TSTP Solution File: REL043+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL043+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 19:01:24 EDT 2022
% Result : Theorem 0.81s 1.36s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : REL043+2 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.15 % Command : bliksem %s
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Fri Jul 8 12:22:00 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.81/1.36 *** allocated 10000 integers for termspace/termends
% 0.81/1.36 *** allocated 10000 integers for clauses
% 0.81/1.36 *** allocated 10000 integers for justifications
% 0.81/1.36 Bliksem 1.12
% 0.81/1.36
% 0.81/1.36
% 0.81/1.36 Automatic Strategy Selection
% 0.81/1.36
% 0.81/1.36
% 0.81/1.36 Clauses:
% 0.81/1.36
% 0.81/1.36 { join( X, Y ) = join( Y, X ) }.
% 0.81/1.36 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.81/1.36 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.81/1.36 complement( join( complement( X ), Y ) ) ) }.
% 0.81/1.36 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.36 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.81/1.36 , Z ) }.
% 0.81/1.36 { composition( X, one ) = X }.
% 0.81/1.36 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.81/1.36 Y, Z ) ) }.
% 0.81/1.36 { converse( converse( X ) ) = X }.
% 0.81/1.36 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.81/1.36 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.81/1.36 ) ) }.
% 0.81/1.36 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.81/1.36 complement( Y ) ) = complement( Y ) }.
% 0.81/1.36 { top = join( X, complement( X ) ) }.
% 0.81/1.36 { zero = meet( X, complement( X ) ) }.
% 0.81/1.36 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.81/1.36 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 0.81/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.36 composition( converse( X ), Z ) ) ) }.
% 0.81/1.36 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 0.81/1.36 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 0.81/1.36 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 0.81/1.36 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.81/1.36 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 0.81/1.36 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 0.81/1.36 { join( composition( skol1, converse( skol2 ) ), skol3 ) = skol3 }.
% 0.81/1.36 { ! join( composition( complement( skol3 ), skol2 ), complement( skol1 ) )
% 0.81/1.36 = complement( skol1 ) }.
% 0.81/1.36
% 0.81/1.36 percentage equality = 1.000000, percentage horn = 1.000000
% 0.81/1.36 This is a pure equality problem
% 0.81/1.36
% 0.81/1.36
% 0.81/1.36
% 0.81/1.36 Options Used:
% 0.81/1.36
% 0.81/1.36 useres = 1
% 0.81/1.36 useparamod = 1
% 0.81/1.36 useeqrefl = 1
% 0.81/1.36 useeqfact = 1
% 0.81/1.36 usefactor = 1
% 0.81/1.36 usesimpsplitting = 0
% 0.81/1.36 usesimpdemod = 5
% 0.81/1.36 usesimpres = 3
% 0.81/1.36
% 0.81/1.36 resimpinuse = 1000
% 0.81/1.36 resimpclauses = 20000
% 0.81/1.36 substype = eqrewr
% 0.81/1.36 backwardsubs = 1
% 0.81/1.36 selectoldest = 5
% 0.81/1.36
% 0.81/1.36 litorderings [0] = split
% 0.81/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.36
% 0.81/1.36 termordering = kbo
% 0.81/1.36
% 0.81/1.36 litapriori = 0
% 0.81/1.36 termapriori = 1
% 0.81/1.36 litaposteriori = 0
% 0.81/1.36 termaposteriori = 0
% 0.81/1.36 demodaposteriori = 0
% 0.81/1.36 ordereqreflfact = 0
% 0.81/1.36
% 0.81/1.36 litselect = negord
% 0.81/1.36
% 0.81/1.36 maxweight = 15
% 0.81/1.36 maxdepth = 30000
% 0.81/1.36 maxlength = 115
% 0.81/1.36 maxnrvars = 195
% 0.81/1.36 excuselevel = 1
% 0.81/1.36 increasemaxweight = 1
% 0.81/1.36
% 0.81/1.36 maxselected = 10000000
% 0.81/1.36 maxnrclauses = 10000000
% 0.81/1.36
% 0.81/1.36 showgenerated = 0
% 0.81/1.36 showkept = 0
% 0.81/1.36 showselected = 0
% 0.81/1.36 showdeleted = 0
% 0.81/1.36 showresimp = 1
% 0.81/1.36 showstatus = 2000
% 0.81/1.36
% 0.81/1.36 prologoutput = 0
% 0.81/1.36 nrgoals = 5000000
% 0.81/1.36 totalproof = 1
% 0.81/1.36
% 0.81/1.36 Symbols occurring in the translation:
% 0.81/1.36
% 0.81/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.36 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.81/1.36 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.81/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.36 join [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.81/1.36 complement [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.81/1.36 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.81/1.36 composition [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.81/1.36 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.81/1.36 converse [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.81/1.36 top [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.81/1.36 zero [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.81/1.36 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.81/1.36 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.81/1.36 skol3 [48, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.81/1.36
% 0.81/1.36
% 0.81/1.36 Starting Search:
% 0.81/1.36
% 0.81/1.36 *** allocated 15000 integers for clauses
% 0.81/1.36 *** allocated 22500 integers for clauses
% 0.81/1.36 *** allocated 33750 integers for clauses
% 0.81/1.36 *** allocated 50625 integers for clauses
% 0.81/1.36 *** allocated 75937 integers for clauses
% 0.81/1.36 *** allocated 113905 integers for clauses
% 0.81/1.36 *** allocated 15000 integers for termspace/termends
% 0.81/1.36 Resimplifying inuse:
% 0.81/1.36 Done
% 0.81/1.36
% 0.81/1.36 *** allocated 170857 integers for clauses
% 0.81/1.36 *** allocated 22500 integers for termspace/termends
% 0.81/1.36 *** allocated 256285 integers for clauses
% 0.81/1.36 *** allocated 33750 integers for termspace/termends
% 0.81/1.36
% 0.81/1.36 Intermediate Status:
% 0.81/1.36 Generated: 21697
% 0.81/1.36 Kept: 2004
% 0.81/1.36 Inuse: 285
% 0.81/1.36 Deleted: 184
% 0.81/1.36 Deletedinuse: 60
% 0.81/1.36
% 0.81/1.36 Resimplifying inuse:
% 0.81/1.36 Done
% 0.81/1.36
% 0.81/1.36 *** allocated 384427 integers for clauses
% 0.81/1.36 *** allocated 50625 integers for termspace/termends
% 0.81/1.36 Resimplifying inuse:
% 0.81/1.36
% 0.81/1.36 Bliksems!, er is een bewijs:
% 0.81/1.36 % SZS status Theorem
% 0.81/1.36 % SZS output start Refutation
% 0.81/1.36
% 0.81/1.36 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.36 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.81/1.36 , Z ) }.
% 0.81/1.36 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.81/1.36 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.36 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.81/1.36 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.36 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 0.81/1.36 composition( composition( X, Y ), Z ) }.
% 0.81/1.36 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.81/1.36 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.81/1.36 ) ==> composition( join( X, Y ), Z ) }.
% 0.81/1.36 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.36 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.81/1.36 converse( join( X, Y ) ) }.
% 0.81/1.36 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.81/1.36 ==> converse( composition( X, Y ) ) }.
% 0.81/1.36 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.81/1.36 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.81/1.36 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.81/1.36 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.81/1.36 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 0.81/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.36 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.81/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.81/1.36 ) ) ) }.
% 0.81/1.36 (16) {G0,W8,D5,L1,V0,M1} I { join( composition( skol1, converse( skol2 ) )
% 0.81/1.36 , skol3 ) ==> skol3 }.
% 0.81/1.36 (17) {G0,W10,D5,L1,V0,M1} I { ! join( composition( complement( skol3 ),
% 0.81/1.36 skol2 ), complement( skol1 ) ) ==> complement( skol1 ) }.
% 0.81/1.36 (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.81/1.36 (19) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) = join( join( Y
% 0.81/1.36 , Z ), X ) }.
% 0.81/1.36 (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.81/1.36 join( Z, X ), Y ) }.
% 0.81/1.36 (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.81/1.36 ==> join( Y, top ) }.
% 0.81/1.36 (23) {G2,W10,D5,L1,V2,M1} P(18,1) { join( join( Y, complement( X ) ), X )
% 0.81/1.36 ==> join( Y, top ) }.
% 0.81/1.36 (31) {G2,W10,D5,L1,V2,M1} P(21,0);d(1) { join( join( complement( Y ), X ),
% 0.81/1.36 Y ) ==> join( X, top ) }.
% 0.81/1.36 (32) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ), complement( Y ) )
% 0.81/1.36 ==> join( X, top ) }.
% 0.81/1.36 (33) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement( complement( X )
% 0.81/1.36 ) ) ==> join( X, top ) }.
% 0.81/1.36 (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.81/1.36 ( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.36 (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.81/1.36 (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.81/1.36 (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero, complement( X )
% 0.81/1.36 ) ) ==> meet( top, X ) }.
% 0.81/1.36 (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( complement( X ), zero
% 0.81/1.36 ) ) ==> meet( X, top ) }.
% 0.81/1.36 (55) {G2,W5,D3,L1,V0,M1} P(49,18) { join( zero, top ) ==> top }.
% 0.81/1.36 (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top ) ==> join( X
% 0.81/1.36 , top ) }.
% 0.81/1.36 (70) {G1,W14,D5,L1,V3,M1} P(8,1) { join( join( Z, converse( X ) ), converse
% 0.81/1.36 ( Y ) ) ==> join( Z, converse( join( X, Y ) ) ) }.
% 0.81/1.36 (71) {G1,W9,D4,L1,V2,M1} P(8,0);d(8) { converse( join( X, Y ) ) = converse
% 0.81/1.36 ( join( Y, X ) ) }.
% 0.81/1.36 (72) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.81/1.36 join( X, converse( Y ) ) }.
% 0.81/1.36 (73) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse( X ) ) ) ==>
% 0.81/1.36 join( converse( Y ), X ) }.
% 0.81/1.36 (82) {G3,W8,D4,L1,V0,M1} P(49,50) { complement( join( zero, zero ) ) ==>
% 0.81/1.36 meet( top, top ) }.
% 0.81/1.36 (95) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y, converse( X )
% 0.81/1.36 ) ) ==> composition( X, converse( Y ) ) }.
% 0.81/1.36 (96) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.81/1.36 ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.36 (100) {G4,W9,D5,L1,V0,M1} P(82,18);d(1) { join( join( meet( top, top ),
% 0.81/1.36 zero ), zero ) ==> top }.
% 0.81/1.36 (103) {G1,W15,D7,L1,V2,M1} P(9,10);d(7) { join( composition( X, complement
% 0.81/1.36 ( converse( composition( Y, X ) ) ) ), complement( converse( Y ) ) ) ==>
% 0.81/1.36 complement( converse( Y ) ) }.
% 0.81/1.36 (127) {G5,W9,D4,L1,V0,M1} P(100,58);d(58) { join( meet( top, top ), top )
% 0.81/1.36 ==> join( top, top ) }.
% 0.81/1.36 (139) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet( composition( X, Y )
% 0.81/1.36 , Z ), top ) ==> top }.
% 0.81/1.36 (143) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition( Y, converse(
% 0.81/1.36 X ) ), Z ), composition( meet( Y, composition( Z, X ) ), meet( converse(
% 0.81/1.36 X ), composition( converse( Y ), Z ) ) ) ) ==> composition( meet( Y,
% 0.81/1.36 composition( Z, X ) ), meet( converse( X ), composition( converse( Y ), Z
% 0.81/1.36 ) ) ) }.
% 0.81/1.36 (152) {G3,W7,D4,L1,V2,M1} P(5,139) { join( meet( X, Y ), top ) ==> top }.
% 0.81/1.36 (153) {G6,W5,D3,L1,V0,M1} P(152,127) { join( top, top ) ==> top }.
% 0.81/1.36 (206) {G2,W6,D4,L1,V1,M1} P(5,96);d(7) { composition( converse( one ), X )
% 0.81/1.36 ==> X }.
% 0.81/1.36 (212) {G3,W4,D3,L1,V0,M1} P(206,5) { converse( one ) ==> one }.
% 0.81/1.36 (240) {G4,W5,D3,L1,V1,M1} P(212,206) { composition( one, X ) ==> X }.
% 0.81/1.36 (243) {G4,W9,D4,L1,V1,M1} P(212,8) { join( converse( X ), one ) ==>
% 0.81/1.36 converse( join( X, one ) ) }.
% 0.81/1.36 (244) {G5,W8,D4,L1,V1,M1} P(240,10);d(206) { join( complement( X ),
% 0.81/1.36 complement( X ) ) ==> complement( X ) }.
% 0.81/1.36 (249) {G6,W6,D4,L1,V1,M1} P(244,32);d(11) { join( complement( X ), top )
% 0.81/1.36 ==> top }.
% 0.81/1.36 (252) {G6,W5,D3,L1,V0,M1} P(49,244) { join( zero, zero ) ==> zero }.
% 0.81/1.36 (256) {G7,W9,D4,L1,V1,M1} P(252,19) { join( join( X, zero ), zero ) ==>
% 0.81/1.36 join( zero, X ) }.
% 0.81/1.36 (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top ) ==> top
% 0.81/1.36 }.
% 0.81/1.36 (295) {G8,W8,D5,L1,V2,M1} S(23);d(269) { join( join( Y, complement( X ) ),
% 0.81/1.36 X ) ==> top }.
% 0.81/1.36 (331) {G8,W9,D5,L1,V1,M1} P(243,21);d(269) { join( converse( join( X, one )
% 0.81/1.36 ), complement( one ) ) ==> top }.
% 0.81/1.36 (333) {G9,W7,D4,L1,V0,M1} P(295,331) { join( converse( top ), complement(
% 0.81/1.36 one ) ) ==> top }.
% 0.81/1.36 (342) {G10,W4,D3,L1,V0,M1} P(333,71);d(73);d(269) { converse( top ) ==> top
% 0.81/1.36 }.
% 0.81/1.36 (344) {G11,W9,D4,L1,V1,M1} P(342,95) { composition( top, converse( X ) )
% 0.81/1.36 ==> converse( composition( X, top ) ) }.
% 0.81/1.36 (367) {G8,W8,D5,L1,V2,M1} S(31);d(269) { join( join( complement( Y ), X ),
% 0.81/1.36 Y ) ==> top }.
% 0.81/1.36 (385) {G8,W7,D4,L1,V1,M1} P(269,34);d(49) { join( meet( X, top ), zero )
% 0.81/1.36 ==> X }.
% 0.81/1.36 (390) {G8,W8,D5,L1,V2,M1} P(34,32);d(269) { join( X, complement( meet( X, Y
% 0.81/1.36 ) ) ) ==> top }.
% 0.81/1.36 (406) {G9,W9,D4,L1,V1,M1} P(385,256) { join( zero, meet( X, top ) ) ==>
% 0.81/1.36 join( X, zero ) }.
% 0.81/1.36 (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero ) ==> X }.
% 0.81/1.36 (415) {G11,W5,D3,L1,V1,M1} P(414,385) { meet( X, top ) ==> X }.
% 0.81/1.36 (418) {G11,W5,D3,L1,V1,M1} P(414,256);d(414) { join( zero, X ) ==> X }.
% 0.81/1.36 (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement( complement( X ) )
% 0.81/1.36 ==> X }.
% 0.81/1.36 (429) {G13,W5,D3,L1,V1,M1} P(419,244) { join( X, X ) ==> X }.
% 0.81/1.36 (432) {G13,W10,D5,L1,V2,M1} P(419,3) { complement( join( complement( Y ), X
% 0.81/1.36 ) ) ==> meet( Y, complement( X ) ) }.
% 0.81/1.36 (433) {G13,W10,D4,L1,V2,M1} P(3,419) { join( complement( X ), complement( Y
% 0.81/1.36 ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.36 (434) {G14,W9,D4,L1,V2,M1} P(429,20);d(1);d(429) { join( join( X, Y ), Y )
% 0.81/1.36 ==> join( X, Y ) }.
% 0.81/1.36 (435) {G14,W9,D4,L1,V2,M1} P(429,20) { join( join( X, Y ), X ) ==> join( X
% 0.81/1.36 , Y ) }.
% 0.81/1.36 (444) {G9,W8,D5,L1,V2,M1} P(47,390) { join( X, complement( meet( Y, X ) ) )
% 0.81/1.36 ==> top }.
% 0.81/1.36 (455) {G10,W8,D5,L1,V2,M1} P(444,3);d(49) { meet( X, meet( Y, complement( X
% 0.81/1.36 ) ) ) ==> zero }.
% 0.81/1.36 (457) {G13,W8,D4,L1,V2,M1} P(419,455) { meet( complement( X ), meet( Y, X )
% 0.81/1.36 ) ==> zero }.
% 0.81/1.36 (460) {G14,W8,D4,L1,V2,M1} P(457,47) { meet( meet( Y, X ), complement( X )
% 0.81/1.36 ) ==> zero }.
% 0.81/1.36 (463) {G15,W8,D4,L1,V2,M1} P(47,460) { meet( meet( Y, X ), complement( Y )
% 0.81/1.36 ) ==> zero }.
% 0.81/1.36 (465) {G16,W9,D4,L1,V2,M1} P(463,34);d(418);d(3) { meet( meet( X, Y ), X )
% 0.81/1.36 ==> meet( X, Y ) }.
% 0.81/1.36 (472) {G17,W9,D4,L1,V2,M1} P(465,47) { meet( X, meet( X, Y ) ) ==> meet( X
% 0.81/1.36 , Y ) }.
% 0.81/1.36 (481) {G18,W9,D4,L1,V2,M1} P(47,472) { meet( X, meet( Y, X ) ) ==> meet( Y
% 0.81/1.36 , X ) }.
% 0.81/1.36 (483) {G15,W8,D5,L1,V2,M1} P(34,434);d(432) { join( X, meet( X, complement
% 0.81/1.36 ( Y ) ) ) ==> X }.
% 0.81/1.36 (486) {G16,W7,D4,L1,V2,M1} P(419,483) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.81/1.36 (496) {G19,W7,D4,L1,V2,M1} P(481,486) { join( X, meet( Y, X ) ) ==> X }.
% 0.81/1.36 (512) {G20,W7,D4,L1,V2,M1} P(496,0) { join( meet( Y, X ), X ) ==> X }.
% 0.81/1.36 (545) {G14,W10,D5,L1,V2,M1} P(419,433) { complement( meet( complement( X )
% 0.81/1.36 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.81/1.36 (553) {G14,W9,D4,L1,V2,M1} P(433,0);d(433) { complement( meet( X, Y ) ) =
% 0.81/1.36 complement( meet( Y, X ) ) }.
