TSTP Solution File: REL050+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL050+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 19:01:33 EDT 2022
% Result : Theorem 1.78s 2.18s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : REL050+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.15 % Command : bliksem %s
% 0.14/0.37 % Computer : n003.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % DateTime : Fri Jul 8 07:58:42 EDT 2022
% 0.14/0.37 % CPUTime :
% 1.78/2.18 *** allocated 10000 integers for termspace/termends
% 1.78/2.18 *** allocated 10000 integers for clauses
% 1.78/2.18 *** allocated 10000 integers for justifications
% 1.78/2.18 Bliksem 1.12
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Automatic Strategy Selection
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Clauses:
% 1.78/2.18
% 1.78/2.18 { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 1.78/2.18 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 1.78/2.18 , Z ) }.
% 1.78/2.18 { composition( X, one ) = X }.
% 1.78/2.18 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 1.78/2.18 Y, Z ) ) }.
% 1.78/2.18 { converse( converse( X ) ) = X }.
% 1.78/2.18 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 1.78/2.18 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 1.78/2.18 ) ) }.
% 1.78/2.18 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) = complement( Y ) }.
% 1.78/2.18 { top = join( X, complement( X ) ) }.
% 1.78/2.18 { zero = meet( X, complement( X ) ) }.
% 1.78/2.18 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 1.78/2.18 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 1.78/2.18 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) }.
% 1.78/2.18 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 1.78/2.18 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 1.78/2.18 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 1.78/2.18 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 1.78/2.18 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 1.78/2.18 { ! complement( composition( skol1, top ) ) = composition( complement(
% 1.78/2.18 composition( skol1, top ) ), top ) }.
% 1.78/2.18
% 1.78/2.18 percentage equality = 1.000000, percentage horn = 1.000000
% 1.78/2.18 This is a pure equality problem
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Options Used:
% 1.78/2.18
% 1.78/2.18 useres = 1
% 1.78/2.18 useparamod = 1
% 1.78/2.18 useeqrefl = 1
% 1.78/2.18 useeqfact = 1
% 1.78/2.18 usefactor = 1
% 1.78/2.18 usesimpsplitting = 0
% 1.78/2.18 usesimpdemod = 5
% 1.78/2.18 usesimpres = 3
% 1.78/2.18
% 1.78/2.18 resimpinuse = 1000
% 1.78/2.18 resimpclauses = 20000
% 1.78/2.18 substype = eqrewr
% 1.78/2.18 backwardsubs = 1
% 1.78/2.18 selectoldest = 5
% 1.78/2.18
% 1.78/2.18 litorderings [0] = split
% 1.78/2.18 litorderings [1] = extend the termordering, first sorting on arguments
% 1.78/2.18
% 1.78/2.18 termordering = kbo
% 1.78/2.18
% 1.78/2.18 litapriori = 0
% 1.78/2.18 termapriori = 1
% 1.78/2.18 litaposteriori = 0
% 1.78/2.18 termaposteriori = 0
% 1.78/2.18 demodaposteriori = 0
% 1.78/2.18 ordereqreflfact = 0
% 1.78/2.18
% 1.78/2.18 litselect = negord
% 1.78/2.18
% 1.78/2.18 maxweight = 15
% 1.78/2.18 maxdepth = 30000
% 1.78/2.18 maxlength = 115
% 1.78/2.18 maxnrvars = 195
% 1.78/2.18 excuselevel = 1
% 1.78/2.18 increasemaxweight = 1
% 1.78/2.18
% 1.78/2.18 maxselected = 10000000
% 1.78/2.18 maxnrclauses = 10000000
% 1.78/2.18
% 1.78/2.18 showgenerated = 0
% 1.78/2.18 showkept = 0
% 1.78/2.18 showselected = 0
% 1.78/2.18 showdeleted = 0
% 1.78/2.18 showresimp = 1
% 1.78/2.18 showstatus = 2000
% 1.78/2.18
% 1.78/2.18 prologoutput = 0
% 1.78/2.18 nrgoals = 5000000
% 1.78/2.18 totalproof = 1
% 1.78/2.18
% 1.78/2.18 Symbols occurring in the translation:
% 1.78/2.18
% 1.78/2.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.78/2.18 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.78/2.18 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 1.78/2.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.78/2.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.78/2.18 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.78/2.18 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 1.78/2.18 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.78/2.18 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.78/2.18 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.78/2.18 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.78/2.18 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.78/2.18 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.78/2.18 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Starting Search:
% 1.78/2.18
% 1.78/2.18 *** allocated 15000 integers for clauses
% 1.78/2.18 *** allocated 22500 integers for clauses
% 1.78/2.18 *** allocated 33750 integers for clauses
% 1.78/2.18 *** allocated 50625 integers for clauses
% 1.78/2.18 *** allocated 75937 integers for clauses
% 1.78/2.18 *** allocated 113905 integers for clauses
% 1.78/2.18 *** allocated 15000 integers for termspace/termends
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 *** allocated 170857 integers for clauses
% 1.78/2.18 *** allocated 22500 integers for termspace/termends
% 1.78/2.18 *** allocated 256285 integers for clauses
% 1.78/2.18 *** allocated 33750 integers for termspace/termends
% 1.78/2.18
% 1.78/2.18 Intermediate Status:
% 1.78/2.18 Generated: 24459
% 1.78/2.18 Kept: 2000
% 1.78/2.18 Inuse: 299
% 1.78/2.18 Deleted: 166
% 1.78/2.18 Deletedinuse: 62
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 *** allocated 384427 integers for clauses
% 1.78/2.18 *** allocated 50625 integers for termspace/termends
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 *** allocated 576640 integers for clauses
% 1.78/2.18 *** allocated 75937 integers for termspace/termends
% 1.78/2.18
% 1.78/2.18 Intermediate Status:
% 1.78/2.18 Generated: 67471
% 1.78/2.18 Kept: 4009
% 1.78/2.18 Inuse: 460
% 1.78/2.18 Deleted: 260
% 1.78/2.18 Deletedinuse: 91
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 *** allocated 864960 integers for clauses
% 1.78/2.18 *** allocated 113905 integers for termspace/termends
% 1.78/2.18
% 1.78/2.18 Intermediate Status:
% 1.78/2.18 Generated: 126799
% 1.78/2.18 Kept: 6040
% 1.78/2.18 Inuse: 624
% 1.78/2.18 Deleted: 337
% 1.78/2.18 Deletedinuse: 91
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 *** allocated 1297440 integers for clauses
% 1.78/2.18
% 1.78/2.18 Intermediate Status:
% 1.78/2.18 Generated: 184549
% 1.78/2.18 Kept: 8041
% 1.78/2.18 Inuse: 750
% 1.78/2.18 Deleted: 373
% 1.78/2.18 Deletedinuse: 101
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18 *** allocated 170857 integers for termspace/termends
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Intermediate Status:
% 1.78/2.18 Generated: 242033
% 1.78/2.18 Kept: 10075
% 1.78/2.18 Inuse: 855
% 1.78/2.18 Deleted: 431
% 1.78/2.18 Deletedinuse: 118
% 1.78/2.18
% 1.78/2.18 Resimplifying inuse:
% 1.78/2.18 Done
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Bliksems!, er is een bewijs:
% 1.78/2.18 % SZS status Theorem
% 1.78/2.18 % SZS output start Refutation
% 1.78/2.18
% 1.78/2.18 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 1.78/2.18 , Z ) }.
% 1.78/2.18 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 1.78/2.18 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 1.78/2.18 ( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 1.78/2.18 composition( composition( X, Y ), Z ) }.
% 1.78/2.18 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 1.78/2.18 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 1.78/2.18 ) ==> composition( join( X, Y ), Z ) }.
% 1.78/2.18 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.18 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 1.78/2.18 converse( join( X, Y ) ) }.
% 1.78/2.18 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 1.78/2.18 ==> converse( composition( X, Y ) ) }.
% 1.78/2.18 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 1.78/2.18 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 1.78/2.18 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 1.78/2.18 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 1.78/2.18 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 1.78/2.18 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 1.78/2.18 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 1.78/2.18 ) ) ) }.
% 1.78/2.18 (14) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ), Z ), meet(
% 1.78/2.18 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) ==>
% 1.78/2.18 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 1.78/2.18 }.
% 1.78/2.18 (16) {G0,W11,D5,L1,V0,M1} I { ! composition( complement( composition( skol1
% 1.78/2.18 , top ) ), top ) ==> complement( composition( skol1, top ) ) }.
% 1.78/2.18 (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 1.78/2.18 (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 1.78/2.18 join( Z, X ), Y ) }.
% 1.78/2.18 (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 1.78/2.18 ==> join( Y, top ) }.
% 1.78/2.18 (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement( join( X, Y ) )
% 1.78/2.18 , X ), Y ) ==> top }.
% 1.78/2.18 (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ), complement( Y ) )
% 1.78/2.18 ==> join( X, top ) }.
% 1.78/2.18 (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement( complement( X )
% 1.78/2.18 ) ) ==> join( X, top ) }.
% 1.78/2.18 (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement( X ) ), top
% 1.78/2.18 ) ==> join( X, top ) }.
% 1.78/2.18 (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 1.78/2.18 ( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 (36) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y, converse( X )
% 1.78/2.18 ) ) ==> composition( X, converse( Y ) ) }.
% 1.78/2.18 (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 1.78/2.18 ) ) ==> composition( converse( Y ), X ) }.
% 1.78/2.18 (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 1.78/2.18 join( X, converse( Y ) ) }.
% 1.78/2.18 (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 1.78/2.18 (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 1.78/2.18 (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero, complement( X )
% 1.78/2.18 ) ) ==> meet( top, X ) }.
% 1.78/2.18 (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement( X ), zero
% 1.78/2.18 ) ) ==> meet( X, top ) }.
% 1.78/2.18 (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top }.
% 1.78/2.18 (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top ) ==> join( X
% 1.78/2.18 , top ) }.
% 1.78/2.18 (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition( converse( X ),
% 1.78/2.18 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 1.78/2.18 (85) {G1,W15,D7,L1,V2,M1} P(9,10);d(7) { join( composition( X, complement(
% 1.78/2.18 converse( composition( Y, X ) ) ) ), complement( converse( Y ) ) ) ==>
% 1.78/2.18 complement( converse( Y ) ) }.
% 1.78/2.18 (88) {G1,W13,D6,L1,V2,M1} P(10,0) { join( complement( Y ), composition(
% 1.78/2.18 converse( X ), complement( composition( X, Y ) ) ) ) ==> complement( Y )
% 1.78/2.18 }.
% 1.78/2.18 (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet( composition( X, Y )
% 1.78/2.18 , Z ), top ) ==> top }.
% 1.78/2.18 (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top ) ==> top }.
% 1.78/2.18 (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement( meet( X, Y )
% 1.78/2.18 ) ) ==> join( top, top ) }.
% 1.78/2.18 (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join( complement( X ),
% 1.78/2.18 top ) ==> join( top, top ) }.
% 1.78/2.18 (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top ) ==> top }.
% 1.78/2.18 (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==> top }.
% 1.78/2.18 (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 1.78/2.18 (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top ) ) ==>
% 1.78/2.18 converse( top ) }.
% 1.78/2.18 (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top }.
% 1.78/2.18 (208) {G10,W9,D4,L1,V1,M1} P(206,9) { composition( top, converse( X ) ) ==>
% 1.78/2.18 converse( composition( X, top ) ) }.
% 1.78/2.18 (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse( one ), X )
% 1.78/2.18 ==> X }.
% 1.78/2.18 (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one }.
% 1.78/2.18 (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X ) ==> X }.
% 1.78/2.18 (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement( X ),
% 1.78/2.18 complement( X ) ) ==> complement( X ) }.
% 1.78/2.18 (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X ) ) = meet(
% 1.78/2.18 X, X ) }.
% 1.78/2.18 (313) {G7,W7,D5,L1,V1,M1} P(288,30);d(17);d(58) { join( complement(
% 1.78/2.18 complement( X ) ), zero ) ==> X }.
% 1.78/2.18 (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet( X, top ),
% 1.78/2.18 zero ) ==> X }.
% 1.78/2.18 (330) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X, complement( meet( X, Y
% 1.78/2.18 ) ) ) ==> top }.
% 1.78/2.18 (332) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X ), zero ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 (337) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X, X ) ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 (342) {G11,W7,D4,L1,V1,M1} P(56,318) { join( meet( top, X ), zero ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X, complement( zero ) )
% 1.78/2.18 ==> top }.
% 1.78/2.18 (347) {G12,W4,D3,L1,V0,M1} P(344,280) { complement( zero ) ==> top }.
% 1.78/2.18 (348) {G12,W5,D3,L1,V1,M1} P(344,3);d(58) { meet( X, zero ) ==> zero }.
% 1.78/2.18 (357) {G12,W7,D4,L1,V1,M1} P(342,0) { join( zero, meet( top, X ) ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero, complement( X ) )
% 1.78/2.18 ==> complement( X ) }.
% 1.78/2.18 (375) {G14,W5,D3,L1,V1,M1} P(288,365);d(337) { meet( X, X ) ==> X }.
