TSTP Solution File: REL042+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL042+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 19:01:22 EDT 2022
% Result : Theorem 0.73s 1.36s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL042+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.35 % Computer : n014.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % DateTime : Fri Jul 8 11:52:51 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.73/1.36 *** allocated 10000 integers for termspace/termends
% 0.73/1.36 *** allocated 10000 integers for clauses
% 0.73/1.36 *** allocated 10000 integers for justifications
% 0.73/1.36 Bliksem 1.12
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Automatic Strategy Selection
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Clauses:
% 0.73/1.36
% 0.73/1.36 { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.73/1.36 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.73/1.36 complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.36 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.73/1.36 , Z ) }.
% 0.73/1.36 { composition( X, one ) = X }.
% 0.73/1.36 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.73/1.36 Y, Z ) ) }.
% 0.73/1.36 { converse( converse( X ) ) = X }.
% 0.73/1.36 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.73/1.36 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.73/1.36 ) ) }.
% 0.73/1.36 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.73/1.36 complement( Y ) ) = complement( Y ) }.
% 0.73/1.36 { top = join( X, complement( X ) ) }.
% 0.73/1.36 { zero = meet( X, complement( X ) ) }.
% 0.73/1.36 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.73/1.36 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 0.73/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) }.
% 0.73/1.36 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 0.73/1.36 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 0.73/1.36 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 0.73/1.36 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 0.73/1.36 { meet( composition( skol1, X ), composition( skol1, complement( X ) ) ) =
% 0.73/1.36 zero }.
% 0.73/1.36 { ! join( composition( converse( skol1 ), skol1 ), one ) = one }.
% 0.73/1.36
% 0.73/1.36 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.36 This is a pure equality problem
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Options Used:
% 0.73/1.36
% 0.73/1.36 useres = 1
% 0.73/1.36 useparamod = 1
% 0.73/1.36 useeqrefl = 1
% 0.73/1.36 useeqfact = 1
% 0.73/1.36 usefactor = 1
% 0.73/1.36 usesimpsplitting = 0
% 0.73/1.36 usesimpdemod = 5
% 0.73/1.36 usesimpres = 3
% 0.73/1.36
% 0.73/1.36 resimpinuse = 1000
% 0.73/1.36 resimpclauses = 20000
% 0.73/1.36 substype = eqrewr
% 0.73/1.36 backwardsubs = 1
% 0.73/1.36 selectoldest = 5
% 0.73/1.36
% 0.73/1.36 litorderings [0] = split
% 0.73/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.36
% 0.73/1.36 termordering = kbo
% 0.73/1.36
% 0.73/1.36 litapriori = 0
% 0.73/1.36 termapriori = 1
% 0.73/1.36 litaposteriori = 0
% 0.73/1.36 termaposteriori = 0
% 0.73/1.36 demodaposteriori = 0
% 0.73/1.36 ordereqreflfact = 0
% 0.73/1.36
% 0.73/1.36 litselect = negord
% 0.73/1.36
% 0.73/1.36 maxweight = 15
% 0.73/1.36 maxdepth = 30000
% 0.73/1.36 maxlength = 115
% 0.73/1.36 maxnrvars = 195
% 0.73/1.36 excuselevel = 1
% 0.73/1.36 increasemaxweight = 1
% 0.73/1.36
% 0.73/1.36 maxselected = 10000000
% 0.73/1.36 maxnrclauses = 10000000
% 0.73/1.36
% 0.73/1.36 showgenerated = 0
% 0.73/1.36 showkept = 0
% 0.73/1.36 showselected = 0
% 0.73/1.36 showdeleted = 0
% 0.73/1.36 showresimp = 1
% 0.73/1.36 showstatus = 2000
% 0.73/1.36
% 0.73/1.36 prologoutput = 0
% 0.73/1.36 nrgoals = 5000000
% 0.73/1.36 totalproof = 1
% 0.73/1.36
% 0.73/1.36 Symbols occurring in the translation:
% 0.73/1.36
% 0.73/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.36 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.36 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.73/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.36 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.73/1.36 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.36 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.36 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.36 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.36 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.36 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.36 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.36 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Starting Search:
% 0.73/1.36
% 0.73/1.36 *** allocated 15000 integers for clauses