% 0.81/1.36 (631) {G9,W10,D5,L1,V2,M1} P(70,367) { join( complement( converse( X ) ),
% 0.81/1.36 converse( join( Y, X ) ) ) ==> top }.
% 0.81/1.37 (644) {G11,W8,D5,L1,V1,M1} P(414,631) { join( complement( converse( zero )
% 0.81/1.37 ), converse( X ) ) ==> top }.
% 0.81/1.37 (645) {G11,W10,D5,L1,V2,M1} P(631,34);d(49);d(414) { meet( converse( X ),
% 0.81/1.37 converse( join( Y, X ) ) ) ==> converse( X ) }.
% 0.81/1.37 (670) {G12,W7,D5,L1,V1,M1} P(7,644) { join( complement( converse( zero ) )
% 0.81/1.37 , X ) ==> top }.
% 0.81/1.37 (675) {G13,W4,D3,L1,V0,M1} P(670,51);d(49);d(415) { converse( zero ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 (697) {G11,W8,D6,L1,V1,M1} P(11,72);d(342) { join( X, converse( complement
% 0.81/1.37 ( converse( X ) ) ) ) ==> top }.
% 0.81/1.37 (701) {G21,W9,D6,L1,V2,M1} P(512,73);d(7) { join( converse( meet( X,
% 0.81/1.37 converse( Y ) ) ), Y ) ==> Y }.
% 0.81/1.37 (745) {G12,W9,D7,L1,V1,M1} P(697,34);d(49);d(414) { meet( X, converse(
% 0.81/1.37 complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.81/1.37 (825) {G22,W12,D6,L1,V1,M1} P(745,701) { join( converse( X ), complement(
% 0.81/1.37 converse( complement( X ) ) ) ) ==> complement( converse( complement( X )
% 0.81/1.37 ) ) }.
% 0.81/1.37 (857) {G12,W7,D4,L1,V2,M1} P(8,645);d(7);d(7) { meet( Y, join( X, Y ) ) ==>
% 0.81/1.37 Y }.
% 0.81/1.37 (863) {G15,W7,D4,L1,V2,M1} P(435,857) { meet( X, join( X, Y ) ) ==> X }.
% 0.81/1.37 (877) {G16,W8,D5,L1,V2,M1} P(863,457) { meet( complement( join( X, Y ) ), X
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 (928) {G17,W9,D5,L1,V0,M1} P(16,877) { meet( complement( skol3 ),
% 0.81/1.37 composition( skol1, converse( skol2 ) ) ) ==> zero }.
% 0.81/1.37 (1000) {G14,W10,D5,L1,V2,M1} S(34);d(432) { join( meet( X, Y ), meet( X,
% 0.81/1.37 complement( Y ) ) ) ==> X }.
% 0.81/1.37 (1019) {G15,W10,D5,L1,V2,M1} P(47,1000) { join( meet( Y, X ), meet( X,
% 0.81/1.37 complement( Y ) ) ) ==> X }.
% 0.81/1.37 (1033) {G16,W10,D5,L1,V2,M1} P(1019,0) { join( meet( Y, complement( X ) ),
% 0.81/1.37 meet( X, Y ) ) ==> Y }.
% 0.81/1.37 (1160) {G15,W9,D7,L1,V1,M1} P(745,545);d(419) { join( X, complement(
% 0.81/1.37 converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.81/1.37 (1207) {G23,W7,D5,L1,V1,M1} P(7,1160);d(825) { complement( converse(
% 0.81/1.37 complement( X ) ) ) ==> converse( X ) }.
% 0.81/1.37 (1228) {G24,W7,D4,L1,V1,M1} P(1207,419) { converse( complement( X ) ) ==>
% 0.81/1.37 complement( converse( X ) ) }.
% 0.81/1.37 (1248) {G25,W12,D6,L1,V2,M1} P(1228,96) { converse( composition( complement
% 0.81/1.37 ( converse( X ) ), Y ) ) ==> composition( converse( Y ), complement( X )
% 0.81/1.37 ) }.
% 0.81/1.37 (1252) {G25,W12,D5,L1,V2,M1} P(1228,9) { composition( converse( Y ),
% 0.81/1.37 complement( converse( X ) ) ) ==> converse( composition( complement( X )
% 0.81/1.37 , Y ) ) }.
% 0.81/1.37 (1254) {G25,W12,D5,L1,V2,M1} P(1228,8) { join( converse( Y ), complement(
% 0.81/1.37 converse( X ) ) ) ==> converse( join( Y, complement( X ) ) ) }.
% 0.81/1.37 (1421) {G26,W9,D5,L1,V1,M1} P(344,103);d(1252);d(1254);d(49);d(414);d(1248)
% 0.81/1.37 ;d(342);d(49) { composition( converse( X ), complement( composition( X,
% 0.81/1.37 top ) ) ) ==> zero }.
% 0.81/1.37 (1436) {G27,W8,D5,L1,V0,M1} P(342,1421) { composition( top, complement(
% 0.81/1.37 composition( top, top ) ) ) ==> zero }.
% 0.81/1.37 (1443) {G28,W8,D5,L1,V1,M1} P(1436,6);d(414);d(269);d(1436) { composition(
% 0.81/1.37 X, complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.37 (1444) {G29,W5,D3,L1,V1,M1} P(1436,4);d(1443) { composition( X, zero ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 (1447) {G30,W5,D3,L1,V1,M1} P(1444,96);d(675) { composition( zero, X ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 (2945) {G31,W8,D5,L1,V0,M1} P(928,143);d(7);d(1447);d(414) { meet(
% 0.81/1.37 composition( complement( skol3 ), skol2 ), skol1 ) ==> zero }.
% 0.81/1.37 (2954) {G32,W9,D6,L1,V0,M1} P(2945,1033);d(414) { meet( skol1, complement(
% 0.81/1.37 composition( complement( skol3 ), skol2 ) ) ) ==> skol1 }.
% 0.81/1.37 (2984) {G33,W10,D5,L1,V0,M1} P(2954,553);d(545) { join( composition(
% 0.81/1.37 complement( skol3 ), skol2 ), complement( skol1 ) ) ==> complement( skol1
% 0.81/1.37 ) }.
% 0.81/1.37 (3010) {G34,W0,D0,L0,V0,M0} S(17);d(2984);q { }.
% 0.81/1.37
% 0.81/1.37
% 0.81/1.37 % SZS output end Refutation
% 0.81/1.37 found a proof!
% 0.81/1.37
% 0.81/1.37
% 0.81/1.37 Unprocessed initial clauses:
% 0.81/1.37
% 0.81/1.37 (3012) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 (3013) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.81/1.37 , Z ) }.
% 0.81/1.37 (3014) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.81/1.37 (3015) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 0.81/1.37 ( X ), complement( Y ) ) ) }.
% 0.81/1.37 (3016) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.81/1.37 composition( composition( X, Y ), Z ) }.
% 0.81/1.37 (3017) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.81/1.37 (3018) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.81/1.37 composition( X, Z ), composition( Y, Z ) ) }.
% 0.81/1.37 (3019) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.81/1.37 (3020) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.81/1.37 ), converse( Y ) ) }.
% 0.81/1.37 (3021) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.81/1.37 composition( converse( Y ), converse( X ) ) }.
% 0.81/1.37 (3022) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.81/1.37 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.81/1.37 (3023) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.81/1.37 (3024) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.81/1.37 (3025) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 0.81/1.37 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.81/1.37 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.81/1.37 (3026) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.81/1.37 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 0.81/1.37 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.81/1.37 }.
% 0.81/1.37 (3027) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.81/1.37 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 0.81/1.37 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.81/1.37 }.
% 0.81/1.37 (3028) {G0,W8,D5,L1,V0,M1} { join( composition( skol1, converse( skol2 ) )
% 0.81/1.37 , skol3 ) = skol3 }.
% 0.81/1.37 (3029) {G0,W10,D5,L1,V0,M1} { ! join( composition( complement( skol3 ),
% 0.81/1.37 skol2 ), complement( skol1 ) ) = complement( skol1 ) }.
% 0.81/1.37
% 0.81/1.37
% 0.81/1.37 Total Proof:
% 0.81/1.37
% 0.81/1.37 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent0: (3012) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.81/1.37 ( join( X, Y ), Z ) }.
% 0.81/1.37 parent0: (3013) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3032) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.81/1.37 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (3014) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.81/1.37 Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.81/1.37 Y ) ) ) ==> X }.
% 0.81/1.37 parent0: (3032) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.81/1.37 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 0.81/1.37 X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3035) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.81/1.37 complement( Y ) ) ) = meet( X, Y ) }.
% 0.81/1.37 parent0[0]: (3015) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 0.81/1.37 ( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 parent0: (3035) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.81/1.37 complement( Y ) ) ) = meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.81/1.37 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.81/1.37 parent0: (3016) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z )
% 0.81/1.37 ) = composition( composition( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.81/1.37 parent0: (3017) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3050) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.81/1.37 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.81/1.37 parent0[0]: (3018) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.81/1.37 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.81/1.37 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.81/1.37 parent0: (3050) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.81/1.37 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 parent0: (3019) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3065) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.81/1.37 = converse( join( X, Y ) ) }.
% 0.81/1.37 parent0[0]: (3020) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 0.81/1.37 ( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.81/1.37 ) ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 parent0: (3065) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 0.81/1.37 ) = converse( join( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3074) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.81/1.37 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.81/1.37 parent0[0]: (3021) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 0.81/1.37 = composition( converse( Y ), converse( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.81/1.37 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.81/1.37 parent0: (3074) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 0.81/1.37 converse( X ) ) = converse( composition( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.81/1.37 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent0: (3022) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.81/1.37 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3095) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.81/1.37 parent0[0]: (3023) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.81/1.37 top }.
% 0.81/1.37 parent0: (3095) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3107) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.81/1.37 parent0[0]: (3024) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent0: (3107) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.81/1.37 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.81/1.37 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.81/1.37 ) ) ) }.
% 0.81/1.37 parent0: (3025) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.81/1.37 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.81/1.37 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (16) {G0,W8,D5,L1,V0,M1} I { join( composition( skol1,
% 0.81/1.37 converse( skol2 ) ), skol3 ) ==> skol3 }.
% 0.81/1.37 parent0: (3028) {G0,W8,D5,L1,V0,M1} { join( composition( skol1, converse(
% 0.81/1.37 skol2 ) ), skol3 ) = skol3 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (17) {G0,W10,D5,L1,V0,M1} I { ! join( composition( complement
% 0.81/1.37 ( skol3 ), skol2 ), complement( skol1 ) ) ==> complement( skol1 ) }.
% 0.81/1.37 parent0: (3029) {G0,W10,D5,L1,V0,M1} { ! join( composition( complement(
% 0.81/1.37 skol3 ), skol2 ), complement( skol1 ) ) = complement( skol1 ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3154) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3155) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 2]: (3154) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.81/1.37 ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3158) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (3155) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 0.81/1.37 ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.81/1.37 ==> top }.
% 0.81/1.37 parent0: (3158) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3159) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Y, Z ) ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3162) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.81/1.37 join( Y, Z ), X ) }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 6]: (3159) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := join( Y, Z )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (19) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.81/1.37 join( join( Y, Z ), X ) }.
% 0.81/1.37 parent0: (3162) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.81/1.37 join( Y, Z ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3176) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Y, Z ) ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3181) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Z, Y ) ) }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 8]: (3176) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := Z
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3194) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.81/1.37 join( X, Z ), Y ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 parent1[0; 6]: (3181) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Z, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Z
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.81/1.37 ) = join( join( Z, X ), Y ) }.
% 0.81/1.37 parent0: (3194) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.81/1.37 join( X, Z ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Z
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3196) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Y, Z ) ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3199) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 9]: (3196) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := complement( Y )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.81/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.81/1.37 parent0: (3199) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3204) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Y, Z ) ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3209) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.81/1.37 ==> top }.
% 0.81/1.37 parent1[0; 9]: (3204) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := complement( Y )
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (23) {G2,W10,D5,L1,V2,M1} P(18,1) { join( join( Y, complement
% 0.81/1.37 ( X ) ), X ) ==> join( Y, top ) }.
% 0.81/1.37 parent0: (3209) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3213) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.81/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3216) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( complement
% 0.81/1.37 ( Y ), join( X, Y ) ) }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 4]: (3213) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := join( X, Y )
% 0.81/1.37 Y := complement( Y )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3229) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.81/1.37 complement( Y ), X ), Y ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 parent1[0; 4]: (3216) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 0.81/1.37 complement( Y ), join( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( Y )
% 0.81/1.37 Y := X
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3230) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 parent0[0]: (3229) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.81/1.37 complement( Y ), X ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (31) {G2,W10,D5,L1,V2,M1} P(21,0);d(1) { join( join(
% 0.81/1.37 complement( Y ), X ), Y ) ==> join( X, top ) }.
% 0.81/1.37 parent0: (3230) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3231) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.81/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3234) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.81/1.37 ), complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 5]: (3231) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3247) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 parent0[0]: (3234) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.81/1.37 , X ), complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (32) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.81/1.37 complement( Y ) ) ==> join( X, top ) }.
% 0.81/1.37 parent0: (3247) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3249) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.81/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3250) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.81/1.37 complement( complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 5]: (3249) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := complement( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3251) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.81/1.37 ) ) ) ==> join( X, top ) }.
% 0.81/1.37 parent0[0]: (3250) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.81/1.37 complement( complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (33) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.81/1.37 complement( X ) ) ) ==> join( X, top ) }.
% 0.81/1.37 parent0: (3251) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.81/1.37 ) ) ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3254) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.81/1.37 join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.81/1.37 Y ) ) ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.37 parent0: (3254) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.81/1.37 join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3256) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3258) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( Y ), complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 5]: (3256) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 Y := complement( Y )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3260) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 parent1[0; 4]: (3258) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( Y ), complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.81/1.37 , Y ) }.
% 0.81/1.37 parent0: (3260) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3262) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3265) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.81/1.37 complement( top ) }.
% 0.81/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 6]: (3262) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := complement( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3266) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.81/1.37 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 1]: (3265) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.81/1.37 complement( top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3267) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.81/1.37 parent0[0]: (3266) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent0: (3267) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3269) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3270) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 0.81/1.37 ( zero, complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 6]: (3269) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := top
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3272) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.81/1.37 ) ) ) ==> meet( top, X ) }.
% 0.81/1.37 parent0[0]: (3270) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.81/1.37 join( zero, complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero,
% 0.81/1.37 complement( X ) ) ) ==> meet( top, X ) }.
% 0.81/1.37 parent0: (3272) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 0.81/1.37 X ) ) ) ==> meet( top, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3275) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3277) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 0.81/1.37 ( complement( X ), zero ) ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 8]: (3275) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3279) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.81/1.37 zero ) ) ==> meet( X, top ) }.
% 0.81/1.37 parent0[0]: (3277) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.81/1.37 join( complement( X ), zero ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join(
% 0.81/1.37 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.81/1.37 parent0: (3279) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.81/1.37 zero ) ) ==> meet( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3281) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.81/1.37 ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3282) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 3]: (3281) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.81/1.37 , X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3283) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.81/1.37 parent0[0]: (3282) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (55) {G2,W5,D3,L1,V0,M1} P(49,18) { join( zero, top ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent0: (3283) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3285) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Y, Z ) ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3287) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.81/1.37 join( X, top ) }.
% 0.81/1.37 parent0[0]: (55) {G2,W5,D3,L1,V0,M1} P(49,18) { join( zero, top ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 8]: (3285) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := zero
% 0.81/1.37 Z := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top
% 0.81/1.37 ) ==> join( X, top ) }.
% 0.81/1.37 parent0: (3287) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.81/1.37 join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3291) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.81/1.37 , join( Y, Z ) ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3295) {G1,W14,D5,L1,V3,M1} { join( join( X, converse( Y ) ),
% 0.81/1.37 converse( Z ) ) ==> join( X, converse( join( Y, Z ) ) ) }.
% 0.81/1.37 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.37 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 parent1[0; 10]: (3291) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.81/1.37 join( X, join( Y, Z ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := Z
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := converse( Y )
% 0.81/1.37 Z := converse( Z )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (70) {G1,W14,D5,L1,V3,M1} P(8,1) { join( join( Z, converse( X
% 0.81/1.37 ) ), converse( Y ) ) ==> join( Z, converse( join( X, Y ) ) ) }.
% 0.81/1.37 parent0: (3295) {G1,W14,D5,L1,V3,M1} { join( join( X, converse( Y ) ),
% 0.81/1.37 converse( Z ) ) ==> join( X, converse( join( Y, Z ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Z
% 0.81/1.37 Y := X
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3298) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.81/1.37 converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.37 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3300) {G1,W10,D4,L1,V2,M1} { converse( join( Y, X ) ) ==> join(
% 0.81/1.37 converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 2]: (3298) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.37 join( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3302) {G1,W9,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.37 converse( join( Y, X ) ) }.
% 0.81/1.37 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.37 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 parent1[0; 5]: (3300) {G1,W10,D4,L1,V2,M1} { converse( join( Y, X ) ) ==>
% 0.81/1.37 join( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (71) {G1,W9,D4,L1,V2,M1} P(8,0);d(8) { converse( join( X, Y )
% 0.81/1.37 ) = converse( join( Y, X ) ) }.
% 0.81/1.37 parent0: (3302) {G1,W9,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.37 converse( join( Y, X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3304) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.81/1.37 converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.37 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3305) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.81/1.37 ) ==> join( X, converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 7]: (3304) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.37 join( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := converse( X )
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (72) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.81/1.37 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.81/1.37 parent0: (3305) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.81/1.37 ) ==> join( X, converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3310) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.81/1.37 converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.37 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3312) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 0.81/1.37 ) ==> join( converse( X ), Y ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 9]: (3310) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.37 join( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := converse( Y )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (73) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 0.81/1.37 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 0.81/1.37 parent0: (3312) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 0.81/1.37 ) ==> join( converse( X ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3316) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.81/1.37 zero, complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero,
% 0.81/1.37 complement( X ) ) ) ==> meet( top, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3317) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement(
% 0.81/1.37 join( zero, zero ) ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 7]: (3316) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.81/1.37 ( join( zero, complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3318) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 0.81/1.37 meet( top, top ) }.
% 0.81/1.37 parent0[0]: (3317) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement(
% 0.81/1.37 join( zero, zero ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (82) {G3,W8,D4,L1,V0,M1} P(49,50) { complement( join( zero,
% 0.81/1.37 zero ) ) ==> meet( top, top ) }.
