 }.
% 4.87/5.29
% 4.87/5.29
% 4.87/5.29 Total Proof:
% 4.87/5.29
% 4.87/5.29 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 parent0: (25126) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 4.87/5.29 ( join( X, Y ), Z ) }.
% 4.87/5.29 parent0: (25127) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25142) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 4.87/5.29 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 4.87/5.29 X }.
% 4.87/5.29 parent0[0]: (25128) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 4.87/5.29 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 4.87/5.29 Y ) ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 4.87/5.29 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 4.87/5.29 Y ) ) ) ==> X }.
% 4.87/5.29 parent0: (25142) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 4.87/5.29 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 4.87/5.29 X }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25145) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 4.87/5.29 complement( Y ) ) ) = meet( X, Y ) }.
% 4.87/5.29 parent0[0]: (25129) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 4.87/5.29 ( complement( X ), complement( Y ) ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.29 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.29 parent0: (25145) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X )
% 4.87/5.29 , complement( Y ) ) ) = meet( X, Y ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 4.87/5.29 parent0: (25131) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 4.87/5.29 }.
% 4.87/5.29 parent0: (25133) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25165) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 4.87/5.29 ) = converse( join( X, Y ) ) }.
% 4.87/5.29 parent0[0]: (25134) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 4.87/5.29 ( converse( X ), converse( Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 4.87/5.29 ) ) ==> converse( join( X, Y ) ) }.
% 4.87/5.29 parent0: (25165) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 4.87/5.29 ) = converse( join( X, Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25174) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 4.87/5.29 converse( X ) ) = converse( composition( X, Y ) ) }.
% 4.87/5.29 parent0[0]: (25135) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 4.87/5.29 = composition( converse( Y ), converse( X ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 4.87/5.29 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 4.87/5.29 parent0: (25174) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 4.87/5.29 converse( X ) ) = converse( composition( X, Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 4.87/5.29 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 4.87/5.29 Y ) }.
% 4.87/5.29 parent0: (25136) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 4.87/5.29 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 4.87/5.29 }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25195) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 4.87/5.29 parent0[0]: (25137) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 4.87/5.29 }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 4.87/5.29 top }.
% 4.87/5.29 parent0: (25195) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top
% 4.87/5.29 }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25207) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 4.87/5.29 }.
% 4.87/5.29 parent0[0]: (25138) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X )
% 4.87/5.29 ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 4.87/5.29 zero }.
% 4.87/5.29 parent0: (25207) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 4.87/5.29 }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (13) {G0,W31,D5,L2,V0,M2} I { ! join( converse( meet( skol1,
% 4.87/5.29 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 4.87/5.29 converse( skol1 ), converse( skol2 ) ), ! join( meet( converse( skol1 ),
% 4.87/5.29 converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse(
% 4.87/5.29 meet( skol1, skol2 ) ) }.
% 4.87/5.29 parent0: (25139) {G0,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 4.87/5.29 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) = meet(
% 4.87/5.29 converse( skol1 ), converse( skol2 ) ), ! join( meet( converse( skol1 ),
% 4.87/5.29 converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) = converse( meet
% 4.87/5.29 ( skol1, skol2 ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 1 ==> 1
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25223) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 4.87/5.29 }.
% 4.87/5.29 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 4.87/5.29 }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25224) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 4.87/5.29 }.
% 4.87/5.29 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 parent1[0; 2]: (25223) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 4.87/5.29 X ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := complement( X )
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25227) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 4.87/5.29 }.
% 4.87/5.29 parent0[0]: (25224) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 4.87/5.29 ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 4.87/5.29 ==> top }.
% 4.87/5.29 parent0: (25227) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 4.87/5.29 }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25228) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 4.87/5.29 , join( Y, Z ) ) }.
% 4.87/5.29 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25231) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 4.87/5.29 join( Y, Z ), X ) }.
% 4.87/5.29 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 parent1[0; 6]: (25228) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 4.87/5.29 join( X, join( Y, Z ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := join( Y, Z )
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (15) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 4.87/5.29 join( join( Y, Z ), X ) }.
% 4.87/5.29 parent0: (25231) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 4.87/5.29 join( Y, Z ), X ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25245) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 4.87/5.29 , join( Y, Z ) ) }.
% 4.87/5.29 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25250) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 4.87/5.29 X, join( Z, Y ) ) }.
% 4.87/5.29 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 parent1[0; 8]: (25245) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 4.87/5.29 join( X, join( Y, Z ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := Z
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25263) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 4.87/5.29 join( X, Z ), Y ) }.
% 4.87/5.29 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 parent1[0; 6]: (25250) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 4.87/5.29 join( X, join( Z, Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Z
% 4.87/5.29 Z := Y
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 4.87/5.29 ) = join( join( Z, X ), Y ) }.
% 4.87/5.29 parent0: (25263) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 4.87/5.29 join( X, Z ), Y ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Z
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25265) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 4.87/5.29 , join( Y, Z ) ) }.
% 4.87/5.29 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25268) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y
% 4.87/5.29 ) ) ==> join( X, top ) }.
% 4.87/5.29 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 4.87/5.29 }.
% 4.87/5.29 parent1[0; 9]: (25265) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 4.87/5.29 join( X, join( Y, Z ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := complement( Y )
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.29 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.29 parent0: (25268) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y
% 4.87/5.29 ) ) ==> join( X, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := X
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25272) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 4.87/5.29 ), complement( Y ) ) }.
% 4.87/5.29 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.29 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25275) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==> join
% 4.87/5.29 ( join( X, top ), complement( complement( Y ) ) ) }.
% 4.87/5.29 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.29 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.29 parent1[0; 7]: (25272) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.29 join( X, Y ), complement( Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := X
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := join( X, Y )
% 4.87/5.29 Y := complement( Y )
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25276) {G2,W13,D5,L1,V2,M1} { join( join( X, top ), complement(
% 4.87/5.29 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 4.87/5.29 parent0[0]: (25275) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==>
% 4.87/5.29 join( join( X, top ), complement( complement( Y ) ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (20) {G2,W13,D5,L1,V2,M1} P(17,17) { join( join( X, top ),
% 4.87/5.29 complement( complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 4.87/5.29 parent0: (25276) {G2,W13,D5,L1,V2,M1} { join( join( X, top ), complement(
% 4.87/5.29 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25278) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 4.87/5.29 ), complement( Y ) ) }.
% 4.87/5.29 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.29 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25285) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join(
% 4.87/5.29 join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 4.87/5.29 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 parent1[0; 5]: (25278) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.29 join( X, Y ), complement( Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := join( Y, Z )
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25286) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 4.87/5.29 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 4.87/5.29 parent0[0]: (25285) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join(
% 4.87/5.29 join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ),
% 4.87/5.29 Z ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 4.87/5.29 parent0: (25286) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 4.87/5.29 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 Z := Z
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25287) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 4.87/5.29 ), complement( Y ) ) }.
% 4.87/5.29 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.29 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25290) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.29 complement( Y ), join( X, Y ) ) }.
% 4.87/5.29 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 parent1[0; 4]: (25287) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.29 join( X, Y ), complement( Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := join( X, Y )
% 4.87/5.29 Y := complement( Y )
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25303) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 4.87/5.29 complement( Y ), X ), Y ) }.
% 4.87/5.29 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.29 join( X, Y ), Z ) }.
% 4.87/5.29 parent1[0; 4]: (25290) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.29 complement( Y ), join( X, Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := complement( Y )
% 4.87/5.29 Y := X
% 4.87/5.29 Z := Y
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25304) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y
% 4.87/5.29 ) ==> join( X, top ) }.
% 4.87/5.29 parent0[0]: (25303) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 4.87/5.29 complement( Y ), X ), Y ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 subsumption: (22) {G2,W10,D5,L1,V2,M1} P(17,0);d(1) { join( join(
% 4.87/5.29 complement( Y ), X ), Y ) ==> join( X, top ) }.
% 4.87/5.29 parent0: (25304) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ),
% 4.87/5.29 Y ) ==> join( X, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 permutation0:
% 4.87/5.29 0 ==> 0
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25305) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 4.87/5.29 ), complement( Y ) ) }.
% 4.87/5.29 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.29 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := Y
% 4.87/5.29 Y := X
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 paramod: (25308) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y,
% 4.87/5.29 X ), complement( Y ) ) }.
% 4.87/5.29 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.29 parent1[0; 5]: (25305) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.29 join( X, Y ), complement( Y ) ) }.
% 4.87/5.29 substitution0:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29 substitution1:
% 4.87/5.29 X := X
% 4.87/5.29 Y := Y
% 4.87/5.29 end
% 4.87/5.29
% 4.87/5.29 eqswap: (25321) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 4.87/5.29 ) ==> join( X, top ) }.
% 4.87/5.29 parent0[0]: (25308) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join(
% 4.87/5.30 Y, X ), complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (23) {G2,W10,D4,L1,V2,M1} P(0,17) { join( join( Y, X ),
% 4.87/5.30 complement( Y ) ) ==> join( X, top ) }.
% 4.87/5.30 parent0: (25321) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y
% 4.87/5.30 ) ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25323) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 4.87/5.30 ), complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.30 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25324) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 4.87/5.30 complement( complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 4.87/5.30 }.
% 4.87/5.30 parent1[0; 5]: (25323) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.30 join( X, Y ), complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25325) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 4.87/5.30 ) ) ) ==> join( X, top ) }.
% 4.87/5.30 parent0[0]: (25324) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 4.87/5.30 complement( complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement(
% 4.87/5.30 complement( X ) ) ) ==> join( X, top ) }.
% 4.87/5.30 parent0: (25325) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement(
% 4.87/5.30 X ) ) ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25326) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 4.87/5.30 complement( complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement(
% 4.87/5.30 complement( X ) ) ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25328) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 4.87/5.30 ( complement( X ) ), top ) }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 4]: (25326) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 4.87/5.30 , complement( complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := top
% 4.87/5.30 Y := complement( complement( X ) )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25334) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 4.87/5.30 , top ) ==> join( X, top ) }.
% 4.87/5.30 parent0[0]: (25328) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 4.87/5.30 complement( complement( X ) ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (25) {G3,W9,D5,L1,V1,M1} P(24,0) { join( complement(
% 4.87/5.30 complement( X ) ), top ) ==> join( X, top ) }.
% 4.87/5.30 parent0: (25334) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 4.87/5.30 , top ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25336) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 4.87/5.30 , join( Y, Z ) ) }.
% 4.87/5.30 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.30 join( X, Y ), Z ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := Z
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25339) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 4.87/5.30 complement( Y ) ) ), top ) ==> join( X, join( Y, top ) ) }.
% 4.87/5.30 parent0[0]: (25) {G3,W9,D5,L1,V1,M1} P(24,0) { join( complement( complement
% 4.87/5.30 ( X ) ), top ) ==> join( X, top ) }.
% 4.87/5.30 parent1[0; 10]: (25336) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 4.87/5.30 join( X, join( Y, Z ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( complement( Y ) )
% 4.87/5.30 Z := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25340) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 4.87/5.30 complement( Y ) ) ), top ) ==> join( join( X, Y ), top ) }.
% 4.87/5.30 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.30 join( X, Y ), Z ) }.
% 4.87/5.30 parent1[0; 8]: (25339) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 4.87/5.30 complement( Y ) ) ), top ) ==> join( X, join( Y, top ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := top
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (26) {G4,W13,D6,L1,V2,M1} P(25,1);d(1) { join( join( Y,
% 4.87/5.30 complement( complement( X ) ) ), top ) ==> join( join( Y, X ), top ) }.
% 4.87/5.30 parent0: (25340) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 4.87/5.30 complement( Y ) ) ), top ) ==> join( join( X, Y ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25344) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 4.87/5.30 join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 4.87/5.30 Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 parent0: (25344) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 4.87/5.30 join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25347) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 4.87/5.30 composition( converse( X ), converse( Y ) ) }.
% 4.87/5.30 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 4.87/5.30 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25349) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 4.87/5.30 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 4.87/5.30 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 9]: (25347) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X
% 4.87/5.30 ) ) ==> composition( converse( X ), converse( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := converse( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 4.87/5.30 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 4.87/5.30 parent0: (25349) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 4.87/5.30 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25353) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 4.87/5.30 converse( X ), converse( Y ) ) }.
% 4.87/5.30 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 4.87/5.30 ) ==> converse( join( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25354) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 4.87/5.30 ) ==> join( X, converse( Y ) ) }.
% 4.87/5.30 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 7]: (25353) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 4.87/5.30 join( converse( X ), converse( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := converse( X )
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (39) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 4.87/5.30 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 4.87/5.30 parent0: (25354) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 4.87/5.30 ) ==> join( X, converse( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25359) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 4.87/5.30 converse( X ), converse( Y ) ) }.
% 4.87/5.30 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 4.87/5.30 ) ==> converse( join( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25361) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 4.87/5.30 ) ==> join( converse( X ), Y ) }.
% 4.87/5.30 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 9]: (25359) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 4.87/5.30 join( converse( X ), converse( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := converse( Y )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (40) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 4.87/5.30 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 4.87/5.30 parent0: (25361) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 4.87/5.30 ) ==> join( converse( X ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25364) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25366) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join
% 4.87/5.30 ( complement( Y ), complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 5]: (25364) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 Y := complement( Y )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25368) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 parent1[0; 4]: (25366) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( Y ), complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0: (25368) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25370) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25373) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 4.87/5.30 complement( top ) }.
% 4.87/5.30 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 4.87/5.30 }.