% 1.78/2.18 (376) {G14,W11,D4,L1,V2,M1} P(365,19) { join( join( zero, Y ), complement(
% 1.78/2.18 X ) ) ==> join( complement( X ), Y ) }.
% 1.78/2.18 (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==> complement(
% 1.78/2.18 complement( X ) ) }.
% 1.78/2.18 (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement( complement
% 1.78/2.18 ( X ) ) ==> X }.
% 1.78/2.18 (385) {G15,W5,D3,L1,V1,M1} P(375,337) { join( zero, X ) ==> X }.
% 1.78/2.18 (386) {G15,W5,D3,L1,V1,M1} P(375,332) { join( X, zero ) ==> X }.
% 1.78/2.18 (390) {G16,W6,D4,L1,V1,M1} P(386,42);d(7) { join( X, converse( zero ) ) ==>
% 1.78/2.18 X }.
% 1.78/2.18 (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 1.78/2.18 (395) {G16,W10,D5,L1,V2,M1} P(381,3) { complement( join( complement( Y ), X
% 1.78/2.18 ) ) ==> meet( Y, complement( X ) ) }.
% 1.78/2.18 (397) {G17,W9,D4,L1,V2,M1} P(392,19);d(1);d(392) { join( join( X, Y ), Y )
% 1.78/2.18 ==> join( X, Y ) }.
% 1.78/2.18 (398) {G17,W9,D4,L1,V2,M1} P(392,19) { join( join( X, Y ), X ) ==> join( X
% 1.78/2.18 , Y ) }.
% 1.78/2.18 (400) {G17,W4,D3,L1,V0,M1} P(390,385) { converse( zero ) ==> zero }.
% 1.78/2.18 (407) {G16,W5,D3,L1,V1,M1} S(380);d(381) { meet( top, X ) ==> X }.
% 1.78/2.18 (430) {G15,W8,D5,L1,V2,M1} P(330,21);d(58);d(376) { join( complement( meet
% 1.78/2.18 ( X, Y ) ), X ) ==> top }.
% 1.78/2.18 (444) {G16,W8,D5,L1,V2,M1} P(56,430) { join( complement( meet( Y, X ) ), X
% 1.78/2.18 ) ==> top }.
% 1.78/2.18 (447) {G17,W9,D4,L1,V2,M1} P(444,30);d(58);d(386) { meet( meet( X, Y ), Y )
% 1.78/2.18 ==> meet( X, Y ) }.
% 1.78/2.18 (480) {G18,W9,D4,L1,V2,M1} P(447,56) { meet( Y, meet( X, Y ) ) ==> meet( X
% 1.78/2.18 , Y ) }.
% 1.78/2.18 (486) {G18,W8,D5,L1,V2,M1} P(30,397);d(395) { join( X, meet( X, complement
% 1.78/2.18 ( Y ) ) ) ==> X }.
% 1.78/2.18 (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X ) ) ==> Y }.
% 1.78/2.18 (510) {G20,W7,D4,L1,V2,M1} P(480,495) { join( X, meet( Y, X ) ) ==> X }.
% 1.78/2.18 (525) {G20,W7,D4,L1,V2,M1} P(495,0) { join( meet( X, Y ), X ) ==> X }.
% 1.78/2.18 (947) {G16,W9,D5,L1,V1,M1} S(82);d(386) { composition( converse( X ),
% 1.78/2.18 complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.18 (981) {G17,W8,D5,L1,V0,M1} P(206,947) { composition( top, complement(
% 1.78/2.18 composition( top, top ) ) ) ==> zero }.
% 1.78/2.18 (986) {G18,W8,D5,L1,V1,M1} P(981,6);d(386);d(171);d(981) { composition( X,
% 1.78/2.18 complement( composition( top, top ) ) ) ==> zero }.
% 1.78/2.18 (991) {G19,W6,D4,L1,V0,M1} P(986,275) { complement( composition( top, top )
% 1.78/2.18 ) ==> zero }.
% 1.78/2.18 (1002) {G20,W5,D3,L1,V0,M1} P(991,381);d(347) { composition( top, top ) ==>
% 1.78/2.18 top }.
% 1.78/2.18 (1014) {G21,W7,D4,L1,V1,M1} P(1002,14);d(407);d(510);d(407);d(4);d(208);d(
% 1.78/2.18 1002);d(206) { meet( composition( top, X ), X ) ==> X }.
% 1.78/2.18 (1015) {G21,W9,D4,L1,V1,M1} P(1002,4) { composition( composition( X, top )
% 1.78/2.18 , top ) ==> composition( X, top ) }.
% 1.78/2.18 (1023) {G22,W9,D4,L1,V1,M1} P(1014,525) { join( X, composition( top, X ) )
% 1.78/2.18 ==> composition( top, X ) }.
% 1.78/2.18 (1107) {G23,W9,D4,L1,V1,M1} P(1023,42);d(36);d(206) { join( X, composition
% 1.78/2.18 ( X, top ) ) ==> composition( X, top ) }.
% 1.78/2.18 (1133) {G24,W9,D4,L1,V1,M1} P(1107,398) { join( composition( X, top ), X )
% 1.78/2.18 ==> composition( X, top ) }.
% 1.78/2.18 (1223) {G22,W11,D5,L1,V1,M1} P(1015,88);d(58);d(385) { composition(
% 1.78/2.18 converse( composition( X, top ) ), complement( composition( X, top ) ) )
% 1.78/2.18 ==> zero }.
% 1.78/2.18 (10693) {G25,W11,D5,L1,V1,M1} P(1223,85);d(400);d(347);d(7);d(1133) {
% 1.78/2.18 composition( complement( composition( X, top ) ), top ) ==> complement(
% 1.78/2.18 composition( X, top ) ) }.
% 1.78/2.18 (10695) {G26,W0,D0,L0,V0,M0} R(10693,16) { }.
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 % SZS output end Refutation
% 1.78/2.18 found a proof!
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Unprocessed initial clauses:
% 1.78/2.18
% 1.78/2.18 (10697) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 (10698) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y
% 1.78/2.18 ), Z ) }.
% 1.78/2.18 (10699) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 (10700) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 1.78/2.18 ( X ), complement( Y ) ) ) }.
% 1.78/2.18 (10701) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 1.78/2.18 composition( composition( X, Y ), Z ) }.
% 1.78/2.18 (10702) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 1.78/2.18 (10703) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 1.78/2.18 composition( X, Z ), composition( Y, Z ) ) }.
% 1.78/2.18 (10704) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 1.78/2.18 (10705) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse(
% 1.78/2.18 X ), converse( Y ) ) }.
% 1.78/2.18 (10706) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 1.78/2.18 composition( converse( Y ), converse( X ) ) }.
% 1.78/2.18 (10707) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 1.78/2.18 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 1.78/2.18 }.
% 1.78/2.18 (10708) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 1.78/2.18 (10709) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 1.78/2.18 (10710) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 1.78/2.18 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 1.78/2.18 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 1.78/2.18 (10711) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet
% 1.78/2.18 ( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 1.78/2.18 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 1.78/2.18 }.
% 1.78/2.18 (10712) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet
% 1.78/2.18 ( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 1.78/2.18 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 1.78/2.18 }.
% 1.78/2.18 (10713) {G0,W11,D5,L1,V0,M1} { ! complement( composition( skol1, top ) ) =
% 1.78/2.18 composition( complement( composition( skol1, top ) ), top ) }.
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Total Proof:
% 1.78/2.18
% 1.78/2.18 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent0: (10697) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 1.78/2.18 ( join( X, Y ), Z ) }.
% 1.78/2.18 parent0: (10698) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 1.78/2.18 join( X, Y ), Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10716) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 1.78/2.18 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 1.78/2.18 X }.
% 1.78/2.18 parent0[0]: (10699) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 1.78/2.18 Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 1.78/2.18 Y ) ) ) ==> X }.
% 1.78/2.18 parent0: (10716) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 1.78/2.18 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 1.78/2.18 X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10719) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 1.78/2.18 complement( Y ) ) ) = meet( X, Y ) }.
% 1.78/2.18 parent0[0]: (10700) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 1.78/2.18 ( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 parent0: (10719) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) = meet( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 1.78/2.18 ) ) ==> composition( composition( X, Y ), Z ) }.
% 1.78/2.18 parent0: (10701) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z
% 1.78/2.18 ) ) = composition( composition( X, Y ), Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 1.78/2.18 parent0: (10702) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10734) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 1.78/2.18 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 1.78/2.18 parent0[0]: (10703) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z )
% 1.78/2.18 = join( composition( X, Z ), composition( Y, Z ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 1.78/2.18 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 1.78/2.18 parent0: (10734) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 1.78/2.18 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 parent0: (10704) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10749) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 1.78/2.18 ) = converse( join( X, Y ) ) }.
% 1.78/2.18 parent0[0]: (10705) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 1.78/2.18 ( converse( X ), converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 1.78/2.18 ) ) ==> converse( join( X, Y ) ) }.
% 1.78/2.18 parent0: (10749) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 1.78/2.18 ) = converse( join( X, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10758) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) = converse( composition( X, Y ) ) }.
% 1.78/2.18 parent0[0]: (10706) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 1.78/2.18 = composition( converse( Y ), converse( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 1.78/2.18 parent0: (10758) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) = converse( composition( X, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 1.78/2.18 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 1.78/2.18 Y ) }.
% 1.78/2.18 parent0: (10707) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 1.78/2.18 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10779) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 1.78/2.18 parent0[0]: (10708) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 1.78/2.18 top }.
% 1.78/2.18 parent0: (10779) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10791) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (10709) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X )
% 1.78/2.18 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent0: (10791) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 1.78/2.18 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 1.78/2.18 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 1.78/2.18 ) ) ) }.
% 1.78/2.18 parent0: (10710) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 1.78/2.18 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 1.78/2.18 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (14) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y )
% 1.78/2.18 , Z ), meet( composition( X, meet( Y, composition( converse( X ), Z ) ) )
% 1.78/2.18 , Z ) ) ==> meet( composition( X, meet( Y, composition( converse( X ), Z
% 1.78/2.18 ) ) ), Z ) }.
% 1.78/2.18 parent0: (10711) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 1.78/2.18 ), meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z
% 1.78/2.18 ) ) = meet( composition( X, meet( Y, composition( converse( X ), Z ) ) )
% 1.78/2.18 , Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10834) {G0,W11,D5,L1,V0,M1} { ! composition( complement(
% 1.78/2.18 composition( skol1, top ) ), top ) = complement( composition( skol1, top
% 1.78/2.18 ) ) }.
% 1.78/2.18 parent0[0]: (10713) {G0,W11,D5,L1,V0,M1} { ! complement( composition(
% 1.78/2.18 skol1, top ) ) = composition( complement( composition( skol1, top ) ),
% 1.78/2.18 top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (16) {G0,W11,D5,L1,V0,M1} I { ! composition( complement(
% 1.78/2.18 composition( skol1, top ) ), top ) ==> complement( composition( skol1,
% 1.78/2.18 top ) ) }.
% 1.78/2.18 parent0: (10834) {G0,W11,D5,L1,V0,M1} { ! composition( complement(
% 1.78/2.18 composition( skol1, top ) ), top ) = complement( composition( skol1, top
% 1.78/2.18 ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10835) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10836) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 2]: (10835) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 1.78/2.18 X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := complement( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10839) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (10836) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 1.78/2.18 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent0: (10839) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10840) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 1.78/2.18 , join( Y, Z ) ) }.
% 1.78/2.18 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 1.78/2.18 join( X, Y ), Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10845) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 1.78/2.18 X, join( Z, Y ) ) }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 8]: (10840) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 1.78/2.18 join( X, join( Y, Z ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := Z
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10858) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 1.78/2.18 join( X, Z ), Y ) }.
% 1.78/2.18 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 1.78/2.18 join( X, Y ), Z ) }.
% 1.78/2.18 parent1[0; 6]: (10845) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 1.78/2.18 join( X, join( Z, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Z
% 1.78/2.18 Z := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 1.78/2.18 ) = join( join( Z, X ), Y ) }.
% 1.78/2.18 parent0: (10858) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 1.78/2.18 join( X, Z ), Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Z
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10860) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 1.78/2.18 , join( Y, Z ) ) }.
% 1.78/2.18 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 1.78/2.18 join( X, Y ), Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10863) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y
% 1.78/2.18 ) ) ==> join( X, top ) }.
% 1.78/2.18 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 9]: (10860) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 1.78/2.18 join( X, join( Y, Z ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := complement( Y )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 1.78/2.18 complement( X ) ) ==> join( Y, top ) }.
% 1.78/2.18 parent0: (10863) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y
% 1.78/2.18 ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10867) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 1.78/2.18 ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10869) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 1.78/2.18 join( X, Y ) ), X ), Y ) }.
% 1.78/2.18 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 1.78/2.18 join( X, Y ), Z ) }.
% 1.78/2.18 parent1[0; 2]: (10867) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 1.78/2.18 , X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( join( X, Y ) )
% 1.78/2.18 Y := X
% 1.78/2.18 Z := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := join( X, Y )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10870) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 1.78/2.18 ) ), X ), Y ) ==> top }.