% 0.81/1.37 parent0: (3318) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 0.81/1.37 meet( top, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3320) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.81/1.37 composition( converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.81/1.37 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3321) {G1,W10,D5,L1,V2,M1} { converse( composition( X, converse
% 0.81/1.37 ( Y ) ) ) ==> composition( Y, converse( X ) ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 7]: (3320) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.81/1.37 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := converse( Y )
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (95) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y,
% 0.81/1.37 converse( X ) ) ) ==> composition( X, converse( Y ) ) }.
% 0.81/1.37 parent0: (3321) {G1,W10,D5,L1,V2,M1} { converse( composition( X, converse
% 0.81/1.37 ( Y ) ) ) ==> composition( Y, converse( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3326) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.81/1.37 composition( converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.81/1.37 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3328) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.81/1.37 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 9]: (3326) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.81/1.37 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := converse( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (96) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.81/1.37 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.37 parent0: (3328) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.81/1.37 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3332) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.81/1.37 ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3334) {G2,W9,D4,L1,V0,M1} { top ==> join( meet( top, top ), join
% 0.81/1.37 ( zero, zero ) ) }.
% 0.81/1.37 parent0[0]: (82) {G3,W8,D4,L1,V0,M1} P(49,50) { complement( join( zero,
% 0.81/1.37 zero ) ) ==> meet( top, top ) }.
% 0.81/1.37 parent1[0; 3]: (3332) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.81/1.37 , X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := join( zero, zero )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3335) {G1,W9,D5,L1,V0,M1} { top ==> join( join( meet( top, top )
% 0.81/1.37 , zero ), zero ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 parent1[0; 2]: (3334) {G2,W9,D4,L1,V0,M1} { top ==> join( meet( top, top )
% 0.81/1.37 , join( zero, zero ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := meet( top, top )
% 0.81/1.37 Y := zero
% 0.81/1.37 Z := zero
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3336) {G1,W9,D5,L1,V0,M1} { join( join( meet( top, top ), zero )
% 0.81/1.37 , zero ) ==> top }.
% 0.81/1.37 parent0[0]: (3335) {G1,W9,D5,L1,V0,M1} { top ==> join( join( meet( top,
% 0.81/1.37 top ), zero ), zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (100) {G4,W9,D5,L1,V0,M1} P(82,18);d(1) { join( join( meet(
% 0.81/1.37 top, top ), zero ), zero ) ==> top }.
% 0.81/1.37 parent0: (3336) {G1,W9,D5,L1,V0,M1} { join( join( meet( top, top ), zero )
% 0.81/1.37 , zero ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3338) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.81/1.37 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.81/1.37 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.81/1.37 Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3340) {G1,W17,D7,L1,V2,M1} { complement( converse( X ) ) ==>
% 0.81/1.37 join( composition( converse( converse( Y ) ), complement( converse(
% 0.81/1.37 composition( X, Y ) ) ) ), complement( converse( X ) ) ) }.
% 0.81/1.37 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.81/1.37 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.81/1.37 parent1[0; 10]: (3338) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.81/1.37 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := converse( Y )
% 0.81/1.37 Y := converse( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3341) {G1,W15,D7,L1,V2,M1} { complement( converse( X ) ) ==>
% 0.81/1.37 join( composition( Y, complement( converse( composition( X, Y ) ) ) ),
% 0.81/1.37 complement( converse( X ) ) ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 6]: (3340) {G1,W17,D7,L1,V2,M1} { complement( converse( X ) )
% 0.81/1.37 ==> join( composition( converse( converse( Y ) ), complement( converse(
% 0.81/1.37 composition( X, Y ) ) ) ), complement( converse( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3342) {G1,W15,D7,L1,V2,M1} { join( composition( Y, complement(
% 0.81/1.37 converse( composition( X, Y ) ) ) ), complement( converse( X ) ) ) ==>
% 0.81/1.37 complement( converse( X ) ) }.
% 0.81/1.37 parent0[0]: (3341) {G1,W15,D7,L1,V2,M1} { complement( converse( X ) ) ==>
% 0.81/1.37 join( composition( Y, complement( converse( composition( X, Y ) ) ) ),
% 0.81/1.37 complement( converse( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (103) {G1,W15,D7,L1,V2,M1} P(9,10);d(7) { join( composition( X
% 0.81/1.37 , complement( converse( composition( Y, X ) ) ) ), complement( converse(
% 0.81/1.37 Y ) ) ) ==> complement( converse( Y ) ) }.
% 0.81/1.37 parent0: (3342) {G1,W15,D7,L1,V2,M1} { join( composition( Y, complement(
% 0.81/1.37 converse( composition( X, Y ) ) ) ), complement( converse( X ) ) ) ==>
% 0.81/1.37 complement( converse( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3344) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X,
% 0.81/1.37 zero ), top ) }.
% 0.81/1.37 parent0[0]: (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top )
% 0.81/1.37 ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3346) {G4,W11,D5,L1,V0,M1} { join( join( meet( top, top ), zero
% 0.81/1.37 ), top ) ==> join( top, top ) }.
% 0.81/1.37 parent0[0]: (100) {G4,W9,D5,L1,V0,M1} P(82,18);d(1) { join( join( meet( top
% 0.81/1.37 , top ), zero ), zero ) ==> top }.
% 0.81/1.37 parent1[0; 9]: (3344) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join
% 0.81/1.37 ( X, zero ), top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := join( meet( top, top ), zero )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3347) {G4,W9,D4,L1,V0,M1} { join( meet( top, top ), top ) ==>
% 0.81/1.37 join( top, top ) }.
% 0.81/1.37 parent0[0]: (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top )
% 0.81/1.37 ==> join( X, top ) }.
% 0.81/1.37 parent1[0; 1]: (3346) {G4,W11,D5,L1,V0,M1} { join( join( meet( top, top )
% 0.81/1.37 , zero ), top ) ==> join( top, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := meet( top, top )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (127) {G5,W9,D4,L1,V0,M1} P(100,58);d(58) { join( meet( top,
% 0.81/1.37 top ), top ) ==> join( top, top ) }.
% 0.81/1.37 parent0: (3347) {G4,W9,D4,L1,V0,M1} { join( meet( top, top ), top ) ==>
% 0.81/1.37 join( top, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3350) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.81/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3352) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.81/1.37 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 0.81/1.37 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 0.81/1.37 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.81/1.37 converse( X ), Z ) ) ) ) ) }.
% 0.81/1.37 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.81/1.37 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.81/1.37 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.81/1.37 ) ) ) }.
% 0.81/1.37 parent1[0; 9]: (3350) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := meet( composition( X, Y ), Z )
% 0.81/1.37 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3353) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.81/1.37 , top ) ==> top }.
% 0.81/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 8]: (3352) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y
% 0.81/1.37 ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse(
% 0.81/1.37 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 0.81/1.37 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (139) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet(
% 0.81/1.37 composition( X, Y ), Z ), top ) ==> top }.
% 0.81/1.37 parent0: (3353) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.81/1.37 , top ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3356) {G0,W33,D7,L1,V3,M1} { composition( meet( X, composition( Z
% 0.81/1.37 , converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ==>
% 0.81/1.37 join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.81/1.37 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) }.
% 0.81/1.37 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.81/1.37 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.81/1.37 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.81/1.37 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.81/1.37 ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3358) {G1,W36,D7,L1,V3,M1} { composition( meet( X, composition(
% 0.81/1.37 Y, converse( converse( Z ) ) ) ), meet( converse( Z ), composition(
% 0.81/1.37 converse( X ), Y ) ) ) ==> join( meet( composition( X, converse( Z ) ), Y
% 0.81/1.37 ), composition( meet( X, composition( Y, Z ) ), meet( converse( Z ),
% 0.81/1.37 composition( converse( X ), Y ) ) ) ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 28]: (3356) {G0,W33,D7,L1,V3,M1} { composition( meet( X,
% 0.81/1.37 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.81/1.37 ) ) ) ==> join( meet( composition( X, Y ), Z ), composition( meet( X,
% 0.81/1.37 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.81/1.37 ) ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Z
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := converse( Z )
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3362) {G1,W34,D7,L1,V3,M1} { composition( meet( X, composition(
% 0.81/1.37 Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y ) ) ) ==>
% 0.81/1.37 join( meet( composition( X, converse( Z ) ), Y ), composition( meet( X,
% 0.81/1.37 composition( Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y
% 0.81/1.37 ) ) ) ) }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 6]: (3358) {G1,W36,D7,L1,V3,M1} { composition( meet( X,
% 0.81/1.37 composition( Y, converse( converse( Z ) ) ) ), meet( converse( Z ),
% 0.81/1.37 composition( converse( X ), Y ) ) ) ==> join( meet( composition( X,
% 0.81/1.37 converse( Z ) ), Y ), composition( meet( X, composition( Y, Z ) ), meet(
% 0.81/1.37 converse( Z ), composition( converse( X ), Y ) ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Z
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3364) {G1,W34,D7,L1,V3,M1} { join( meet( composition( X, converse
% 0.81/1.37 ( Z ) ), Y ), composition( meet( X, composition( Y, Z ) ), meet( converse
% 0.81/1.37 ( Z ), composition( converse( X ), Y ) ) ) ) ==> composition( meet( X,
% 0.81/1.37 composition( Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y
% 0.81/1.37 ) ) ) }.
% 0.81/1.37 parent0[0]: (3362) {G1,W34,D7,L1,V3,M1} { composition( meet( X,
% 0.81/1.37 composition( Y, Z ) ), meet( converse( Z ), composition( converse( X ), Y
% 0.81/1.37 ) ) ) ==> join( meet( composition( X, converse( Z ) ), Y ), composition
% 0.81/1.37 ( meet( X, composition( Y, Z ) ), meet( converse( Z ), composition(
% 0.81/1.37 converse( X ), Y ) ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (143) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition(
% 0.81/1.37 Y, converse( X ) ), Z ), composition( meet( Y, composition( Z, X ) ),
% 0.81/1.37 meet( converse( X ), composition( converse( Y ), Z ) ) ) ) ==>
% 0.81/1.37 composition( meet( Y, composition( Z, X ) ), meet( converse( X ),
% 0.81/1.37 composition( converse( Y ), Z ) ) ) }.
% 0.81/1.37 parent0: (3364) {G1,W34,D7,L1,V3,M1} { join( meet( composition( X,
% 0.81/1.37 converse( Z ) ), Y ), composition( meet( X, composition( Y, Z ) ), meet(
% 0.81/1.37 converse( Z ), composition( converse( X ), Y ) ) ) ) ==> composition(
% 0.81/1.37 meet( X, composition( Y, Z ) ), meet( converse( Z ), composition(
% 0.81/1.37 converse( X ), Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := Z
% 0.81/1.37 Z := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3370) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X, Y
% 0.81/1.37 ), Z ), top ) }.
% 0.81/1.37 parent0[0]: (139) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet(
% 0.81/1.37 composition( X, Y ), Z ), top ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3371) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.81/1.37 parent1[0; 4]: (3370) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 0.81/1.37 composition( X, Y ), Z ), top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := one
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3372) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.81/1.37 parent0[0]: (3371) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (152) {G3,W7,D4,L1,V2,M1} P(5,139) { join( meet( X, Y ), top )
% 0.81/1.37 ==> top }.
% 0.81/1.37 parent0: (3372) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3373) {G3,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top ) }.
% 0.81/1.37 parent0[0]: (152) {G3,W7,D4,L1,V2,M1} P(5,139) { join( meet( X, Y ), top )
% 0.81/1.37 ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3375) {G4,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.81/1.37 parent0[0]: (127) {G5,W9,D4,L1,V0,M1} P(100,58);d(58) { join( meet( top,
% 0.81/1.37 top ), top ) ==> join( top, top ) }.
% 0.81/1.37 parent1[0; 2]: (3373) {G3,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ),
% 0.81/1.37 top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := top
% 0.81/1.37 Y := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3376) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.81/1.37 parent0[0]: (3375) {G4,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (153) {G6,W5,D3,L1,V0,M1} P(152,127) { join( top, top ) ==>
% 0.81/1.37 top }.
% 0.81/1.37 parent0: (3376) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3378) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.81/1.37 converse( composition( converse( X ), Y ) ) }.
% 0.81/1.37 parent0[0]: (96) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.81/1.37 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3381) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.81/1.37 ==> converse( converse( X ) ) }.
% 0.81/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.81/1.37 parent1[0; 6]: (3378) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.81/1.37 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := converse( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := one
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3382) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 5]: (3381) {G1,W8,D4,L1,V1,M1} { composition( converse( one ),
% 0.81/1.37 X ) ==> converse( converse( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (206) {G2,W6,D4,L1,V1,M1} P(5,96);d(7) { composition( converse
% 0.81/1.37 ( one ), X ) ==> X }.
% 0.81/1.37 parent0: (3382) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.81/1.37 ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3384) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.81/1.37 ) }.
% 0.81/1.37 parent0[0]: (206) {G2,W6,D4,L1,V1,M1} P(5,96);d(7) { composition( converse
% 0.81/1.37 ( one ), X ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3386) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.81/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.81/1.37 parent1[0; 2]: (3384) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.81/1.37 one ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := converse( one )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := one
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3387) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.81/1.37 parent0[0]: (3386) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (212) {G3,W4,D3,L1,V0,M1} P(206,5) { converse( one ) ==> one
% 0.81/1.37 }.
% 0.81/1.37 parent0: (3387) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3389) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.81/1.37 ) }.
% 0.81/1.37 parent0[0]: (206) {G2,W6,D4,L1,V1,M1} P(5,96);d(7) { composition( converse
% 0.81/1.37 ( one ), X ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3390) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.81/1.37 parent0[0]: (212) {G3,W4,D3,L1,V0,M1} P(206,5) { converse( one ) ==> one
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 3]: (3389) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.81/1.37 one ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3391) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.81/1.37 parent0[0]: (3390) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (240) {G4,W5,D3,L1,V1,M1} P(212,206) { composition( one, X )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent0: (3391) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3393) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.81/1.37 converse( X ), converse( Y ) ) }.
% 0.81/1.37 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.37 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3395) {G1,W9,D4,L1,V1,M1} { converse( join( X, one ) ) ==> join
% 0.81/1.37 ( converse( X ), one ) }.
% 0.81/1.37 parent0[0]: (212) {G3,W4,D3,L1,V0,M1} P(206,5) { converse( one ) ==> one
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 8]: (3393) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.37 join( converse( X ), converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := one
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3397) {G1,W9,D4,L1,V1,M1} { join( converse( X ), one ) ==>
% 0.81/1.37 converse( join( X, one ) ) }.
% 0.81/1.37 parent0[0]: (3395) {G1,W9,D4,L1,V1,M1} { converse( join( X, one ) ) ==>
% 0.81/1.37 join( converse( X ), one ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (243) {G4,W9,D4,L1,V1,M1} P(212,8) { join( converse( X ), one
% 0.81/1.37 ) ==> converse( join( X, one ) ) }.
% 0.81/1.37 parent0: (3397) {G1,W9,D4,L1,V1,M1} { join( converse( X ), one ) ==>
% 0.81/1.37 converse( join( X, one ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3399) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.81/1.37 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.81/1.37 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.81/1.37 Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3401) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.81/1.37 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (240) {G4,W5,D3,L1,V1,M1} P(212,206) { composition( one, X )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent1[0; 8]: (3399) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.81/1.37 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := one
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3402) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.81/1.37 ( X ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (206) {G2,W6,D4,L1,V1,M1} P(5,96);d(7) { composition( converse
% 0.81/1.37 ( one ), X ) ==> X }.
% 0.81/1.37 parent1[0; 4]: (3401) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.81/1.37 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3403) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.81/1.37 ) ) ==> complement( X ) }.
% 0.81/1.37 parent0[0]: (3402) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.81/1.37 complement( X ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (244) {G5,W8,D4,L1,V1,M1} P(240,10);d(206) { join( complement
% 0.81/1.37 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.81/1.37 parent0: (3403) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.81/1.37 ) ) ==> complement( X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3405) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (32) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.81/1.37 complement( Y ) ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3407) {G3,W11,D5,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.81/1.37 join( complement( X ), complement( complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (244) {G5,W8,D4,L1,V1,M1} P(240,10);d(206) { join( complement(
% 0.81/1.37 X ), complement( X ) ) ==> complement( X ) }.
% 0.81/1.37 parent1[0; 6]: (3405) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 Y := complement( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3408) {G1,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 5]: (3407) {G3,W11,D5,L1,V1,M1} { join( complement( X ), top )
% 0.81/1.37 ==> join( complement( X ), complement( complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (249) {G6,W6,D4,L1,V1,M1} P(244,32);d(11) { join( complement(
% 0.81/1.37 X ), top ) ==> top }.
% 0.81/1.37 parent0: (3408) {G1,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3411) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.81/1.37 ( X ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (244) {G5,W8,D4,L1,V1,M1} P(240,10);d(206) { join( complement(
% 0.81/1.37 X ), complement( X ) ) ==> complement( X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3414) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.81/1.37 complement( top ), zero ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 6]: (3411) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.81/1.37 complement( X ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3416) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join( zero,
% 0.81/1.37 zero ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 4]: (3414) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.81/1.37 complement( top ), zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3417) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 1]: (3416) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join(
% 0.81/1.37 zero, zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3423) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.81/1.37 parent0[0]: (3417) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (252) {G6,W5,D3,L1,V0,M1} P(49,244) { join( zero, zero ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent0: (3423) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3427) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join( join
% 0.81/1.37 ( X, Y ), Z ) }.
% 0.81/1.37 parent0[0]: (19) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.81/1.37 join( join( Y, Z ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := Z
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3428) {G2,W9,D4,L1,V1,M1} { join( zero, X ) = join( join( X,
% 0.81/1.37 zero ), zero ) }.
% 0.81/1.37 parent0[0]: (252) {G6,W5,D3,L1,V0,M1} P(49,244) { join( zero, zero ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 2]: (3427) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) =
% 0.81/1.37 join( join( X, Y ), Z ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := zero
% 0.81/1.37 Z := zero
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3430) {G2,W9,D4,L1,V1,M1} { join( join( X, zero ), zero ) = join
% 0.81/1.37 ( zero, X ) }.
% 0.81/1.37 parent0[0]: (3428) {G2,W9,D4,L1,V1,M1} { join( zero, X ) = join( join( X,
% 0.81/1.37 zero ), zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (256) {G7,W9,D4,L1,V1,M1} P(252,19) { join( join( X, zero ),
% 0.81/1.37 zero ) ==> join( zero, X ) }.