% 4.87/5.30 parent1[0; 6]: (25370) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25374) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 4.87/5.30 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 1]: (25373) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) )
% 4.87/5.30 ==> complement( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25375) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 4.87/5.30 parent0[0]: (25374) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent0: (25375) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25377) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25378) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 4.87/5.30 ( zero, complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 6]: (25377) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := top
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25380) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 4.87/5.30 X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 parent0[0]: (25378) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 4.87/5.30 join( zero, complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 4.87/5.30 complement( X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 parent0: (25380) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement
% 4.87/5.30 ( X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25383) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25385) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 4.87/5.30 ( complement( X ), zero ) ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 8]: (25383) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25387) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 4.87/5.30 zero ) ) ==> meet( X, top ) }.
% 4.87/5.30 parent0[0]: (25385) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 4.87/5.30 join( complement( X ), zero ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (57) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join(
% 4.87/5.30 complement( X ), zero ) ) ==> meet( X, top ) }.
% 4.87/5.30 parent0: (25387) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 4.87/5.30 zero ) ) ==> meet( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25389) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 4.87/5.30 ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25390) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 3]: (25389) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 4.87/5.30 , X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25391) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 4.87/5.30 parent0[0]: (25390) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (62) {G2,W5,D3,L1,V0,M1} P(55,14) { join( zero, top ) ==> top
% 4.87/5.30 }.
% 4.87/5.30 parent0: (25391) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25393) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 4.87/5.30 , join( Y, Z ) ) }.
% 4.87/5.30 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.30 join( X, Y ), Z ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := Z
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25395) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 4.87/5.30 join( X, top ) }.
% 4.87/5.30 parent0[0]: (62) {G2,W5,D3,L1,V0,M1} P(55,14) { join( zero, top ) ==> top
% 4.87/5.30 }.
% 4.87/5.30 parent1[0; 8]: (25393) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 4.87/5.30 join( X, join( Y, Z ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := zero
% 4.87/5.30 Z := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top
% 4.87/5.30 ) ==> join( X, top ) }.
% 4.87/5.30 parent0: (25395) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 4.87/5.30 join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25398) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X,
% 4.87/5.30 zero ), top ) }.
% 4.87/5.30 parent0[0]: (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top )
% 4.87/5.30 ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25401) {G1,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( zero
% 4.87/5.30 , X ), top ) }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 5]: (25398) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join
% 4.87/5.30 ( X, zero ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := zero
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25414) {G1,W9,D4,L1,V1,M1} { join( join( zero, X ), top ) ==>
% 4.87/5.30 join( X, top ) }.
% 4.87/5.30 parent0[0]: (25401) {G1,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join(
% 4.87/5.30 zero, X ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (75) {G4,W9,D4,L1,V1,M1} P(0,65) { join( join( zero, X ), top
% 4.87/5.30 ) ==> join( X, top ) }.
% 4.87/5.30 parent0: (25414) {G1,W9,D4,L1,V1,M1} { join( join( zero, X ), top ) ==>
% 4.87/5.30 join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25416) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 4.87/5.30 ( zero, complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 4.87/5.30 complement( X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25417) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement(
% 4.87/5.30 join( zero, zero ) ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 7]: (25416) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 4.87/5.30 ( join( zero, complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25418) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 4.87/5.30 meet( top, top ) }.
% 4.87/5.30 parent0[0]: (25417) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement
% 4.87/5.30 ( join( zero, zero ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero,
% 4.87/5.30 zero ) ) ==> meet( top, top ) }.
% 4.87/5.30 parent0: (25418) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) )
% 4.87/5.30 ==> meet( top, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25420) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25421) {G1,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero ),
% 4.87/5.30 meet( top, top ) ) }.
% 4.87/5.30 parent0[0]: (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero,
% 4.87/5.30 zero ) ) ==> meet( top, top ) }.
% 4.87/5.30 parent1[0; 6]: (25420) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 4.87/5.30 X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := join( zero, zero )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25422) {G1,W9,D4,L1,V0,M1} { join( join( zero, zero ), meet( top
% 4.87/5.30 , top ) ) ==> top }.
% 4.87/5.30 parent0[0]: (25421) {G1,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero )
% 4.87/5.30 , meet( top, top ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (107) {G4,W9,D4,L1,V0,M1} P(92,11) { join( join( zero, zero )
% 4.87/5.30 , meet( top, top ) ) ==> top }.
% 4.87/5.30 parent0: (25422) {G1,W9,D4,L1,V0,M1} { join( join( zero, zero ), meet( top
% 4.87/5.30 , top ) ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25423) {G0,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ), converse
% 4.87/5.30 ( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet( converse(
% 4.87/5.30 skol1 ), converse( skol2 ) ) ), ! join( meet( converse( skol1 ), converse
% 4.87/5.30 ( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1
% 4.87/5.30 , skol2 ) ) }.
% 4.87/5.30 parent0[0]: (13) {G0,W31,D5,L2,V0,M2} I { ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 4.87/5.30 converse( skol1 ), converse( skol2 ) ), ! join( meet( converse( skol1 ),
% 4.87/5.30 converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25427) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) )
% 4.87/5.30 ==> join( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ),
% 4.87/5.30 converse( skol2 ) ) ) }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[1; 2]: (25423) {G0,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 4.87/5.30 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet(
% 4.87/5.30 converse( skol1 ), converse( skol2 ) ) ), ! join( meet( converse( skol1 )
% 4.87/5.30 , converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( converse( skol1 ), converse( skol2 ) )
% 4.87/5.30 Y := converse( meet( skol1, skol2 ) )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25440) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 4.87/5.30 converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ) }.
% 4.87/5.30 parent0[1]: (25427) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) )
% 4.87/5.30 ==> join( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ),
% 4.87/5.30 converse( skol2 ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (110) {G1,W31,D5,L2,V0,M2} P(0,13) { ! join( converse( meet(
% 4.87/5.30 skol1, skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet
% 4.87/5.30 ( converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ) }.
% 4.87/5.30 parent0: (25440) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 4.87/5.30 converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 4.87/5.30 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.30 meet( skol1, skol2 ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 1 ==> 1
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25442) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join(
% 4.87/5.30 join( X, Y ), Z ) }.
% 4.87/5.30 parent0[0]: (15) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 4.87/5.30 join( join( Y, Z ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := Z
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25443) {G4,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero ),
% 4.87/5.30 meet( top, top ) ) }.
% 4.87/5.30 parent0[0]: (107) {G4,W9,D4,L1,V0,M1} P(92,11) { join( join( zero, zero ),
% 4.87/5.30 meet( top, top ) ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25444) {G2,W9,D5,L1,V0,M1} { top ==> join( join( meet( top, top
% 4.87/5.30 ), zero ), zero ) }.
% 4.87/5.30 parent0[0]: (25442) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join
% 4.87/5.30 ( join( X, Y ), Z ) }.
% 4.87/5.30 parent1[0; 2]: (25443) {G4,W9,D4,L1,V0,M1} { top ==> join( join( zero,
% 4.87/5.30 zero ), meet( top, top ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( top, top )
% 4.87/5.30 Y := zero
% 4.87/5.30 Z := zero
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25445) {G2,W9,D5,L1,V0,M1} { top ==> join( join( zero, meet( top
% 4.87/5.30 , top ) ), zero ) }.
% 4.87/5.30 parent0[0]: (25442) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join
% 4.87/5.30 ( join( X, Y ), Z ) }.
% 4.87/5.30 parent1[0; 2]: (25444) {G2,W9,D5,L1,V0,M1} { top ==> join( join( meet( top
% 4.87/5.30 , top ), zero ), zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := zero
% 4.87/5.30 Y := meet( top, top )
% 4.87/5.30 Z := zero
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25448) {G2,W9,D5,L1,V0,M1} { join( join( zero, meet( top, top ) )
% 4.87/5.30 , zero ) ==> top }.
% 4.87/5.30 parent0[0]: (25445) {G2,W9,D5,L1,V0,M1} { top ==> join( join( zero, meet(
% 4.87/5.30 top, top ) ), zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (129) {G5,W9,D5,L1,V0,M1} P(15,107) { join( join( zero, meet(
% 4.87/5.30 top, top ) ), zero ) ==> top }.
% 4.87/5.30 parent0: (25448) {G2,W9,D5,L1,V0,M1} { join( join( zero, meet( top, top )
% 4.87/5.30 ), zero ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25451) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X,
% 4.87/5.30 zero ), top ) }.
% 4.87/5.30 parent0[0]: (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top )
% 4.87/5.30 ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25453) {G4,W11,D5,L1,V0,M1} { join( join( zero, meet( top, top )
% 4.87/5.30 ), top ) ==> join( top, top ) }.
% 4.87/5.30 parent0[0]: (129) {G5,W9,D5,L1,V0,M1} P(15,107) { join( join( zero, meet(
% 4.87/5.30 top, top ) ), zero ) ==> top }.
% 4.87/5.30 parent1[0; 9]: (25451) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join
% 4.87/5.30 ( X, zero ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := join( zero, meet( top, top ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25454) {G5,W9,D4,L1,V0,M1} { join( meet( top, top ), top ) ==>
% 4.87/5.30 join( top, top ) }.
% 4.87/5.30 parent0[0]: (75) {G4,W9,D4,L1,V1,M1} P(0,65) { join( join( zero, X ), top )
% 4.87/5.30 ==> join( X, top ) }.
% 4.87/5.30 parent1[0; 1]: (25453) {G4,W11,D5,L1,V0,M1} { join( join( zero, meet( top
% 4.87/5.30 , top ) ), top ) ==> join( top, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( top, top )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (145) {G6,W9,D4,L1,V0,M1} P(129,65);d(75) { join( meet( top,
% 4.87/5.30 top ), top ) ==> join( top, top ) }.
% 4.87/5.30 parent0: (25454) {G5,W9,D4,L1,V0,M1} { join( meet( top, top ), top ) ==>
% 4.87/5.30 join( top, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25457) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 4.87/5.30 converse( join( converse( X ), Y ) ) }.
% 4.87/5.30 parent0[0]: (39) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 4.87/5.30 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25458) {G1,W9,D6,L1,V1,M1} { join( X, converse( complement(
% 4.87/5.30 converse( X ) ) ) ) ==> converse( top ) }.
% 4.87/5.30 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 4.87/5.30 }.
% 4.87/5.30 parent1[0; 8]: (25457) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 4.87/5.30 converse( join( converse( X ), Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := converse( X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( converse( X ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (190) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse(
% 4.87/5.30 complement( converse( X ) ) ) ) ==> converse( top ) }.
% 4.87/5.30 parent0: (25458) {G1,W9,D6,L1,V1,M1} { join( X, converse( complement(
% 4.87/5.30 converse( X ) ) ) ) ==> converse( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25460) {G2,W9,D6,L1,V1,M1} { converse( top ) ==> join( X,
% 4.87/5.30 converse( complement( converse( X ) ) ) ) }.
% 4.87/5.30 parent0[0]: (190) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse(
% 4.87/5.30 complement( converse( X ) ) ) ) ==> converse( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25461) {G1,W9,D6,L1,V1,M1} { converse( top ) ==> join( converse
% 4.87/5.30 ( complement( converse( X ) ) ), X ) }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 3]: (25460) {G2,W9,D6,L1,V1,M1} { converse( top ) ==> join( X,
% 4.87/5.30 converse( complement( converse( X ) ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := converse( complement( converse( X ) ) )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25464) {G1,W9,D6,L1,V1,M1} { join( converse( complement( converse
% 4.87/5.30 ( X ) ) ), X ) ==> converse( top ) }.
% 4.87/5.30 parent0[0]: (25461) {G1,W9,D6,L1,V1,M1} { converse( top ) ==> join(
% 4.87/5.30 converse( complement( converse( X ) ) ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (204) {G3,W9,D6,L1,V1,M1} P(190,0) { join( converse(
% 4.87/5.30 complement( converse( X ) ) ), X ) ==> converse( top ) }.
% 4.87/5.30 parent0: (25464) {G1,W9,D6,L1,V1,M1} { join( converse( complement(
% 4.87/5.30 converse( X ) ) ), X ) ==> converse( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25466) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 4.87/5.30 converse( composition( converse( X ), Y ) ) }.
% 4.87/5.30 parent0[0]: (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 4.87/5.30 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25469) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 4.87/5.30 ==> converse( converse( X ) ) }.
% 4.87/5.30 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 4.87/5.30 parent1[0; 6]: (25466) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ),
% 4.87/5.30 X ) ==> converse( composition( converse( X ), Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := converse( X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := one
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25470) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 5]: (25469) {G1,W8,D4,L1,V1,M1} { composition( converse( one )
% 4.87/5.30 , X ) ==> converse( converse( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (279) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 4.87/5.30 ( one ), X ) ==> X }.
% 4.87/5.30 parent0: (25470) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25472) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ),
% 4.87/5.30 X ) }.
% 4.87/5.30 parent0[0]: (279) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 4.87/5.30 ( one ), X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25474) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 4.87/5.30 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 4.87/5.30 parent1[0; 2]: (25472) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 4.87/5.30 one ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := converse( one )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := one
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25475) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 4.87/5.30 parent0[0]: (25474) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (289) {G3,W4,D3,L1,V0,M1} P(279,5) { converse( one ) ==> one
% 4.87/5.30 }.
% 4.87/5.30 parent0: (25475) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25477) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ),
% 4.87/5.30 X ) }.
% 4.87/5.30 parent0[0]: (279) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 4.87/5.30 ( one ), X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25478) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 4.87/5.30 parent0[0]: (289) {G3,W4,D3,L1,V0,M1} P(279,5) { converse( one ) ==> one
% 4.87/5.30 }.