% 1.78/2.18 parent0[0]: (10869) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement
% 1.78/2.18 ( join( X, Y ) ), X ), Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 1.78/2.18 join( X, Y ) ), X ), Y ) ==> top }.
% 1.78/2.18 parent0: (10870) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 1.78/2.18 ) ), X ), Y ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10871) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 1.78/2.18 ), complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 1.78/2.18 complement( X ) ) ==> join( Y, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10874) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y,
% 1.78/2.18 X ), complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 5]: (10871) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 1.78/2.18 join( X, Y ), complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10887) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 1.78/2.18 ) ==> join( X, top ) }.
% 1.78/2.18 parent0[0]: (10874) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join(
% 1.78/2.18 Y, X ), complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 1.78/2.18 complement( Y ) ) ==> join( X, top ) }.
% 1.78/2.18 parent0: (10887) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y
% 1.78/2.18 ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10889) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 1.78/2.18 ), complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 1.78/2.18 complement( X ) ) ==> join( Y, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10890) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 1.78/2.18 complement( complement( X ) ) ) }.
% 1.78/2.18 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 5]: (10889) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 1.78/2.18 join( X, Y ), complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := complement( X )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10891) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 1.78/2.18 ) ) ) ==> join( X, top ) }.
% 1.78/2.18 parent0[0]: (10890) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 1.78/2.18 complement( complement( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 1.78/2.18 complement( X ) ) ) ==> join( X, top ) }.
% 1.78/2.18 parent0: (10891) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement(
% 1.78/2.18 X ) ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10892) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 1.78/2.18 complement( complement( X ) ) ) }.
% 1.78/2.18 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 1.78/2.18 complement( X ) ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10894) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 1.78/2.18 ( complement( X ) ), top ) }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 4]: (10892) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 1.78/2.18 , complement( complement( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := top
% 1.78/2.18 Y := complement( complement( X ) )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10900) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 1.78/2.18 , top ) ==> join( X, top ) }.
% 1.78/2.18 parent0[0]: (10894) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 1.78/2.18 complement( complement( X ) ), top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement(
% 1.78/2.18 complement( X ) ), top ) ==> join( X, top ) }.
% 1.78/2.18 parent0: (10900) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 1.78/2.18 , top ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10903) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 1.78/2.18 join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 1.78/2.18 Y ) ) ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 parent0: (10903) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 1.78/2.18 join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10906) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 1.78/2.18 composition( converse( X ), converse( Y ) ) }.
% 1.78/2.18 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10907) {G1,W10,D5,L1,V2,M1} { converse( composition( X, converse
% 1.78/2.18 ( Y ) ) ) ==> composition( Y, converse( X ) ) }.
% 1.78/2.18 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.18 parent1[0; 7]: (10906) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X
% 1.78/2.18 ) ) ==> composition( converse( X ), converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := converse( Y )
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (36) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y,
% 1.78/2.18 converse( X ) ) ) ==> composition( X, converse( Y ) ) }.
% 1.78/2.18 parent0: (10907) {G1,W10,D5,L1,V2,M1} { converse( composition( X, converse
% 1.78/2.18 ( Y ) ) ) ==> composition( Y, converse( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10912) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 1.78/2.18 composition( converse( X ), converse( Y ) ) }.
% 1.78/2.18 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10914) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 1.78/2.18 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 1.78/2.18 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.18 parent1[0; 9]: (10912) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X
% 1.78/2.18 ) ) ==> composition( converse( X ), converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := converse( X )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 1.78/2.18 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 1.78/2.18 parent0: (10914) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 1.78/2.18 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10918) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 1.78/2.18 converse( X ), converse( Y ) ) }.
% 1.78/2.18 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 1.78/2.18 ) ==> converse( join( X, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10919) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 1.78/2.18 ) ==> join( X, converse( Y ) ) }.
% 1.78/2.18 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.18 parent1[0; 7]: (10918) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 1.78/2.18 join( converse( X ), converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := converse( X )
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 1.78/2.18 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 1.78/2.18 parent0: (10919) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 1.78/2.18 ) ==> join( X, converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10923) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10925) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join
% 1.78/2.18 ( complement( Y ), complement( X ) ) ) }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 5]: (10923) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.18 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( X )
% 1.78/2.18 Y := complement( Y )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10927) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 parent1[0; 4]: (10925) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.18 ( join( complement( Y ), complement( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 1.78/2.18 , Y ) }.
% 1.78/2.18 parent0: (10927) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10929) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10932) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 1.78/2.18 complement( top ) }.
% 1.78/2.18 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 6]: (10929) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.18 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := complement( X )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10933) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 1.78/2.18 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 1]: (10932) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) )
% 1.78/2.18 ==> complement( top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10934) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 1.78/2.18 parent0[0]: (10933) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent0: (10934) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10936) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10937) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 1.78/2.18 ( zero, complement( X ) ) ) }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 6]: (10936) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.18 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := top
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10939) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 1.78/2.18 X ) ) ) ==> meet( top, X ) }.
% 1.78/2.18 parent0[0]: (10937) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 1.78/2.18 join( zero, complement( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 1.78/2.18 complement( X ) ) ) ==> meet( top, X ) }.
% 1.78/2.18 parent0: (10939) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement
% 1.78/2.18 ( X ) ) ) ==> meet( top, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10942) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10944) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 1.78/2.18 ( complement( X ), zero ) ) }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 8]: (10942) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.18 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10946) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 1.78/2.18 zero ) ) ==> meet( X, top ) }.
% 1.78/2.18 parent0[0]: (10944) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 1.78/2.18 join( complement( X ), zero ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join(
% 1.78/2.18 complement( X ), zero ) ) ==> meet( X, top ) }.
% 1.78/2.18 parent0: (10946) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 1.78/2.18 zero ) ) ==> meet( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10948) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 1.78/2.18 ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10949) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 3]: (10948) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 1.78/2.18 , X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10950) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 1.78/2.18 parent0[0]: (10949) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent0: (10950) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10952) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 1.78/2.18 , join( Y, Z ) ) }.
% 1.78/2.18 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 1.78/2.18 join( X, Y ), Z ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10954) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 1.78/2.18 join( X, top ) }.
% 1.78/2.18 parent0[0]: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 8]: (10952) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 1.78/2.18 join( X, join( Y, Z ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := zero
% 1.78/2.18 Z := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top
% 1.78/2.18 ) ==> join( X, top ) }.
% 1.78/2.18 parent0: (10954) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 1.78/2.18 join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10958) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 1.78/2.18 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 1.78/2.18 Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10960) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 11]: (10958) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10961) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 1.78/2.18 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 1]: (10960) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10963) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 1.78/2.18 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 1.78/2.18 parent0[0]: (10961) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 1.78/2.18 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition(
% 1.78/2.18 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 1.78/2.18 parent0: (10963) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 1.78/2.18 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10966) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 1.78/2.18 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 1.78/2.18 Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10968) {G1,W17,D7,L1,V2,M1} { complement( converse( X ) ) ==>
% 1.78/2.18 join( composition( converse( converse( Y ) ), complement( converse(
% 1.78/2.18 composition( X, Y ) ) ) ), complement( converse( X ) ) ) }.
% 1.78/2.18 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 1.78/2.18 parent1[0; 10]: (10966) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := converse( Y )
% 1.78/2.18 Y := converse( X )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10969) {G1,W15,D7,L1,V2,M1} { complement( converse( X ) ) ==>
% 1.78/2.18 join( composition( Y, complement( converse( composition( X, Y ) ) ) ),
% 1.78/2.18 complement( converse( X ) ) ) }.
% 1.78/2.18 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.18 parent1[0; 6]: (10968) {G1,W17,D7,L1,V2,M1} { complement( converse( X ) )
% 1.78/2.18 ==> join( composition( converse( converse( Y ) ), complement( converse(
% 1.78/2.18 composition( X, Y ) ) ) ), complement( converse( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10970) {G1,W15,D7,L1,V2,M1} { join( composition( Y, complement(
% 1.78/2.18 converse( composition( X, Y ) ) ) ), complement( converse( X ) ) ) ==>
% 1.78/2.18 complement( converse( X ) ) }.
% 1.78/2.18 parent0[0]: (10969) {G1,W15,D7,L1,V2,M1} { complement( converse( X ) ) ==>
% 1.78/2.18 join( composition( Y, complement( converse( composition( X, Y ) ) ) ),
% 1.78/2.18 complement( converse( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (85) {G1,W15,D7,L1,V2,M1} P(9,10);d(7) { join( composition( X
% 1.78/2.18 , complement( converse( composition( Y, X ) ) ) ), complement( converse(
% 1.78/2.18 Y ) ) ) ==> complement( converse( Y ) ) }.
% 1.78/2.18 parent0: (10970) {G1,W15,D7,L1,V2,M1} { join( composition( Y, complement(
% 1.78/2.18 converse( composition( X, Y ) ) ) ), complement( converse( X ) ) ) ==>
% 1.78/2.18 complement( converse( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10971) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 1.78/2.18 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 1.78/2.18 Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10972) {G1,W13,D6,L1,V2,M1} { complement( X ) ==> join(
% 1.78/2.18 complement( X ), composition( converse( Y ), complement( composition( Y,
% 1.78/2.18 X ) ) ) ) }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 3]: (10971) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := composition( converse( Y ), complement( composition( Y, X ) ) )
% 1.78/2.18 Y := complement( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10975) {G1,W13,D6,L1,V2,M1} { join( complement( X ), composition
% 1.78/2.18 ( converse( Y ), complement( composition( Y, X ) ) ) ) ==> complement( X
% 1.78/2.18 ) }.
% 1.78/2.18 parent0[0]: (10972) {G1,W13,D6,L1,V2,M1} { complement( X ) ==> join(
% 1.78/2.18 complement( X ), composition( converse( Y ), complement( composition( Y,
% 1.78/2.18 X ) ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (88) {G1,W13,D6,L1,V2,M1} P(10,0) { join( complement( Y ),
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ) ) ==>
% 1.78/2.18 complement( Y ) }.
% 1.78/2.18 parent0: (10975) {G1,W13,D6,L1,V2,M1} { join( complement( X ), composition
% 1.78/2.18 ( converse( Y ), complement( composition( Y, X ) ) ) ) ==> complement( X
% 1.78/2.18 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10977) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 1.78/2.18 ), complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 1.78/2.18 complement( X ) ) ==> join( Y, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10979) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 1.78/2.18 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 1.78/2.18 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 1.78/2.18 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 1.78/2.18 converse( X ), Z ) ) ) ) ) }.
% 1.78/2.18 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 1.78/2.18 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 1.78/2.18 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 1.78/2.18 ) ) ) }.
% 1.78/2.18 parent1[0; 9]: (10977) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 1.78/2.18 join( X, Y ), complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := meet( composition( X, Y ), Z )
% 1.78/2.18 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10980) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 1.78/2.18 ), top ) ==> top }.
% 1.78/2.18 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 8]: (10979) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X,
% 1.78/2.18 Y ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse
% 1.78/2.18 ( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 1.78/2.18 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 1.78/2.18 composition( converse( X ), Z ) ) )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 1.78/2.18 composition( X, Y ), Z ), top ) ==> top }.
% 1.78/2.18 parent0: (10980) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 1.78/2.18 ), top ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10983) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X,
% 1.78/2.18 Y ), Z ), top ) }.
% 1.78/2.18 parent0[0]: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 1.78/2.18 composition( X, Y ), Z ), top ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 Z := Z
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10984) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 1.78/2.18 parent1[0; 4]: (10983) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 1.78/2.18 composition( X, Y ), Z ), top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := one
% 1.78/2.18 Z := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10985) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (10984) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top
% 1.78/2.18 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent0: (10985) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10987) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 1.78/2.18 ), complement( X ) ) }.
% 1.78/2.18 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 1.78/2.18 complement( Y ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10989) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 1.78/2.18 complement( meet( X, Y ) ) ) }.
% 1.78/2.18 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent1[0; 5]: (10987) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join(
% 1.78/2.18 join( X, Y ), complement( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := meet( X, Y )
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10991) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 1.78/2.18 ) ) ==> join( top, top ) }.
% 1.78/2.18 parent0[0]: (10989) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top
% 1.78/2.18 , complement( meet( X, Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 1.78/2.18 meet( X, Y ) ) ) ==> join( top, top ) }.
% 1.78/2.18 parent0: (10991) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y
% 1.78/2.18 ) ) ) ==> join( top, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (10993) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 1.78/2.18 complement( complement( X ) ) ) }.
% 1.78/2.18 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 1.78/2.18 complement( X ) ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10996) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero
% 1.78/2.18 ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 1.78/2.18 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 1.78/2.18 ( X ), zero ) ) ==> meet( X, top ) }.
% 1.78/2.18 parent1[0; 10]: (10993) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 1.78/2.18 , complement( complement( X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := join( complement( X ), zero )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10997) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero
% 1.78/2.18 ), top ) ==> join( top, top ) }.
% 1.78/2.18 parent0[0]: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 1.78/2.18 meet( X, Y ) ) ) ==> join( top, top ) }.