% 0.73/1.36 *** allocated 22500 integers for clauses
% 0.73/1.36 *** allocated 33750 integers for clauses
% 0.73/1.36 *** allocated 50625 integers for clauses
% 0.73/1.36 *** allocated 75937 integers for clauses
% 0.73/1.36 *** allocated 113905 integers for clauses
% 0.73/1.36 *** allocated 15000 integers for termspace/termends
% 0.73/1.36 *** allocated 170857 integers for clauses
% 0.73/1.36 Resimplifying inuse:
% 0.73/1.36 Done
% 0.73/1.36
% 0.73/1.36 *** allocated 22500 integers for termspace/termends
% 0.73/1.36 *** allocated 256285 integers for clauses
% 0.73/1.36 *** allocated 33750 integers for termspace/termends
% 0.73/1.36
% 0.73/1.36 Intermediate Status:
% 0.73/1.36 Generated: 23622
% 0.73/1.36 Kept: 2002
% 0.73/1.36 Inuse: 278
% 0.73/1.36 Deleted: 162
% 0.73/1.36 Deletedinuse: 50
% 0.73/1.36
% 0.73/1.36 Resimplifying inuse:
% 0.73/1.36 Done
% 0.73/1.36
% 0.73/1.36 *** allocated 384427 integers for clauses
% 0.73/1.36 *** allocated 50625 integers for termspace/termends
% 0.73/1.36 Resimplifying inuse:
% 0.73/1.36 Done
% 0.73/1.36
% 0.73/1.36 *** allocated 576640 integers for clauses
% 0.73/1.36
% 0.73/1.36 Bliksems!, er is een bewijs:
% 0.73/1.36 % SZS status Theorem
% 0.73/1.36 % SZS output start Refutation
% 0.73/1.36
% 0.73/1.36 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.73/1.36 , Z ) }.
% 0.73/1.36 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.73/1.36 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.36 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.73/1.36 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 0.73/1.36 composition( composition( X, Y ), Z ) }.
% 0.73/1.36 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.73/1.36 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.73/1.36 ) ==> composition( join( X, Y ), Z ) }.
% 0.73/1.36 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.73/1.36 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.73/1.36 converse( join( X, Y ) ) }.
% 0.73/1.36 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.73/1.36 ==> converse( composition( X, Y ) ) }.
% 0.73/1.36 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.73/1.36 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.73/1.36 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.73/1.36 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.73/1.36 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 0.73/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.73/1.36 ) ) ) }.
% 0.73/1.36 (16) {G0,W10,D5,L1,V1,M1} I { meet( composition( skol1, X ), composition(
% 0.73/1.36 skol1, complement( X ) ) ) ==> zero }.
% 0.73/1.36 (17) {G0,W8,D5,L1,V0,M1} I { ! join( composition( converse( skol1 ), skol1
% 0.73/1.36 ), one ) ==> one }.
% 0.73/1.36 (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.73/1.36 (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.73/1.36 join( Z, X ), Y ) }.
% 0.73/1.36 (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.73/1.36 ==> join( Y, top ) }.
% 0.73/1.36 (24) {G1,W8,D5,L1,V0,M1} P(0,17) { ! join( one, composition( converse(
% 0.73/1.36 skol1 ), skol1 ) ) ==> one }.
% 0.73/1.36 (28) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ), complement( Y ) )
% 0.73/1.36 ==> join( X, top ) }.
% 0.73/1.36 (29) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement( complement( X )
% 0.73/1.36 ) ) ==> join( X, top ) }.
% 0.73/1.36 (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.73/1.36 ( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.36 (31) {G3,W9,D5,L1,V1,M1} P(29,0) { join( complement( complement( X ) ), top
% 0.73/1.36 ) ==> join( X, top ) }.
% 0.73/1.36 (39) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.73/1.36 ) ) ==> composition( converse( Y ), X ) }.
% 0.73/1.36 (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.73/1.36 (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.73/1.36 (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero, complement( X )
% 0.73/1.36 ) ) ==> meet( top, X ) }.
% 0.73/1.36 (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( complement( X ), zero
% 0.73/1.36 ) ) ==> meet( X, top ) }.
% 0.73/1.36 (56) {G2,W5,D3,L1,V0,M1} P(49,18) { join( zero, top ) ==> top }.
% 0.73/1.36 (59) {G3,W9,D4,L1,V1,M1} P(56,1) { join( join( X, zero ), top ) ==> join( X
% 0.73/1.36 , top ) }.
% 0.73/1.36 (76) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.73/1.36 join( X, converse( Y ) ) }.
% 0.73/1.36 (99) {G2,W11,D6,L1,V1,M1} P(49,10) { join( composition( converse( X ),
% 0.73/1.36 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.73/1.36 (118) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet( composition( X, Y )
% 0.73/1.36 , Z ), top ) ==> top }.