% 4.87/5.30 parent1[0; 3]: (25477) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 4.87/5.30 one ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25479) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 4.87/5.30 parent0[0]: (25478) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (290) {G4,W5,D3,L1,V1,M1} P(289,279) { composition( one, X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 parent0: (25479) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25481) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 4.87/5.30 composition( converse( X ), complement( composition( X, Y ) ) ),
% 4.87/5.30 complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 4.87/5.30 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 4.87/5.30 Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25483) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 4.87/5.30 parent0[0]: (290) {G4,W5,D3,L1,V1,M1} P(289,279) { composition( one, X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 parent1[0; 8]: (25481) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 4.87/5.30 composition( converse( X ), complement( composition( X, Y ) ) ),
% 4.87/5.30 complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := one
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25484) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 complement( X ), complement( X ) ) }.
% 4.87/5.30 parent0[0]: (279) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 4.87/5.30 ( one ), X ) ==> X }.
% 4.87/5.30 parent1[0; 4]: (25483) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25485) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 4.87/5.30 ) ) ==> complement( X ) }.
% 4.87/5.30 parent0[0]: (25484) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 complement( X ), complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement
% 4.87/5.30 ( X ), complement( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent0: (25485) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement(
% 4.87/5.30 X ) ) ==> complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25487) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join(
% 4.87/5.30 complement( X ), Y ), X ) }.
% 4.87/5.30 parent0[0]: (22) {G2,W10,D5,L1,V2,M1} P(17,0);d(1) { join( join( complement
% 4.87/5.30 ( Y ), X ), Y ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25489) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 4.87/5.30 join( complement( X ), X ) }.
% 4.87/5.30 parent0[0]: (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement(
% 4.87/5.30 X ), complement( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent1[0; 6]: (25487) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join(
% 4.87/5.30 join( complement( X ), Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25490) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 4.87/5.30 top }.
% 4.87/5.30 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 4.87/5.30 ==> top }.
% 4.87/5.30 parent1[0; 5]: (25489) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top )
% 4.87/5.30 ==> join( complement( X ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (297) {G6,W6,D4,L1,V1,M1} P(294,22);d(14) { join( complement(
% 4.87/5.30 X ), top ) ==> top }.
% 4.87/5.30 parent0: (25490) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 4.87/5.30 top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25493) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 4.87/5.30 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 4.87/5.30 parent0[0]: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z
% 4.87/5.30 ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := Z
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25496) {G3,W15,D6,L1,V2,M1} { join( X, top ) ==> join( join(
% 4.87/5.30 join( X, complement( Y ) ), complement( Y ) ), complement( complement( Y
% 4.87/5.30 ) ) ) }.
% 4.87/5.30 parent0[0]: (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement(
% 4.87/5.30 X ), complement( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent1[0; 13]: (25493) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join(
% 4.87/5.30 join( join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( Y )
% 4.87/5.30 Z := complement( Y )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25497) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 4.87/5.30 complement( Y ) ), top ) }.
% 4.87/5.30 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 4.87/5.30 complement( X ) ) ==> join( Y, top ) }.
% 4.87/5.30 parent1[0; 4]: (25496) {G3,W15,D6,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.30 join( join( X, complement( Y ) ), complement( Y ) ), complement(
% 4.87/5.30 complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( Y )
% 4.87/5.30 Y := join( X, complement( Y ) )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25498) {G2,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ),
% 4.87/5.30 top ) ==> join( X, top ) }.
% 4.87/5.30 parent0[0]: (25497) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 4.87/5.30 X, complement( Y ) ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (298) {G6,W10,D5,L1,V2,M1} P(294,21);d(17) { join( join( Y,
% 4.87/5.30 complement( X ) ), top ) ==> join( Y, top ) }.
% 4.87/5.30 parent0: (25498) {G2,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ),
% 4.87/5.30 top ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25500) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 4.87/5.30 ( X ), complement( X ) ) }.
% 4.87/5.30 parent0[0]: (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement(
% 4.87/5.30 X ), complement( X ) ) ==> complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25503) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 4.87/5.30 complement( top ), zero ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 6]: (25500) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 complement( X ), complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25505) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join( zero,
% 4.87/5.30 zero ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 4]: (25503) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 4.87/5.30 complement( top ), zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25506) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 1]: (25505) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join(
% 4.87/5.30 zero, zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25512) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 4.87/5.30 parent0[0]: (25506) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (303) {G6,W5,D3,L1,V0,M1} P(55,294) { join( zero, zero ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent0: (25512) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25516) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25531) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 parent0[0]: (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement(
% 4.87/5.30 X ), complement( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent1[0; 5]: (25516) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25532) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 4.87/5.30 meet( X, X ) }.
% 4.87/5.30 parent0[0]: (25531) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (304) {G6,W7,D4,L1,V1,M1} P(294,3) { complement( complement( X
% 4.87/5.30 ) ) = meet( X, X ) }.
% 4.87/5.30 parent0: (25532) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 4.87/5.30 meet( X, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25535) {G5,W9,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 4.87/5.30 ), top ) }.
% 4.87/5.30 parent0[0]: (298) {G6,W10,D5,L1,V2,M1} P(294,21);d(17) { join( join( Y,
% 4.87/5.30 complement( X ) ), top ) ==> join( Y, top ) }.
% 4.87/5.30 parent1[0; 1]: (26) {G4,W13,D6,L1,V2,M1} P(25,1);d(1) { join( join( Y,
% 4.87/5.30 complement( complement( X ) ) ), top ) ==> join( join( Y, X ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( Y )
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25536) {G5,W9,D4,L1,V2,M1} { join( join( X, Y ), top ) ==> join(
% 4.87/5.30 X, top ) }.
% 4.87/5.30 parent0[0]: (25535) {G5,W9,D4,L1,V2,M1} { join( X, top ) ==> join( join( X
% 4.87/5.30 , Y ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (306) {G7,W9,D4,L1,V2,M1} S(26);d(298) { join( join( Y, X ),
% 4.87/5.30 top ) ==> join( Y, top ) }.
% 4.87/5.30 parent0: (25536) {G5,W9,D4,L1,V2,M1} { join( join( X, Y ), top ) ==> join
% 4.87/5.30 ( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25538) {G3,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement(
% 4.87/5.30 join( zero, zero ) ) }.
% 4.87/5.30 parent0[0]: (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero,
% 4.87/5.30 zero ) ) ==> meet( top, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25539) {G4,W6,D3,L1,V0,M1} { meet( top, top ) ==> complement(
% 4.87/5.30 zero ) }.
% 4.87/5.30 parent0[0]: (303) {G6,W5,D3,L1,V0,M1} P(55,294) { join( zero, zero ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 5]: (25538) {G3,W8,D4,L1,V0,M1} { meet( top, top ) ==>
% 4.87/5.30 complement( join( zero, zero ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (312) {G7,W6,D3,L1,V0,M1} P(303,92) { meet( top, top ) ==>
% 4.87/5.30 complement( zero ) }.
% 4.87/5.30 parent0: (25539) {G4,W6,D3,L1,V0,M1} { meet( top, top ) ==> complement(
% 4.87/5.30 zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25542) {G6,W9,D4,L1,V0,M1} { join( top, top ) ==> join( meet( top
% 4.87/5.30 , top ), top ) }.
% 4.87/5.30 parent0[0]: (145) {G6,W9,D4,L1,V0,M1} P(129,65);d(75) { join( meet( top,
% 4.87/5.30 top ), top ) ==> join( top, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25544) {G7,W8,D4,L1,V0,M1} { join( top, top ) ==> join(
% 4.87/5.30 complement( zero ), top ) }.
% 4.87/5.30 parent0[0]: (312) {G7,W6,D3,L1,V0,M1} P(303,92) { meet( top, top ) ==>
% 4.87/5.30 complement( zero ) }.
% 4.87/5.30 parent1[0; 5]: (25542) {G6,W9,D4,L1,V0,M1} { join( top, top ) ==> join(
% 4.87/5.30 meet( top, top ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25545) {G7,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 4.87/5.30 parent0[0]: (297) {G6,W6,D4,L1,V1,M1} P(294,22);d(14) { join( complement( X
% 4.87/5.30 ), top ) ==> top }.
% 4.87/5.30 parent1[0; 4]: (25544) {G7,W8,D4,L1,V0,M1} { join( top, top ) ==> join(
% 4.87/5.30 complement( zero ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := zero
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (313) {G8,W5,D3,L1,V0,M1} P(312,145);d(297) { join( top, top )
% 4.87/5.30 ==> top }.
% 4.87/5.30 parent0: (25545) {G7,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25548) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==> join
% 4.87/5.30 ( join( X, top ), complement( complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (20) {G2,W13,D5,L1,V2,M1} P(17,17) { join( join( X, top ),
% 4.87/5.30 complement( complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25554) {G3,W11,D5,L1,V1,M1} { join( join( top, X ), top ) ==>
% 4.87/5.30 join( top, complement( complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (313) {G8,W5,D3,L1,V0,M1} P(312,145);d(297) { join( top, top )
% 4.87/5.30 ==> top }.
% 4.87/5.30 parent1[0; 7]: (25548) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top )
% 4.87/5.30 ==> join( join( X, top ), complement( complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := top
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25558) {G3,W9,D4,L1,V1,M1} { join( join( top, X ), top ) ==>
% 4.87/5.30 join( X, top ) }.
% 4.87/5.30 parent0[0]: (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement(
% 4.87/5.30 complement( X ) ) ) ==> join( X, top ) }.
% 4.87/5.30 parent1[0; 6]: (25554) {G3,W11,D5,L1,V1,M1} { join( join( top, X ), top )
% 4.87/5.30 ==> join( top, complement( complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25559) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (306) {G7,W9,D4,L1,V2,M1} S(26);d(298) { join( join( Y, X ),
% 4.87/5.30 top ) ==> join( Y, top ) }.
% 4.87/5.30 parent1[0; 1]: (25558) {G3,W9,D4,L1,V1,M1} { join( join( top, X ), top )
% 4.87/5.30 ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := top
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25560) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 4.87/5.30 parent0[0]: (313) {G8,W5,D3,L1,V0,M1} P(312,145);d(297) { join( top, top )
% 4.87/5.30 ==> top }.
% 4.87/5.30 parent1[0; 1]: (25559) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X
% 4.87/5.30 , top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25561) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 4.87/5.30 parent0[0]: (25560) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (314) {G9,W5,D3,L1,V1,M1} P(313,20);d(24);d(306);d(313) { join
% 4.87/5.30 ( X, top ) ==> top }.
% 4.87/5.30 parent0: (25561) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25562) {G9,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 4.87/5.30 parent0[0]: (314) {G9,W5,D3,L1,V1,M1} P(313,20);d(24);d(306);d(313) { join
% 4.87/5.30 ( X, top ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25564) {G4,W4,D3,L1,V0,M1} { top ==> converse( top ) }.
% 4.87/5.30 parent0[0]: (204) {G3,W9,D6,L1,V1,M1} P(190,0) { join( converse( complement
% 4.87/5.30 ( converse( X ) ) ), X ) ==> converse( top ) }.
% 4.87/5.30 parent1[0; 2]: (25562) {G9,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := top
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := converse( complement( converse( top ) ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25565) {G4,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 4.87/5.30 parent0[0]: (25564) {G4,W4,D3,L1,V0,M1} { top ==> converse( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (316) {G10,W4,D3,L1,V0,M1} P(314,204) { converse( top ) ==>
% 4.87/5.30 top }.
% 4.87/5.30 parent0: (25565) {G4,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25567) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25569) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 4.87/5.30 complement( top ) ) }.
% 4.87/5.30 parent0[0]: (314) {G9,W5,D3,L1,V1,M1} P(313,20);d(24);d(306);d(313) { join
% 4.87/5.30 ( X, top ) ==> top }.
% 4.87/5.30 parent1[0; 7]: (25567) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := top
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25570) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 6]: (25569) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 4.87/5.30 complement( top ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25571) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (25570) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 4.87/5.30 ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (317) {G10,W7,D4,L1,V1,M1} P(314,27);d(55) { join( meet( X,
% 4.87/5.30 top ), zero ) ==> X }.
% 4.87/5.30 parent0: (25571) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25573) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 4.87/5.30 ), complement( X ) ) }.
% 4.87/5.30 parent0[0]: (23) {G2,W10,D4,L1,V2,M1} P(0,17) { join( join( Y, X ),
% 4.87/5.30 complement( Y ) ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25575) {G2,W14,D6,L1,V2,M1} { join( complement( join( complement
% 4.87/5.30 ( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 parent1[0; 9]: (25573) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join(
% 4.87/5.30 join( X, Y ), complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := meet( X, Y )
% 4.87/5.30 Y := complement( join( complement( X ), Y ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25576) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet(
% 4.87/5.30 X, Y ) ) ) }.
% 4.87/5.30 parent0[0]: (314) {G9,W5,D3,L1,V1,M1} P(313,20);d(24);d(306);d(313) { join
% 4.87/5.30 ( X, top ) ==> top }.
% 4.87/5.30 parent1[0; 1]: (25575) {G2,W14,D6,L1,V2,M1} { join( complement( join(
% 4.87/5.30 complement( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) )
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( join( complement( X ), Y ) )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25577) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 4.87/5.30 ) ==> top }.
% 4.87/5.30 parent0[0]: (25576) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement(
% 4.87/5.30 meet( X, Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (333) {G10,W8,D5,L1,V2,M1} P(27,23);d(314) { join( X,
% 4.87/5.30 complement( meet( X, Y ) ) ) ==> top }.
% 4.87/5.30 parent0: (25577) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 4.87/5.30 ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25579) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25581) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 4.87/5.30 complement( top ) ) }.
% 4.87/5.30 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 4.87/5.30 ==> top }.