% 1.78/2.18 parent1[0; 7]: (10996) {G3,W13,D5,L1,V1,M1} { join( join( complement( X )
% 1.78/2.18 , zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (10998) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 1.78/2.18 join( top, top ) }.
% 1.78/2.18 parent0[0]: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top )
% 1.78/2.18 ==> join( X, top ) }.
% 1.78/2.18 parent1[0; 1]: (10997) {G4,W10,D5,L1,V1,M1} { join( join( complement( X )
% 1.78/2.18 , zero ), top ) ==> join( top, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 1.78/2.18 complement( X ), top ) ==> join( top, top ) }.
% 1.78/2.18 parent0: (10998) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 1.78/2.18 join( top, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11001) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 1.78/2.18 complement( X ), top ) }.
% 1.78/2.18 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 1.78/2.18 complement( X ), top ) ==> join( top, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11003) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X
% 1.78/2.18 , top ), top ) }.
% 1.78/2.18 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 1.78/2.18 ( X ), zero ) ) ==> meet( X, top ) }.
% 1.78/2.18 parent1[0; 5]: (11001) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 1.78/2.18 complement( X ), top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := join( complement( X ), zero )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11004) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 1.78/2.18 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent1[0; 4]: (11003) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join(
% 1.78/2.18 meet( X, top ), top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent0: (11004) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11006) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 1.78/2.18 complement( X ), top ) }.
% 1.78/2.18 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 1.78/2.18 complement( X ), top ) ==> join( top, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11009) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement
% 1.78/2.18 ( X ) ), top ) ==> join( X, top ) }.
% 1.78/2.18 parent1[0; 4]: (11006) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 1.78/2.18 complement( X ), top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := complement( X )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11010) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 1.78/2.18 parent0[0]: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent1[0; 1]: (11009) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X
% 1.78/2.18 , top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11011) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 1.78/2.18 parent0[0]: (11010) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent0: (11011) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11012) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 1.78/2.18 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 1.78/2.18 top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11013) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 1.78/2.18 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.18 parent1[0; 2]: (11012) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11016) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 1.78/2.18 parent0[0]: (11013) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent0: (11016) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11018) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 1.78/2.18 converse( join( converse( X ), Y ) ) }.
% 1.78/2.18 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 1.78/2.18 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11019) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 1.78/2.18 converse( top ) }.
% 1.78/2.18 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 1.78/2.18 top }.
% 1.78/2.18 parent1[0; 6]: (11018) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 1.78/2.18 converse( join( converse( X ), Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := converse( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 1.78/2.18 ) ==> converse( top ) }.
% 1.78/2.18 parent0: (11019) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 1.78/2.18 converse( top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11021) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 1.78/2.18 converse( top ) ) }.
% 1.78/2.18 parent0[0]: (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 1.78/2.18 ) ==> converse( top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11023) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 1.78/2.18 parent0[0]: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 1.78/2.18 parent1[0; 3]: (11021) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 1.78/2.18 converse( top ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := converse( top )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := top
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent0: (11023) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11026) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 1.78/2.18 composition( converse( X ), converse( Y ) ) }.
% 1.78/2.18 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 1.78/2.18 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11027) {G1,W9,D4,L1,V1,M1} { converse( composition( X, top ) )
% 1.78/2.18 ==> composition( top, converse( X ) ) }.
% 1.78/2.18 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 6]: (11026) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X
% 1.78/2.18 ) ) ==> composition( converse( X ), converse( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := top
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11029) {G1,W9,D4,L1,V1,M1} { composition( top, converse( X ) )
% 1.78/2.18 ==> converse( composition( X, top ) ) }.
% 1.78/2.18 parent0[0]: (11027) {G1,W9,D4,L1,V1,M1} { converse( composition( X, top )
% 1.78/2.18 ) ==> composition( top, converse( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (208) {G10,W9,D4,L1,V1,M1} P(206,9) { composition( top,
% 1.78/2.18 converse( X ) ) ==> converse( composition( X, top ) ) }.
% 1.78/2.18 parent0: (11029) {G1,W9,D4,L1,V1,M1} { composition( top, converse( X ) )
% 1.78/2.18 ==> converse( composition( X, top ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11032) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 1.78/2.18 converse( composition( converse( X ), Y ) ) }.
% 1.78/2.18 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 1.78/2.18 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11035) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 1.78/2.18 ==> converse( converse( X ) ) }.
% 1.78/2.18 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 1.78/2.18 parent1[0; 6]: (11032) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ),
% 1.78/2.18 X ) ==> converse( composition( converse( X ), Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := converse( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := one
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11036) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 1.78/2.18 ==> X }.
% 1.78/2.18 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.18 parent1[0; 5]: (11035) {G1,W8,D4,L1,V1,M1} { composition( converse( one )
% 1.78/2.18 , X ) ==> converse( converse( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 1.78/2.18 ( one ), X ) ==> X }.
% 1.78/2.18 parent0: (11036) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 1.78/2.18 ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11038) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ),
% 1.78/2.18 X ) }.
% 1.78/2.18 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 1.78/2.18 ( one ), X ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11040) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 1.78/2.18 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 1.78/2.18 parent1[0; 2]: (11038) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 1.78/2.18 one ), X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := converse( one )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := one
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11041) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 1.78/2.18 parent0[0]: (11040) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one
% 1.78/2.18 }.
% 1.78/2.18 parent0: (11041) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11043) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ),
% 1.78/2.18 X ) }.
% 1.78/2.18 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 1.78/2.18 ( one ), X ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11044) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 1.78/2.18 parent0[0]: (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 3]: (11043) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 1.78/2.18 one ), X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11045) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 1.78/2.18 parent0[0]: (11044) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 1.78/2.18 ==> X }.
% 1.78/2.18 parent0: (11045) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11047) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 1.78/2.18 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 1.78/2.18 Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11049) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.18 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 1.78/2.18 parent0[0]: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 1.78/2.18 ==> X }.
% 1.78/2.18 parent1[0; 8]: (11047) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 1.78/2.18 composition( converse( X ), complement( composition( X, Y ) ) ),
% 1.78/2.18 complement( Y ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := one
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11050) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.18 complement( X ), complement( X ) ) }.
% 1.78/2.18 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 1.78/2.18 ( one ), X ) ==> X }.
% 1.78/2.18 parent1[0; 4]: (11049) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.18 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11051) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 1.78/2.18 ) ) ==> complement( X ) }.
% 1.78/2.18 parent0[0]: (11050) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.18 complement( X ), complement( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement
% 1.78/2.18 ( X ), complement( X ) ) ==> complement( X ) }.
% 1.78/2.18 parent0: (11051) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement(
% 1.78/2.18 X ) ) ==> complement( X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11053) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.18 complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11068) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 1.78/2.18 complement( X ) ) }.
% 1.78/2.18 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 1.78/2.18 X ), complement( X ) ) ==> complement( X ) }.
% 1.78/2.18 parent1[0; 5]: (11053) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.18 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11069) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 1.78/2.18 meet( X, X ) }.
% 1.78/2.18 parent0[0]: (11068) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 1.78/2.18 complement( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 1.78/2.18 ) ) = meet( X, X ) }.
% 1.78/2.18 parent0: (11069) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 1.78/2.18 meet( X, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11070) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 1.78/2.18 complement( X ) ) }.
% 1.78/2.18 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 1.78/2.18 ) ) = meet( X, X ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11071) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11074) {G2,W11,D6,L1,V1,M1} { X ==> join( complement( complement
% 1.78/2.18 ( X ) ), complement( join( complement( X ), X ) ) ) }.
% 1.78/2.18 parent0[0]: (11070) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 1.78/2.18 complement( X ) ) }.
% 1.78/2.18 parent1[0; 3]: (11071) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11075) {G2,W8,D5,L1,V1,M1} { X ==> join( complement( complement
% 1.78/2.18 ( X ) ), complement( top ) ) }.
% 1.78/2.18 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent1[0; 7]: (11074) {G2,W11,D6,L1,V1,M1} { X ==> join( complement(
% 1.78/2.18 complement( X ) ), complement( join( complement( X ), X ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11076) {G2,W7,D5,L1,V1,M1} { X ==> join( complement( complement
% 1.78/2.18 ( X ) ), zero ) }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 6]: (11075) {G2,W8,D5,L1,V1,M1} { X ==> join( complement(
% 1.78/2.18 complement( X ) ), complement( top ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11077) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) )
% 1.78/2.18 , zero ) ==> X }.
% 1.78/2.18 parent0[0]: (11076) {G2,W7,D5,L1,V1,M1} { X ==> join( complement(
% 1.78/2.18 complement( X ) ), zero ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (313) {G7,W7,D5,L1,V1,M1} P(288,30);d(17);d(58) { join(
% 1.78/2.18 complement( complement( X ) ), zero ) ==> X }.
% 1.78/2.18 parent0: (11077) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) )
% 1.78/2.18 , zero ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11079) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11082) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 1.78/2.18 ) ), complement( converse( top ) ) ) }.
% 1.78/2.18 parent0[0]: (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 1.78/2.18 ) ==> converse( top ) }.
% 1.78/2.18 parent1[0; 8]: (11079) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( X )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := converse( top )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11084) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 1.78/2.18 ) ), complement( top ) ) }.
% 1.78/2.18 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 8]: (11082) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X,
% 1.78/2.18 converse( top ) ), complement( converse( top ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11085) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 1.78/2.18 complement( top ) ) }.
% 1.78/2.18 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.18 }.
% 1.78/2.18 parent1[0; 5]: (11084) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 1.78/2.18 ( top ) ), complement( top ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11088) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 6]: (11085) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 1.78/2.18 complement( top ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11089) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (11088) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 1.78/2.18 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet
% 1.78/2.18 ( X, top ), zero ) ==> X }.
% 1.78/2.18 parent0: (11089) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11091) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 1.78/2.18 ), complement( X ) ) }.
% 1.78/2.18 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 1.78/2.18 complement( Y ) ) ==> join( X, top ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := Y
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11093) {G2,W14,D6,L1,V2,M1} { join( complement( join( complement
% 1.78/2.18 ( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) ) }.
% 1.78/2.18 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 parent1[0; 9]: (11091) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join(
% 1.78/2.18 join( X, Y ), complement( X ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := meet( X, Y )
% 1.78/2.18 Y := complement( join( complement( X ), Y ) )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11094) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet(
% 1.78/2.18 X, Y ) ) ) }.
% 1.78/2.18 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 1.78/2.18 top }.
% 1.78/2.18 parent1[0; 1]: (11093) {G2,W14,D6,L1,V2,M1} { join( complement( join(
% 1.78/2.18 complement( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := complement( join( complement( X ), Y ) )
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11095) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 1.78/2.18 ) ==> top }.
% 1.78/2.18 parent0[0]: (11094) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement(
% 1.78/2.18 meet( X, Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (330) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X,
% 1.78/2.18 complement( meet( X, Y ) ) ) ==> top }.
% 1.78/2.18 parent0: (11095) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 1.78/2.18 ) ==> top }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11097) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11099) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 1.78/2.18 complement( top ) ) }.
% 1.78/2.18 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 1.78/2.18 ==> top }.
% 1.78/2.18 parent1[0; 7]: (11097) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11100) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 6]: (11099) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 1.78/2.18 complement( top ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11101) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 1.78/2.18 parent0[0]: (11100) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (332) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X )
% 1.78/2.18 , zero ) ==> X }.
% 1.78/2.18 parent0: (11101) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11103) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11105) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 1.78/2.18 ( complement( X ), complement( X ) ) ) ) }.
% 1.78/2.18 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 1.78/2.18 zero }.
% 1.78/2.18 parent1[0; 3]: (11103) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.18 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 Y := complement( X )
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11106) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.18 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.18 parent1[0; 4]: (11105) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 1.78/2.18 ( join( complement( X ), complement( X ) ) ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := X
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11107) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 1.78/2.18 parent0[0]: (11106) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (337) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X
% 1.78/2.18 , X ) ) ==> X }.
% 1.78/2.18 parent0: (11107) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 eqswap: (11108) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet
% 1.78/2.18 ( X, top ), zero ) ==> X }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (11109) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 1.78/2.18 }.
% 1.78/2.18 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 1.78/2.19 Y ) }.
% 1.78/2.19 parent1[0; 3]: (11108) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 1.78/2.19 zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := top
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11112) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (11109) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 1.78/2.19 ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (342) {G11,W7,D4,L1,V1,M1} P(56,318) { join( meet( top, X ),
% 1.78/2.19 zero ) ==> X }.
% 1.78/2.19 parent0: (11112) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11114) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 1.78/2.19 ), complement( Y ) ) }.
% 1.78/2.19 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 1.78/2.19 complement( X ) ) ==> join( Y, top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11116) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top ) ==>
% 1.78/2.19 join( X, complement( zero ) ) }.
% 1.78/2.19 parent0[0]: (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet
% 1.78/2.19 ( X, top ), zero ) ==> X }.
% 1.78/2.19 parent1[0; 7]: (11114) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 1.78/2.19 join( X, Y ), complement( Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := meet( X, top )
% 1.78/2.19 Y := zero
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11117) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 1.78/2.19 ) }.