% 0.81/1.37 parent0: (3430) {G2,W9,D4,L1,V1,M1} { join( join( X, zero ), zero ) = join
% 0.81/1.37 ( zero, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3433) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (32) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.81/1.37 complement( Y ) ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3437) {G3,W9,D5,L1,V1,M1} { join( top, top ) ==> join( top,
% 0.81/1.37 complement( complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (249) {G6,W6,D4,L1,V1,M1} P(244,32);d(11) { join( complement( X
% 0.81/1.37 ), top ) ==> top }.
% 0.81/1.37 parent1[0; 5]: (3433) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 Y := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3438) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (33) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.81/1.37 complement( X ) ) ) ==> join( X, top ) }.
% 0.81/1.37 parent1[0; 4]: (3437) {G3,W9,D5,L1,V1,M1} { join( top, top ) ==> join( top
% 0.81/1.37 , complement( complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3439) {G4,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.81/1.37 parent0[0]: (153) {G6,W5,D3,L1,V0,M1} P(152,127) { join( top, top ) ==> top
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 1]: (3438) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.81/1.37 top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3440) {G4,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.81/1.37 parent0[0]: (3439) {G4,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X,
% 0.81/1.37 top ) ==> top }.
% 0.81/1.37 parent0: (3440) {G4,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3443) {G3,W8,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent1[0; 7]: (23) {G2,W10,D5,L1,V2,M1} P(18,1) { join( join( Y,
% 0.81/1.37 complement( X ) ), X ) ==> join( Y, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (295) {G8,W8,D5,L1,V2,M1} S(23);d(269) { join( join( Y,
% 0.81/1.37 complement( X ) ), X ) ==> top }.
% 0.81/1.37 parent0: (3443) {G3,W8,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3446) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.81/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3448) {G2,W12,D5,L1,V1,M1} { join( converse( X ), top ) ==> join
% 0.81/1.37 ( converse( join( X, one ) ), complement( one ) ) }.
% 0.81/1.37 parent0[0]: (243) {G4,W9,D4,L1,V1,M1} P(212,8) { join( converse( X ), one )
% 0.81/1.37 ==> converse( join( X, one ) ) }.
% 0.81/1.37 parent1[0; 6]: (3446) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := converse( X )
% 0.81/1.37 Y := one
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3449) {G3,W9,D5,L1,V1,M1} { top ==> join( converse( join( X, one
% 0.81/1.37 ) ), complement( one ) ) }.
% 0.81/1.37 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent1[0; 1]: (3448) {G2,W12,D5,L1,V1,M1} { join( converse( X ), top )
% 0.81/1.37 ==> join( converse( join( X, one ) ), complement( one ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := converse( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3450) {G3,W9,D5,L1,V1,M1} { join( converse( join( X, one ) ),
% 0.81/1.37 complement( one ) ) ==> top }.
% 0.81/1.37 parent0[0]: (3449) {G3,W9,D5,L1,V1,M1} { top ==> join( converse( join( X,
% 0.81/1.37 one ) ), complement( one ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (331) {G8,W9,D5,L1,V1,M1} P(243,21);d(269) { join( converse(
% 0.81/1.37 join( X, one ) ), complement( one ) ) ==> top }.
% 0.81/1.37 parent0: (3450) {G3,W9,D5,L1,V1,M1} { join( converse( join( X, one ) ),
% 0.81/1.37 complement( one ) ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3452) {G8,W9,D5,L1,V1,M1} { top ==> join( converse( join( X, one
% 0.81/1.37 ) ), complement( one ) ) }.
% 0.81/1.37 parent0[0]: (331) {G8,W9,D5,L1,V1,M1} P(243,21);d(269) { join( converse(
% 0.81/1.37 join( X, one ) ), complement( one ) ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3455) {G9,W7,D4,L1,V0,M1} { top ==> join( converse( top ),
% 0.81/1.37 complement( one ) ) }.
% 0.81/1.37 parent0[0]: (295) {G8,W8,D5,L1,V2,M1} S(23);d(269) { join( join( Y,
% 0.81/1.37 complement( X ) ), X ) ==> top }.
% 0.81/1.37 parent1[0; 4]: (3452) {G8,W9,D5,L1,V1,M1} { top ==> join( converse( join(
% 0.81/1.37 X, one ) ), complement( one ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := one
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := join( X, complement( one ) )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3456) {G9,W7,D4,L1,V0,M1} { join( converse( top ), complement(
% 0.81/1.37 one ) ) ==> top }.
% 0.81/1.37 parent0[0]: (3455) {G9,W7,D4,L1,V0,M1} { top ==> join( converse( top ),
% 0.81/1.37 complement( one ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (333) {G9,W7,D4,L1,V0,M1} P(295,331) { join( converse( top ),
% 0.81/1.37 complement( one ) ) ==> top }.
% 0.81/1.37 parent0: (3456) {G9,W7,D4,L1,V0,M1} { join( converse( top ), complement(
% 0.81/1.37 one ) ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3461) {G2,W9,D5,L1,V0,M1} { converse( join( complement( one ),
% 0.81/1.37 converse( top ) ) ) = converse( top ) }.
% 0.81/1.37 parent0[0]: (333) {G9,W7,D4,L1,V0,M1} P(295,331) { join( converse( top ),
% 0.81/1.37 complement( one ) ) ==> top }.
% 0.81/1.37 parent1[0; 8]: (71) {G1,W9,D4,L1,V2,M1} P(8,0);d(8) { converse( join( X, Y
% 0.81/1.37 ) ) = converse( join( Y, X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := complement( one )
% 0.81/1.37 Y := converse( top )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3462) {G2,W8,D5,L1,V0,M1} { join( converse( complement( one ) )
% 0.81/1.37 , top ) = converse( top ) }.
% 0.81/1.37 parent0[0]: (73) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 0.81/1.37 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 0.81/1.37 parent1[0; 1]: (3461) {G2,W9,D5,L1,V0,M1} { converse( join( complement(
% 0.81/1.37 one ), converse( top ) ) ) = converse( top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := top
% 0.81/1.37 Y := complement( one )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3463) {G3,W4,D3,L1,V0,M1} { top = converse( top ) }.
% 0.81/1.37 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent1[0; 1]: (3462) {G2,W8,D5,L1,V0,M1} { join( converse( complement(
% 0.81/1.37 one ) ), top ) = converse( top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := converse( complement( one ) )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3464) {G3,W4,D3,L1,V0,M1} { converse( top ) = top }.
% 0.81/1.37 parent0[0]: (3463) {G3,W4,D3,L1,V0,M1} { top = converse( top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (342) {G10,W4,D3,L1,V0,M1} P(333,71);d(73);d(269) { converse(
% 0.81/1.37 top ) ==> top }.
% 0.81/1.37 parent0: (3464) {G3,W4,D3,L1,V0,M1} { converse( top ) = top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3466) {G1,W10,D5,L1,V2,M1} { composition( Y, converse( X ) ) ==>
% 0.81/1.37 converse( composition( X, converse( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (95) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( Y,
% 0.81/1.37 converse( X ) ) ) ==> composition( X, converse( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3468) {G2,W9,D4,L1,V1,M1} { composition( top, converse( X ) )
% 0.81/1.37 ==> converse( composition( X, top ) ) }.
% 0.81/1.37 parent0[0]: (342) {G10,W4,D3,L1,V0,M1} P(333,71);d(73);d(269) { converse(
% 0.81/1.37 top ) ==> top }.
% 0.81/1.37 parent1[0; 8]: (3466) {G1,W10,D5,L1,V2,M1} { composition( Y, converse( X )
% 0.81/1.37 ) ==> converse( composition( X, converse( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (344) {G11,W9,D4,L1,V1,M1} P(342,95) { composition( top,
% 0.81/1.37 converse( X ) ) ==> converse( composition( X, top ) ) }.
% 0.81/1.37 parent0: (3468) {G2,W9,D4,L1,V1,M1} { composition( top, converse( X ) )
% 0.81/1.37 ==> converse( composition( X, top ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3473) {G3,W8,D5,L1,V2,M1} { join( join( complement( X ), Y ), X
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent1[0; 7]: (31) {G2,W10,D5,L1,V2,M1} P(21,0);d(1) { join( join(
% 0.81/1.37 complement( Y ), X ), Y ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (367) {G8,W8,D5,L1,V2,M1} S(31);d(269) { join( join(
% 0.81/1.37 complement( Y ), X ), Y ) ==> top }.
% 0.81/1.37 parent0: (3473) {G3,W8,D5,L1,V2,M1} { join( join( complement( X ), Y ), X
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3476) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.81/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.81/1.37 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3478) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.81/1.37 complement( top ) ) }.
% 0.81/1.37 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent1[0; 7]: (3476) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.81/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := top
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3479) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 6]: (3478) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.81/1.37 complement( top ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3480) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (3479) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.81/1.37 ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (385) {G8,W7,D4,L1,V1,M1} P(269,34);d(49) { join( meet( X, top
% 0.81/1.37 ), zero ) ==> X }.
% 0.81/1.37 parent0: (3480) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3482) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.81/1.37 ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (32) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.81/1.37 complement( Y ) ) ==> join( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3484) {G2,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.81/1.37 ( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) ) }.
% 0.81/1.37 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.37 parent1[0; 9]: (3482) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.81/1.37 ( X, Y ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := meet( X, Y )
% 0.81/1.37 Y := complement( join( complement( X ), Y ) )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3485) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet( X
% 0.81/1.37 , Y ) ) ) }.
% 0.81/1.37 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 parent1[0; 1]: (3484) {G2,W14,D6,L1,V2,M1} { join( complement( join(
% 0.81/1.37 complement( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) )
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( join( complement( X ), Y ) )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3486) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) ) )
% 0.81/1.37 ==> top }.
% 0.81/1.37 parent0[0]: (3485) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet
% 0.81/1.37 ( X, Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (390) {G8,W8,D5,L1,V2,M1} P(34,32);d(269) { join( X,
% 0.81/1.37 complement( meet( X, Y ) ) ) ==> top }.
% 0.81/1.37 parent0: (3486) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3488) {G7,W9,D4,L1,V1,M1} { join( zero, X ) ==> join( join( X,
% 0.81/1.37 zero ), zero ) }.
% 0.81/1.37 parent0[0]: (256) {G7,W9,D4,L1,V1,M1} P(252,19) { join( join( X, zero ),
% 0.81/1.37 zero ) ==> join( zero, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3489) {G8,W9,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==>
% 0.81/1.37 join( X, zero ) }.
% 0.81/1.37 parent0[0]: (385) {G8,W7,D4,L1,V1,M1} P(269,34);d(49) { join( meet( X, top
% 0.81/1.37 ), zero ) ==> X }.
% 0.81/1.37 parent1[0; 7]: (3488) {G7,W9,D4,L1,V1,M1} { join( zero, X ) ==> join( join
% 0.81/1.37 ( X, zero ), zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := meet( X, top )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (406) {G9,W9,D4,L1,V1,M1} P(385,256) { join( zero, meet( X,
% 0.81/1.37 top ) ) ==> join( X, zero ) }.
% 0.81/1.37 parent0: (3489) {G8,W9,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==>
% 0.81/1.37 join( X, zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3491) {G8,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (385) {G8,W7,D4,L1,V1,M1} P(269,34);d(49) { join( meet( X, top
% 0.81/1.37 ), zero ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3493) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.37 parent1[0; 2]: (3491) {G8,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.81/1.37 zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := meet( X, top )
% 0.81/1.37 Y := zero
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3495) {G2,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.81/1.37 parent0[0]: (406) {G9,W9,D4,L1,V1,M1} P(385,256) { join( zero, meet( X, top
% 0.81/1.37 ) ) ==> join( X, zero ) }.
% 0.81/1.37 parent1[0; 2]: (3493) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top
% 0.81/1.37 ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3496) {G2,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.81/1.37 parent0[0]: (3495) {G2,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent0: (3496) {G2,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3497) {G10,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.81/1.37 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.37 ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3499) {G9,W5,D3,L1,V1,M1} { meet( X, top ) ==> X }.
% 0.81/1.37 parent0[0]: (385) {G8,W7,D4,L1,V1,M1} P(269,34);d(49) { join( meet( X, top
% 0.81/1.37 ), zero ) ==> X }.
% 0.81/1.37 parent1[0; 4]: (3497) {G10,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := meet( X, top )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (415) {G11,W5,D3,L1,V1,M1} P(414,385) { meet( X, top ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 parent0: (3499) {G9,W5,D3,L1,V1,M1} { meet( X, top ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3501) {G10,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.81/1.37 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.37 ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3504) {G8,W7,D3,L1,V1,M1} { join( X, zero ) ==> join( zero, X )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (256) {G7,W9,D4,L1,V1,M1} P(252,19) { join( join( X, zero ),
% 0.81/1.37 zero ) ==> join( zero, X ) }.
% 0.81/1.37 parent1[0; 4]: (3501) {G10,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := join( X, zero )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3505) {G9,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 0.81/1.37 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent1[0; 1]: (3504) {G8,W7,D3,L1,V1,M1} { join( X, zero ) ==> join( zero
% 0.81/1.37 , X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3506) {G9,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 0.81/1.37 parent0[0]: (3505) {G9,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (418) {G11,W5,D3,L1,V1,M1} P(414,256);d(414) { join( zero, X )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent0: (3506) {G9,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3508) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.81/1.37 complement( X ), zero ) ) }.
% 0.81/1.37 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( complement
% 0.81/1.37 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3510) {G3,W7,D4,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.81/1.37 complement( X ) ) }.
% 0.81/1.37 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent1[0; 5]: (3508) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.81/1.37 ( join( complement( X ), zero ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3511) {G4,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (415) {G11,W5,D3,L1,V1,M1} P(414,385) { meet( X, top ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 parent1[0; 1]: (3510) {G3,W7,D4,L1,V1,M1} { meet( X, top ) ==> complement
% 0.81/1.37 ( complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3512) {G4,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (3511) {G4,W5,D4,L1,V1,M1} { X ==> complement( complement( X )
% 0.81/1.37 ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 parent0: (3512) {G4,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.81/1.37 }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3514) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.81/1.37 ( X ), complement( X ) ) }.
% 0.81/1.37 parent0[0]: (244) {G5,W8,D4,L1,V1,M1} P(240,10);d(206) { join( complement(
% 0.81/1.37 X ), complement( X ) ) ==> complement( X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3517) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.81/1.37 join( complement( complement( X ) ), X ) }.
% 0.81/1.37 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 8]: (3514) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.81/1.37 complement( X ), complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3519) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.81/1.37 join( X, X ) }.
% 0.81/1.37 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 5]: (3517) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.81/1.37 ==> join( complement( complement( X ) ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3520) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.81/1.37 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 1]: (3519) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.81/1.37 ==> join( X, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3526) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.81/1.37 parent0[0]: (3520) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (429) {G13,W5,D3,L1,V1,M1} P(419,244) { join( X, X ) ==> X }.
% 0.81/1.37 parent0: (3526) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3530) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3534) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.81/1.37 complement( join( complement( X ), Y ) ) }.
% 0.81/1.37 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 9]: (3530) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := complement( Y )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3536) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.81/1.37 ) ) ==> meet( X, complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (3534) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.81/1.37 complement( join( complement( X ), Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (432) {G13,W10,D5,L1,V2,M1} P(419,3) { complement( join(
% 0.81/1.37 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.81/1.37 parent0: (3536) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.81/1.37 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3538) {G12,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.81/1.37 }.
% 0.81/1.37 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3543) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.81/1.37 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 parent1[0; 7]: (3538) {G12,W5,D4,L1,V1,M1} { X ==> complement( complement
% 0.81/1.37 ( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := join( complement( X ), complement( Y ) )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (433) {G13,W10,D4,L1,V2,M1} P(3,419) { join( complement( X ),
% 0.81/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.37 parent0: (3543) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.81/1.37 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3545) {G13,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.81/1.37 parent0[0]: (429) {G13,W5,D3,L1,V1,M1} P(419,244) { join( X, X ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3548) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 0.81/1.37 join( X, Y ) ), Y ) }.
% 0.81/1.37 parent0[0]: (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.81/1.37 = join( join( Z, X ), Y ) }.
% 0.81/1.37 parent1[0; 4]: (3545) {G13,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := join( X, Y )
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := join( X, Y )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3550) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join(
% 0.81/1.37 X, X ), Y ), Y ) }.
% 0.81/1.37 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.81/1.37 join( X, Y ), Z ) }.
% 0.81/1.37 parent1[0; 5]: (3548) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.81/1.37 X, join( X, Y ) ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := X
% 0.81/1.37 Z := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3551) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.81/1.37 , Y ) }.
% 0.81/1.37 parent0[0]: (429) {G13,W5,D3,L1,V1,M1} P(419,244) { join( X, X ) ==> X }.
% 0.81/1.37 parent1[0; 6]: (3550) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.81/1.37 join( X, X ), Y ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3552) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent0[0]: (3551) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.81/1.37 ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (434) {G14,W9,D4,L1,V2,M1} P(429,20);d(1);d(429) { join( join
% 0.81/1.37 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.81/1.37 parent0: (3552) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 0.81/1.37 , Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3561) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X, Y
% 0.81/1.37 ) }.
% 0.81/1.37 parent0[0]: (429) {G13,W5,D3,L1,V1,M1} P(419,244) { join( X, X ) ==> X }.
% 0.81/1.37 parent1[0; 7]: (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 0.81/1.37 X ) = join( join( Z, X ), Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 Z := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (435) {G14,W9,D4,L1,V2,M1} P(429,20) { join( join( X, Y ), X )
% 0.81/1.37 ==> join( X, Y ) }.
% 0.81/1.37 parent0: (3561) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X, Y
% 0.81/1.37 ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3562) {G8,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet( X
% 0.81/1.37 , Y ) ) ) }.
% 0.81/1.37 parent0[0]: (390) {G8,W8,D5,L1,V2,M1} P(34,32);d(269) { join( X, complement
% 0.81/1.37 ( meet( X, Y ) ) ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3563) {G2,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet( Y
% 0.81/1.37 , X ) ) ) }.
% 0.81/1.37 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent1[0; 5]: (3562) {G8,W8,D5,L1,V2,M1} { top ==> join( X, complement(
% 0.81/1.37 meet( X, Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3566) {G2,W8,D5,L1,V2,M1} { join( X, complement( meet( Y, X ) ) )
% 0.81/1.37 ==> top }.
% 0.81/1.37 parent0[0]: (3563) {G2,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet
% 0.81/1.37 ( Y, X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (444) {G9,W8,D5,L1,V2,M1} P(47,390) { join( X, complement(
% 0.81/1.37 meet( Y, X ) ) ) ==> top }.