% 4.87/5.30 parent1[0; 7]: (25579) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25582) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 6]: (25581) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 4.87/5.30 complement( top ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25583) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 4.87/5.30 parent0[0]: (25582) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (335) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X )
% 4.87/5.30 , zero ) ==> X }.
% 4.87/5.30 parent0: (25583) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25585) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25587) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 4.87/5.30 ( complement( X ), complement( X ) ) ) ) }.
% 4.87/5.30 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 3]: (25585) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25588) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 parent1[0; 4]: (25587) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 4.87/5.30 ( join( complement( X ), complement( X ) ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25589) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 4.87/5.30 parent0[0]: (25588) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (340) {G2,W7,D4,L1,V1,M1} P(12,27);d(3) { join( zero, meet( X
% 4.87/5.30 , X ) ) ==> X }.
% 4.87/5.30 parent0: (25589) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25590) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (317) {G10,W7,D4,L1,V1,M1} P(314,27);d(55) { join( meet( X, top
% 4.87/5.30 ), zero ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25591) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 3]: (25590) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 4.87/5.30 zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := top
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25594) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (25591) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 4.87/5.30 ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (350) {G11,W7,D4,L1,V1,M1} P(53,317) { join( meet( top, X ),
% 4.87/5.30 zero ) ==> X }.
% 4.87/5.30 parent0: (25594) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25595) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (317) {G10,W7,D4,L1,V1,M1} P(314,27);d(55) { join( meet( X, top
% 4.87/5.30 ), zero ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25596) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 2]: (25595) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 4.87/5.30 zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( X, top )
% 4.87/5.30 Y := zero
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25599) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (25596) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top )
% 4.87/5.30 ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (353) {G11,W7,D4,L1,V1,M1} P(317,0) { join( zero, meet( X, top
% 4.87/5.30 ) ) ==> X }.
% 4.87/5.30 parent0: (25599) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25600) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (350) {G11,W7,D4,L1,V1,M1} P(53,317) { join( meet( top, X ),
% 4.87/5.30 zero ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25601) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 2]: (25600) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 4.87/5.30 zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( top, X )
% 4.87/5.30 Y := zero
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25604) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (25601) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 4.87/5.30 ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (365) {G12,W7,D4,L1,V1,M1} P(350,0) { join( zero, meet( top, X
% 4.87/5.30 ) ) ==> X }.
% 4.87/5.30 parent0: (25604) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25606) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 4.87/5.30 ( complement( X ), zero ) ) }.
% 4.87/5.30 parent0[0]: (57) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( complement
% 4.87/5.30 ( X ), zero ) ) ==> meet( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25611) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top ) ==>
% 4.87/5.30 complement( join( meet( X, X ), zero ) ) }.
% 4.87/5.30 parent0[0]: (304) {G6,W7,D4,L1,V1,M1} P(294,3) { complement( complement( X
% 4.87/5.30 ) ) = meet( X, X ) }.
% 4.87/5.30 parent1[0; 7]: (25606) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 4.87/5.30 ( join( complement( X ), zero ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25612) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 4.87/5.30 complement( X ) }.
% 4.87/5.30 parent0[0]: (335) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X ),
% 4.87/5.30 zero ) ==> X }.
% 4.87/5.30 parent1[0; 6]: (25611) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top )
% 4.87/5.30 ==> complement( join( meet( X, X ), zero ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (387) {G7,W7,D4,L1,V1,M1} P(304,57);d(335) { meet( complement
% 4.87/5.30 ( X ), top ) ==> complement( X ) }.
% 4.87/5.30 parent0: (25612) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 4.87/5.30 complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25615) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (353) {G11,W7,D4,L1,V1,M1} P(317,0) { join( zero, meet( X, top
% 4.87/5.30 ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25616) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 parent0[0]: (387) {G7,W7,D4,L1,V1,M1} P(304,57);d(335) { meet( complement(
% 4.87/5.30 X ), top ) ==> complement( X ) }.
% 4.87/5.30 parent1[0; 5]: (25615) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X,
% 4.87/5.30 top ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25617) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 4.87/5.30 complement( X ) }.
% 4.87/5.30 parent0[0]: (25616) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (400) {G12,W7,D4,L1,V1,M1} P(387,353) { join( zero, complement
% 4.87/5.30 ( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent0: (25617) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 4.87/5.30 complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25619) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 parent0[0]: (400) {G12,W7,D4,L1,V1,M1} P(387,353) { join( zero, complement
% 4.87/5.30 ( X ) ) ==> complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25622) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 4.87/5.30 join( zero, meet( X, X ) ) }.
% 4.87/5.30 parent0[0]: (304) {G6,W7,D4,L1,V1,M1} P(294,3) { complement( complement( X
% 4.87/5.30 ) ) = meet( X, X ) }.
% 4.87/5.30 parent1[0; 6]: (25619) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 zero, complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25623) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet(
% 4.87/5.30 X, X ) ) }.
% 4.87/5.30 parent0[0]: (304) {G6,W7,D4,L1,V1,M1} P(294,3) { complement( complement( X
% 4.87/5.30 ) ) = meet( X, X ) }.
% 4.87/5.30 parent1[0; 1]: (25622) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 4.87/5.30 ==> join( zero, meet( X, X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25626) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 4.87/5.30 parent0[0]: (340) {G2,W7,D4,L1,V1,M1} P(12,27);d(3) { join( zero, meet( X,
% 4.87/5.30 X ) ) ==> X }.
% 4.87/5.30 parent1[0; 4]: (25623) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 4.87/5.30 meet( X, X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (406) {G13,W5,D3,L1,V1,M1} P(304,400);d(340) { meet( X, X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 parent0: (25626) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25629) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 4.87/5.30 ( zero, complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 4.87/5.30 complement( X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25636) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 parent0[0]: (400) {G12,W7,D4,L1,V1,M1} P(387,353) { join( zero, complement
% 4.87/5.30 ( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent1[0; 5]: (25629) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 4.87/5.30 ( join( zero, complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (411) {G13,W7,D4,L1,V1,M1} P(400,56) { meet( top, X ) ==>
% 4.87/5.30 complement( complement( X ) ) }.
% 4.87/5.30 parent0: (25636) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25639) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 parent0[0]: (400) {G12,W7,D4,L1,V1,M1} P(387,353) { join( zero, complement
% 4.87/5.30 ( X ) ) ==> complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25644) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 4.87/5.30 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 4.87/5.30 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 4.87/5.30 complement( X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 parent1[0; 8]: (25639) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 zero, complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := join( zero, complement( X ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25645) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 4.87/5.30 ( top, X ) ) }.
% 4.87/5.30 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 4.87/5.30 complement( X ) ) ) ==> meet( top, X ) }.
% 4.87/5.30 parent1[0; 1]: (25644) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 4.87/5.30 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25647) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 4.87/5.30 parent0[0]: (365) {G12,W7,D4,L1,V1,M1} P(350,0) { join( zero, meet( top, X
% 4.87/5.30 ) ) ==> X }.
% 4.87/5.30 parent1[0; 4]: (25645) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 4.87/5.30 , meet( top, X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25648) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (411) {G13,W7,D4,L1,V1,M1} P(400,56) { meet( top, X ) ==>
% 4.87/5.30 complement( complement( X ) ) }.
% 4.87/5.30 parent1[0; 1]: (25647) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) {
% 4.87/5.30 complement( complement( X ) ) ==> X }.
% 4.87/5.30 parent0: (25648) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25651) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 4.87/5.30 parent0[0]: (335) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X ),
% 4.87/5.30 zero ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25652) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 4.87/5.30 parent0[0]: (406) {G13,W5,D3,L1,V1,M1} P(304,400);d(340) { meet( X, X ) ==>
% 4.87/5.30 X }.
% 4.87/5.30 parent1[0; 3]: (25651) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 4.87/5.30 zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25653) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 4.87/5.30 parent0[0]: (25652) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (415) {G14,W5,D3,L1,V1,M1} P(406,335) { join( X, zero ) ==> X
% 4.87/5.30 }.
% 4.87/5.30 parent0: (25653) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25655) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 4.87/5.30 ( X ), complement( X ) ) }.
% 4.87/5.30 parent0[0]: (294) {G5,W8,D4,L1,V1,M1} P(290,10);d(279) { join( complement(
% 4.87/5.30 X ), complement( X ) ) ==> complement( X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25658) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 4.87/5.30 join( complement( complement( X ) ), X ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 8]: (25655) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 4.87/5.30 complement( X ), complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25660) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 4.87/5.30 join( X, X ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 5]: (25658) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 4.87/5.30 ==> join( complement( complement( X ) ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25661) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 1]: (25660) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 4.87/5.30 ==> join( X, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25667) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 4.87/5.30 parent0[0]: (25661) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.30 parent0: (25667) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25671) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25674) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 4.87/5.30 complement( join( X, complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 7]: (25671) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25676) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y
% 4.87/5.30 ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.30 parent0[0]: (25674) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 4.87/5.30 complement( join( X, complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (423) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( X,
% 4.87/5.30 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.30 parent0: (25676) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y
% 4.87/5.30 ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25679) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25683) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 4.87/5.30 complement( join( complement( X ), Y ) ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 9]: (25679) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( Y )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25685) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 4.87/5.30 Y ) ) ==> meet( X, complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (25683) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 4.87/5.30 complement( join( complement( X ), Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (424) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join(
% 4.87/5.30 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 4.87/5.30 parent0: (25685) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X )
% 4.87/5.30 , Y ) ) ==> meet( X, complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25687) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 4.87/5.30 }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25692) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement
% 4.87/5.30 ( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 parent1[0; 7]: (25687) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement
% 4.87/5.30 ( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := join( complement( X ), complement( Y ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ),
% 4.87/5.30 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.30 parent0: (25692) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement
% 4.87/5.30 ( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25694) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 4.87/5.30 parent0[0]: (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25697) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 4.87/5.30 join( X, Y ) ), Y ) }.
% 4.87/5.30 parent0[0]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 4.87/5.30 = join( join( Z, X ), Y ) }.
% 4.87/5.30 parent1[0; 4]: (25694) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := join( X, Y )
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := join( X, Y )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25699) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join
% 4.87/5.30 ( X, X ), Y ), Y ) }.
% 4.87/5.30 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 4.87/5.30 join( X, Y ), Z ) }.
% 4.87/5.30 parent1[0; 5]: (25697) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join
% 4.87/5.30 ( X, join( X, Y ) ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := X
% 4.87/5.30 Z := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25700) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0[0]: (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.30 parent1[0; 6]: (25699) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join
% 4.87/5.30 ( join( X, X ), Y ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25701) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0[0]: (25700) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 4.87/5.30 Y ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (427) {G16,W9,D4,L1,V2,M1} P(421,16);d(1);d(421) { join( join
% 4.87/5.30 ( X, Y ), Y ) ==> join( X, Y ) }.
% 4.87/5.30 parent0: (25701) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25710) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent0[0]: (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.30 parent1[0; 7]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 4.87/5.30 X ) = join( join( Z, X ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (428) {G16,W9,D4,L1,V2,M1} P(421,16) { join( join( X, Y ), X )
% 4.87/5.30 ==> join( X, Y ) }.
% 4.87/5.30 parent0: (25710) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25713) {G14,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 4]: (411) {G13,W7,D4,L1,V1,M1} P(400,56) { meet( top, X ) ==>
% 4.87/5.30 complement( complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (434) {G15,W5,D3,L1,V1,M1} S(411);d(412) { meet( top, X ) ==>
% 4.87/5.30 X }.
% 4.87/5.30 parent0: (25713) {G14,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25715) {G10,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet(
% 4.87/5.30 X, Y ) ) ) }.
% 4.87/5.30 parent0[0]: (333) {G10,W8,D5,L1,V2,M1} P(27,23);d(314) { join( X,
% 4.87/5.30 complement( meet( X, Y ) ) ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25716) {G2,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet(
% 4.87/5.30 Y, X ) ) ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 5]: (25715) {G10,W8,D5,L1,V2,M1} { top ==> join( X, complement
% 4.87/5.30 ( meet( X, Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25719) {G2,W8,D5,L1,V2,M1} { join( X, complement( meet( Y, X ) )
% 4.87/5.30 ) ==> top }.
% 4.87/5.30 parent0[0]: (25716) {G2,W8,D5,L1,V2,M1} { top ==> join( X, complement(
% 4.87/5.30 meet( Y, X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (464) {G11,W8,D5,L1,V2,M1} P(53,333) { join( X, complement(
% 4.87/5.30 meet( Y, X ) ) ) ==> top }.
% 4.87/5.30 parent0: (25719) {G2,W8,D5,L1,V2,M1} { join( X, complement( meet( Y, X ) )
% 4.87/5.30 ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25721) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 4.87/5.30 complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25723) {G1,W9,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 4.87/5.30 ) ==> complement( top ) }.
% 4.87/5.30 parent0[0]: (464) {G11,W8,D5,L1,V2,M1} P(53,333) { join( X, complement(
% 4.87/5.30 meet( Y, X ) ) ) ==> top }.
% 4.87/5.30 parent1[0; 8]: (25721) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( X ), complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := meet( Y, complement( X ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25724) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.30 zero }.
% 4.87/5.30 parent1[0; 7]: (25723) {G1,W9,D5,L1,V2,M1} { meet( X, meet( Y, complement
% 4.87/5.30 ( X ) ) ) ==> complement( top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (480) {G12,W8,D5,L1,V2,M1} P(464,3);d(55) { meet( X, meet( Y,
% 4.87/5.30 complement( X ) ) ) ==> zero }.