% 1.78/2.19 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 parent1[0; 1]: (11116) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top )
% 1.78/2.19 ==> join( X, complement( zero ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := meet( X, top )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11118) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 parent0[0]: (11117) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 1.78/2.19 zero ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X,
% 1.78/2.19 complement( zero ) ) ==> top }.
% 1.78/2.19 parent0: (11118) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11119) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 1.78/2.19 ) }.
% 1.78/2.19 parent0[0]: (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X,
% 1.78/2.19 complement( zero ) ) ==> top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11121) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 1.78/2.19 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 1.78/2.19 X ), complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 parent1[0; 2]: (11119) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement
% 1.78/2.19 ( zero ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := zero
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := complement( zero )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11122) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 1.78/2.19 parent0[0]: (11121) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (347) {G12,W4,D3,L1,V0,M1} P(344,280) { complement( zero ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 parent0: (11122) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11124) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.19 complement( X ), complement( Y ) ) ) }.
% 1.78/2.19 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.19 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11126) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement( top
% 1.78/2.19 ) }.
% 1.78/2.19 parent0[0]: (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X,
% 1.78/2.19 complement( zero ) ) ==> top }.
% 1.78/2.19 parent1[0; 5]: (11124) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.19 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := complement( X )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := zero
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11127) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 1.78/2.19 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 4]: (11126) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==>
% 1.78/2.19 complement( top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (348) {G12,W5,D3,L1,V1,M1} P(344,3);d(58) { meet( X, zero )
% 1.78/2.19 ==> zero }.
% 1.78/2.19 parent0: (11127) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11129) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (342) {G11,W7,D4,L1,V1,M1} P(56,318) { join( meet( top, X ),
% 1.78/2.19 zero ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11130) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.19 parent1[0; 2]: (11129) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 1.78/2.19 zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := meet( top, X )
% 1.78/2.19 Y := zero
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11133) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (11130) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 1.78/2.19 ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (357) {G12,W7,D4,L1,V1,M1} P(342,0) { join( zero, meet( top, X
% 1.78/2.19 ) ) ==> X }.
% 1.78/2.19 parent0: (11133) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11135) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.19 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11137) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join( meet(
% 1.78/2.19 complement( X ), zero ), complement( X ) ) }.
% 1.78/2.19 parent0[0]: (313) {G7,W7,D5,L1,V1,M1} P(288,30);d(17);d(58) { join(
% 1.78/2.19 complement( complement( X ) ), zero ) ==> X }.
% 1.78/2.19 parent1[0; 9]: (11135) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := complement( X )
% 1.78/2.19 Y := zero
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11138) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 1.78/2.19 complement( X ) ) }.
% 1.78/2.19 parent0[0]: (348) {G12,W5,D3,L1,V1,M1} P(344,3);d(58) { meet( X, zero ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 4]: (11137) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.19 meet( complement( X ), zero ), complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := complement( X )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11139) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 1.78/2.19 complement( X ) }.
% 1.78/2.19 parent0[0]: (11138) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 1.78/2.19 complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 1.78/2.19 complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 parent0: (11139) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 1.78/2.19 complement( X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11141) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 1.78/2.19 complement( X ) ) }.
% 1.78/2.19 parent0[0]: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 1.78/2.19 complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11144) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 1.78/2.19 join( zero, meet( X, X ) ) }.
% 1.78/2.19 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 1.78/2.19 ) ) = meet( X, X ) }.
% 1.78/2.19 parent1[0; 6]: (11141) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.19 zero, complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := complement( X )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11145) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet(
% 1.78/2.19 X, X ) ) }.
% 1.78/2.19 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 1.78/2.19 ) ) = meet( X, X ) }.
% 1.78/2.19 parent1[0; 1]: (11144) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 1.78/2.19 ==> join( zero, meet( X, X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11148) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 1.78/2.19 parent0[0]: (337) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 1.78/2.19 X ) ) ==> X }.
% 1.78/2.19 parent1[0; 4]: (11145) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 1.78/2.19 meet( X, X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (375) {G14,W5,D3,L1,V1,M1} P(288,365);d(337) { meet( X, X )
% 1.78/2.19 ==> X }.
% 1.78/2.19 parent0: (11148) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11152) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement
% 1.78/2.19 ( Y ) ) = join( complement( Y ), X ) }.
% 1.78/2.19 parent0[0]: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 1.78/2.19 complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 parent1[0; 8]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 1.78/2.19 X ) = join( join( Z, X ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := complement( Y )
% 1.78/2.19 Y := X
% 1.78/2.19 Z := zero
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (376) {G14,W11,D4,L1,V2,M1} P(365,19) { join( join( zero, Y )
% 1.78/2.19 , complement( X ) ) ==> join( complement( X ), Y ) }.
% 1.78/2.19 parent0: (11152) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement
% 1.78/2.19 ( Y ) ) = join( complement( Y ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11154) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 1.78/2.19 ( zero, complement( X ) ) ) }.
% 1.78/2.19 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 1.78/2.19 complement( X ) ) ) ==> meet( top, X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11161) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 1.78/2.19 complement( X ) ) }.
% 1.78/2.19 parent0[0]: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 1.78/2.19 complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 parent1[0; 5]: (11154) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 1.78/2.19 ( join( zero, complement( X ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==>
% 1.78/2.19 complement( complement( X ) ) }.
% 1.78/2.19 parent0: (11161) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 1.78/2.19 complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11164) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 1.78/2.19 complement( X ) ) }.
% 1.78/2.19 parent0[0]: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 1.78/2.19 complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11169) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 1.78/2.19 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 1.78/2.19 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 1.78/2.19 complement( X ) ) ) ==> meet( top, X ) }.
% 1.78/2.19 parent1[0; 8]: (11164) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.19 zero, complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := join( zero, complement( X ) )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11170) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 1.78/2.19 ( top, X ) ) }.
% 1.78/2.19 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 1.78/2.19 complement( X ) ) ) ==> meet( top, X ) }.
% 1.78/2.19 parent1[0; 1]: (11169) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 1.78/2.19 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11172) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 1.78/2.19 parent0[0]: (357) {G12,W7,D4,L1,V1,M1} P(342,0) { join( zero, meet( top, X
% 1.78/2.19 ) ) ==> X }.
% 1.78/2.19 parent1[0; 4]: (11170) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 1.78/2.19 , meet( top, X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11173) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==>
% 1.78/2.19 complement( complement( X ) ) }.
% 1.78/2.19 parent1[0; 1]: (11172) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) {
% 1.78/2.19 complement( complement( X ) ) ==> X }.
% 1.78/2.19 parent0: (11173) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11176) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 1.78/2.19 parent0[0]: (337) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 1.78/2.19 X ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11177) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 1.78/2.19 parent0[0]: (375) {G14,W5,D3,L1,V1,M1} P(288,365);d(337) { meet( X, X ) ==>
% 1.78/2.19 X }.
% 1.78/2.19 parent1[0; 4]: (11176) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X
% 1.78/2.19 ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11178) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 1.78/2.19 parent0[0]: (11177) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (385) {G15,W5,D3,L1,V1,M1} P(375,337) { join( zero, X ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent0: (11178) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11180) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 1.78/2.19 parent0[0]: (332) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X ),
% 1.78/2.19 zero ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11181) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 1.78/2.19 parent0[0]: (375) {G14,W5,D3,L1,V1,M1} P(288,365);d(337) { meet( X, X ) ==>
% 1.78/2.19 X }.
% 1.78/2.19 parent1[0; 3]: (11180) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 1.78/2.19 zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11182) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 1.78/2.19 parent0[0]: (11181) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (386) {G15,W5,D3,L1,V1,M1} P(375,332) { join( X, zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent0: (11182) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11184) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 1.78/2.19 converse( join( converse( X ), Y ) ) }.
% 1.78/2.19 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 1.78/2.19 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11186) {G2,W8,D4,L1,V1,M1} { join( X, converse( zero ) ) ==>
% 1.78/2.19 converse( converse( X ) ) }.
% 1.78/2.19 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(375,332) { join( X, zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 6]: (11184) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 1.78/2.19 converse( join( converse( X ), Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := converse( X )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := zero
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11187) {G1,W6,D4,L1,V1,M1} { join( X, converse( zero ) ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 5]: (11186) {G2,W8,D4,L1,V1,M1} { join( X, converse( zero ) )
% 1.78/2.19 ==> converse( converse( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (390) {G16,W6,D4,L1,V1,M1} P(386,42);d(7) { join( X, converse
% 1.78/2.19 ( zero ) ) ==> X }.
% 1.78/2.19 parent0: (11187) {G1,W6,D4,L1,V1,M1} { join( X, converse( zero ) ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11190) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 1.78/2.19 ( X ), complement( X ) ) }.
% 1.78/2.19 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 1.78/2.19 X ), complement( X ) ) ==> complement( X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11193) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 1.78/2.19 join( complement( complement( X ) ), X ) }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 8]: (11190) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 1.78/2.19 complement( X ), complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := complement( X )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11195) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 1.78/2.19 join( X, X ) }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 5]: (11193) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 1.78/2.19 ==> join( complement( complement( X ) ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11196) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 1]: (11195) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 1.78/2.19 ==> join( X, X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11202) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 1.78/2.19 parent0[0]: (11196) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 1.78/2.19 parent0: (11202) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11206) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 1.78/2.19 complement( X ), complement( Y ) ) ) }.
% 1.78/2.19 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 1.78/2.19 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11210) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 1.78/2.19 complement( join( complement( X ), Y ) ) }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 9]: (11206) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 1.78/2.19 ( join( complement( X ), complement( Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := complement( Y )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11212) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 1.78/2.19 Y ) ) ==> meet( X, complement( Y ) ) }.
% 1.78/2.19 parent0[0]: (11210) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 1.78/2.19 complement( join( complement( X ), Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (395) {G16,W10,D5,L1,V2,M1} P(381,3) { complement( join(
% 1.78/2.19 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 1.78/2.19 parent0: (11212) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X )
% 1.78/2.19 , Y ) ) ==> meet( X, complement( Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11213) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 1.78/2.19 parent0[0]: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11216) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 1.78/2.19 join( X, Y ) ), Y ) }.
% 1.78/2.19 parent0[0]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 1.78/2.19 = join( join( Z, X ), Y ) }.
% 1.78/2.19 parent1[0; 4]: (11213) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := join( X, Y )
% 1.78/2.19 Y := Y
% 1.78/2.19 Z := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := join( X, Y )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11218) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join
% 1.78/2.19 ( X, X ), Y ), Y ) }.
% 1.78/2.19 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 1.78/2.19 join( X, Y ), Z ) }.
% 1.78/2.19 parent1[0; 5]: (11216) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join
% 1.78/2.19 ( X, join( X, Y ) ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := X
% 1.78/2.19 Z := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11219) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 1.78/2.19 parent1[0; 6]: (11218) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join
% 1.78/2.19 ( join( X, X ), Y ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11220) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (11219) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 1.78/2.19 Y ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (397) {G17,W9,D4,L1,V2,M1} P(392,19);d(1);d(392) { join( join
% 1.78/2.19 ( X, Y ), Y ) ==> join( X, Y ) }.
% 1.78/2.19 parent0: (11220) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 1.78/2.19 , Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11229) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X,
% 1.78/2.19 Y ) }.
% 1.78/2.19 parent0[0]: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 1.78/2.19 parent1[0; 7]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 1.78/2.19 X ) = join( join( Z, X ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 Z := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (398) {G17,W9,D4,L1,V2,M1} P(392,19) { join( join( X, Y ), X )
% 1.78/2.19 ==> join( X, Y ) }.
% 1.78/2.19 parent0: (11229) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X,
% 1.78/2.19 Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11230) {G16,W6,D4,L1,V1,M1} { X ==> join( X, converse( zero ) )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (390) {G16,W6,D4,L1,V1,M1} P(386,42);d(7) { join( X, converse(
% 1.78/2.19 zero ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11232) {G16,W4,D3,L1,V0,M1} { zero ==> converse( zero ) }.
% 1.78/2.19 parent0[0]: (385) {G15,W5,D3,L1,V1,M1} P(375,337) { join( zero, X ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 2]: (11230) {G16,W6,D4,L1,V1,M1} { X ==> join( X, converse(
% 1.78/2.19 zero ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := converse( zero )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := zero
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11233) {G16,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 1.78/2.19 parent0[0]: (11232) {G16,W4,D3,L1,V0,M1} { zero ==> converse( zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (400) {G17,W4,D3,L1,V0,M1} P(390,385) { converse( zero ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent0: (11233) {G16,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11236) {G15,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 4]: (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==>
% 1.78/2.19 complement( complement( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (407) {G16,W5,D3,L1,V1,M1} S(380);d(381) { meet( top, X ) ==>
% 1.78/2.19 X }.
% 1.78/2.19 parent0: (11236) {G15,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11239) {G2,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 1.78/2.19 join( X, Y ) ), X ), Y ) }.
% 1.78/2.19 parent0[0]: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 1.78/2.19 join( X, Y ) ), X ), Y ) ==> top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11242) {G3,W11,D5,L1,V2,M1} { top ==> join( join( complement(
% 1.78/2.19 top ), X ), complement( meet( X, Y ) ) ) }.