% 0.73/1.36 (123) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition( converse( X )
% 0.73/1.36 , Y ), Z ), composition( meet( converse( X ), composition( Z, converse( Y
% 0.73/1.36 ) ) ), meet( Y, composition( X, Z ) ) ) ) ==> composition( meet(
% 0.73/1.36 converse( X ), composition( Z, converse( Y ) ) ), meet( Y, composition( X
% 0.73/1.36 , Z ) ) ) }.
% 0.73/1.36 (132) {G3,W7,D4,L1,V2,M1} P(5,118) { join( meet( X, Y ), top ) ==> top }.
% 0.73/1.36 (134) {G4,W10,D5,L1,V2,M1} P(132,28) { join( top, complement( meet( X, Y )
% 0.73/1.36 ) ) ==> join( top, top ) }.
% 0.73/1.36 (157) {G5,W8,D4,L1,V1,M1} P(51,29);d(134);d(59) { join( complement( X ),
% 0.73/1.36 top ) ==> join( top, top ) }.
% 0.73/1.36 (162) {G6,W5,D3,L1,V0,M1} P(51,157);d(132) { join( top, top ) ==> top }.
% 0.73/1.36 (165) {G7,W5,D3,L1,V1,M1} P(157,31);d(162) { join( X, top ) ==> top }.
% 0.73/1.36 (176) {G8,W5,D3,L1,V1,M1} P(165,0) { join( top, X ) ==> top }.
% 0.73/1.36 (187) {G1,W8,D5,L1,V0,M1} P(5,16) { meet( skol1, composition( skol1,
% 0.73/1.36 complement( one ) ) ) ==> zero }.
% 0.73/1.36 (215) {G8,W7,D4,L1,V1,M1} P(165,76) { join( X, converse( top ) ) ==>
% 0.73/1.36 converse( top ) }.
% 0.73/1.36 (221) {G9,W4,D3,L1,V0,M1} P(215,176) { converse( top ) ==> top }.
% 0.73/1.36 (282) {G2,W6,D4,L1,V1,M1} P(5,39);d(7) { composition( converse( one ), X )
% 0.73/1.36 ==> X }.
% 0.73/1.36 (289) {G3,W4,D3,L1,V0,M1} P(282,5) { converse( one ) ==> one }.
% 0.73/1.36 (290) {G4,W5,D3,L1,V1,M1} P(289,282) { composition( one, X ) ==> X }.
% 0.73/1.36 (295) {G5,W8,D4,L1,V1,M1} P(290,10);d(282) { join( complement( X ),
% 0.73/1.36 complement( X ) ) ==> complement( X ) }.
% 0.73/1.36 (304) {G6,W7,D4,L1,V1,M1} P(295,3) { complement( complement( X ) ) = meet(
% 0.73/1.36 X, X ) }.
% 0.73/1.36 (327) {G7,W7,D5,L1,V1,M1} P(304,30);d(18);d(49) { join( complement(
% 0.73/1.36 complement( X ) ), zero ) ==> X }.
% 0.73/1.36 (332) {G10,W7,D4,L1,V1,M1} P(215,30);d(221);d(49) { join( meet( X, top ),
% 0.73/1.36 zero ) ==> X }.
% 0.73/1.36 (350) {G2,W7,D4,L1,V1,M1} P(18,30);d(49) { join( meet( X, X ), zero ) ==> X
% 0.73/1.36 }.
% 0.73/1.36 (355) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X, X ) ) ==> X
% 0.73/1.36 }.
% 0.73/1.36 (361) {G11,W7,D4,L1,V1,M1} P(47,332) { join( meet( top, X ), zero ) ==> X
% 0.73/1.36 }.
% 0.73/1.36 (362) {G11,W6,D4,L1,V1,M1} P(332,21);d(165) { join( X, complement( zero ) )
% 0.73/1.36 ==> top }.
% 0.73/1.36 (366) {G12,W5,D3,L1,V1,M1} P(362,3);d(49) { meet( X, zero ) ==> zero }.
% 0.73/1.36 (375) {G12,W7,D4,L1,V1,M1} P(361,0) { join( zero, meet( top, X ) ) ==> X
% 0.73/1.36 }.
% 0.73/1.36 (383) {G13,W7,D4,L1,V1,M1} P(327,30);d(366) { join( zero, complement( X ) )
% 0.73/1.36 ==> complement( X ) }.
% 0.73/1.36 (393) {G14,W5,D3,L1,V1,M1} P(304,383);d(355) { meet( X, X ) ==> X }.
% 0.73/1.36 (398) {G14,W7,D4,L1,V1,M1} P(383,50) { meet( top, X ) ==> complement(
% 0.73/1.36 complement( X ) ) }.
% 0.73/1.36 (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement( complement
% 0.73/1.36 ( X ) ) ==> X }.