% 0.81/1.37 parent0: (3566) {G2,W8,D5,L1,V2,M1} { join( X, complement( meet( Y, X ) )
% 0.81/1.37 ) ==> top }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3568) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3570) {G1,W9,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 0.81/1.37 ) ==> complement( top ) }.
% 0.81/1.37 parent0[0]: (444) {G9,W8,D5,L1,V2,M1} P(47,390) { join( X, complement( meet
% 0.81/1.37 ( Y, X ) ) ) ==> top }.
% 0.81/1.37 parent1[0; 8]: (3568) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := meet( Y, complement( X ) )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3571) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.37 zero }.
% 0.81/1.37 parent1[0; 7]: (3570) {G1,W9,D5,L1,V2,M1} { meet( X, meet( Y, complement(
% 0.81/1.37 X ) ) ) ==> complement( top ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (455) {G10,W8,D5,L1,V2,M1} P(444,3);d(49) { meet( X, meet( Y,
% 0.81/1.37 complement( X ) ) ) ==> zero }.
% 0.81/1.37 parent0: (3571) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3574) {G10,W8,D5,L1,V2,M1} { zero ==> meet( X, meet( Y,
% 0.81/1.37 complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (455) {G10,W8,D5,L1,V2,M1} P(444,3);d(49) { meet( X, meet( Y,
% 0.81/1.37 complement( X ) ) ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3575) {G11,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 0.81/1.37 meet( Y, X ) ) }.
% 0.81/1.37 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.37 complement( X ) ) ==> X }.
% 0.81/1.37 parent1[0; 7]: (3574) {G10,W8,D5,L1,V2,M1} { zero ==> meet( X, meet( Y,
% 0.81/1.37 complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := complement( X )
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3576) {G11,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X )
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 parent0[0]: (3575) {G11,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 0.81/1.37 meet( Y, X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (457) {G13,W8,D4,L1,V2,M1} P(419,455) { meet( complement( X )
% 0.81/1.37 , meet( Y, X ) ) ==> zero }.
% 0.81/1.37 parent0: (3576) {G11,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X )
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3577) {G13,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ), meet
% 0.81/1.37 ( Y, X ) ) }.
% 0.81/1.37 parent0[0]: (457) {G13,W8,D4,L1,V2,M1} P(419,455) { meet( complement( X ),
% 0.81/1.37 meet( Y, X ) ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3578) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 0.81/1.37 complement( X ) ) }.
% 0.81/1.37 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent1[0; 2]: (3577) {G13,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 0.81/1.37 ), meet( Y, X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := meet( Y, X )
% 0.81/1.37 Y := complement( X )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3582) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y ) )
% 0.81/1.37 ==> zero }.
% 0.81/1.37 parent0[0]: (3578) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 0.81/1.37 complement( X ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (460) {G14,W8,D4,L1,V2,M1} P(457,47) { meet( meet( Y, X ),
% 0.81/1.37 complement( X ) ) ==> zero }.
% 0.81/1.37 parent0: (3582) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y )
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3586) {G14,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (460) {G14,W8,D4,L1,V2,M1} P(457,47) { meet( meet( Y, X ),
% 0.81/1.37 complement( X ) ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3588) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent1[0; 3]: (3586) {G14,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3594) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( X ) )
% 0.81/1.37 ==> zero }.
% 0.81/1.37 parent0[0]: (3588) {G2,W8,D4,L1,V2,M1} { zero ==> meet( meet( Y, X ),
% 0.81/1.37 complement( Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (463) {G15,W8,D4,L1,V2,M1} P(47,460) { meet( meet( Y, X ),
% 0.81/1.37 complement( Y ) ) ==> zero }.
% 0.81/1.37 parent0: (3594) {G2,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( X )
% 0.81/1.37 ) ==> zero }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3596) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.81/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.81/1.37 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3599) {G2,W14,D7,L1,V2,M1} { meet( X, Y ) ==> join( zero,
% 0.81/1.37 complement( join( complement( meet( X, Y ) ), complement( X ) ) ) ) }.
% 0.81/1.37 parent0[0]: (463) {G15,W8,D4,L1,V2,M1} P(47,460) { meet( meet( Y, X ),
% 0.81/1.37 complement( Y ) ) ==> zero }.
% 0.81/1.37 parent1[0; 5]: (3596) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.81/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := Y
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := meet( X, Y )
% 0.81/1.37 Y := complement( X )
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3600) {G3,W12,D6,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.81/1.37 complement( meet( X, Y ) ), complement( X ) ) ) }.
% 0.81/1.37 parent0[0]: (418) {G11,W5,D3,L1,V1,M1} P(414,256);d(414) { join( zero, X )
% 0.81/1.37 ==> X }.
% 0.81/1.37 parent1[0; 4]: (3599) {G2,W14,D7,L1,V2,M1} { meet( X, Y ) ==> join( zero,
% 0.81/1.37 complement( join( complement( meet( X, Y ) ), complement( X ) ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := complement( join( complement( meet( X, Y ) ), complement( X ) ) )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3601) {G1,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.81/1.37 , X ) }.
% 0.81/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.81/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.81/1.37 parent1[0; 4]: (3600) {G3,W12,D6,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.81/1.37 join( complement( meet( X, Y ) ), complement( X ) ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := meet( X, Y )
% 0.81/1.37 Y := X
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3602) {G1,W9,D4,L1,V2,M1} { meet( meet( X, Y ), X ) ==> meet( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent0[0]: (3601) {G1,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y
% 0.81/1.37 ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (465) {G16,W9,D4,L1,V2,M1} P(463,34);d(418);d(3) { meet( meet
% 0.81/1.37 ( X, Y ), X ) ==> meet( X, Y ) }.
% 0.81/1.37 parent0: (3602) {G1,W9,D4,L1,V2,M1} { meet( meet( X, Y ), X ) ==> meet( X
% 0.81/1.37 , Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37 permutation0:
% 0.81/1.37 0 ==> 0
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3603) {G16,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.81/1.37 , X ) }.
% 0.81/1.37 parent0[0]: (465) {G16,W9,D4,L1,V2,M1} P(463,34);d(418);d(3) { meet( meet(
% 0.81/1.37 X, Y ), X ) ==> meet( X, Y ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 paramod: (3606) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X, meet( X, Y
% 0.81/1.37 ) ) }.
% 0.81/1.37 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent1[0; 4]: (3603) {G16,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet(
% 0.81/1.37 X, Y ), X ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := meet( X, Y )
% 0.81/1.37 end
% 0.81/1.37 substitution1:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 eqswap: (3619) {G2,W9,D4,L1,V2,M1} { meet( X, meet( X, Y ) ) ==> meet( X,
% 0.81/1.37 Y ) }.
% 0.81/1.37 parent0[0]: (3606) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X, meet( X
% 0.81/1.37 , Y ) ) }.
% 0.81/1.37 substitution0:
% 0.81/1.37 X := X
% 0.81/1.37 Y := Y
% 0.81/1.37 end
% 0.81/1.37
% 0.81/1.37 subsumption: (472) {G17,W9,D4,L1,V2,M1} P(465,47) { meet( X, meet( X, Y ) )
% 0.81/1.37 ==> meet( X, Y ) }.
% 0.81/1.37 parent0: (3619) {G2,W9,D4,L1,V2,M1} { meet( X, meet( X, Y ) ) ==> meet( X
% 0.81/1.37 , Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3620) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X, meet( X, Y
% 0.81/1.38 ) ) }.
% 0.81/1.38 parent0[0]: (472) {G17,W9,D4,L1,V2,M1} P(465,47) { meet( X, meet( X, Y ) )
% 0.81/1.38 ==> meet( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3623) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.81/1.38 , X ) }.
% 0.81/1.38 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.38 Y ) }.
% 0.81/1.38 parent1[0; 4]: (3620) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( X,
% 0.81/1.38 meet( X, Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( X, Y )
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3625) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( Y, X )
% 0.81/1.38 , X ) }.
% 0.81/1.38 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.38 Y ) }.
% 0.81/1.38 parent1[0; 5]: (3623) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X
% 0.81/1.38 , Y ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3627) {G2,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( meet( Y, X )
% 0.81/1.38 , X ) }.
% 0.81/1.38 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.38 Y ) }.
% 0.81/1.38 parent1[0; 1]: (3625) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( Y
% 0.81/1.38 , X ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3628) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X, Y
% 0.81/1.38 ) ) }.
% 0.81/1.38 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.38 Y ) }.
% 0.81/1.38 parent1[0; 4]: (3627) {G2,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( meet( Y
% 0.81/1.38 , X ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := meet( X, Y )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3632) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X,
% 0.81/1.38 Y ) }.
% 0.81/1.38 parent0[0]: (3628) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X
% 0.81/1.38 , Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (481) {G18,W9,D4,L1,V2,M1} P(47,472) { meet( X, meet( Y, X ) )
% 0.81/1.38 ==> meet( Y, X ) }.
% 0.81/1.38 parent0: (3632) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 0.81/1.38 , Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3638) {G14,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.81/1.38 , Y ) }.
% 0.81/1.38 parent0[0]: (434) {G14,W9,D4,L1,V2,M1} P(429,20);d(1);d(429) { join( join(
% 0.81/1.38 X, Y ), Y ) ==> join( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3641) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.81/1.38 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.81/1.38 ( X ), Y ) ) ) }.
% 0.81/1.38 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.38 parent1[0; 11]: (3638) {G14,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 0.81/1.38 ( X, Y ), Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := meet( X, Y )
% 0.81/1.38 Y := complement( join( complement( X ), Y ) )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3642) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.81/1.38 complement( X ), Y ) ) ) }.
% 0.81/1.38 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.38 parent1[0; 1]: (3641) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.81/1.38 ( complement( X ), Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3649) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.81/1.38 Y ) ) ) }.
% 0.81/1.38 parent0[0]: (432) {G13,W10,D5,L1,V2,M1} P(419,3) { complement( join(
% 0.81/1.38 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.81/1.38 parent1[0; 4]: (3642) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.81/1.38 join( complement( X ), Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3650) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent0[0]: (3649) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.81/1.38 complement( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (483) {G15,W8,D5,L1,V2,M1} P(34,434);d(432) { join( X, meet( X
% 0.81/1.38 , complement( Y ) ) ) ==> X }.
% 0.81/1.38 parent0: (3650) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.81/1.38 ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3652) {G15,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.81/1.38 Y ) ) ) }.
% 0.81/1.38 parent0[0]: (483) {G15,W8,D5,L1,V2,M1} P(34,434);d(432) { join( X, meet( X
% 0.81/1.38 , complement( Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3653) {G13,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.81/1.38 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.38 complement( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 6]: (3652) {G15,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.81/1.38 complement( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := complement( Y )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3654) {G13,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3653) {G13,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (486) {G16,W7,D4,L1,V2,M1} P(419,483) { join( Y, meet( Y, X )
% 0.81/1.38 ) ==> Y }.
% 0.81/1.38 parent0: (3654) {G13,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3656) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.81/1.38 parent0[0]: (486) {G16,W7,D4,L1,V2,M1} P(419,483) { join( Y, meet( Y, X ) )
% 0.81/1.38 ==> Y }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3657) {G17,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (481) {G18,W9,D4,L1,V2,M1} P(47,472) { meet( X, meet( Y, X ) )
% 0.81/1.38 ==> meet( Y, X ) }.
% 0.81/1.38 parent1[0; 4]: (3656) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := meet( Y, X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3658) {G17,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3657) {G17,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (496) {G19,W7,D4,L1,V2,M1} P(481,486) { join( X, meet( Y, X )
% 0.81/1.38 ) ==> X }.
% 0.81/1.38 parent0: (3658) {G17,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3659) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (496) {G19,W7,D4,L1,V2,M1} P(481,486) { join( X, meet( Y, X ) )
% 0.81/1.38 ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3660) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 0.81/1.38 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.38 parent1[0; 2]: (3659) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := meet( Y, X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3663) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 0.81/1.38 parent0[0]: (3660) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (512) {G20,W7,D4,L1,V2,M1} P(496,0) { join( meet( Y, X ), X )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent0: (3663) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3665) {G13,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.81/1.38 ( complement( X ), complement( Y ) ) }.
% 0.81/1.38 parent0[0]: (433) {G13,W10,D4,L1,V2,M1} P(3,419) { join( complement( X ),
% 0.81/1.38 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3666) {G13,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.81/1.38 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.81/1.38 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.38 complement( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 7]: (3665) {G13,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.81/1.38 ==> join( complement( X ), complement( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := complement( X )
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (545) {G14,W10,D5,L1,V2,M1} P(419,433) { complement( meet(
% 0.81/1.38 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.81/1.38 parent0: (3666) {G13,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.81/1.38 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3670) {G13,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.81/1.38 ( complement( X ), complement( Y ) ) }.
% 0.81/1.38 parent0[0]: (433) {G13,W10,D4,L1,V2,M1} P(3,419) { join( complement( X ),
% 0.81/1.38 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3672) {G1,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.81/1.38 ( complement( Y ), complement( X ) ) }.
% 0.81/1.38 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.38 parent1[0; 5]: (3670) {G13,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.81/1.38 ==> join( complement( X ), complement( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := complement( X )
% 0.81/1.38 Y := complement( Y )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3674) {G2,W9,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 0.81/1.38 complement( meet( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (433) {G13,W10,D4,L1,V2,M1} P(3,419) { join( complement( X ),
% 0.81/1.38 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.81/1.38 parent1[0; 5]: (3672) {G1,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.81/1.38 ==> join( complement( Y ), complement( X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (553) {G14,W9,D4,L1,V2,M1} P(433,0);d(433) { complement( meet
% 0.81/1.38 ( X, Y ) ) = complement( meet( Y, X ) ) }.
% 0.81/1.38 parent0: (3674) {G2,W9,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 0.81/1.38 complement( meet( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3675) {G1,W14,D5,L1,V3,M1} { join( X, converse( join( Y, Z ) ) )
% 0.81/1.38 ==> join( join( X, converse( Y ) ), converse( Z ) ) }.
% 0.81/1.38 parent0[0]: (70) {G1,W14,D5,L1,V3,M1} P(8,1) { join( join( Z, converse( X )
% 0.81/1.38 ), converse( Y ) ) ==> join( Z, converse( join( X, Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := Z
% 0.81/1.38 Z := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3679) {G2,W10,D5,L1,V2,M1} { join( complement( converse( X ) ),
% 0.81/1.38 converse( join( Y, X ) ) ) ==> top }.
% 0.81/1.38 parent0[0]: (367) {G8,W8,D5,L1,V2,M1} S(31);d(269) { join( join( complement
% 0.81/1.38 ( Y ), X ), Y ) ==> top }.
% 0.81/1.38 parent1[0; 9]: (3675) {G1,W14,D5,L1,V3,M1} { join( X, converse( join( Y, Z
% 0.81/1.38 ) ) ) ==> join( join( X, converse( Y ) ), converse( Z ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := converse( Y )
% 0.81/1.38 Y := converse( X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := complement( converse( X ) )
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (631) {G9,W10,D5,L1,V2,M1} P(70,367) { join( complement(
% 0.81/1.38 converse( X ) ), converse( join( Y, X ) ) ) ==> top }.
% 0.81/1.38 parent0: (3679) {G2,W10,D5,L1,V2,M1} { join( complement( converse( X ) ),
% 0.81/1.38 converse( join( Y, X ) ) ) ==> top }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3686) {G9,W10,D5,L1,V2,M1} { top ==> join( complement( converse(
% 0.81/1.38 X ) ), converse( join( Y, X ) ) ) }.
% 0.81/1.38 parent0[0]: (631) {G9,W10,D5,L1,V2,M1} P(70,367) { join( complement(
% 0.81/1.38 converse( X ) ), converse( join( Y, X ) ) ) ==> top }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3687) {G10,W8,D5,L1,V1,M1} { top ==> join( complement( converse
% 0.81/1.38 ( zero ) ), converse( X ) ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 7]: (3686) {G9,W10,D5,L1,V2,M1} { top ==> join( complement(
% 0.81/1.38 converse( X ) ), converse( join( Y, X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := zero
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3688) {G10,W8,D5,L1,V1,M1} { join( complement( converse( zero ) )
% 0.81/1.38 , converse( X ) ) ==> top }.
% 0.81/1.38 parent0[0]: (3687) {G10,W8,D5,L1,V1,M1} { top ==> join( complement(
% 0.81/1.38 converse( zero ) ), converse( X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (644) {G11,W8,D5,L1,V1,M1} P(414,631) { join( complement(
% 0.81/1.38 converse( zero ) ), converse( X ) ) ==> top }.
% 0.81/1.38 parent0: (3688) {G10,W8,D5,L1,V1,M1} { join( complement( converse( zero )
% 0.81/1.38 ), converse( X ) ) ==> top }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3690) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.81/1.38 ( join( complement( X ), Y ) ) ) }.
% 0.81/1.38 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3694) {G2,W13,D6,L1,V2,M1} { converse( X ) ==> join( meet(
% 0.81/1.38 converse( X ), converse( join( Y, X ) ) ), complement( top ) ) }.
% 0.81/1.38 parent0[0]: (631) {G9,W10,D5,L1,V2,M1} P(70,367) { join( complement(
% 0.81/1.38 converse( X ) ), converse( join( Y, X ) ) ) ==> top }.
% 0.81/1.38 parent1[0; 12]: (3690) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 Y := converse( join( Y, X ) )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3695) {G2,W12,D6,L1,V2,M1} { converse( X ) ==> join( meet(
% 0.81/1.38 converse( X ), converse( join( Y, X ) ) ), zero ) }.
% 0.81/1.38 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.38 zero }.
% 0.81/1.38 parent1[0; 11]: (3694) {G2,W13,D6,L1,V2,M1} { converse( X ) ==> join( meet
% 0.81/1.38 ( converse( X ), converse( join( Y, X ) ) ), complement( top ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3696) {G3,W10,D5,L1,V2,M1} { converse( X ) ==> meet( converse( X
% 0.81/1.38 ), converse( join( Y, X ) ) ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 3]: (3695) {G2,W12,D6,L1,V2,M1} { converse( X ) ==> join( meet
% 0.81/1.38 ( converse( X ), converse( join( Y, X ) ) ), zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( converse( X ), converse( join( Y, X ) ) )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3697) {G3,W10,D5,L1,V2,M1} { meet( converse( X ), converse( join
% 0.81/1.38 ( Y, X ) ) ) ==> converse( X ) }.
% 0.81/1.38 parent0[0]: (3696) {G3,W10,D5,L1,V2,M1} { converse( X ) ==> meet( converse
% 0.81/1.38 ( X ), converse( join( Y, X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (645) {G11,W10,D5,L1,V2,M1} P(631,34);d(49);d(414) { meet(
% 0.81/1.38 converse( X ), converse( join( Y, X ) ) ) ==> converse( X ) }.