% 1.78/2.19 parent0[0]: (330) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X, complement
% 1.78/2.19 ( meet( X, Y ) ) ) ==> top }.
% 1.78/2.19 parent1[0; 5]: (11239) {G2,W10,D6,L1,V2,M1} { top ==> join( join(
% 1.78/2.19 complement( join( X, Y ) ), X ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := complement( meet( X, Y ) )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11243) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X ),
% 1.78/2.19 complement( meet( X, Y ) ) ) }.
% 1.78/2.19 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 4]: (11242) {G3,W11,D5,L1,V2,M1} { top ==> join( join(
% 1.78/2.19 complement( top ), X ), complement( meet( X, Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11244) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X,
% 1.78/2.19 Y ) ), X ) }.
% 1.78/2.19 parent0[0]: (376) {G14,W11,D4,L1,V2,M1} P(365,19) { join( join( zero, Y ),
% 1.78/2.19 complement( X ) ) ==> join( complement( X ), Y ) }.
% 1.78/2.19 parent1[0; 2]: (11243) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X
% 1.78/2.19 ), complement( meet( X, Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := meet( X, Y )
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11245) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X
% 1.78/2.19 ) ==> top }.
% 1.78/2.19 parent0[0]: (11244) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet(
% 1.78/2.19 X, Y ) ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (430) {G15,W8,D5,L1,V2,M1} P(330,21);d(58);d(376) { join(
% 1.78/2.19 complement( meet( X, Y ) ), X ) ==> top }.
% 1.78/2.19 parent0: (11245) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X
% 1.78/2.19 ) ==> top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11246) {G15,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X,
% 1.78/2.19 Y ) ), X ) }.
% 1.78/2.19 parent0[0]: (430) {G15,W8,D5,L1,V2,M1} P(330,21);d(58);d(376) { join(
% 1.78/2.19 complement( meet( X, Y ) ), X ) ==> top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11247) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet( Y,
% 1.78/2.19 X ) ), X ) }.
% 1.78/2.19 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 1.78/2.19 Y ) }.
% 1.78/2.19 parent1[0; 4]: (11246) {G15,W8,D5,L1,V2,M1} { top ==> join( complement(
% 1.78/2.19 meet( X, Y ) ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11250) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y
% 1.78/2.19 ) ==> top }.
% 1.78/2.19 parent0[0]: (11247) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet(
% 1.78/2.19 Y, X ) ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (444) {G16,W8,D5,L1,V2,M1} P(56,430) { join( complement( meet
% 1.78/2.19 ( Y, X ) ), X ) ==> top }.
% 1.78/2.19 parent0: (11250) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y
% 1.78/2.19 ) ==> top }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11252) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.19 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11255) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet
% 1.78/2.19 ( X, Y ), Y ), complement( top ) ) }.
% 1.78/2.19 parent0[0]: (444) {G16,W8,D5,L1,V2,M1} P(56,430) { join( complement( meet(
% 1.78/2.19 Y, X ) ), X ) ==> top }.
% 1.78/2.19 parent1[0; 11]: (11252) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := meet( X, Y )
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11256) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet
% 1.78/2.19 ( X, Y ), Y ), zero ) }.
% 1.78/2.19 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 10]: (11255) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 1.78/2.19 ( meet( X, Y ), Y ), complement( top ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11257) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(375,332) { join( X, zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 4]: (11256) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 1.78/2.19 ( meet( X, Y ), Y ), zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := meet( meet( X, Y ), Y )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11258) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (11257) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X,
% 1.78/2.19 Y ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (447) {G17,W9,D4,L1,V2,M1} P(444,30);d(58);d(386) { meet( meet
% 1.78/2.19 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 1.78/2.19 parent0: (11258) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X
% 1.78/2.19 , Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11259) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (447) {G17,W9,D4,L1,V2,M1} P(444,30);d(58);d(386) { meet( meet
% 1.78/2.19 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11262) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X,
% 1.78/2.19 Y ) ) }.
% 1.78/2.19 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 1.78/2.19 Y ) }.
% 1.78/2.19 parent1[0; 4]: (11259) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet
% 1.78/2.19 ( X, Y ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := meet( X, Y )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11275) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (11262) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet(
% 1.78/2.19 X, Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (480) {G18,W9,D4,L1,V2,M1} P(447,56) { meet( Y, meet( X, Y ) )
% 1.78/2.19 ==> meet( X, Y ) }.
% 1.78/2.19 parent0: (11275) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 1.78/2.19 , Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11277) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 1.78/2.19 , Y ) }.
% 1.78/2.19 parent0[0]: (397) {G17,W9,D4,L1,V2,M1} P(392,19);d(1);d(392) { join( join(
% 1.78/2.19 X, Y ), Y ) ==> join( X, Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11280) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 1.78/2.19 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 1.78/2.19 ( X ), Y ) ) ) }.
% 1.78/2.19 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.19 parent1[0; 11]: (11277) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 1.78/2.19 ( X, Y ), Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := meet( X, Y )
% 1.78/2.19 Y := complement( join( complement( X ), Y ) )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11281) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 1.78/2.19 complement( X ), Y ) ) ) }.
% 1.78/2.19 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) ==> X }.
% 1.78/2.19 parent1[0; 1]: (11280) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 1.78/2.19 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 1.78/2.19 ( complement( X ), Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11288) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement
% 1.78/2.19 ( Y ) ) ) }.
% 1.78/2.19 parent0[0]: (395) {G16,W10,D5,L1,V2,M1} P(381,3) { complement( join(
% 1.78/2.19 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 1.78/2.19 parent1[0; 4]: (11281) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 1.78/2.19 join( complement( X ), Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11289) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 1.78/2.19 ) ==> X }.
% 1.78/2.19 parent0[0]: (11288) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 1.78/2.19 complement( Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (486) {G18,W8,D5,L1,V2,M1} P(30,397);d(395) { join( X, meet( X
% 1.78/2.19 , complement( Y ) ) ) ==> X }.
% 1.78/2.19 parent0: (11289) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 1.78/2.19 ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11291) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement
% 1.78/2.19 ( Y ) ) ) }.
% 1.78/2.19 parent0[0]: (486) {G18,W8,D5,L1,V2,M1} P(30,397);d(395) { join( X, meet( X
% 1.78/2.19 , complement( Y ) ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11292) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 6]: (11291) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 1.78/2.19 complement( Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := complement( Y )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11293) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 1.78/2.19 parent0[0]: (11292) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X )
% 1.78/2.19 ) ==> Y }.
% 1.78/2.19 parent0: (11293) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11295) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 1.78/2.19 parent0[0]: (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X ) )
% 1.78/2.19 ==> Y }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11296) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 1.78/2.19 parent0[0]: (480) {G18,W9,D4,L1,V2,M1} P(447,56) { meet( Y, meet( X, Y ) )
% 1.78/2.19 ==> meet( X, Y ) }.
% 1.78/2.19 parent1[0; 4]: (11295) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y )
% 1.78/2.19 ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := meet( Y, X )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11297) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 1.78/2.19 parent0[0]: (11296) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (510) {G20,W7,D4,L1,V2,M1} P(480,495) { join( X, meet( Y, X )
% 1.78/2.19 ) ==> X }.
% 1.78/2.19 parent0: (11297) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11298) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 1.78/2.19 parent0[0]: (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X ) )
% 1.78/2.19 ==> Y }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11299) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 1.78/2.19 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 1.78/2.19 parent1[0; 2]: (11298) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y )
% 1.78/2.19 ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := meet( X, Y )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11302) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 1.78/2.19 parent0[0]: (11299) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X )
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (525) {G20,W7,D4,L1,V2,M1} P(495,0) { join( meet( X, Y ), X )
% 1.78/2.19 ==> X }.
% 1.78/2.19 parent0: (11302) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11305) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 1.78/2.19 complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.19 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(375,332) { join( X, zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 1]: (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition(
% 1.78/2.19 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := composition( converse( X ), complement( composition( X, top ) ) )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (947) {G16,W9,D5,L1,V1,M1} S(82);d(386) { composition(
% 1.78/2.19 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.19 parent0: (11305) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 1.78/2.19 complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11308) {G16,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 1.78/2.19 , complement( composition( X, top ) ) ) }.
% 1.78/2.19 parent0[0]: (947) {G16,W9,D5,L1,V1,M1} S(82);d(386) { composition( converse
% 1.78/2.19 ( X ), complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11309) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 1.78/2.19 complement( composition( top, top ) ) ) }.
% 1.78/2.19 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 3]: (11308) {G16,W9,D5,L1,V1,M1} { zero ==> composition(
% 1.78/2.19 converse( X ), complement( composition( X, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := top
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11310) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 1.78/2.19 composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 parent0[0]: (11309) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 1.78/2.19 complement( composition( top, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (981) {G17,W8,D5,L1,V0,M1} P(206,947) { composition( top,
% 1.78/2.19 complement( composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 parent0: (11310) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 1.78/2.19 composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11312) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 1.78/2.19 join( composition( X, Y ), composition( Z, Y ) ) }.
% 1.78/2.19 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 1.78/2.19 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Z
% 1.78/2.19 Z := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11317) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 1.78/2.19 complement( composition( top, top ) ) ) ==> join( composition( X,
% 1.78/2.19 complement( composition( top, top ) ) ), zero ) }.
% 1.78/2.19 parent0[0]: (981) {G17,W8,D5,L1,V0,M1} P(206,947) { composition( top,
% 1.78/2.19 complement( composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 parent1[0; 16]: (11312) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ),
% 1.78/2.19 Y ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := complement( composition( top, top ) )
% 1.78/2.19 Z := top
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11318) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 1.78/2.19 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 1.78/2.19 composition( top, top ) ) ) }.
% 1.78/2.19 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(375,332) { join( X, zero ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 9]: (11317) {G1,W17,D6,L1,V1,M1} { composition( join( X, top )
% 1.78/2.19 , complement( composition( top, top ) ) ) ==> join( composition( X,
% 1.78/2.19 complement( composition( top, top ) ) ), zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := composition( X, complement( composition( top, top ) ) )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11319) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 1.78/2.19 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 1.78/2.19 top, top ) ) ) }.
% 1.78/2.19 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 parent1[0; 2]: (11318) {G2,W15,D5,L1,V1,M1} { composition( join( X, top )
% 1.78/2.19 , complement( composition( top, top ) ) ) ==> composition( X, complement
% 1.78/2.19 ( composition( top, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11320) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 1.78/2.19 ( composition( top, top ) ) ) }.
% 1.78/2.19 parent0[0]: (981) {G17,W8,D5,L1,V0,M1} P(206,947) { composition( top,
% 1.78/2.19 complement( composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 parent1[0; 1]: (11319) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 1.78/2.19 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 1.78/2.19 ( top, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11321) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 1.78/2.19 composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 parent0[0]: (11320) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 1.78/2.19 complement( composition( top, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (986) {G18,W8,D5,L1,V1,M1} P(981,6);d(386);d(171);d(981) {
% 1.78/2.19 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 parent0: (11321) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 1.78/2.19 composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11322) {G18,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 1.78/2.19 ( composition( top, top ) ) ) }.
% 1.78/2.19 parent0[0]: (986) {G18,W8,D5,L1,V1,M1} P(981,6);d(386);d(171);d(981) {
% 1.78/2.19 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11324) {G5,W6,D4,L1,V0,M1} { zero ==> complement( composition(
% 1.78/2.19 top, top ) ) }.
% 1.78/2.19 parent0[0]: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 1.78/2.19 ==> X }.
% 1.78/2.19 parent1[0; 2]: (11322) {G18,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 1.78/2.19 complement( composition( top, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := complement( composition( top, top ) )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := one
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11325) {G5,W6,D4,L1,V0,M1} { complement( composition( top, top )
% 1.78/2.19 ) ==> zero }.
% 1.78/2.19 parent0[0]: (11324) {G5,W6,D4,L1,V0,M1} { zero ==> complement( composition
% 1.78/2.19 ( top, top ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (991) {G19,W6,D4,L1,V0,M1} P(986,275) { complement(
% 1.78/2.19 composition( top, top ) ) ==> zero }.
% 1.78/2.19 parent0: (11325) {G5,W6,D4,L1,V0,M1} { complement( composition( top, top )
% 1.78/2.19 ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11327) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 1.78/2.19 ( complement( X ) ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11329) {G16,W6,D3,L1,V0,M1} { composition( top, top ) ==>
% 1.78/2.19 complement( zero ) }.
% 1.78/2.19 parent0[0]: (991) {G19,W6,D4,L1,V0,M1} P(986,275) { complement( composition
% 1.78/2.19 ( top, top ) ) ==> zero }.
% 1.78/2.19 parent1[0; 5]: (11327) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement
% 1.78/2.19 ( X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := composition( top, top )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11330) {G13,W5,D3,L1,V0,M1} { composition( top, top ) ==> top
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (347) {G12,W4,D3,L1,V0,M1} P(344,280) { complement( zero ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 parent1[0; 4]: (11329) {G16,W6,D3,L1,V0,M1} { composition( top, top ) ==>
% 1.78/2.19 complement( zero ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1002) {G20,W5,D3,L1,V0,M1} P(991,381);d(347) { composition(
% 1.78/2.19 top, top ) ==> top }.