% 4.87/5.30 parent0: (25724) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25727) {G12,W8,D5,L1,V2,M1} { zero ==> meet( X, meet( Y,
% 4.87/5.30 complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (480) {G12,W8,D5,L1,V2,M1} P(464,3);d(55) { meet( X, meet( Y,
% 4.87/5.30 complement( X ) ) ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25728) {G13,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 4.87/5.30 meet( Y, X ) ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 7]: (25727) {G12,W8,D5,L1,V2,M1} { zero ==> meet( X, meet( Y,
% 4.87/5.30 complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25729) {G13,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 parent0[0]: (25728) {G13,W8,D4,L1,V2,M1} { zero ==> meet( complement( X )
% 4.87/5.30 , meet( Y, X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (483) {G15,W8,D4,L1,V2,M1} P(412,480) { meet( complement( X )
% 4.87/5.30 , meet( Y, X ) ) ==> zero }.
% 4.87/5.30 parent0: (25729) {G13,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X
% 4.87/5.30 ) ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25730) {G15,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 4.87/5.30 meet( Y, X ) ) }.
% 4.87/5.30 parent0[0]: (483) {G15,W8,D4,L1,V2,M1} P(412,480) { meet( complement( X ),
% 4.87/5.30 meet( Y, X ) ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25731) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 2]: (25730) {G15,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 4.87/5.30 ), meet( Y, X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( Y, X )
% 4.87/5.30 Y := complement( X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25735) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 parent0[0]: (25731) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 4.87/5.30 complement( X ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (488) {G16,W8,D4,L1,V2,M1} P(483,53) { meet( meet( Y, X ),
% 4.87/5.30 complement( X ) ) ==> zero }.
% 4.87/5.30 parent0: (25735) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25739) {G16,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 4.87/5.30 complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (488) {G16,W8,D4,L1,V2,M1} P(483,53) { meet( meet( Y, X ),
% 4.87/5.30 complement( X ) ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25741) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 4.87/5.30 complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 3]: (25739) {G16,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y )
% 4.87/5.30 , complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25747) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( X )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 parent0[0]: (25741) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 4.87/5.30 complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (491) {G17,W8,D4,L1,V2,M1} P(53,488) { meet( meet( Y, X ),
% 4.87/5.30 complement( Y ) ) ==> zero }.
% 4.87/5.30 parent0: (25747) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( X )
% 4.87/5.30 ) ==> zero }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25749) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25752) {G2,W14,D7,L1,V2,M1} { meet( X, Y ) ==> join( zero,
% 4.87/5.30 complement( join( complement( meet( X, Y ) ), complement( X ) ) ) ) }.
% 4.87/5.30 parent0[0]: (491) {G17,W8,D4,L1,V2,M1} P(53,488) { meet( meet( Y, X ),
% 4.87/5.30 complement( Y ) ) ==> zero }.
% 4.87/5.30 parent1[0; 5]: (25749) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := meet( X, Y )
% 4.87/5.30 Y := complement( X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25753) {G3,W12,D6,L1,V2,M1} { meet( X, Y ) ==> complement( join
% 4.87/5.30 ( complement( meet( X, Y ) ), complement( X ) ) ) }.
% 4.87/5.30 parent0[0]: (400) {G12,W7,D4,L1,V1,M1} P(387,353) { join( zero, complement
% 4.87/5.30 ( X ) ) ==> complement( X ) }.
% 4.87/5.30 parent1[0; 4]: (25752) {G2,W14,D7,L1,V2,M1} { meet( X, Y ) ==> join( zero
% 4.87/5.30 , complement( join( complement( meet( X, Y ) ), complement( X ) ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := join( complement( meet( X, Y ) ), complement( X ) )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25754) {G1,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 4.87/5.30 , X ) }.
% 4.87/5.30 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 4.87/5.30 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 4.87/5.30 parent1[0; 4]: (25753) {G3,W12,D6,L1,V2,M1} { meet( X, Y ) ==> complement
% 4.87/5.30 ( join( complement( meet( X, Y ) ), complement( X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( X, Y )
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25755) {G1,W9,D4,L1,V2,M1} { meet( meet( X, Y ), X ) ==> meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0[0]: (25754) {G1,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X,
% 4.87/5.30 Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (493) {G18,W9,D4,L1,V2,M1} P(491,27);d(400);d(3) { meet( meet
% 4.87/5.30 ( X, Y ), X ) ==> meet( X, Y ) }.
% 4.87/5.30 parent0: (25755) {G1,W9,D4,L1,V2,M1} { meet( meet( X, Y ), X ) ==> meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25756) {G18,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 4.87/5.30 , X ) }.
% 4.87/5.30 parent0[0]: (493) {G18,W9,D4,L1,V2,M1} P(491,27);d(400);d(3) { meet( meet(
% 4.87/5.30 X, Y ), X ) ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25759) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X, meet( X,
% 4.87/5.30 Y ) ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 4]: (25756) {G18,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet
% 4.87/5.30 ( X, Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := meet( X, Y )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25772) {G2,W9,D4,L1,V2,M1} { meet( X, meet( X, Y ) ) ==> meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0[0]: (25759) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X, meet(
% 4.87/5.30 X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (504) {G19,W9,D4,L1,V2,M1} P(493,53) { meet( X, meet( X, Y ) )
% 4.87/5.30 ==> meet( X, Y ) }.
% 4.87/5.30 parent0: (25772) {G2,W9,D4,L1,V2,M1} { meet( X, meet( X, Y ) ) ==> meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25773) {G19,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X, meet( X,
% 4.87/5.30 Y ) ) }.
% 4.87/5.30 parent0[0]: (504) {G19,W9,D4,L1,V2,M1} P(493,53) { meet( X, meet( X, Y ) )
% 4.87/5.30 ==> meet( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25776) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 4.87/5.30 , X ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 4]: (25773) {G19,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X,
% 4.87/5.30 meet( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := meet( X, Y )
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25778) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( Y, X )
% 4.87/5.30 , X ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 5]: (25776) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet(
% 4.87/5.30 X, Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25780) {G2,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( meet( Y, X )
% 4.87/5.30 , X ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 1]: (25778) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet(
% 4.87/5.30 Y, X ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25781) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X,
% 4.87/5.30 Y ) ) }.
% 4.87/5.30 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.30 Y ) }.
% 4.87/5.30 parent1[0; 4]: (25780) {G2,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( meet(
% 4.87/5.30 Y, X ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := meet( X, Y )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25785) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0[0]: (25781) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet(
% 4.87/5.30 X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (506) {G20,W9,D4,L1,V2,M1} P(53,504) { meet( X, meet( Y, X ) )
% 4.87/5.30 ==> meet( Y, X ) }.
% 4.87/5.30 parent0: (25785) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 4.87/5.30 , Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25791) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 4.87/5.30 , Y ) }.
% 4.87/5.30 parent0[0]: (427) {G16,W9,D4,L1,V2,M1} P(421,16);d(1);d(421) { join( join(
% 4.87/5.30 X, Y ), Y ) ==> join( X, Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25794) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 4.87/5.30 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 4.87/5.30 ( X ), Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 parent1[0; 11]: (25791) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 4.87/5.30 ( X, Y ), Y ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := meet( X, Y )
% 4.87/5.30 Y := complement( join( complement( X ), Y ) )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25795) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 4.87/5.30 complement( X ), Y ) ) ) }.
% 4.87/5.30 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.30 parent1[0; 1]: (25794) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 4.87/5.30 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 4.87/5.30 ( complement( X ), Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25802) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement
% 4.87/5.30 ( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (424) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join(
% 4.87/5.30 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 4.87/5.30 parent1[0; 4]: (25795) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 4.87/5.30 join( complement( X ), Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25803) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 4.87/5.30 ) ==> X }.
% 4.87/5.30 parent0[0]: (25802) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 4.87/5.30 complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (510) {G17,W8,D5,L1,V2,M1} P(27,427);d(424) { join( X, meet( X
% 4.87/5.30 , complement( Y ) ) ) ==> X }.
% 4.87/5.30 parent0: (25803) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 4.87/5.30 ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25805) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement
% 4.87/5.30 ( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (510) {G17,W8,D5,L1,V2,M1} P(27,427);d(424) { join( X, meet( X
% 4.87/5.30 , complement( Y ) ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25806) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 6]: (25805) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 4.87/5.30 complement( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := complement( Y )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25807) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 4.87/5.30 parent0[0]: (25806) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (519) {G18,W7,D4,L1,V2,M1} P(412,510) { join( Y, meet( Y, X )
% 4.87/5.30 ) ==> Y }.
% 4.87/5.30 parent0: (25807) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25809) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 4.87/5.30 parent0[0]: (519) {G18,W7,D4,L1,V2,M1} P(412,510) { join( Y, meet( Y, X ) )
% 4.87/5.30 ==> Y }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25810) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 4.87/5.30 parent0[0]: (506) {G20,W9,D4,L1,V2,M1} P(53,504) { meet( X, meet( Y, X ) )
% 4.87/5.30 ==> meet( Y, X ) }.
% 4.87/5.30 parent1[0; 4]: (25809) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y )
% 4.87/5.30 ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := meet( Y, X )
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25811) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 4.87/5.30 parent0[0]: (25810) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (532) {G21,W7,D4,L1,V2,M1} P(506,519) { join( X, meet( Y, X )
% 4.87/5.30 ) ==> X }.
% 4.87/5.30 parent0: (25811) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25812) {G21,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 4.87/5.30 parent0[0]: (532) {G21,W7,D4,L1,V2,M1} P(506,519) { join( X, meet( Y, X ) )
% 4.87/5.30 ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25813) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 4.87/5.30 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.30 parent1[0; 2]: (25812) {G21,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X )
% 4.87/5.30 ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := meet( Y, X )
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25816) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 4.87/5.30 parent0[0]: (25813) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X )
% 4.87/5.30 }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (574) {G22,W7,D4,L1,V2,M1} P(532,0) { join( meet( Y, X ), X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 parent0: (25816) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25818) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 4.87/5.30 converse( join( X, converse( Y ) ) ) }.
% 4.87/5.30 parent0[0]: (40) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 4.87/5.30 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25820) {G2,W11,D6,L1,V2,M1} { join( converse( meet( X, converse
% 4.87/5.30 ( Y ) ) ), Y ) ==> converse( converse( Y ) ) }.
% 4.87/5.30 parent0[0]: (574) {G22,W7,D4,L1,V2,M1} P(532,0) { join( meet( Y, X ), X )
% 4.87/5.30 ==> X }.
% 4.87/5.30 parent1[0; 9]: (25818) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 4.87/5.30 converse( join( X, converse( Y ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := converse( Y )
% 4.87/5.30 Y := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := meet( X, converse( Y ) )
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25821) {G1,W9,D6,L1,V2,M1} { join( converse( meet( X, converse(
% 4.87/5.30 Y ) ) ), Y ) ==> Y }.
% 4.87/5.30 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 8]: (25820) {G2,W11,D6,L1,V2,M1} { join( converse( meet( X,
% 4.87/5.30 converse( Y ) ) ), Y ) ==> converse( converse( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (577) {G23,W9,D6,L1,V2,M1} P(574,40);d(7) { join( converse(
% 4.87/5.30 meet( X, converse( Y ) ) ), Y ) ==> Y }.
% 4.87/5.30 parent0: (25821) {G1,W9,D6,L1,V2,M1} { join( converse( meet( X, converse(
% 4.87/5.30 Y ) ) ), Y ) ==> Y }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25824) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 4.87/5.30 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 4.87/5.30 parent0[0]: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z
% 4.87/5.30 ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := Z
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25840) {G3,W12,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 4.87/5.30 Y ), complement( join( Y, X ) ) ) }.
% 4.87/5.30 parent0[0]: (428) {G16,W9,D4,L1,V2,M1} P(421,16) { join( join( X, Y ), X )
% 4.87/5.30 ==> join( X, Y ) }.
% 4.87/5.30 parent1[0; 5]: (25824) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join(
% 4.87/5.30 join( join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 Z := X
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25847) {G4,W10,D5,L1,V2,M1} { top ==> join( join( X, Y ),
% 4.87/5.30 complement( join( Y, X ) ) ) }.
% 4.87/5.30 parent0[0]: (314) {G9,W5,D3,L1,V1,M1} P(313,20);d(24);d(306);d(313) { join
% 4.87/5.30 ( X, top ) ==> top }.
% 4.87/5.30 parent1[0; 1]: (25840) {G3,W12,D5,L1,V2,M1} { join( X, top ) ==> join(
% 4.87/5.30 join( X, Y ), complement( join( Y, X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25848) {G4,W10,D5,L1,V2,M1} { join( join( X, Y ), complement(
% 4.87/5.30 join( Y, X ) ) ) ==> top }.
% 4.87/5.30 parent0[0]: (25847) {G4,W10,D5,L1,V2,M1} { top ==> join( join( X, Y ),
% 4.87/5.30 complement( join( Y, X ) ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (583) {G17,W10,D5,L1,V2,M1} P(428,21);d(314) { join( join( X,
% 4.87/5.30 Y ), complement( join( Y, X ) ) ) ==> top }.
% 4.87/5.30 parent0: (25848) {G4,W10,D5,L1,V2,M1} { join( join( X, Y ), complement(
% 4.87/5.30 join( Y, X ) ) ) ==> top }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25850) {G15,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 4.87/5.30 join( complement( X ), complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ),
% 4.87/5.30 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25851) {G15,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 4.87/5.30 , Y ) ) ==> join( X, complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.30 ( complement( X ) ) ==> X }.