% 0.81/1.38 parent0: (3697) {G3,W10,D5,L1,V2,M1} { meet( converse( X ), converse( join
% 0.81/1.38 ( Y, X ) ) ) ==> converse( X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3699) {G11,W8,D5,L1,V1,M1} { top ==> join( complement( converse(
% 0.81/1.38 zero ) ), converse( X ) ) }.
% 0.81/1.38 parent0[0]: (644) {G11,W8,D5,L1,V1,M1} P(414,631) { join( complement(
% 0.81/1.38 converse( zero ) ), converse( X ) ) ==> top }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3700) {G1,W7,D5,L1,V1,M1} { top ==> join( complement( converse(
% 0.81/1.38 zero ) ), X ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 6]: (3699) {G11,W8,D5,L1,V1,M1} { top ==> join( complement(
% 0.81/1.38 converse( zero ) ), converse( X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3701) {G1,W7,D5,L1,V1,M1} { join( complement( converse( zero ) )
% 0.81/1.38 , X ) ==> top }.
% 0.81/1.38 parent0[0]: (3700) {G1,W7,D5,L1,V1,M1} { top ==> join( complement(
% 0.81/1.38 converse( zero ) ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (670) {G12,W7,D5,L1,V1,M1} P(7,644) { join( complement(
% 0.81/1.38 converse( zero ) ), X ) ==> top }.
% 0.81/1.38 parent0: (3701) {G1,W7,D5,L1,V1,M1} { join( complement( converse( zero ) )
% 0.81/1.38 , X ) ==> top }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3703) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.81/1.38 complement( X ), zero ) ) }.
% 0.81/1.38 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( complement
% 0.81/1.38 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3706) {G3,W7,D4,L1,V0,M1} { meet( converse( zero ), top ) ==>
% 0.81/1.38 complement( top ) }.
% 0.81/1.38 parent0[0]: (670) {G12,W7,D5,L1,V1,M1} P(7,644) { join( complement(
% 0.81/1.38 converse( zero ) ), X ) ==> top }.
% 0.81/1.38 parent1[0; 6]: (3703) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.81/1.38 ( join( complement( X ), zero ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := zero
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := converse( zero )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3707) {G2,W6,D4,L1,V0,M1} { meet( converse( zero ), top ) ==>
% 0.81/1.38 zero }.
% 0.81/1.38 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.38 zero }.
% 0.81/1.38 parent1[0; 5]: (3706) {G3,W7,D4,L1,V0,M1} { meet( converse( zero ), top )
% 0.81/1.38 ==> complement( top ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3708) {G3,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 0.81/1.38 parent0[0]: (415) {G11,W5,D3,L1,V1,M1} P(414,385) { meet( X, top ) ==> X
% 0.81/1.38 }.
% 0.81/1.38 parent1[0; 1]: (3707) {G2,W6,D4,L1,V0,M1} { meet( converse( zero ), top )
% 0.81/1.38 ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := converse( zero )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (675) {G13,W4,D3,L1,V0,M1} P(670,51);d(49);d(415) { converse(
% 0.81/1.38 zero ) ==> zero }.
% 0.81/1.38 parent0: (3708) {G3,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3711) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.81/1.38 converse( join( converse( X ), Y ) ) }.
% 0.81/1.38 parent0[0]: (72) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.81/1.38 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3713) {G1,W9,D6,L1,V1,M1} { join( X, converse( complement(
% 0.81/1.38 converse( X ) ) ) ) ==> converse( top ) }.
% 0.81/1.38 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.81/1.38 }.
% 0.81/1.38 parent1[0; 8]: (3711) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.81/1.38 converse( join( converse( X ), Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := complement( converse( X ) )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3714) {G2,W8,D6,L1,V1,M1} { join( X, converse( complement(
% 0.81/1.38 converse( X ) ) ) ) ==> top }.
% 0.81/1.38 parent0[0]: (342) {G10,W4,D3,L1,V0,M1} P(333,71);d(73);d(269) { converse(
% 0.81/1.38 top ) ==> top }.
% 0.81/1.38 parent1[0; 7]: (3713) {G1,W9,D6,L1,V1,M1} { join( X, converse( complement
% 0.81/1.38 ( converse( X ) ) ) ) ==> converse( top ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (697) {G11,W8,D6,L1,V1,M1} P(11,72);d(342) { join( X, converse
% 0.81/1.38 ( complement( converse( X ) ) ) ) ==> top }.
% 0.81/1.38 parent0: (3714) {G2,W8,D6,L1,V1,M1} { join( X, converse( complement(
% 0.81/1.38 converse( X ) ) ) ) ==> top }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3717) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 0.81/1.38 converse( join( X, converse( Y ) ) ) }.
% 0.81/1.38 parent0[0]: (73) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 0.81/1.38 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3719) {G2,W11,D6,L1,V2,M1} { join( converse( meet( X, converse(
% 0.81/1.38 Y ) ) ), Y ) ==> converse( converse( Y ) ) }.
% 0.81/1.38 parent0[0]: (512) {G20,W7,D4,L1,V2,M1} P(496,0) { join( meet( Y, X ), X )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 9]: (3717) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 0.81/1.38 converse( join( X, converse( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := converse( Y )
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := meet( X, converse( Y ) )
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3720) {G1,W9,D6,L1,V2,M1} { join( converse( meet( X, converse( Y
% 0.81/1.38 ) ) ), Y ) ==> Y }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 8]: (3719) {G2,W11,D6,L1,V2,M1} { join( converse( meet( X,
% 0.81/1.38 converse( Y ) ) ), Y ) ==> converse( converse( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (701) {G21,W9,D6,L1,V2,M1} P(512,73);d(7) { join( converse(
% 0.81/1.38 meet( X, converse( Y ) ) ), Y ) ==> Y }.
% 0.81/1.38 parent0: (3720) {G1,W9,D6,L1,V2,M1} { join( converse( meet( X, converse( Y
% 0.81/1.38 ) ) ), Y ) ==> Y }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3723) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.81/1.38 ( join( complement( X ), Y ) ) ) }.
% 0.81/1.38 parent0[0]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3726) {G2,W12,D8,L1,V1,M1} { X ==> join( meet( X, converse(
% 0.81/1.38 complement( converse( complement( X ) ) ) ) ), complement( top ) ) }.
% 0.81/1.38 parent0[0]: (697) {G11,W8,D6,L1,V1,M1} P(11,72);d(342) { join( X, converse
% 0.81/1.38 ( complement( converse( X ) ) ) ) ==> top }.
% 0.81/1.38 parent1[0; 11]: (3723) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := complement( X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := converse( complement( converse( complement( X ) ) ) )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3727) {G2,W11,D8,L1,V1,M1} { X ==> join( meet( X, converse(
% 0.81/1.38 complement( converse( complement( X ) ) ) ) ), zero ) }.
% 0.81/1.38 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.38 zero }.
% 0.81/1.38 parent1[0; 10]: (3726) {G2,W12,D8,L1,V1,M1} { X ==> join( meet( X,
% 0.81/1.38 converse( complement( converse( complement( X ) ) ) ) ), complement( top
% 0.81/1.38 ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3728) {G3,W9,D7,L1,V1,M1} { X ==> meet( X, converse( complement
% 0.81/1.38 ( converse( complement( X ) ) ) ) ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 2]: (3727) {G2,W11,D8,L1,V1,M1} { X ==> join( meet( X, converse
% 0.81/1.38 ( complement( converse( complement( X ) ) ) ) ), zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( X, converse( complement( converse( complement( X ) ) ) ) )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3729) {G3,W9,D7,L1,V1,M1} { meet( X, converse( complement(
% 0.81/1.38 converse( complement( X ) ) ) ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3728) {G3,W9,D7,L1,V1,M1} { X ==> meet( X, converse(
% 0.81/1.38 complement( converse( complement( X ) ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (745) {G12,W9,D7,L1,V1,M1} P(697,34);d(49);d(414) { meet( X,
% 0.81/1.38 converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.81/1.38 parent0: (3729) {G3,W9,D7,L1,V1,M1} { meet( X, converse( complement(
% 0.81/1.38 converse( complement( X ) ) ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3731) {G21,W9,D6,L1,V2,M1} { Y ==> join( converse( meet( X,
% 0.81/1.38 converse( Y ) ) ), Y ) }.
% 0.81/1.38 parent0[0]: (701) {G21,W9,D6,L1,V2,M1} P(512,73);d(7) { join( converse(
% 0.81/1.38 meet( X, converse( Y ) ) ), Y ) ==> Y }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3732) {G13,W12,D6,L1,V1,M1} { complement( converse( complement(
% 0.81/1.38 X ) ) ) ==> join( converse( X ), complement( converse( complement( X ) )
% 0.81/1.38 ) ) }.
% 0.81/1.38 parent0[0]: (745) {G12,W9,D7,L1,V1,M1} P(697,34);d(49);d(414) { meet( X,
% 0.81/1.38 converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.81/1.38 parent1[0; 7]: (3731) {G21,W9,D6,L1,V2,M1} { Y ==> join( converse( meet( X
% 0.81/1.38 , converse( Y ) ) ), Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := complement( converse( complement( X ) ) )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3733) {G13,W12,D6,L1,V1,M1} { join( converse( X ), complement(
% 0.81/1.38 converse( complement( X ) ) ) ) ==> complement( converse( complement( X )
% 0.81/1.38 ) ) }.
% 0.81/1.38 parent0[0]: (3732) {G13,W12,D6,L1,V1,M1} { complement( converse(
% 0.81/1.38 complement( X ) ) ) ==> join( converse( X ), complement( converse(
% 0.81/1.38 complement( X ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (825) {G22,W12,D6,L1,V1,M1} P(745,701) { join( converse( X ),
% 0.81/1.38 complement( converse( complement( X ) ) ) ) ==> complement( converse(
% 0.81/1.38 complement( X ) ) ) }.
% 0.81/1.38 parent0: (3733) {G13,W12,D6,L1,V1,M1} { join( converse( X ), complement(
% 0.81/1.38 converse( complement( X ) ) ) ) ==> complement( converse( complement( X )
% 0.81/1.38 ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3735) {G11,W10,D5,L1,V2,M1} { converse( X ) ==> meet( converse( X
% 0.81/1.38 ), converse( join( Y, X ) ) ) }.
% 0.81/1.38 parent0[0]: (645) {G11,W10,D5,L1,V2,M1} P(631,34);d(49);d(414) { meet(
% 0.81/1.38 converse( X ), converse( join( Y, X ) ) ) ==> converse( X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3738) {G1,W13,D6,L1,V2,M1} { converse( converse( X ) ) ==> meet
% 0.81/1.38 ( converse( converse( X ) ), converse( converse( join( Y, X ) ) ) ) }.
% 0.81/1.38 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.38 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.38 parent1[0; 9]: (3735) {G11,W10,D5,L1,V2,M1} { converse( X ) ==> meet(
% 0.81/1.38 converse( X ), converse( join( Y, X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 Y := converse( Y )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3741) {G1,W11,D5,L1,V2,M1} { converse( converse( X ) ) ==> meet
% 0.81/1.38 ( converse( converse( X ) ), join( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 8]: (3738) {G1,W13,D6,L1,V2,M1} { converse( converse( X ) ) ==>
% 0.81/1.38 meet( converse( converse( X ) ), converse( converse( join( Y, X ) ) ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := join( Y, X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3747) {G1,W9,D4,L1,V2,M1} { converse( converse( X ) ) ==> meet(
% 0.81/1.38 X, join( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 5]: (3741) {G1,W11,D5,L1,V2,M1} { converse( converse( X ) ) ==>
% 0.81/1.38 meet( converse( converse( X ) ), join( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3748) {G1,W7,D4,L1,V2,M1} { X ==> meet( X, join( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 1]: (3747) {G1,W9,D4,L1,V2,M1} { converse( converse( X ) ) ==>
% 0.81/1.38 meet( X, join( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3750) {G1,W7,D4,L1,V2,M1} { meet( X, join( Y, X ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3748) {G1,W7,D4,L1,V2,M1} { X ==> meet( X, join( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (857) {G12,W7,D4,L1,V2,M1} P(8,645);d(7);d(7) { meet( Y, join
% 0.81/1.38 ( X, Y ) ) ==> Y }.
% 0.81/1.38 parent0: (3750) {G1,W7,D4,L1,V2,M1} { meet( X, join( Y, X ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3753) {G12,W7,D4,L1,V2,M1} { X ==> meet( X, join( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (857) {G12,W7,D4,L1,V2,M1} P(8,645);d(7);d(7) { meet( Y, join(
% 0.81/1.38 X, Y ) ) ==> Y }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3754) {G13,W7,D4,L1,V2,M1} { X ==> meet( X, join( X, Y ) ) }.
% 0.81/1.38 parent0[0]: (435) {G14,W9,D4,L1,V2,M1} P(429,20) { join( join( X, Y ), X )
% 0.81/1.38 ==> join( X, Y ) }.
% 0.81/1.38 parent1[0; 4]: (3753) {G12,W7,D4,L1,V2,M1} { X ==> meet( X, join( Y, X ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := join( X, Y )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3755) {G13,W7,D4,L1,V2,M1} { meet( X, join( X, Y ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3754) {G13,W7,D4,L1,V2,M1} { X ==> meet( X, join( X, Y ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (863) {G15,W7,D4,L1,V2,M1} P(435,857) { meet( X, join( X, Y )
% 0.81/1.38 ) ==> X }.
% 0.81/1.38 parent0: (3755) {G13,W7,D4,L1,V2,M1} { meet( X, join( X, Y ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3757) {G13,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ), meet
% 0.81/1.38 ( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (457) {G13,W8,D4,L1,V2,M1} P(419,455) { meet( complement( X ),
% 0.81/1.38 meet( Y, X ) ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3758) {G14,W8,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 0.81/1.38 , Y ) ), X ) }.
% 0.81/1.38 parent0[0]: (863) {G15,W7,D4,L1,V2,M1} P(435,857) { meet( X, join( X, Y ) )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 7]: (3757) {G13,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 0.81/1.38 ), meet( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := join( X, Y )
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3759) {G14,W8,D5,L1,V2,M1} { meet( complement( join( X, Y ) ), X
% 0.81/1.38 ) ==> zero }.
% 0.81/1.38 parent0[0]: (3758) {G14,W8,D5,L1,V2,M1} { zero ==> meet( complement( join
% 0.81/1.38 ( X, Y ) ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (877) {G16,W8,D5,L1,V2,M1} P(863,457) { meet( complement( join
% 0.81/1.38 ( X, Y ) ), X ) ==> zero }.
% 0.81/1.38 parent0: (3759) {G14,W8,D5,L1,V2,M1} { meet( complement( join( X, Y ) ), X
% 0.81/1.38 ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3761) {G16,W8,D5,L1,V2,M1} { zero ==> meet( complement( join( X,
% 0.81/1.38 Y ) ), X ) }.
% 0.81/1.38 parent0[0]: (877) {G16,W8,D5,L1,V2,M1} P(863,457) { meet( complement( join
% 0.81/1.38 ( X, Y ) ), X ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3762) {G1,W9,D5,L1,V0,M1} { zero ==> meet( complement( skol3 ),
% 0.81/1.38 composition( skol1, converse( skol2 ) ) ) }.
% 0.81/1.38 parent0[0]: (16) {G0,W8,D5,L1,V0,M1} I { join( composition( skol1, converse
% 0.81/1.38 ( skol2 ) ), skol3 ) ==> skol3 }.
% 0.81/1.38 parent1[0; 4]: (3761) {G16,W8,D5,L1,V2,M1} { zero ==> meet( complement(
% 0.81/1.38 join( X, Y ) ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := composition( skol1, converse( skol2 ) )
% 0.81/1.38 Y := skol3
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3763) {G1,W9,D5,L1,V0,M1} { meet( complement( skol3 ),
% 0.81/1.38 composition( skol1, converse( skol2 ) ) ) ==> zero }.
% 0.81/1.38 parent0[0]: (3762) {G1,W9,D5,L1,V0,M1} { zero ==> meet( complement( skol3
% 0.81/1.38 ), composition( skol1, converse( skol2 ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (928) {G17,W9,D5,L1,V0,M1} P(16,877) { meet( complement( skol3
% 0.81/1.38 ), composition( skol1, converse( skol2 ) ) ) ==> zero }.
% 0.81/1.38 parent0: (3763) {G1,W9,D5,L1,V0,M1} { meet( complement( skol3 ),
% 0.81/1.38 composition( skol1, converse( skol2 ) ) ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3766) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.81/1.38 complement( Y ) ) ) ==> X }.
% 0.81/1.38 parent0[0]: (432) {G13,W10,D5,L1,V2,M1} P(419,3) { complement( join(
% 0.81/1.38 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.81/1.38 parent1[0; 5]: (34) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.81/1.38 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1000) {G14,W10,D5,L1,V2,M1} S(34);d(432) { join( meet( X, Y )
% 0.81/1.38 , meet( X, complement( Y ) ) ) ==> X }.
% 0.81/1.38 parent0: (3766) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.81/1.38 complement( Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3768) {G14,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X,
% 0.81/1.38 complement( Y ) ) ) }.
% 0.81/1.38 parent0[0]: (1000) {G14,W10,D5,L1,V2,M1} S(34);d(432) { join( meet( X, Y )
% 0.81/1.38 , meet( X, complement( Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3769) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet( X,
% 0.81/1.38 complement( Y ) ) ) }.
% 0.81/1.38 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.81/1.38 Y ) }.
% 0.81/1.38 parent1[0; 3]: (3768) {G14,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.81/1.38 meet( X, complement( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3773) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 0.81/1.38 complement( Y ) ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3769) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet(
% 0.81/1.38 X, complement( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1019) {G15,W10,D5,L1,V2,M1} P(47,1000) { join( meet( Y, X ),
% 0.81/1.38 meet( X, complement( Y ) ) ) ==> X }.
% 0.81/1.38 parent0: (3773) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 0.81/1.38 complement( Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3777) {G15,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ), meet( Y,
% 0.81/1.38 complement( X ) ) ) }.
% 0.81/1.38 parent0[0]: (1019) {G15,W10,D5,L1,V2,M1} P(47,1000) { join( meet( Y, X ),
% 0.81/1.38 meet( X, complement( Y ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3778) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 0.81/1.38 ) ), meet( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.81/1.38 parent1[0; 2]: (3777) {G15,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ),
% 0.81/1.38 meet( Y, complement( X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( Y, X )
% 0.81/1.38 Y := meet( X, complement( Y ) )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3781) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 0.81/1.38 meet( Y, X ) ) ==> X }.