% 1.78/2.19 parent0: (11330) {G13,W5,D3,L1,V0,M1} { composition( top, top ) ==> top
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11333) {G0,W27,D8,L1,V3,M1} { meet( composition( X, meet( Y,
% 1.78/2.19 composition( converse( X ), Z ) ) ), Z ) ==> join( meet( composition( X,
% 1.78/2.19 Y ), Z ), meet( composition( X, meet( Y, composition( converse( X ), Z )
% 1.78/2.19 ) ), Z ) ) }.
% 1.78/2.19 parent0[0]: (14) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ),
% 1.78/2.19 Z ), meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ),
% 1.78/2.19 Z ) ) ==> meet( composition( X, meet( Y, composition( converse( X ), Z )
% 1.78/2.19 ) ), Z ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 Z := Z
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11341) {G1,W25,D8,L1,V1,M1} { meet( composition( top, meet( top
% 1.78/2.19 , composition( converse( top ), X ) ) ), X ) ==> join( meet( top, X ),
% 1.78/2.19 meet( composition( top, meet( top, composition( converse( top ), X ) ) )
% 1.78/2.19 , X ) ) }.
% 1.78/2.19 parent0[0]: (1002) {G20,W5,D3,L1,V0,M1} P(991,381);d(347) { composition(
% 1.78/2.19 top, top ) ==> top }.
% 1.78/2.19 parent1[0; 13]: (11333) {G0,W27,D8,L1,V3,M1} { meet( composition( X, meet
% 1.78/2.19 ( Y, composition( converse( X ), Z ) ) ), Z ) ==> join( meet( composition
% 1.78/2.19 ( X, Y ), Z ), meet( composition( X, meet( Y, composition( converse( X )
% 1.78/2.19 , Z ) ) ), Z ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := top
% 1.78/2.19 Y := top
% 1.78/2.19 Z := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11344) {G2,W23,D8,L1,V1,M1} { meet( composition( top, meet( top
% 1.78/2.19 , composition( converse( top ), X ) ) ), X ) ==> join( X, meet(
% 1.78/2.19 composition( top, meet( top, composition( converse( top ), X ) ) ), X ) )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (407) {G16,W5,D3,L1,V1,M1} S(380);d(381) { meet( top, X ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 12]: (11341) {G1,W25,D8,L1,V1,M1} { meet( composition( top,
% 1.78/2.19 meet( top, composition( converse( top ), X ) ) ), X ) ==> join( meet( top
% 1.78/2.19 , X ), meet( composition( top, meet( top, composition( converse( top ), X
% 1.78/2.19 ) ) ), X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11349) {G3,W12,D7,L1,V1,M1} { meet( composition( top, meet( top
% 1.78/2.19 , composition( converse( top ), X ) ) ), X ) ==> X }.
% 1.78/2.19 parent0[0]: (510) {G20,W7,D4,L1,V2,M1} P(480,495) { join( X, meet( Y, X ) )
% 1.78/2.19 ==> X }.
% 1.78/2.19 parent1[0; 11]: (11344) {G2,W23,D8,L1,V1,M1} { meet( composition( top,
% 1.78/2.19 meet( top, composition( converse( top ), X ) ) ), X ) ==> join( X, meet(
% 1.78/2.19 composition( top, meet( top, composition( converse( top ), X ) ) ), X ) )
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := composition( top, meet( top, composition( converse( top ), X ) ) )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11350) {G4,W10,D6,L1,V1,M1} { meet( composition( top,
% 1.78/2.19 composition( converse( top ), X ) ), X ) ==> X }.
% 1.78/2.19 parent0[0]: (407) {G16,W5,D3,L1,V1,M1} S(380);d(381) { meet( top, X ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 4]: (11349) {G3,W12,D7,L1,V1,M1} { meet( composition( top, meet
% 1.78/2.19 ( top, composition( converse( top ), X ) ) ), X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := composition( converse( top ), X )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11351) {G1,W10,D6,L1,V1,M1} { meet( composition( composition(
% 1.78/2.19 top, converse( top ) ), X ), X ) ==> X }.
% 1.78/2.19 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 1.78/2.19 ) ) ==> composition( composition( X, Y ), Z ) }.
% 1.78/2.19 parent1[0; 2]: (11350) {G4,W10,D6,L1,V1,M1} { meet( composition( top,
% 1.78/2.19 composition( converse( top ), X ) ), X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := top
% 1.78/2.19 Y := converse( top )
% 1.78/2.19 Z := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11352) {G2,W10,D6,L1,V1,M1} { meet( composition( converse(
% 1.78/2.19 composition( top, top ) ), X ), X ) ==> X }.
% 1.78/2.19 parent0[0]: (208) {G10,W9,D4,L1,V1,M1} P(206,9) { composition( top,
% 1.78/2.19 converse( X ) ) ==> converse( composition( X, top ) ) }.
% 1.78/2.19 parent1[0; 3]: (11351) {G1,W10,D6,L1,V1,M1} { meet( composition(
% 1.78/2.19 composition( top, converse( top ) ), X ), X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := top
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11353) {G3,W8,D5,L1,V1,M1} { meet( composition( converse( top )
% 1.78/2.19 , X ), X ) ==> X }.
% 1.78/2.19 parent0[0]: (1002) {G20,W5,D3,L1,V0,M1} P(991,381);d(347) { composition(
% 1.78/2.19 top, top ) ==> top }.
% 1.78/2.19 parent1[0; 4]: (11352) {G2,W10,D6,L1,V1,M1} { meet( composition( converse
% 1.78/2.19 ( composition( top, top ) ), X ), X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11354) {G4,W7,D4,L1,V1,M1} { meet( composition( top, X ), X )
% 1.78/2.19 ==> X }.
% 1.78/2.19 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 3]: (11353) {G3,W8,D5,L1,V1,M1} { meet( composition( converse(
% 1.78/2.19 top ), X ), X ) ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1014) {G21,W7,D4,L1,V1,M1} P(1002,14);d(407);d(510);d(407);d(
% 1.78/2.19 4);d(208);d(1002);d(206) { meet( composition( top, X ), X ) ==> X }.
% 1.78/2.19 parent0: (11354) {G4,W7,D4,L1,V1,M1} { meet( composition( top, X ), X )
% 1.78/2.19 ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11357) {G0,W11,D4,L1,V3,M1} { composition( composition( X, Y ), Z
% 1.78/2.19 ) ==> composition( X, composition( Y, Z ) ) }.
% 1.78/2.19 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 1.78/2.19 ) ) ==> composition( composition( X, Y ), Z ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 Z := Z
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11359) {G1,W9,D4,L1,V1,M1} { composition( composition( X, top )
% 1.78/2.19 , top ) ==> composition( X, top ) }.
% 1.78/2.19 parent0[0]: (1002) {G20,W5,D3,L1,V0,M1} P(991,381);d(347) { composition(
% 1.78/2.19 top, top ) ==> top }.
% 1.78/2.19 parent1[0; 8]: (11357) {G0,W11,D4,L1,V3,M1} { composition( composition( X
% 1.78/2.19 , Y ), Z ) ==> composition( X, composition( Y, Z ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := top
% 1.78/2.19 Z := top
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1015) {G21,W9,D4,L1,V1,M1} P(1002,4) { composition(
% 1.78/2.19 composition( X, top ), top ) ==> composition( X, top ) }.
% 1.78/2.19 parent0: (11359) {G1,W9,D4,L1,V1,M1} { composition( composition( X, top )
% 1.78/2.19 , top ) ==> composition( X, top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11363) {G20,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 1.78/2.19 parent0[0]: (525) {G20,W7,D4,L1,V2,M1} P(495,0) { join( meet( X, Y ), X )
% 1.78/2.19 ==> X }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11364) {G21,W9,D4,L1,V1,M1} { composition( top, X ) ==> join( X
% 1.78/2.19 , composition( top, X ) ) }.
% 1.78/2.19 parent0[0]: (1014) {G21,W7,D4,L1,V1,M1} P(1002,14);d(407);d(510);d(407);d(4
% 1.78/2.19 );d(208);d(1002);d(206) { meet( composition( top, X ), X ) ==> X }.
% 1.78/2.19 parent1[0; 5]: (11363) {G20,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X
% 1.78/2.19 ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := composition( top, X )
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11365) {G21,W9,D4,L1,V1,M1} { join( X, composition( top, X ) )
% 1.78/2.19 ==> composition( top, X ) }.
% 1.78/2.19 parent0[0]: (11364) {G21,W9,D4,L1,V1,M1} { composition( top, X ) ==> join
% 1.78/2.19 ( X, composition( top, X ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1023) {G22,W9,D4,L1,V1,M1} P(1014,525) { join( X, composition
% 1.78/2.19 ( top, X ) ) ==> composition( top, X ) }.
% 1.78/2.19 parent0: (11365) {G21,W9,D4,L1,V1,M1} { join( X, composition( top, X ) )
% 1.78/2.19 ==> composition( top, X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11367) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 1.78/2.19 converse( join( converse( X ), Y ) ) }.
% 1.78/2.19 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 1.78/2.19 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11370) {G2,W13,D6,L1,V1,M1} { join( X, converse( composition(
% 1.78/2.19 top, converse( X ) ) ) ) ==> converse( composition( top, converse( X ) )
% 1.78/2.19 ) }.
% 1.78/2.19 parent0[0]: (1023) {G22,W9,D4,L1,V1,M1} P(1014,525) { join( X, composition
% 1.78/2.19 ( top, X ) ) ==> composition( top, X ) }.
% 1.78/2.19 parent1[0; 9]: (11367) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 1.78/2.19 converse( join( converse( X ), Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := converse( X )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := composition( top, converse( X ) )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11372) {G2,W12,D6,L1,V1,M1} { join( X, converse( composition(
% 1.78/2.19 top, converse( X ) ) ) ) ==> composition( X, converse( top ) ) }.
% 1.78/2.19 parent0[0]: (36) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y,
% 1.78/2.19 converse( X ) ) ) ==> composition( X, converse( Y ) ) }.
% 1.78/2.19 parent1[0; 8]: (11370) {G2,W13,D6,L1,V1,M1} { join( X, converse(
% 1.78/2.19 composition( top, converse( X ) ) ) ) ==> converse( composition( top,
% 1.78/2.19 converse( X ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := top
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11373) {G2,W11,D5,L1,V1,M1} { join( X, composition( X, converse
% 1.78/2.19 ( top ) ) ) ==> composition( X, converse( top ) ) }.
% 1.78/2.19 parent0[0]: (36) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y,
% 1.78/2.19 converse( X ) ) ) ==> composition( X, converse( Y ) ) }.
% 1.78/2.19 parent1[0; 3]: (11372) {G2,W12,D6,L1,V1,M1} { join( X, converse(
% 1.78/2.19 composition( top, converse( X ) ) ) ) ==> composition( X, converse( top )
% 1.78/2.19 ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := top
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11377) {G3,W10,D5,L1,V1,M1} { join( X, composition( X, converse
% 1.78/2.19 ( top ) ) ) ==> composition( X, top ) }.
% 1.78/2.19 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 9]: (11373) {G2,W11,D5,L1,V1,M1} { join( X, composition( X,
% 1.78/2.19 converse( top ) ) ) ==> composition( X, converse( top ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11378) {G4,W9,D4,L1,V1,M1} { join( X, composition( X, top ) )
% 1.78/2.19 ==> composition( X, top ) }.
% 1.78/2.19 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 5]: (11377) {G3,W10,D5,L1,V1,M1} { join( X, composition( X,
% 1.78/2.19 converse( top ) ) ) ==> composition( X, top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1107) {G23,W9,D4,L1,V1,M1} P(1023,42);d(36);d(206) { join( X
% 1.78/2.19 , composition( X, top ) ) ==> composition( X, top ) }.
% 1.78/2.19 parent0: (11378) {G4,W9,D4,L1,V1,M1} { join( X, composition( X, top ) )
% 1.78/2.19 ==> composition( X, top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11383) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 1.78/2.19 , X ) }.
% 1.78/2.19 parent0[0]: (398) {G17,W9,D4,L1,V2,M1} P(392,19) { join( join( X, Y ), X )
% 1.78/2.19 ==> join( X, Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11385) {G18,W11,D4,L1,V1,M1} { join( X, composition( X, top ) )
% 1.78/2.19 ==> join( composition( X, top ), X ) }.
% 1.78/2.19 parent0[0]: (1107) {G23,W9,D4,L1,V1,M1} P(1023,42);d(36);d(206) { join( X,
% 1.78/2.19 composition( X, top ) ) ==> composition( X, top ) }.
% 1.78/2.19 parent1[0; 7]: (11383) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 1.78/2.19 ( X, Y ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 Y := composition( X, top )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11386) {G19,W9,D4,L1,V1,M1} { composition( X, top ) ==> join(
% 1.78/2.19 composition( X, top ), X ) }.
% 1.78/2.19 parent0[0]: (1107) {G23,W9,D4,L1,V1,M1} P(1023,42);d(36);d(206) { join( X,
% 1.78/2.19 composition( X, top ) ) ==> composition( X, top ) }.