% 4.87/5.30 parent1[0; 7]: (25850) {G15,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 4.87/5.30 ==> join( complement( X ), complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 end
% 4.87/5.30 substitution1:
% 4.87/5.30 X := complement( X )
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 subsumption: (795) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet(
% 4.87/5.30 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 4.87/5.30 parent0: (25851) {G15,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 4.87/5.30 , Y ) ) ==> join( X, complement( Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30 permutation0:
% 4.87/5.30 0 ==> 0
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 eqswap: (25856) {G15,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 4.87/5.30 join( complement( X ), complement( Y ) ) }.
% 4.87/5.30 parent0[0]: (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ),
% 4.87/5.30 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.30 substitution0:
% 4.87/5.30 X := X
% 4.87/5.30 Y := Y
% 4.87/5.30 end
% 4.87/5.30
% 4.87/5.30 paramod: (25858) {G15,W10,D5,L1,V2,M1} { complement( meet( X, complement(
% 4.87/5.30 Y ) ) ) ==> join( complement( X ), Y ) }.
% 4.87/5.30 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 9]: (25856) {G15,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 4.87/5.31 ==> join( complement( X ), complement( Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := complement( Y )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (796) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet( Y,
% 4.87/5.31 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 4.87/5.31 parent0: (25858) {G15,W10,D5,L1,V2,M1} { complement( meet( X, complement(
% 4.87/5.31 Y ) ) ) ==> join( complement( X ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25863) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (424) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join(
% 4.87/5.31 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 4.87/5.31 parent1[0; 5]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 4.87/5.31 complement( join( complement( X ), Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1002) {G16,W10,D5,L1,V2,M1} S(27);d(424) { join( meet( X, Y )
% 4.87/5.31 , meet( X, complement( Y ) ) ) ==> X }.
% 4.87/5.31 parent0: (25863) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25867) {G3,W8,D6,L1,V1,M1} { join( X, converse( complement(
% 4.87/5.31 converse( X ) ) ) ) ==> top }.
% 4.87/5.31 parent0[0]: (316) {G10,W4,D3,L1,V0,M1} P(314,204) { converse( top ) ==> top
% 4.87/5.31 }.
% 4.87/5.31 parent1[0; 7]: (190) {G2,W9,D6,L1,V1,M1} P(11,39) { join( X, converse(
% 4.87/5.31 complement( converse( X ) ) ) ) ==> converse( top ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1007) {G11,W8,D6,L1,V1,M1} S(190);d(316) { join( X, converse
% 4.87/5.31 ( complement( converse( X ) ) ) ) ==> top }.
% 4.87/5.31 parent0: (25867) {G3,W8,D6,L1,V1,M1} { join( X, converse( complement(
% 4.87/5.31 converse( X ) ) ) ) ==> top }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25869) {G16,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X
% 4.87/5.31 , complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (1002) {G16,W10,D5,L1,V2,M1} S(27);d(424) { join( meet( X, Y )
% 4.87/5.31 , meet( X, complement( Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25870) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet( X
% 4.87/5.31 , complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 4.87/5.31 Y ) }.
% 4.87/5.31 parent1[0; 3]: (25869) {G16,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 4.87/5.31 meet( X, complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25874) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (25870) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet
% 4.87/5.31 ( X, complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1174) {G17,W10,D5,L1,V2,M1} P(53,1002) { join( meet( Y, X ),
% 4.87/5.31 meet( X, complement( Y ) ) ) ==> X }.
% 4.87/5.31 parent0: (25874) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25878) {G17,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ), meet( Y
% 4.87/5.31 , complement( X ) ) ) }.
% 4.87/5.31 parent0[0]: (1174) {G17,W10,D5,L1,V2,M1} P(53,1002) { join( meet( Y, X ),
% 4.87/5.31 meet( X, complement( Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25879) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 4.87/5.31 ) ), meet( Y, X ) ) }.
% 4.87/5.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.31 parent1[0; 2]: (25878) {G17,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ),
% 4.87/5.31 meet( Y, complement( X ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( Y, X )
% 4.87/5.31 Y := meet( X, complement( Y ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25882) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 4.87/5.31 meet( Y, X ) ) ==> X }.
% 4.87/5.31 parent0[0]: (25879) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement
% 4.87/5.31 ( Y ) ), meet( Y, X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1226) {G18,W10,D5,L1,V2,M1} P(1174,0) { join( meet( Y,
% 4.87/5.31 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 4.87/5.31 parent0: (25882) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 4.87/5.31 meet( Y, X ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25884) {G15,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 4.87/5.31 complement( join( X, complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (423) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( X,
% 4.87/5.31 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25887) {G16,W11,D5,L1,V2,M1} { meet( complement( join( X, Y ) )
% 4.87/5.31 , join( Y, X ) ) ==> complement( top ) }.
% 4.87/5.31 parent0[0]: (583) {G17,W10,D5,L1,V2,M1} P(428,21);d(314) { join( join( X, Y
% 4.87/5.31 ), complement( join( Y, X ) ) ) ==> top }.
% 4.87/5.31 parent1[0; 10]: (25884) {G15,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 4.87/5.31 ==> complement( join( X, complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := join( X, Y )
% 4.87/5.31 Y := join( Y, X )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25888) {G2,W10,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 4.87/5.31 join( Y, X ) ) ==> zero }.
% 4.87/5.31 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 4.87/5.31 zero }.
% 4.87/5.31 parent1[0; 9]: (25887) {G16,W11,D5,L1,V2,M1} { meet( complement( join( X,
% 4.87/5.31 Y ) ), join( Y, X ) ) ==> complement( top ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1413) {G18,W10,D5,L1,V2,M1} P(583,423);d(55) { meet(
% 4.87/5.31 complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 4.87/5.31 parent0: (25888) {G2,W10,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 4.87/5.31 join( Y, X ) ) ==> zero }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25891) {G15,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 4.87/5.31 complement( join( X, complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (423) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( X,
% 4.87/5.31 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25895) {G15,W10,D4,L1,V2,M1} { meet( complement( X ), complement
% 4.87/5.31 ( Y ) ) ==> complement( join( X, Y ) ) }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 9]: (25891) {G15,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 4.87/5.31 ==> complement( join( X, complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := complement( Y )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1428) {G16,W10,D4,L1,V2,M1} P(412,423) { meet( complement( Y
% 4.87/5.31 ), complement( X ) ) ==> complement( join( Y, X ) ) }.
% 4.87/5.31 parent0: (25895) {G15,W10,D4,L1,V2,M1} { meet( complement( X ), complement
% 4.87/5.31 ( Y ) ) ==> complement( join( X, Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25898) {G15,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 4.87/5.31 complement( join( X, complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (423) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( X,
% 4.87/5.31 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25899) {G2,W14,D6,L1,V3,M1} { meet( complement( join( X, Y ) ),
% 4.87/5.31 Z ) ==> complement( join( join( X, complement( Z ) ), Y ) ) }.
% 4.87/5.31 parent0[0]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 4.87/5.31 = join( join( Z, X ), Y ) }.
% 4.87/5.31 parent1[0; 8]: (25898) {G15,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 4.87/5.31 ==> complement( join( X, complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := complement( Z )
% 4.87/5.31 Y := Y
% 4.87/5.31 Z := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := join( X, Y )
% 4.87/5.31 Y := Z
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25902) {G2,W14,D6,L1,V3,M1} { complement( join( join( X,
% 4.87/5.31 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 4.87/5.31 parent0[0]: (25899) {G2,W14,D6,L1,V3,M1} { meet( complement( join( X, Y )
% 4.87/5.31 ), Z ) ==> complement( join( join( X, complement( Z ) ), Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 Z := Z
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1430) {G16,W14,D6,L1,V3,M1} P(16,423) { complement( join(
% 4.87/5.31 join( X, complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z
% 4.87/5.31 ) }.
% 4.87/5.31 parent0: (25902) {G2,W14,D6,L1,V3,M1} { complement( join( join( X,
% 4.87/5.31 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 Z := Z
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25904) {G18,W10,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 4.87/5.31 , Y ) ), join( Y, X ) ) }.
% 4.87/5.31 parent0[0]: (1413) {G18,W10,D5,L1,V2,M1} P(583,423);d(55) { meet(
% 4.87/5.31 complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25910) {G16,W13,D6,L1,V2,M1} { zero ==> meet( complement( join(
% 4.87/5.31 complement( X ), complement( Y ) ) ), complement( meet( Y, X ) ) ) }.
% 4.87/5.31 parent0[0]: (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ),
% 4.87/5.31 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.31 parent1[0; 9]: (25904) {G18,W10,D5,L1,V2,M1} { zero ==> meet( complement(
% 4.87/5.31 join( X, Y ) ), join( Y, X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := complement( X )
% 4.87/5.31 Y := complement( Y )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25912) {G17,W12,D6,L1,V2,M1} { zero ==> complement( join( join(
% 4.87/5.31 complement( X ), complement( Y ) ), meet( Y, X ) ) ) }.
% 4.87/5.31 parent0[0]: (1428) {G16,W10,D4,L1,V2,M1} P(412,423) { meet( complement( Y )
% 4.87/5.31 , complement( X ) ) ==> complement( join( Y, X ) ) }.
% 4.87/5.31 parent1[0; 2]: (25910) {G16,W13,D6,L1,V2,M1} { zero ==> meet( complement(
% 4.87/5.31 join( complement( X ), complement( Y ) ) ), complement( meet( Y, X ) ) )
% 4.87/5.31 }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( Y, X )
% 4.87/5.31 Y := join( complement( X ), complement( Y ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25913) {G17,W11,D6,L1,V2,M1} { zero ==> meet( complement( join(
% 4.87/5.31 complement( X ), meet( Y, X ) ) ), Y ) }.
% 4.87/5.31 parent0[0]: (1430) {G16,W14,D6,L1,V3,M1} P(16,423) { complement( join( join
% 4.87/5.31 ( X, complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z )
% 4.87/5.31 }.
% 4.87/5.31 parent1[0; 2]: (25912) {G17,W12,D6,L1,V2,M1} { zero ==> complement( join(
% 4.87/5.31 join( complement( X ), complement( Y ) ), meet( Y, X ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := complement( X )
% 4.87/5.31 Y := meet( Y, X )
% 4.87/5.31 Z := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25914) {G16,W10,D6,L1,V2,M1} { zero ==> meet( meet( X,
% 4.87/5.31 complement( meet( Y, X ) ) ), Y ) }.
% 4.87/5.31 parent0[0]: (424) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join(
% 4.87/5.31 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 4.87/5.31 parent1[0; 3]: (25913) {G17,W11,D6,L1,V2,M1} { zero ==> meet( complement(
% 4.87/5.31 join( complement( X ), meet( Y, X ) ) ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( Y, X )
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25915) {G16,W10,D6,L1,V2,M1} { meet( meet( X, complement( meet( Y
% 4.87/5.31 , X ) ) ), Y ) ==> zero }.
% 4.87/5.31 parent0[0]: (25914) {G16,W10,D6,L1,V2,M1} { zero ==> meet( meet( X,
% 4.87/5.31 complement( meet( Y, X ) ) ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (1743) {G19,W10,D6,L1,V2,M1} P(425,1413);d(1428);d(1430);d(424
% 4.87/5.31 ) { meet( meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 4.87/5.31 parent0: (25915) {G16,W10,D6,L1,V2,M1} { meet( meet( X, complement( meet(
% 4.87/5.31 Y, X ) ) ), Y ) ==> zero }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25917) {G18,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 4.87/5.31 ) ), meet( Y, X ) ) }.
% 4.87/5.31 parent0[0]: (1226) {G18,W10,D5,L1,V2,M1} P(1174,0) { join( meet( Y,
% 4.87/5.31 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25921) {G19,W13,D8,L1,V2,M1} { X ==> join( meet( X, complement(
% 4.87/5.31 meet( Y, complement( meet( X, Y ) ) ) ) ), zero ) }.
% 4.87/5.31 parent0[0]: (1743) {G19,W10,D6,L1,V2,M1} P(425,1413);d(1428);d(1430);d(424)
% 4.87/5.31 { meet( meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 4.87/5.31 parent1[0; 12]: (25917) {G18,W10,D5,L1,V2,M1} { X ==> join( meet( X,
% 4.87/5.31 complement( Y ) ), meet( Y, X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := meet( Y, complement( meet( X, Y ) ) )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25922) {G15,W11,D7,L1,V2,M1} { X ==> meet( X, complement( meet(
% 4.87/5.31 Y, complement( meet( X, Y ) ) ) ) ) }.
% 4.87/5.31 parent0[0]: (415) {G14,W5,D3,L1,V1,M1} P(406,335) { join( X, zero ) ==> X
% 4.87/5.31 }.
% 4.87/5.31 parent1[0; 2]: (25921) {G19,W13,D8,L1,V2,M1} { X ==> join( meet( X,
% 4.87/5.31 complement( meet( Y, complement( meet( X, Y ) ) ) ) ), zero ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( X, complement( meet( Y, complement( meet( X, Y ) ) ) ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25923) {G16,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement(
% 4.87/5.31 Y ), meet( X, Y ) ) ) }.
% 4.87/5.31 parent0[0]: (796) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet( Y,
% 4.87/5.31 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 4.87/5.31 parent1[0; 4]: (25922) {G15,W11,D7,L1,V2,M1} { X ==> meet( X, complement(
% 4.87/5.31 meet( Y, complement( meet( X, Y ) ) ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( X, Y )
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25924) {G16,W10,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 4.87/5.31 meet( X, Y ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (25923) {G16,W10,D5,L1,V2,M1} { X ==> meet( X, join(
% 4.87/5.31 complement( Y ), meet( X, Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2148) {G20,W10,D5,L1,V2,M1} P(1743,1226);d(415);d(796) { meet
% 4.87/5.31 ( Y, join( complement( X ), meet( Y, X ) ) ) ==> Y }.