% 0.81/1.38 parent0[0]: (3778) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement
% 0.81/1.38 ( Y ) ), meet( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1033) {G16,W10,D5,L1,V2,M1} P(1019,0) { join( meet( Y,
% 0.81/1.38 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 0.81/1.38 parent0: (3781) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 0.81/1.38 meet( Y, X ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3783) {G14,W10,D5,L1,V2,M1} { join( X, complement( Y ) ) ==>
% 0.81/1.38 complement( meet( complement( X ), Y ) ) }.
% 0.81/1.38 parent0[0]: (545) {G14,W10,D5,L1,V2,M1} P(419,433) { complement( meet(
% 0.81/1.38 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3786) {G13,W13,D9,L1,V1,M1} { join( X, complement( converse(
% 0.81/1.38 complement( converse( complement( complement( X ) ) ) ) ) ) ) ==>
% 0.81/1.38 complement( complement( X ) ) }.
% 0.81/1.38 parent0[0]: (745) {G12,W9,D7,L1,V1,M1} P(697,34);d(49);d(414) { meet( X,
% 0.81/1.38 converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.81/1.38 parent1[0; 11]: (3783) {G14,W10,D5,L1,V2,M1} { join( X, complement( Y ) )
% 0.81/1.38 ==> complement( meet( complement( X ), Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := complement( X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := converse( complement( converse( complement( complement( X ) ) ) ) )
% 0.81/1.38
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3788) {G13,W11,D9,L1,V1,M1} { join( X, complement( converse(
% 0.81/1.38 complement( converse( complement( complement( X ) ) ) ) ) ) ) ==> X }.
% 0.81/1.38 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.38 complement( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 10]: (3786) {G13,W13,D9,L1,V1,M1} { join( X, complement(
% 0.81/1.38 converse( complement( converse( complement( complement( X ) ) ) ) ) ) )
% 0.81/1.38 ==> complement( complement( X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3789) {G13,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 0.81/1.38 complement( converse( X ) ) ) ) ) ==> X }.
% 0.81/1.38 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.38 complement( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 7]: (3788) {G13,W11,D9,L1,V1,M1} { join( X, complement(
% 0.81/1.38 converse( complement( converse( complement( complement( X ) ) ) ) ) ) )
% 0.81/1.38 ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1160) {G15,W9,D7,L1,V1,M1} P(745,545);d(419) { join( X,
% 0.81/1.38 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.81/1.38 parent0: (3789) {G13,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 0.81/1.38 complement( converse( X ) ) ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3794) {G15,W9,D7,L1,V1,M1} { X ==> join( X, complement( converse
% 0.81/1.38 ( complement( converse( X ) ) ) ) ) }.
% 0.81/1.38 parent0[0]: (1160) {G15,W9,D7,L1,V1,M1} P(745,545);d(419) { join( X,
% 0.81/1.38 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3796) {G1,W10,D6,L1,V1,M1} { converse( X ) ==> join( converse( X
% 0.81/1.38 ), complement( converse( complement( X ) ) ) ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 9]: (3794) {G15,W9,D7,L1,V1,M1} { X ==> join( X, complement(
% 0.81/1.38 converse( complement( converse( X ) ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3797) {G2,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 0.81/1.38 converse( complement( X ) ) ) }.
% 0.81/1.38 parent0[0]: (825) {G22,W12,D6,L1,V1,M1} P(745,701) { join( converse( X ),
% 0.81/1.38 complement( converse( complement( X ) ) ) ) ==> complement( converse(
% 0.81/1.38 complement( X ) ) ) }.
% 0.81/1.38 parent1[0; 3]: (3796) {G1,W10,D6,L1,V1,M1} { converse( X ) ==> join(
% 0.81/1.38 converse( X ), complement( converse( complement( X ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3798) {G2,W7,D5,L1,V1,M1} { complement( converse( complement( X )
% 0.81/1.38 ) ) ==> converse( X ) }.
% 0.81/1.38 parent0[0]: (3797) {G2,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 0.81/1.38 converse( complement( X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1207) {G23,W7,D5,L1,V1,M1} P(7,1160);d(825) { complement(
% 0.81/1.38 converse( complement( X ) ) ) ==> converse( X ) }.
% 0.81/1.38 parent0: (3798) {G2,W7,D5,L1,V1,M1} { complement( converse( complement( X
% 0.81/1.38 ) ) ) ==> converse( X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3799) {G23,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 0.81/1.38 converse( complement( X ) ) ) }.
% 0.81/1.38 parent0[0]: (1207) {G23,W7,D5,L1,V1,M1} P(7,1160);d(825) { complement(
% 0.81/1.38 converse( complement( X ) ) ) ==> converse( X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3801) {G13,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 0.81/1.38 complement( converse( X ) ) }.
% 0.81/1.38 parent0[0]: (419) {G12,W5,D4,L1,V1,M1} P(414,51);d(415) { complement(
% 0.81/1.38 complement( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 6]: (3799) {G23,W7,D5,L1,V1,M1} { converse( X ) ==> complement
% 0.81/1.38 ( converse( complement( X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := complement( X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1228) {G24,W7,D4,L1,V1,M1} P(1207,419) { converse( complement
% 0.81/1.38 ( X ) ) ==> complement( converse( X ) ) }.
% 0.81/1.38 parent0: (3801) {G13,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 0.81/1.38 complement( converse( X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3804) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.81/1.38 converse( composition( converse( X ), Y ) ) }.
% 0.81/1.38 parent0[0]: (96) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.81/1.38 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3808) {G2,W12,D6,L1,V2,M1} { composition( converse( X ),
% 0.81/1.38 complement( Y ) ) ==> converse( composition( complement( converse( Y ) )
% 0.81/1.38 , X ) ) }.
% 0.81/1.38 parent0[0]: (1228) {G24,W7,D4,L1,V1,M1} P(1207,419) { converse( complement
% 0.81/1.38 ( X ) ) ==> complement( converse( X ) ) }.
% 0.81/1.38 parent1[0; 8]: (3804) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.81/1.38 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := complement( Y )
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3810) {G2,W12,D6,L1,V2,M1} { converse( composition( complement(
% 0.81/1.38 converse( Y ) ), X ) ) ==> composition( converse( X ), complement( Y ) )
% 0.81/1.38 }.
% 0.81/1.38 parent0[0]: (3808) {G2,W12,D6,L1,V2,M1} { composition( converse( X ),
% 0.81/1.38 complement( Y ) ) ==> converse( composition( complement( converse( Y ) )
% 0.81/1.38 , X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1248) {G25,W12,D6,L1,V2,M1} P(1228,96) { converse(
% 0.81/1.38 composition( complement( converse( X ) ), Y ) ) ==> composition( converse
% 0.81/1.38 ( Y ), complement( X ) ) }.
% 0.81/1.38 parent0: (3810) {G2,W12,D6,L1,V2,M1} { converse( composition( complement(
% 0.81/1.38 converse( Y ) ), X ) ) ==> composition( converse( X ), complement( Y ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3812) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.81/1.38 composition( converse( X ), converse( Y ) ) }.
% 0.81/1.38 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.81/1.38 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3814) {G1,W12,D5,L1,V2,M1} { converse( composition( complement(
% 0.81/1.38 X ), Y ) ) ==> composition( converse( Y ), complement( converse( X ) ) )
% 0.81/1.38 }.
% 0.81/1.38 parent0[0]: (1228) {G24,W7,D4,L1,V1,M1} P(1207,419) { converse( complement
% 0.81/1.38 ( X ) ) ==> complement( converse( X ) ) }.
% 0.81/1.38 parent1[0; 9]: (3812) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.81/1.38 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := complement( X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3816) {G1,W12,D5,L1,V2,M1} { composition( converse( Y ),
% 0.81/1.38 complement( converse( X ) ) ) ==> converse( composition( complement( X )
% 0.81/1.38 , Y ) ) }.
% 0.81/1.38 parent0[0]: (3814) {G1,W12,D5,L1,V2,M1} { converse( composition(
% 0.81/1.38 complement( X ), Y ) ) ==> composition( converse( Y ), complement(
% 0.81/1.38 converse( X ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1252) {G25,W12,D5,L1,V2,M1} P(1228,9) { composition( converse
% 0.81/1.38 ( Y ), complement( converse( X ) ) ) ==> converse( composition(
% 0.81/1.38 complement( X ), Y ) ) }.
% 0.81/1.38 parent0: (3816) {G1,W12,D5,L1,V2,M1} { composition( converse( Y ),
% 0.81/1.38 complement( converse( X ) ) ) ==> converse( composition( complement( X )
% 0.81/1.38 , Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3818) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.81/1.38 converse( X ), converse( Y ) ) }.
% 0.81/1.38 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.81/1.38 ) ==> converse( join( X, Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3820) {G1,W12,D5,L1,V2,M1} { converse( join( X, complement( Y )
% 0.81/1.38 ) ) ==> join( converse( X ), complement( converse( Y ) ) ) }.
% 0.81/1.38 parent0[0]: (1228) {G24,W7,D4,L1,V1,M1} P(1207,419) { converse( complement
% 0.81/1.38 ( X ) ) ==> complement( converse( X ) ) }.
% 0.81/1.38 parent1[0; 9]: (3818) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.81/1.38 join( converse( X ), converse( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := complement( Y )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3822) {G1,W12,D5,L1,V2,M1} { join( converse( X ), complement(
% 0.81/1.38 converse( Y ) ) ) ==> converse( join( X, complement( Y ) ) ) }.
% 0.81/1.38 parent0[0]: (3820) {G1,W12,D5,L1,V2,M1} { converse( join( X, complement( Y
% 0.81/1.38 ) ) ) ==> join( converse( X ), complement( converse( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1254) {G25,W12,D5,L1,V2,M1} P(1228,8) { join( converse( Y ),
% 0.81/1.38 complement( converse( X ) ) ) ==> converse( join( Y, complement( X ) ) )
% 0.81/1.38 }.
% 0.81/1.38 parent0: (3822) {G1,W12,D5,L1,V2,M1} { join( converse( X ), complement(
% 0.81/1.38 converse( Y ) ) ) ==> converse( join( X, complement( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3824) {G1,W15,D7,L1,V2,M1} { complement( converse( Y ) ) ==> join
% 0.81/1.38 ( composition( X, complement( converse( composition( Y, X ) ) ) ),
% 0.81/1.38 complement( converse( Y ) ) ) }.
% 0.81/1.38 parent0[0]: (103) {G1,W15,D7,L1,V2,M1} P(9,10);d(7) { join( composition( X
% 0.81/1.38 , complement( converse( composition( Y, X ) ) ) ), complement( converse(
% 0.81/1.38 Y ) ) ) ==> complement( converse( Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3832) {G2,W17,D8,L1,V1,M1} { complement( converse( top ) ) ==>
% 0.81/1.38 join( composition( converse( X ), complement( converse( converse(
% 0.81/1.38 composition( X, top ) ) ) ) ), complement( converse( top ) ) ) }.
% 0.81/1.38 parent0[0]: (344) {G11,W9,D4,L1,V1,M1} P(342,95) { composition( top,
% 0.81/1.38 converse( X ) ) ==> converse( composition( X, top ) ) }.
% 0.81/1.38 parent1[0; 10]: (3824) {G1,W15,D7,L1,V2,M1} { complement( converse( Y ) )
% 0.81/1.38 ==> join( composition( X, complement( converse( composition( Y, X ) ) ) )
% 0.81/1.38 , complement( converse( Y ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 Y := top
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3833) {G3,W16,D8,L1,V1,M1} { complement( converse( top ) ) ==>
% 0.81/1.38 join( converse( composition( complement( converse( composition( X, top )
% 0.81/1.38 ) ), X ) ), complement( converse( top ) ) ) }.
% 0.81/1.38 parent0[0]: (1252) {G25,W12,D5,L1,V2,M1} P(1228,9) { composition( converse
% 0.81/1.38 ( Y ), complement( converse( X ) ) ) ==> converse( composition(
% 0.81/1.38 complement( X ), Y ) ) }.
% 0.81/1.38 parent1[0; 5]: (3832) {G2,W17,D8,L1,V1,M1} { complement( converse( top ) )
% 0.81/1.38 ==> join( composition( converse( X ), complement( converse( converse(
% 0.81/1.38 composition( X, top ) ) ) ) ), complement( converse( top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := converse( composition( X, top ) )
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3834) {G4,W15,D8,L1,V1,M1} { complement( converse( top ) ) ==>
% 0.81/1.38 converse( join( composition( complement( converse( composition( X, top )
% 0.81/1.38 ) ), X ), complement( top ) ) ) }.
% 0.81/1.38 parent0[0]: (1254) {G25,W12,D5,L1,V2,M1} P(1228,8) { join( converse( Y ),
% 0.81/1.38 complement( converse( X ) ) ) ==> converse( join( Y, complement( X ) ) )
% 0.81/1.38 }.
% 0.81/1.38 parent1[0; 4]: (3833) {G3,W16,D8,L1,V1,M1} { complement( converse( top ) )
% 0.81/1.38 ==> join( converse( composition( complement( converse( composition( X,
% 0.81/1.38 top ) ) ), X ) ), complement( converse( top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := top
% 0.81/1.38 Y := composition( complement( converse( composition( X, top ) ) ), X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3835) {G2,W14,D8,L1,V1,M1} { complement( converse( top ) ) ==>
% 0.81/1.38 converse( join( composition( complement( converse( composition( X, top )
% 0.81/1.38 ) ), X ), zero ) ) }.
% 0.81/1.38 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.38 zero }.
% 0.81/1.38 parent1[0; 13]: (3834) {G4,W15,D8,L1,V1,M1} { complement( converse( top )
% 0.81/1.38 ) ==> converse( join( composition( complement( converse( composition( X
% 0.81/1.38 , top ) ) ), X ), complement( top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3836) {G3,W12,D7,L1,V1,M1} { complement( converse( top ) ) ==>
% 0.81/1.38 converse( composition( complement( converse( composition( X, top ) ) ), X
% 0.81/1.38 ) ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 5]: (3835) {G2,W14,D8,L1,V1,M1} { complement( converse( top ) )
% 0.81/1.38 ==> converse( join( composition( complement( converse( composition( X,
% 0.81/1.38 top ) ) ), X ), zero ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := composition( complement( converse( composition( X, top ) ) ), X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3837) {G4,W11,D5,L1,V1,M1} { complement( converse( top ) ) ==>
% 0.81/1.38 composition( converse( X ), complement( composition( X, top ) ) ) }.
% 0.81/1.38 parent0[0]: (1248) {G25,W12,D6,L1,V2,M1} P(1228,96) { converse( composition
% 0.81/1.38 ( complement( converse( X ) ), Y ) ) ==> composition( converse( Y ),
% 0.81/1.38 complement( X ) ) }.
% 0.81/1.38 parent1[0; 4]: (3836) {G3,W12,D7,L1,V1,M1} { complement( converse( top ) )
% 0.81/1.38 ==> converse( composition( complement( converse( composition( X, top ) )
% 0.81/1.38 ), X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := composition( X, top )
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3838) {G5,W10,D5,L1,V1,M1} { complement( top ) ==> composition(
% 0.81/1.38 converse( X ), complement( composition( X, top ) ) ) }.
% 0.81/1.38 parent0[0]: (342) {G10,W4,D3,L1,V0,M1} P(333,71);d(73);d(269) { converse(
% 0.81/1.38 top ) ==> top }.
% 0.81/1.38 parent1[0; 2]: (3837) {G4,W11,D5,L1,V1,M1} { complement( converse( top ) )
% 0.81/1.38 ==> composition( converse( X ), complement( composition( X, top ) ) )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3839) {G2,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 0.81/1.38 , complement( composition( X, top ) ) ) }.
% 0.81/1.38 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.81/1.38 zero }.
% 0.81/1.38 parent1[0; 1]: (3838) {G5,W10,D5,L1,V1,M1} { complement( top ) ==>
% 0.81/1.38 composition( converse( X ), complement( composition( X, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3840) {G2,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.81/1.38 complement( composition( X, top ) ) ) ==> zero }.
% 0.81/1.38 parent0[0]: (3839) {G2,W9,D5,L1,V1,M1} { zero ==> composition( converse( X
% 0.81/1.38 ), complement( composition( X, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1421) {G26,W9,D5,L1,V1,M1} P(344,103);d(1252);d(1254);d(49);d
% 0.81/1.38 (414);d(1248);d(342);d(49) { composition( converse( X ), complement(
% 0.81/1.38 composition( X, top ) ) ) ==> zero }.
% 0.81/1.38 parent0: (3840) {G2,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.81/1.38 complement( composition( X, top ) ) ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3842) {G26,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 0.81/1.38 , complement( composition( X, top ) ) ) }.
% 0.81/1.38 parent0[0]: (1421) {G26,W9,D5,L1,V1,M1} P(344,103);d(1252);d(1254);d(49);d(
% 0.81/1.38 414);d(1248);d(342);d(49) { composition( converse( X ), complement(
% 0.81/1.38 composition( X, top ) ) ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3843) {G11,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.81/1.38 complement( composition( top, top ) ) ) }.
% 0.81/1.38 parent0[0]: (342) {G10,W4,D3,L1,V0,M1} P(333,71);d(73);d(269) { converse(
% 0.81/1.38 top ) ==> top }.
% 0.81/1.38 parent1[0; 3]: (3842) {G26,W9,D5,L1,V1,M1} { zero ==> composition(
% 0.81/1.38 converse( X ), complement( composition( X, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := top
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3844) {G11,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.81/1.38 composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent0[0]: (3843) {G11,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.81/1.38 complement( composition( top, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1436) {G27,W8,D5,L1,V0,M1} P(342,1421) { composition( top,
% 0.81/1.38 complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent0: (3844) {G11,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.81/1.38 composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3846) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 0.81/1.38 join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.81/1.38 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.81/1.38 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Z
% 0.81/1.38 Z := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3851) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.81/1.38 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.81/1.38 complement( composition( top, top ) ) ), zero ) }.
% 0.81/1.38 parent0[0]: (1436) {G27,W8,D5,L1,V0,M1} P(342,1421) { composition( top,
% 0.81/1.38 complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent1[0; 16]: (3846) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y
% 0.81/1.38 ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := complement( composition( top, top ) )
% 0.81/1.38 Z := top
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3852) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.81/1.38 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.81/1.38 composition( top, top ) ) ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 9]: (3851) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.81/1.38 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.81/1.38 complement( composition( top, top ) ) ), zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := composition( X, complement( composition( top, top ) ) )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3853) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 0.81/1.38 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 0.81/1.38 top, top ) ) ) }.