% 1.78/2.19 parent1[0; 1]: (11385) {G18,W11,D4,L1,V1,M1} { join( X, composition( X,
% 1.78/2.19 top ) ) ==> join( composition( X, top ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11388) {G19,W9,D4,L1,V1,M1} { join( composition( X, top ), X )
% 1.78/2.19 ==> composition( X, top ) }.
% 1.78/2.19 parent0[0]: (11386) {G19,W9,D4,L1,V1,M1} { composition( X, top ) ==> join
% 1.78/2.19 ( composition( X, top ), X ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1133) {G24,W9,D4,L1,V1,M1} P(1107,398) { join( composition( X
% 1.78/2.19 , top ), X ) ==> composition( X, top ) }.
% 1.78/2.19 parent0: (11388) {G19,W9,D4,L1,V1,M1} { join( composition( X, top ), X )
% 1.78/2.19 ==> composition( X, top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11391) {G1,W13,D6,L1,V2,M1} { complement( X ) ==> join(
% 1.78/2.19 complement( X ), composition( converse( Y ), complement( composition( Y,
% 1.78/2.19 X ) ) ) ) }.
% 1.78/2.19 parent0[0]: (88) {G1,W13,D6,L1,V2,M1} P(10,0) { join( complement( Y ),
% 1.78/2.19 composition( converse( X ), complement( composition( X, Y ) ) ) ) ==>
% 1.78/2.19 complement( Y ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := Y
% 1.78/2.19 Y := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11394) {G2,W15,D6,L1,V1,M1} { complement( top ) ==> join(
% 1.78/2.19 complement( top ), composition( converse( composition( X, top ) ),
% 1.78/2.19 complement( composition( X, top ) ) ) ) }.
% 1.78/2.19 parent0[0]: (1015) {G21,W9,D4,L1,V1,M1} P(1002,4) { composition(
% 1.78/2.19 composition( X, top ), top ) ==> composition( X, top ) }.
% 1.78/2.19 parent1[0; 12]: (11391) {G1,W13,D6,L1,V2,M1} { complement( X ) ==> join(
% 1.78/2.19 complement( X ), composition( converse( Y ), complement( composition( Y,
% 1.78/2.19 X ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := top
% 1.78/2.19 Y := composition( X, top )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11396) {G2,W14,D6,L1,V1,M1} { complement( top ) ==> join( zero,
% 1.78/2.19 composition( converse( composition( X, top ) ), complement( composition(
% 1.78/2.19 X, top ) ) ) ) }.
% 1.78/2.19 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 4]: (11394) {G2,W15,D6,L1,V1,M1} { complement( top ) ==> join(
% 1.78/2.19 complement( top ), composition( converse( composition( X, top ) ),
% 1.78/2.19 complement( composition( X, top ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11397) {G2,W13,D6,L1,V1,M1} { zero ==> join( zero, composition(
% 1.78/2.19 converse( composition( X, top ) ), complement( composition( X, top ) ) )
% 1.78/2.19 ) }.
% 1.78/2.19 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 1]: (11396) {G2,W14,D6,L1,V1,M1} { complement( top ) ==> join(
% 1.78/2.19 zero, composition( converse( composition( X, top ) ), complement(
% 1.78/2.19 composition( X, top ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11400) {G3,W11,D5,L1,V1,M1} { zero ==> composition( converse(
% 1.78/2.19 composition( X, top ) ), complement( composition( X, top ) ) ) }.
% 1.78/2.19 parent0[0]: (385) {G15,W5,D3,L1,V1,M1} P(375,337) { join( zero, X ) ==> X
% 1.78/2.19 }.
% 1.78/2.19 parent1[0; 2]: (11397) {G2,W13,D6,L1,V1,M1} { zero ==> join( zero,
% 1.78/2.19 composition( converse( composition( X, top ) ), complement( composition(
% 1.78/2.19 X, top ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := composition( converse( composition( X, top ) ), complement(
% 1.78/2.19 composition( X, top ) ) )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11401) {G3,W11,D5,L1,V1,M1} { composition( converse( composition
% 1.78/2.19 ( X, top ) ), complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.19 parent0[0]: (11400) {G3,W11,D5,L1,V1,M1} { zero ==> composition( converse
% 1.78/2.19 ( composition( X, top ) ), complement( composition( X, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (1223) {G22,W11,D5,L1,V1,M1} P(1015,88);d(58);d(385) {
% 1.78/2.19 composition( converse( composition( X, top ) ), complement( composition(
% 1.78/2.19 X, top ) ) ) ==> zero }.
% 1.78/2.19 parent0: (11401) {G3,W11,D5,L1,V1,M1} { composition( converse( composition
% 1.78/2.19 ( X, top ) ), complement( composition( X, top ) ) ) ==> zero }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11403) {G1,W15,D7,L1,V2,M1} { complement( converse( Y ) ) ==>
% 1.78/2.19 join( composition( X, complement( converse( composition( Y, X ) ) ) ),
% 1.78/2.19 complement( converse( Y ) ) ) }.
% 1.78/2.19 parent0[0]: (85) {G1,W15,D7,L1,V2,M1} P(9,10);d(7) { join( composition( X,
% 1.78/2.19 complement( converse( composition( Y, X ) ) ) ), complement( converse( Y
% 1.78/2.19 ) ) ) ==> complement( converse( Y ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 Y := Y
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11408) {G2,W22,D7,L1,V1,M1} { complement( converse( converse(
% 1.78/2.19 composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), complement( converse( zero ) ) ), complement(
% 1.78/2.19 converse( converse( composition( X, top ) ) ) ) ) }.
% 1.78/2.19 parent0[0]: (1223) {G22,W11,D5,L1,V1,M1} P(1015,88);d(58);d(385) {
% 1.78/2.19 composition( converse( composition( X, top ) ), complement( composition(
% 1.78/2.19 X, top ) ) ) ==> zero }.
% 1.78/2.19 parent1[0; 15]: (11403) {G1,W15,D7,L1,V2,M1} { complement( converse( Y ) )
% 1.78/2.19 ==> join( composition( X, complement( converse( composition( Y, X ) ) )
% 1.78/2.19 ), complement( converse( Y ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := complement( composition( X, top ) )
% 1.78/2.19 Y := converse( composition( X, top ) )
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11409) {G3,W21,D7,L1,V1,M1} { complement( converse( converse(
% 1.78/2.19 composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), complement( zero ) ), complement( converse(
% 1.78/2.19 converse( composition( X, top ) ) ) ) ) }.
% 1.78/2.19 parent0[0]: (400) {G17,W4,D3,L1,V0,M1} P(390,385) { converse( zero ) ==>
% 1.78/2.19 zero }.
% 1.78/2.19 parent1[0; 14]: (11408) {G2,W22,D7,L1,V1,M1} { complement( converse(
% 1.78/2.19 converse( composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), complement( converse( zero ) ) ), complement(
% 1.78/2.19 converse( converse( composition( X, top ) ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11410) {G4,W20,D7,L1,V1,M1} { complement( converse( converse(
% 1.78/2.19 composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), top ), complement( converse( converse(
% 1.78/2.19 composition( X, top ) ) ) ) ) }.
% 1.78/2.19 parent0[0]: (347) {G12,W4,D3,L1,V0,M1} P(344,280) { complement( zero ) ==>
% 1.78/2.19 top }.
% 1.78/2.19 parent1[0; 13]: (11409) {G3,W21,D7,L1,V1,M1} { complement( converse(
% 1.78/2.19 converse( composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), complement( zero ) ), complement( converse(
% 1.78/2.19 converse( composition( X, top ) ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11412) {G1,W18,D6,L1,V1,M1} { complement( converse( converse(
% 1.78/2.19 composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), top ), complement( composition( X, top ) ) ) }.
% 1.78/2.19 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 15]: (11410) {G4,W20,D7,L1,V1,M1} { complement( converse(
% 1.78/2.19 converse( composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), top ), complement( converse( converse(
% 1.78/2.19 composition( X, top ) ) ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := composition( X, top )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11413) {G1,W16,D6,L1,V1,M1} { complement( composition( X, top )
% 1.78/2.19 ) ==> join( composition( complement( composition( X, top ) ), top ),
% 1.78/2.19 complement( composition( X, top ) ) ) }.
% 1.78/2.19 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 1.78/2.19 parent1[0; 2]: (11412) {G1,W18,D6,L1,V1,M1} { complement( converse(
% 1.78/2.19 converse( composition( X, top ) ) ) ) ==> join( composition( complement(
% 1.78/2.19 composition( X, top ) ), top ), complement( composition( X, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := composition( X, top )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 paramod: (11416) {G2,W11,D5,L1,V1,M1} { complement( composition( X, top )
% 1.78/2.19 ) ==> composition( complement( composition( X, top ) ), top ) }.
% 1.78/2.19 parent0[0]: (1133) {G24,W9,D4,L1,V1,M1} P(1107,398) { join( composition( X
% 1.78/2.19 , top ), X ) ==> composition( X, top ) }.
% 1.78/2.19 parent1[0; 5]: (11413) {G1,W16,D6,L1,V1,M1} { complement( composition( X,
% 1.78/2.19 top ) ) ==> join( composition( complement( composition( X, top ) ), top )
% 1.78/2.19 , complement( composition( X, top ) ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := complement( composition( X, top ) )
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11417) {G2,W11,D5,L1,V1,M1} { composition( complement(
% 1.78/2.19 composition( X, top ) ), top ) ==> complement( composition( X, top ) )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (11416) {G2,W11,D5,L1,V1,M1} { complement( composition( X, top
% 1.78/2.19 ) ) ==> composition( complement( composition( X, top ) ), top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (10693) {G25,W11,D5,L1,V1,M1} P(1223,85);d(400);d(347);d(7);d(
% 1.78/2.19 1133) { composition( complement( composition( X, top ) ), top ) ==>
% 1.78/2.19 complement( composition( X, top ) ) }.
% 1.78/2.19 parent0: (11417) {G2,W11,D5,L1,V1,M1} { composition( complement(
% 1.78/2.19 composition( X, top ) ), top ) ==> complement( composition( X, top ) )
% 1.78/2.19 }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 0 ==> 0
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11418) {G25,W11,D5,L1,V1,M1} { complement( composition( X, top )
% 1.78/2.19 ) ==> composition( complement( composition( X, top ) ), top ) }.
% 1.78/2.19 parent0[0]: (10693) {G25,W11,D5,L1,V1,M1} P(1223,85);d(400);d(347);d(7);d(
% 1.78/2.19 1133) { composition( complement( composition( X, top ) ), top ) ==>
% 1.78/2.19 complement( composition( X, top ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 X := X
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 eqswap: (11419) {G0,W11,D5,L1,V0,M1} { ! complement( composition( skol1,
% 1.78/2.19 top ) ) ==> composition( complement( composition( skol1, top ) ), top )
% 1.78/2.19 }.
% 1.78/2.19 parent0[0]: (16) {G0,W11,D5,L1,V0,M1} I { ! composition( complement(
% 1.78/2.19 composition( skol1, top ) ), top ) ==> complement( composition( skol1,
% 1.78/2.19 top ) ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 resolution: (11420) {G1,W0,D0,L0,V0,M0} { }.
% 1.78/2.19 parent0[0]: (11419) {G0,W11,D5,L1,V0,M1} { ! complement( composition(
% 1.78/2.19 skol1, top ) ) ==> composition( complement( composition( skol1, top ) ),
% 1.78/2.19 top ) }.
% 1.78/2.19 parent1[0]: (11418) {G25,W11,D5,L1,V1,M1} { complement( composition( X,
% 1.78/2.19 top ) ) ==> composition( complement( composition( X, top ) ), top ) }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 substitution1:
% 1.78/2.19 X := skol1
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 subsumption: (10695) {G26,W0,D0,L0,V0,M0} R(10693,16) { }.
% 1.78/2.19 parent0: (11420) {G1,W0,D0,L0,V0,M0} { }.
% 1.78/2.19 substitution0:
% 1.78/2.19 end
% 1.78/2.19 permutation0:
% 1.78/2.19 end
% 1.78/2.19
% 1.78/2.19 Proof check complete!
% 1.78/2.19
% 1.78/2.19 Memory use:
% 1.78/2.19
% 1.78/2.19 space for terms: 141077
% 1.78/2.19 space for clauses: 1159716
% 1.78/2.19
% 1.78/2.19
% 1.78/2.19 clauses generated: 262303
% 1.78/2.19 clauses kept: 10696
% 1.78/2.19 clauses selected: 905
% 1.78/2.19 clauses deleted: 457
% 1.78/2.19 clauses inuse deleted: 127
% 1.78/2.19
% 1.78/2.19 subsentry: 12695
% 1.78/2.19 literals s-matched: 10479
% 1.78/2.19 literals matched: 10274
% 1.78/2.19 full subsumption: 0
% 1.78/2.19
% 1.78/2.19 checksum: -836827410
% 1.78/2.19
% 1.78/2.19
% 1.78/2.19 Bliksem ended
%------------------------------------------------------------------------------