% 4.87/5.31 parent0: (25924) {G16,W10,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 4.87/5.31 meet( X, Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25925) {G20,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement( Y
% 4.87/5.31 ), meet( X, Y ) ) ) }.
% 4.87/5.31 parent0[0]: (2148) {G20,W10,D5,L1,V2,M1} P(1743,1226);d(415);d(796) { meet
% 4.87/5.31 ( Y, join( complement( X ), meet( Y, X ) ) ) ==> Y }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25926) {G1,W10,D5,L1,V2,M1} { X ==> meet( X, join( meet( X, Y )
% 4.87/5.31 , complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 4.87/5.31 parent1[0; 4]: (25925) {G20,W10,D5,L1,V2,M1} { X ==> meet( X, join(
% 4.87/5.31 complement( Y ), meet( X, Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := complement( Y )
% 4.87/5.31 Y := meet( X, Y )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25929) {G1,W10,D5,L1,V2,M1} { meet( X, join( meet( X, Y ),
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (25926) {G1,W10,D5,L1,V2,M1} { X ==> meet( X, join( meet( X, Y
% 4.87/5.31 ), complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2172) {G21,W10,D5,L1,V2,M1} P(0,2148) { meet( Y, join( meet(
% 4.87/5.31 Y, X ), complement( X ) ) ) ==> Y }.
% 4.87/5.31 parent0: (25929) {G1,W10,D5,L1,V2,M1} { meet( X, join( meet( X, Y ),
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25931) {G16,W10,D5,L1,V2,M1} { join( X, complement( Y ) ) ==>
% 4.87/5.31 complement( meet( complement( X ), Y ) ) }.
% 4.87/5.31 parent0[0]: (795) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet(
% 4.87/5.31 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25936) {G17,W14,D7,L1,V2,M1} { join( X, complement( join( meet(
% 4.87/5.31 complement( X ), Y ), complement( Y ) ) ) ) ==> complement( complement( X
% 4.87/5.31 ) ) }.
% 4.87/5.31 parent0[0]: (2172) {G21,W10,D5,L1,V2,M1} P(0,2148) { meet( Y, join( meet( Y
% 4.87/5.31 , X ), complement( X ) ) ) ==> Y }.
% 4.87/5.31 parent1[0; 12]: (25931) {G16,W10,D5,L1,V2,M1} { join( X, complement( Y ) )
% 4.87/5.31 ==> complement( meet( complement( X ), Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := complement( X )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := join( meet( complement( X ), Y ), complement( Y ) )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25937) {G15,W12,D7,L1,V2,M1} { join( X, complement( join( meet(
% 4.87/5.31 complement( X ), Y ), complement( Y ) ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 11]: (25936) {G17,W14,D7,L1,V2,M1} { join( X, complement( join
% 4.87/5.31 ( meet( complement( X ), Y ), complement( Y ) ) ) ) ==> complement(
% 4.87/5.31 complement( X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25938) {G16,W11,D7,L1,V2,M1} { join( X, meet( complement( meet(
% 4.87/5.31 complement( X ), Y ) ), Y ) ) ==> X }.
% 4.87/5.31 parent0[0]: (423) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join( X,
% 4.87/5.31 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 4.87/5.31 parent1[0; 3]: (25937) {G15,W12,D7,L1,V2,M1} { join( X, complement( join(
% 4.87/5.31 meet( complement( X ), Y ), complement( Y ) ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( complement( X ), Y )
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25939) {G17,W10,D6,L1,V2,M1} { join( X, meet( join( X,
% 4.87/5.31 complement( Y ) ), Y ) ) ==> X }.
% 4.87/5.31 parent0[0]: (795) {G16,W10,D5,L1,V2,M1} P(412,425) { complement( meet(
% 4.87/5.31 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 4.87/5.31 parent1[0; 4]: (25938) {G16,W11,D7,L1,V2,M1} { join( X, meet( complement(
% 4.87/5.31 meet( complement( X ), Y ) ), Y ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2246) {G22,W10,D6,L1,V2,M1} P(2172,795);d(412);d(423);d(795)
% 4.87/5.31 { join( X, meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 4.87/5.31 parent0: (25939) {G17,W10,D6,L1,V2,M1} { join( X, meet( join( X,
% 4.87/5.31 complement( Y ) ), Y ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25942) {G22,W10,D6,L1,V2,M1} { X ==> join( X, meet( join( X,
% 4.87/5.31 complement( Y ) ), Y ) ) }.
% 4.87/5.31 parent0[0]: (2246) {G22,W10,D6,L1,V2,M1} P(2172,795);d(412);d(423);d(795)
% 4.87/5.31 { join( X, meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25943) {G15,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X, Y )
% 4.87/5.31 , complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 7]: (25942) {G22,W10,D6,L1,V2,M1} { X ==> join( X, meet( join(
% 4.87/5.31 X, complement( Y ) ), Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := complement( Y )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25944) {G15,W10,D5,L1,V2,M1} { join( X, meet( join( X, Y ),
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (25943) {G15,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X,
% 4.87/5.31 Y ), complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2290) {G23,W10,D5,L1,V2,M1} P(412,2246) { join( Y, meet( join
% 4.87/5.31 ( Y, X ), complement( X ) ) ) ==> Y }.
% 4.87/5.31 parent0: (25944) {G15,W10,D5,L1,V2,M1} { join( X, meet( join( X, Y ),
% 4.87/5.31 complement( Y ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25946) {G23,W10,D5,L1,V2,M1} { X ==> join( X, meet( join( X, Y )
% 4.87/5.31 , complement( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (2290) {G23,W10,D5,L1,V2,M1} P(412,2246) { join( Y, meet( join
% 4.87/5.31 ( Y, X ), complement( X ) ) ) ==> Y }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25948) {G12,W11,D8,L1,V1,M1} { X ==> join( X, meet( top,
% 4.87/5.31 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 4.87/5.31 parent0[0]: (1007) {G11,W8,D6,L1,V1,M1} S(190);d(316) { join( X, converse(
% 4.87/5.31 complement( converse( X ) ) ) ) ==> top }.
% 4.87/5.31 parent1[0; 5]: (25946) {G23,W10,D5,L1,V2,M1} { X ==> join( X, meet( join(
% 4.87/5.31 X, Y ), complement( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := converse( complement( converse( X ) ) )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25949) {G13,W9,D7,L1,V1,M1} { X ==> join( X, complement(
% 4.87/5.31 converse( complement( converse( X ) ) ) ) ) }.
% 4.87/5.31 parent0[0]: (434) {G15,W5,D3,L1,V1,M1} S(411);d(412) { meet( top, X ) ==> X
% 4.87/5.31 }.
% 4.87/5.31 parent1[0; 4]: (25948) {G12,W11,D8,L1,V1,M1} { X ==> join( X, meet( top,
% 4.87/5.31 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := complement( converse( complement( converse( X ) ) ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25950) {G13,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 4.87/5.31 complement( converse( X ) ) ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (25949) {G13,W9,D7,L1,V1,M1} { X ==> join( X, complement(
% 4.87/5.31 converse( complement( converse( X ) ) ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2479) {G24,W9,D7,L1,V1,M1} P(1007,2290);d(434) { join( X,
% 4.87/5.31 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 4.87/5.31 parent0: (25950) {G13,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 4.87/5.31 complement( converse( X ) ) ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25952) {G15,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 4.87/5.31 complement( join( complement( X ), Y ) ) }.
% 4.87/5.31 parent0[0]: (424) {G15,W10,D5,L1,V2,M1} P(412,3) { complement( join(
% 4.87/5.31 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25955) {G16,W13,D9,L1,V1,M1} { meet( X, complement( complement(
% 4.87/5.31 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==>
% 4.87/5.31 complement( complement( X ) ) }.
% 4.87/5.31 parent0[0]: (2479) {G24,W9,D7,L1,V1,M1} P(1007,2290);d(434) { join( X,
% 4.87/5.31 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 4.87/5.31 parent1[0; 11]: (25952) {G15,W10,D5,L1,V2,M1} { meet( X, complement( Y ) )
% 4.87/5.31 ==> complement( join( complement( X ), Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := complement( X )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := complement( converse( complement( converse( complement( X ) ) ) ) )
% 4.87/5.31
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25957) {G15,W11,D9,L1,V1,M1} { meet( X, complement( complement(
% 4.87/5.31 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 10]: (25955) {G16,W13,D9,L1,V1,M1} { meet( X, complement(
% 4.87/5.31 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 4.87/5.31 ==> complement( complement( X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25959) {G15,W9,D7,L1,V1,M1} { meet( X, converse( complement(
% 4.87/5.31 converse( complement( X ) ) ) ) ) ==> X }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 3]: (25957) {G15,W11,D9,L1,V1,M1} { meet( X, complement(
% 4.87/5.31 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 4.87/5.31 ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := converse( complement( converse( complement( X ) ) ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2499) {G25,W9,D7,L1,V1,M1} P(2479,424);d(412);d(412) { meet(
% 4.87/5.31 X, converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 4.87/5.31 parent0: (25959) {G15,W9,D7,L1,V1,M1} { meet( X, converse( complement(
% 4.87/5.31 converse( complement( X ) ) ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25962) {G24,W9,D7,L1,V1,M1} { X ==> join( X, complement( converse
% 4.87/5.31 ( complement( converse( X ) ) ) ) ) }.
% 4.87/5.31 parent0[0]: (2479) {G24,W9,D7,L1,V1,M1} P(1007,2290);d(434) { join( X,
% 4.87/5.31 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25963) {G1,W10,D6,L1,V1,M1} { converse( X ) ==> join( converse(
% 4.87/5.31 X ), complement( converse( complement( X ) ) ) ) }.
% 4.87/5.31 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 9]: (25962) {G24,W9,D7,L1,V1,M1} { X ==> join( X, complement(
% 4.87/5.31 converse( complement( converse( X ) ) ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := converse( X )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25964) {G1,W10,D6,L1,V1,M1} { join( converse( X ), complement(
% 4.87/5.31 converse( complement( X ) ) ) ) ==> converse( X ) }.
% 4.87/5.31 parent0[0]: (25963) {G1,W10,D6,L1,V1,M1} { converse( X ) ==> join(
% 4.87/5.31 converse( X ), complement( converse( complement( X ) ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2527) {G25,W10,D6,L1,V1,M1} P(7,2479) { join( converse( X ),
% 4.87/5.31 complement( converse( complement( X ) ) ) ) ==> converse( X ) }.
% 4.87/5.31 parent0: (25964) {G1,W10,D6,L1,V1,M1} { join( converse( X ), complement(
% 4.87/5.31 converse( complement( X ) ) ) ) ==> converse( X ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25966) {G23,W9,D6,L1,V2,M1} { Y ==> join( converse( meet( X,
% 4.87/5.31 converse( Y ) ) ), Y ) }.
% 4.87/5.31 parent0[0]: (577) {G23,W9,D6,L1,V2,M1} P(574,40);d(7) { join( converse(
% 4.87/5.31 meet( X, converse( Y ) ) ), Y ) ==> Y }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25968) {G24,W12,D6,L1,V1,M1} { complement( converse( complement
% 4.87/5.31 ( X ) ) ) ==> join( converse( X ), complement( converse( complement( X )
% 4.87/5.31 ) ) ) }.
% 4.87/5.31 parent0[0]: (2499) {G25,W9,D7,L1,V1,M1} P(2479,424);d(412);d(412) { meet( X
% 4.87/5.31 , converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 4.87/5.31 parent1[0; 7]: (25966) {G23,W9,D6,L1,V2,M1} { Y ==> join( converse( meet(
% 4.87/5.31 X, converse( Y ) ) ), Y ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := complement( converse( complement( X ) ) )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25969) {G25,W7,D5,L1,V1,M1} { complement( converse( complement(
% 4.87/5.31 X ) ) ) ==> converse( X ) }.
% 4.87/5.31 parent0[0]: (2527) {G25,W10,D6,L1,V1,M1} P(7,2479) { join( converse( X ),
% 4.87/5.31 complement( converse( complement( X ) ) ) ) ==> converse( X ) }.
% 4.87/5.31 parent1[0; 5]: (25968) {G24,W12,D6,L1,V1,M1} { complement( converse(
% 4.87/5.31 complement( X ) ) ) ==> join( converse( X ), complement( converse(
% 4.87/5.31 complement( X ) ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2553) {G26,W7,D5,L1,V1,M1} P(2499,577);d(2527) { complement(
% 4.87/5.31 converse( complement( X ) ) ) ==> converse( X ) }.
% 4.87/5.31 parent0: (25969) {G25,W7,D5,L1,V1,M1} { complement( converse( complement(
% 4.87/5.31 X ) ) ) ==> converse( X ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25971) {G26,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 4.87/5.31 converse( complement( X ) ) ) }.
% 4.87/5.31 parent0[0]: (2553) {G26,W7,D5,L1,V1,M1} P(2499,577);d(2527) { complement(
% 4.87/5.31 converse( complement( X ) ) ) ==> converse( X ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25973) {G15,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 4.87/5.31 complement( converse( X ) ) }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 6]: (25971) {G26,W7,D5,L1,V1,M1} { converse( X ) ==> complement
% 4.87/5.31 ( converse( complement( X ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := complement( X )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2622) {G27,W7,D4,L1,V1,M1} P(2553,412) { converse( complement
% 4.87/5.31 ( X ) ) ==> complement( converse( X ) ) }.
% 4.87/5.31 parent0: (25973) {G15,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 4.87/5.31 complement( converse( X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25976) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 4.87/5.31 converse( X ), converse( Y ) ) }.
% 4.87/5.31 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 4.87/5.31 ) ==> converse( join( X, Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25977) {G1,W12,D5,L1,V2,M1} { converse( join( complement( X ), Y
% 4.87/5.31 ) ) ==> join( complement( converse( X ) ), converse( Y ) ) }.