% 0.81/1.38 parent0[0]: (269) {G7,W5,D3,L1,V1,M1} P(249,32);d(33);d(153) { join( X, top
% 0.81/1.38 ) ==> top }.
% 0.81/1.38 parent1[0; 2]: (3852) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.81/1.38 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.81/1.38 composition( top, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3854) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 0.81/1.38 ( composition( top, top ) ) ) }.
% 0.81/1.38 parent0[0]: (1436) {G27,W8,D5,L1,V0,M1} P(342,1421) { composition( top,
% 0.81/1.38 complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent1[0; 1]: (3853) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 0.81/1.38 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 0.81/1.38 ( top, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3855) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.81/1.38 composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent0[0]: (3854) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 0.81/1.38 complement( composition( top, top ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1443) {G28,W8,D5,L1,V1,M1} P(1436,6);d(414);d(269);d(1436) {
% 0.81/1.38 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent0: (3855) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.81/1.38 composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3857) {G0,W11,D4,L1,V3,M1} { composition( composition( X, Y ), Z
% 0.81/1.38 ) ==> composition( X, composition( Y, Z ) ) }.
% 0.81/1.38 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.81/1.38 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := Z
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3860) {G1,W12,D5,L1,V1,M1} { composition( composition( X, top )
% 0.81/1.38 , complement( composition( top, top ) ) ) ==> composition( X, zero ) }.
% 0.81/1.38 parent0[0]: (1436) {G27,W8,D5,L1,V0,M1} P(342,1421) { composition( top,
% 0.81/1.38 complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent1[0; 11]: (3857) {G0,W11,D4,L1,V3,M1} { composition( composition( X
% 0.81/1.38 , Y ), Z ) ==> composition( X, composition( Y, Z ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := top
% 0.81/1.38 Z := complement( composition( top, top ) )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3861) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero ) }.
% 0.81/1.38 parent0[0]: (1443) {G28,W8,D5,L1,V1,M1} P(1436,6);d(414);d(269);d(1436) {
% 0.81/1.38 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.81/1.38 parent1[0; 1]: (3860) {G1,W12,D5,L1,V1,M1} { composition( composition( X,
% 0.81/1.38 top ), complement( composition( top, top ) ) ) ==> composition( X, zero )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := composition( X, top )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3862) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.81/1.38 parent0[0]: (3861) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1444) {G29,W5,D3,L1,V1,M1} P(1436,4);d(1443) { composition( X
% 0.81/1.38 , zero ) ==> zero }.
% 0.81/1.38 parent0: (3862) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3864) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.81/1.38 converse( composition( converse( X ), Y ) ) }.
% 0.81/1.38 parent0[0]: (96) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.81/1.38 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3867) {G2,W7,D4,L1,V1,M1} { composition( converse( zero ), X )
% 0.81/1.38 ==> converse( zero ) }.
% 0.81/1.38 parent0[0]: (1444) {G29,W5,D3,L1,V1,M1} P(1436,4);d(1443) { composition( X
% 0.81/1.38 , zero ) ==> zero }.
% 0.81/1.38 parent1[0; 6]: (3864) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.81/1.38 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := converse( X )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := zero
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3869) {G3,W6,D4,L1,V1,M1} { composition( converse( zero ), X )
% 0.81/1.38 ==> zero }.
% 0.81/1.38 parent0[0]: (675) {G13,W4,D3,L1,V0,M1} P(670,51);d(49);d(415) { converse(
% 0.81/1.38 zero ) ==> zero }.
% 0.81/1.38 parent1[0; 5]: (3867) {G2,W7,D4,L1,V1,M1} { composition( converse( zero )
% 0.81/1.38 , X ) ==> converse( zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3870) {G4,W5,D3,L1,V1,M1} { composition( zero, X ) ==> zero }.
% 0.81/1.38 parent0[0]: (675) {G13,W4,D3,L1,V0,M1} P(670,51);d(49);d(415) { converse(
% 0.81/1.38 zero ) ==> zero }.
% 0.81/1.38 parent1[0; 2]: (3869) {G3,W6,D4,L1,V1,M1} { composition( converse( zero )
% 0.81/1.38 , X ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1447) {G30,W5,D3,L1,V1,M1} P(1444,96);d(675) { composition(
% 0.81/1.38 zero, X ) ==> zero }.
% 0.81/1.38 parent0: (3870) {G4,W5,D3,L1,V1,M1} { composition( zero, X ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3875) {G1,W34,D7,L1,V3,M1} { composition( meet( X, composition( Z
% 0.81/1.38 , Y ) ), meet( converse( Y ), composition( converse( X ), Z ) ) ) ==>
% 0.81/1.38 join( meet( composition( X, converse( Y ) ), Z ), composition( meet( X,
% 0.81/1.38 composition( Z, Y ) ), meet( converse( Y ), composition( converse( X ), Z
% 0.81/1.38 ) ) ) ) }.
% 0.81/1.38 parent0[0]: (143) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition( Y
% 0.81/1.38 , converse( X ) ), Z ), composition( meet( Y, composition( Z, X ) ), meet
% 0.81/1.38 ( converse( X ), composition( converse( Y ), Z ) ) ) ) ==> composition(
% 0.81/1.38 meet( Y, composition( Z, X ) ), meet( converse( X ), composition(
% 0.81/1.38 converse( Y ), Z ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 Z := Z
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3880) {G2,W38,D8,L1,V0,M1} { composition( meet( complement(
% 0.81/1.38 skol3 ), composition( skol1, converse( skol2 ) ) ), meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ==> join( meet( composition( complement( skol3 ), converse(
% 0.81/1.38 converse( skol2 ) ) ), skol1 ), composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ) }.
% 0.81/1.38 parent0[0]: (928) {G17,W9,D5,L1,V0,M1} P(16,877) { meet( complement( skol3
% 0.81/1.38 ), composition( skol1, converse( skol2 ) ) ) ==> zero }.
% 0.81/1.38 parent1[0; 28]: (3875) {G1,W34,D7,L1,V3,M1} { composition( meet( X,
% 0.81/1.38 composition( Z, Y ) ), meet( converse( Y ), composition( converse( X ), Z
% 0.81/1.38 ) ) ) ==> join( meet( composition( X, converse( Y ) ), Z ), composition
% 0.81/1.38 ( meet( X, composition( Z, Y ) ), meet( converse( Y ), composition(
% 0.81/1.38 converse( X ), Z ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := complement( skol3 )
% 0.81/1.38 Y := converse( skol2 )
% 0.81/1.38 Z := skol1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3881) {G3,W32,D8,L1,V0,M1} { composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ==> join( meet( composition( complement( skol3 ), converse(
% 0.81/1.38 converse( skol2 ) ) ), skol1 ), composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ) }.
% 0.81/1.38 parent0[0]: (928) {G17,W9,D5,L1,V0,M1} P(16,877) { meet( complement( skol3
% 0.81/1.38 ), composition( skol1, converse( skol2 ) ) ) ==> zero }.
% 0.81/1.38 parent1[0; 2]: (3880) {G2,W38,D8,L1,V0,M1} { composition( meet( complement
% 0.81/1.38 ( skol3 ), composition( skol1, converse( skol2 ) ) ), meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ==> join( meet( composition( complement( skol3 ), converse(
% 0.81/1.38 converse( skol2 ) ) ), skol1 ), composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3912) {G1,W30,D8,L1,V0,M1} { composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ==> join( meet( composition( complement( skol3 ), converse(
% 0.81/1.38 converse( skol2 ) ) ), skol1 ), composition( zero, meet( skol2,
% 0.81/1.38 composition( converse( complement( skol3 ) ), skol1 ) ) ) ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 24]: (3881) {G3,W32,D8,L1,V0,M1} { composition( zero, meet(
% 0.81/1.38 converse( converse( skol2 ) ), composition( converse( complement( skol3 )
% 0.81/1.38 ), skol1 ) ) ) ==> join( meet( composition( complement( skol3 ),
% 0.81/1.38 converse( converse( skol2 ) ) ), skol1 ), composition( zero, meet(
% 0.81/1.38 converse( converse( skol2 ) ), composition( converse( complement( skol3 )
% 0.81/1.38 ), skol1 ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := skol2
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3914) {G1,W28,D8,L1,V0,M1} { composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ==> join( meet( composition( complement( skol3 ), skol2 ), skol1 )
% 0.81/1.38 , composition( zero, meet( skol2, composition( converse( complement(
% 0.81/1.38 skol3 ) ), skol1 ) ) ) ) }.
% 0.81/1.38 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.81/1.38 parent1[0; 17]: (3912) {G1,W30,D8,L1,V0,M1} { composition( zero, meet(
% 0.81/1.38 converse( converse( skol2 ) ), composition( converse( complement( skol3 )
% 0.81/1.38 ), skol1 ) ) ) ==> join( meet( composition( complement( skol3 ),
% 0.81/1.38 converse( converse( skol2 ) ) ), skol1 ), composition( zero, meet( skol2
% 0.81/1.38 , composition( converse( complement( skol3 ) ), skol1 ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := skol2
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3925) {G2,W20,D7,L1,V0,M1} { composition( zero, meet( converse(
% 0.81/1.38 converse( skol2 ) ), composition( converse( complement( skol3 ) ), skol1
% 0.81/1.38 ) ) ) ==> join( meet( composition( complement( skol3 ), skol2 ), skol1 )
% 0.81/1.38 , zero ) }.
% 0.81/1.38 parent0[0]: (1447) {G30,W5,D3,L1,V1,M1} P(1444,96);d(675) { composition(
% 0.81/1.38 zero, X ) ==> zero }.
% 0.81/1.38 parent1[0; 19]: (3914) {G1,W28,D8,L1,V0,M1} { composition( zero, meet(
% 0.81/1.38 converse( converse( skol2 ) ), composition( converse( complement( skol3 )
% 0.81/1.38 ), skol1 ) ) ) ==> join( meet( composition( complement( skol3 ), skol2 )
% 0.81/1.38 , skol1 ), composition( zero, meet( skol2, composition( converse(
% 0.81/1.38 complement( skol3 ) ), skol1 ) ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( skol2, composition( converse( complement( skol3 ) ), skol1 )
% 0.81/1.38 )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3926) {G3,W10,D6,L1,V0,M1} { zero ==> join( meet( composition(
% 0.81/1.38 complement( skol3 ), skol2 ), skol1 ), zero ) }.
% 0.81/1.38 parent0[0]: (1447) {G30,W5,D3,L1,V1,M1} P(1444,96);d(675) { composition(
% 0.81/1.38 zero, X ) ==> zero }.
% 0.81/1.38 parent1[0; 1]: (3925) {G2,W20,D7,L1,V0,M1} { composition( zero, meet(
% 0.81/1.38 converse( converse( skol2 ) ), composition( converse( complement( skol3 )
% 0.81/1.38 ), skol1 ) ) ) ==> join( meet( composition( complement( skol3 ), skol2 )
% 0.81/1.38 , skol1 ), zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( converse( converse( skol2 ) ), composition( converse(
% 0.81/1.38 complement( skol3 ) ), skol1 ) )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3929) {G4,W8,D5,L1,V0,M1} { zero ==> meet( composition(
% 0.81/1.38 complement( skol3 ), skol2 ), skol1 ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 2]: (3926) {G3,W10,D6,L1,V0,M1} { zero ==> join( meet(
% 0.81/1.38 composition( complement( skol3 ), skol2 ), skol1 ), zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( composition( complement( skol3 ), skol2 ), skol1 )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3930) {G4,W8,D5,L1,V0,M1} { meet( composition( complement( skol3
% 0.81/1.38 ), skol2 ), skol1 ) ==> zero }.
% 0.81/1.38 parent0[0]: (3929) {G4,W8,D5,L1,V0,M1} { zero ==> meet( composition(
% 0.81/1.38 complement( skol3 ), skol2 ), skol1 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (2945) {G31,W8,D5,L1,V0,M1} P(928,143);d(7);d(1447);d(414) {
% 0.81/1.38 meet( composition( complement( skol3 ), skol2 ), skol1 ) ==> zero }.
% 0.81/1.38 parent0: (3930) {G4,W8,D5,L1,V0,M1} { meet( composition( complement( skol3
% 0.81/1.38 ), skol2 ), skol1 ) ==> zero }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3932) {G16,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 0.81/1.38 ) ), meet( Y, X ) ) }.
% 0.81/1.38 parent0[0]: (1033) {G16,W10,D5,L1,V2,M1} P(1019,0) { join( meet( Y,
% 0.81/1.38 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3934) {G17,W11,D7,L1,V0,M1} { skol1 ==> join( meet( skol1,
% 0.81/1.38 complement( composition( complement( skol3 ), skol2 ) ) ), zero ) }.
% 0.81/1.38 parent0[0]: (2945) {G31,W8,D5,L1,V0,M1} P(928,143);d(7);d(1447);d(414) {
% 0.81/1.38 meet( composition( complement( skol3 ), skol2 ), skol1 ) ==> zero }.
% 0.81/1.38 parent1[0; 10]: (3932) {G16,W10,D5,L1,V2,M1} { X ==> join( meet( X,
% 0.81/1.38 complement( Y ) ), meet( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := skol1
% 0.81/1.38 Y := composition( complement( skol3 ), skol2 )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3935) {G11,W9,D6,L1,V0,M1} { skol1 ==> meet( skol1, complement(
% 0.81/1.38 composition( complement( skol3 ), skol2 ) ) ) }.
% 0.81/1.38 parent0[0]: (414) {G10,W5,D3,L1,V1,M1} P(385,0);d(406) { join( X, zero )
% 0.81/1.38 ==> X }.
% 0.81/1.38 parent1[0; 2]: (3934) {G17,W11,D7,L1,V0,M1} { skol1 ==> join( meet( skol1
% 0.81/1.38 , complement( composition( complement( skol3 ), skol2 ) ) ), zero ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := meet( skol1, complement( composition( complement( skol3 ), skol2 )
% 0.81/1.38 ) )
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqswap: (3936) {G11,W9,D6,L1,V0,M1} { meet( skol1, complement( composition
% 0.81/1.38 ( complement( skol3 ), skol2 ) ) ) ==> skol1 }.
% 0.81/1.38 parent0[0]: (3935) {G11,W9,D6,L1,V0,M1} { skol1 ==> meet( skol1,
% 0.81/1.38 complement( composition( complement( skol3 ), skol2 ) ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (2954) {G32,W9,D6,L1,V0,M1} P(2945,1033);d(414) { meet( skol1
% 0.81/1.38 , complement( composition( complement( skol3 ), skol2 ) ) ) ==> skol1 }.
% 0.81/1.38 parent0: (3936) {G11,W9,D6,L1,V0,M1} { meet( skol1, complement(
% 0.81/1.38 composition( complement( skol3 ), skol2 ) ) ) ==> skol1 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3940) {G15,W11,D7,L1,V0,M1} { complement( meet( complement(
% 0.81/1.38 composition( complement( skol3 ), skol2 ) ), skol1 ) ) = complement(
% 0.81/1.38 skol1 ) }.
% 0.81/1.38 parent0[0]: (2954) {G32,W9,D6,L1,V0,M1} P(2945,1033);d(414) { meet( skol1,
% 0.81/1.38 complement( composition( complement( skol3 ), skol2 ) ) ) ==> skol1 }.
% 0.81/1.38 parent1[0; 10]: (553) {G14,W9,D4,L1,V2,M1} P(433,0);d(433) { complement(
% 0.81/1.38 meet( X, Y ) ) = complement( meet( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := complement( composition( complement( skol3 ), skol2 ) )
% 0.81/1.38 Y := skol1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3941) {G15,W10,D5,L1,V0,M1} { join( composition( complement(
% 0.81/1.38 skol3 ), skol2 ), complement( skol1 ) ) = complement( skol1 ) }.
% 0.81/1.38 parent0[0]: (545) {G14,W10,D5,L1,V2,M1} P(419,433) { complement( meet(
% 0.81/1.38 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.81/1.38 parent1[0; 1]: (3940) {G15,W11,D7,L1,V0,M1} { complement( meet( complement
% 0.81/1.38 ( composition( complement( skol3 ), skol2 ) ), skol1 ) ) = complement(
% 0.81/1.38 skol1 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := composition( complement( skol3 ), skol2 )
% 0.81/1.38 Y := skol1
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (2984) {G33,W10,D5,L1,V0,M1} P(2954,553);d(545) { join(
% 0.81/1.38 composition( complement( skol3 ), skol2 ), complement( skol1 ) ) ==>
% 0.81/1.38 complement( skol1 ) }.
% 0.81/1.38 parent0: (3941) {G15,W10,D5,L1,V0,M1} { join( composition( complement(
% 0.81/1.38 skol3 ), skol2 ), complement( skol1 ) ) = complement( skol1 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 paramod: (3945) {G1,W5,D3,L1,V0,M1} { ! complement( skol1 ) ==> complement
% 0.81/1.38 ( skol1 ) }.
% 0.81/1.38 parent0[0]: (2984) {G33,W10,D5,L1,V0,M1} P(2954,553);d(545) { join(
% 0.81/1.38 composition( complement( skol3 ), skol2 ), complement( skol1 ) ) ==>
% 0.81/1.38 complement( skol1 ) }.
% 0.81/1.38 parent1[0; 2]: (17) {G0,W10,D5,L1,V0,M1} I { ! join( composition(
% 0.81/1.38 complement( skol3 ), skol2 ), complement( skol1 ) ) ==> complement( skol1
% 0.81/1.38 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 eqrefl: (3946) {G0,W0,D0,L0,V0,M0} { }.
% 0.81/1.38 parent0[0]: (3945) {G1,W5,D3,L1,V0,M1} { ! complement( skol1 ) ==>
% 0.81/1.38 complement( skol1 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (3010) {G34,W0,D0,L0,V0,M0} S(17);d(2984);q { }.
% 0.81/1.38 parent0: (3946) {G0,W0,D0,L0,V0,M0} { }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 Proof check complete!
% 0.81/1.38
% 0.81/1.38 Memory use:
% 0.81/1.38
% 0.81/1.38 space for terms: 37602
% 0.81/1.38 space for clauses: 332865
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 clauses generated: 39730
% 0.81/1.38 clauses kept: 3011
% 0.81/1.38 clauses selected: 378
% 0.81/1.38 clauses deleted: 229
% 0.81/1.38 clauses inuse deleted: 87
% 0.81/1.38
% 0.81/1.38 subsentry: 5816
% 0.81/1.38 literals s-matched: 2538
% 0.81/1.38 literals matched: 2084
% 0.81/1.38 full subsumption: 0
% 0.81/1.38
% 0.81/1.38 checksum: 737898479
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Bliksem ended
%------------------------------------------------------------------------------