% 4.87/5.31 parent0[0]: (2622) {G27,W7,D4,L1,V1,M1} P(2553,412) { converse( complement
% 4.87/5.31 ( X ) ) ==> complement( converse( X ) ) }.
% 4.87/5.31 parent1[0; 7]: (25976) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 4.87/5.31 join( converse( X ), converse( Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := complement( X )
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25979) {G1,W12,D5,L1,V2,M1} { join( complement( converse( X ) ),
% 4.87/5.31 converse( Y ) ) ==> converse( join( complement( X ), Y ) ) }.
% 4.87/5.31 parent0[0]: (25977) {G1,W12,D5,L1,V2,M1} { converse( join( complement( X )
% 4.87/5.31 , Y ) ) ==> join( complement( converse( X ) ), converse( Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (2649) {G28,W12,D5,L1,V2,M1} P(2622,8) { join( complement(
% 4.87/5.31 converse( X ) ), converse( Y ) ) ==> converse( join( complement( X ), Y )
% 4.87/5.31 ) }.
% 4.87/5.31 parent0: (25979) {G1,W12,D5,L1,V2,M1} { join( complement( converse( X ) )
% 4.87/5.31 , converse( Y ) ) ==> converse( join( complement( X ), Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25982) {G28,W12,D5,L1,V2,M1} { converse( join( complement( X ), Y
% 4.87/5.31 ) ) ==> join( complement( converse( X ) ), converse( Y ) ) }.
% 4.87/5.31 parent0[0]: (2649) {G28,W12,D5,L1,V2,M1} P(2622,8) { join( complement(
% 4.87/5.31 converse( X ) ), converse( Y ) ) ==> converse( join( complement( X ), Y )
% 4.87/5.31 ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25987) {G28,W14,D5,L1,V2,M1} { converse( join( complement( X ),
% 4.87/5.31 complement( Y ) ) ) ==> join( complement( converse( X ) ), complement(
% 4.87/5.31 converse( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (2622) {G27,W7,D4,L1,V1,M1} P(2553,412) { converse( complement
% 4.87/5.31 ( X ) ) ==> complement( converse( X ) ) }.
% 4.87/5.31 parent1[0; 11]: (25982) {G28,W12,D5,L1,V2,M1} { converse( join( complement
% 4.87/5.31 ( X ), Y ) ) ==> join( complement( converse( X ) ), converse( Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := complement( Y )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25989) {G16,W13,D5,L1,V2,M1} { converse( join( complement( X ),
% 4.87/5.31 complement( Y ) ) ) ==> complement( meet( converse( X ), converse( Y ) )
% 4.87/5.31 ) }.
% 4.87/5.31 parent0[0]: (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ),
% 4.87/5.31 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.31 parent1[0; 7]: (25987) {G28,W14,D5,L1,V2,M1} { converse( join( complement
% 4.87/5.31 ( X ), complement( Y ) ) ) ==> join( complement( converse( X ) ),
% 4.87/5.31 complement( converse( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := converse( X )
% 4.87/5.31 Y := converse( Y )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25991) {G16,W12,D5,L1,V2,M1} { converse( complement( meet( X, Y
% 4.87/5.31 ) ) ) ==> complement( meet( converse( X ), converse( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (425) {G15,W10,D4,L1,V2,M1} P(3,412) { join( complement( X ),
% 4.87/5.31 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 4.87/5.31 parent1[0; 2]: (25989) {G16,W13,D5,L1,V2,M1} { converse( join( complement
% 4.87/5.31 ( X ), complement( Y ) ) ) ==> complement( meet( converse( X ), converse
% 4.87/5.31 ( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25992) {G17,W12,D5,L1,V2,M1} { complement( converse( meet( X, Y
% 4.87/5.31 ) ) ) ==> complement( meet( converse( X ), converse( Y ) ) ) }.
% 4.87/5.31 parent0[0]: (2622) {G27,W7,D4,L1,V1,M1} P(2553,412) { converse( complement
% 4.87/5.31 ( X ) ) ==> complement( converse( X ) ) }.
% 4.87/5.31 parent1[0; 1]: (25991) {G16,W12,D5,L1,V2,M1} { converse( complement( meet
% 4.87/5.31 ( X, Y ) ) ) ==> complement( meet( converse( X ), converse( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := meet( X, Y )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25993) {G17,W12,D5,L1,V2,M1} { complement( meet( converse( X ),
% 4.87/5.31 converse( Y ) ) ) ==> complement( converse( meet( X, Y ) ) ) }.
% 4.87/5.31 parent0[0]: (25992) {G17,W12,D5,L1,V2,M1} { complement( converse( meet( X
% 4.87/5.31 , Y ) ) ) ==> complement( meet( converse( X ), converse( Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (24914) {G29,W12,D5,L1,V2,M1} P(2622,2649);d(425);d(425);d(
% 4.87/5.31 2622) { complement( meet( converse( Y ), converse( X ) ) ) ==> complement
% 4.87/5.31 ( converse( meet( Y, X ) ) ) }.
% 4.87/5.31 parent0: (25993) {G17,W12,D5,L1,V2,M1} { complement( meet( converse( X ),
% 4.87/5.31 converse( Y ) ) ) ==> complement( converse( meet( X, Y ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (25995) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 4.87/5.31 }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25997) {G15,W12,D6,L1,V2,M1} { meet( converse( X ), converse( Y
% 4.87/5.31 ) ) ==> complement( complement( converse( meet( X, Y ) ) ) ) }.
% 4.87/5.31 parent0[0]: (24914) {G29,W12,D5,L1,V2,M1} P(2622,2649);d(425);d(425);d(2622
% 4.87/5.31 ) { complement( meet( converse( Y ), converse( X ) ) ) ==> complement(
% 4.87/5.31 converse( meet( Y, X ) ) ) }.
% 4.87/5.31 parent1[0; 7]: (25995) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement
% 4.87/5.31 ( X ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := Y
% 4.87/5.31 Y := X
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := meet( converse( X ), converse( Y ) )
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (25998) {G15,W10,D4,L1,V2,M1} { meet( converse( X ), converse( Y
% 4.87/5.31 ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.31 parent0[0]: (412) {G14,W5,D4,L1,V1,M1} P(56,400);d(365);d(411) { complement
% 4.87/5.31 ( complement( X ) ) ==> X }.
% 4.87/5.31 parent1[0; 6]: (25997) {G15,W12,D6,L1,V2,M1} { meet( converse( X ),
% 4.87/5.31 converse( Y ) ) ==> complement( complement( converse( meet( X, Y ) ) ) )
% 4.87/5.31 }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := converse( meet( X, Y ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (25006) {G30,W10,D4,L1,V2,M1} P(24914,412);d(412) { meet(
% 4.87/5.31 converse( X ), converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.31 parent0: (25998) {G15,W10,D4,L1,V2,M1} { meet( converse( X ), converse( Y
% 4.87/5.31 ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := X
% 4.87/5.31 Y := Y
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 0 ==> 0
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqswap: (26001) {G1,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ), converse
% 4.87/5.31 ( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet( converse(
% 4.87/5.31 skol1 ), converse( skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) )
% 4.87/5.31 , meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse( meet(
% 4.87/5.31 skol1, skol2 ) ) }.
% 4.87/5.31 parent0[0]: (110) {G1,W31,D5,L2,V0,M2} P(0,13) { ! join( converse( meet(
% 4.87/5.31 skol1, skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet
% 4.87/5.31 ( converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 4.87/5.31 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.31 meet( skol1, skol2 ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (26007) {G2,W30,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 4.87/5.31 skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1,
% 4.87/5.31 skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) ) ==> join(
% 4.87/5.31 converse( meet( skol1, skol2 ) ), meet( converse( skol1 ), converse(
% 4.87/5.31 skol2 ) ) ) }.
% 4.87/5.31 parent0[0]: (25006) {G30,W10,D4,L1,V2,M1} P(24914,412);d(412) { meet(
% 4.87/5.31 converse( X ), converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.31 parent1[1; 7]: (26001) {G1,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 4.87/5.31 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet(
% 4.87/5.31 converse( skol1 ), converse( skol2 ) ) ), ! join( converse( meet( skol1,
% 4.87/5.31 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 4.87/5.31 meet( skol1, skol2 ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := skol1
% 4.87/5.31 Y := skol2
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (26009) {G3,W29,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 4.87/5.31 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse
% 4.87/5.31 ( meet( skol1, skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) ),
% 4.87/5.31 converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2 ) )
% 4.87/5.31 }.
% 4.87/5.31 parent0[0]: (25006) {G30,W10,D4,L1,V2,M1} P(24914,412);d(412) { meet(
% 4.87/5.31 converse( X ), converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.31 parent1[1; 12]: (26007) {G2,W30,D5,L2,V0,M2} { ! join( converse( meet(
% 4.87/5.31 skol1, skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet(
% 4.87/5.31 skol1, skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) ) ==> join
% 4.87/5.31 ( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ), converse(
% 4.87/5.31 skol2 ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := skol1
% 4.87/5.31 Y := skol2
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (26010) {G4,W28,D5,L2,V0,M2} { ! converse( meet( skol1, skol2 ) )
% 4.87/5.31 ==> join( converse( meet( skol1, skol2 ) ), converse( meet( skol1, skol2
% 4.87/5.31 ) ) ), ! join( converse( meet( skol1, skol2 ) ), converse( meet( skol1,
% 4.87/5.31 skol2 ) ) ) ==> converse( meet( skol1, skol2 ) ) }.
% 4.87/5.31 parent0[0]: (25006) {G30,W10,D4,L1,V2,M1} P(24914,412);d(412) { meet(
% 4.87/5.31 converse( X ), converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 4.87/5.31 parent1[0; 2]: (26009) {G3,W29,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 4.87/5.31 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse
% 4.87/5.31 ( meet( skol1, skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) ),
% 4.87/5.31 converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2 ) )
% 4.87/5.31 }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := skol1
% 4.87/5.31 Y := skol2
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (26020) {G5,W23,D5,L2,V0,M2} { ! converse( meet( skol1, skol2 ) )
% 4.87/5.31 ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1, skol2 ) )
% 4.87/5.31 ==> join( converse( meet( skol1, skol2 ) ), converse( meet( skol1, skol2
% 4.87/5.31 ) ) ) }.
% 4.87/5.31 parent0[0]: (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.31 parent1[1; 2]: (26010) {G4,W28,D5,L2,V0,M2} { ! converse( meet( skol1,
% 4.87/5.31 skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse( meet(
% 4.87/5.31 skol1, skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) ), converse(
% 4.87/5.31 meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2 ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := converse( meet( skol1, skol2 ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 paramod: (26021) {G6,W18,D4,L2,V0,M2} { ! converse( meet( skol1, skol2 ) )
% 4.87/5.31 ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1, skol2 ) )
% 4.87/5.31 ==> converse( meet( skol1, skol2 ) ) }.
% 4.87/5.31 parent0[0]: (421) {G15,W5,D3,L1,V1,M1} P(412,294) { join( X, X ) ==> X }.
% 4.87/5.31 parent1[1; 6]: (26020) {G5,W23,D5,L2,V0,M2} { ! converse( meet( skol1,
% 4.87/5.31 skol2 ) ) ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1,
% 4.87/5.31 skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse( meet(
% 4.87/5.31 skol1, skol2 ) ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 X := converse( meet( skol1, skol2 ) )
% 4.87/5.31 end
% 4.87/5.31 substitution1:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 factor: (26022) {G6,W9,D4,L1,V0,M1} { ! converse( meet( skol1, skol2 ) )
% 4.87/5.31 ==> converse( meet( skol1, skol2 ) ) }.
% 4.87/5.31 parent0[0, 1]: (26021) {G6,W18,D4,L2,V0,M2} { ! converse( meet( skol1,
% 4.87/5.31 skol2 ) ) ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1,
% 4.87/5.31 skol2 ) ) ==> converse( meet( skol1, skol2 ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 eqrefl: (26025) {G0,W0,D0,L0,V0,M0} { }.
% 4.87/5.31 parent0[0]: (26022) {G6,W9,D4,L1,V0,M1} { ! converse( meet( skol1, skol2 )
% 4.87/5.31 ) ==> converse( meet( skol1, skol2 ) ) }.
% 4.87/5.31 substitution0:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 subsumption: (25124) {G31,W0,D0,L0,V0,M0} P(25006,110);f;d(421);q { }.
% 4.87/5.31 parent0: (26025) {G0,W0,D0,L0,V0,M0} { }.
% 4.87/5.31 substitution0:
% 4.87/5.31 end
% 4.87/5.31 permutation0:
% 4.87/5.31 end
% 4.87/5.31
% 4.87/5.31 Proof check complete!
% 4.87/5.31
% 4.87/5.31 Memory use:
% 4.87/5.31
% 4.87/5.31 space for terms: 343207
% 4.87/5.31 space for clauses: 2676541
% 4.87/5.31
% 4.87/5.31
% 4.87/5.31 clauses generated: 1205396
% 4.87/5.31 clauses kept: 25125
% 4.87/5.31 clauses selected: 1866
% 4.87/5.31 clauses deleted: 3790
% 4.87/5.31 clauses inuse deleted: 225
% 4.87/5.31
% 4.87/5.31 subsentry: 29000
% 4.87/5.31 literals s-matched: 25367
% 4.87/5.31 literals matched: 24926
% 4.87/5.31 full subsumption: 0
% 4.87/5.31
% 4.87/5.31 checksum: -1930738481
% 4.87/5.31
% 4.87/5.31
% 4.87/5.31 Bliksem ended
%------------------------------------------------------------------------------