% 0.73/1.36 (403) {G15,W5,D3,L1,V1,M1} P(393,355) { join( zero, X ) ==> X }.
% 0.73/1.36 (404) {G15,W5,D3,L1,V1,M1} P(393,350) { join( X, zero ) ==> X }.
% 0.73/1.36 (412) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( X, complement( Y )
% 0.73/1.36 ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.36 (413) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( complement( Y ), X
% 0.73/1.36 ) ) ==> meet( Y, complement( X ) ) }.
% 0.73/1.36 (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ), complement( Y
% 0.73/1.36 ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.36 (424) {G16,W5,D3,L1,V1,M1} S(398);d(399) { meet( top, X ) ==> X }.
% 0.73/1.36 (629) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet( complement( X )
% 0.73/1.36 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.36 (630) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet( Y, complement( X
% 0.73/1.36 ) ) ) ==> join( complement( Y ), X ) }.
% 0.73/1.36 (637) {G17,W9,D4,L1,V2,M1} P(414,0);d(414) { complement( meet( X, Y ) ) =
% 0.73/1.36 complement( meet( Y, X ) ) }.
% 0.73/1.36 (682) {G18,W10,D5,L1,V2,M1} P(637,11) { join( meet( X, Y ), complement(
% 0.73/1.36 meet( Y, X ) ) ) ==> top }.
% 0.73/1.36 (683) {G18,W10,D5,L1,V2,M1} P(637,12) { meet( meet( X, Y ), complement(
% 0.73/1.36 meet( Y, X ) ) ) ==> zero }.
% 0.73/1.36 (1022) {G17,W10,D5,L1,V2,M1} S(30);d(413) { join( meet( X, Y ), meet( X,
% 0.73/1.36 complement( Y ) ) ) ==> X }.
% 0.73/1.36 (1040) {G18,W10,D5,L1,V2,M1} P(47,1022) { join( meet( Y, X ), meet( X,
% 0.73/1.36 complement( Y ) ) ) ==> X }.
% 0.73/1.36 (1066) {G19,W10,D5,L1,V2,M1} P(1040,0) { join( meet( Y, complement( X ) ),
% 0.73/1.36 meet( X, Y ) ) ==> Y }.
% 0.73/1.36 (1213) {G17,W10,D4,L1,V2,M1} P(399,412) { meet( complement( Y ), complement
% 0.73/1.36 ( X ) ) ==> complement( join( Y, X ) ) }.
% 0.73/1.36 (1216) {G17,W14,D6,L1,V3,M1} P(20,412) { complement( join( join( X,
% 0.73/1.36 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 0.73/1.36 (1232) {G19,W10,D5,L1,V2,M1} P(1213,683);d(1213);d(1213);d(412) { meet(
% 0.73/1.36 complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 0.73/1.36 (1455) {G16,W9,D5,L1,V1,M1} S(99);d(404) { composition( converse( X ),
% 0.73/1.36 complement( composition( X, top ) ) ) ==> zero }.
% 0.73/1.36 (1467) {G17,W8,D5,L1,V0,M1} P(221,1455) { composition( top, complement(
% 0.73/1.36 composition( top, top ) ) ) ==> zero }.
% 0.73/1.36 (1472) {G18,W8,D5,L1,V1,M1} P(1467,6);d(404);d(165);d(1467) { composition(
% 0.73/1.36 X, complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.36 (1473) {G19,W5,D3,L1,V1,M1} P(1467,4);d(1472) { composition( X, zero ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 (2258) {G20,W9,D5,L1,V0,M1} P(187,123);d(1473);d(404) { meet( composition(
% 0.73/1.36 converse( skol1 ), skol1 ), complement( one ) ) ==> zero }.
% 0.73/1.36 (2266) {G21,W9,D6,L1,V0,M1} P(2258,682);d(403);d(629) { join( one,
% 0.73/1.36 complement( composition( converse( skol1 ), skol1 ) ) ) ==> top }.
% 0.73/1.36 (3095) {G20,W10,D6,L1,V2,M1} P(414,1232);d(1213);d(1216);d(413) { meet(
% 0.73/1.36 meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 0.73/1.36 (3600) {G21,W10,D5,L1,V2,M1} P(3095,1066);d(404);d(630) { meet( Y, join(
% 0.73/1.36 complement( X ), meet( Y, X ) ) ) ==> Y }.
% 0.73/1.36 (3632) {G22,W10,D5,L1,V2,M1} P(0,3600) { meet( Y, join( meet( Y, X ),
% 0.73/1.36 complement( X ) ) ) ==> Y }.
% 0.73/1.36 (3730) {G23,W10,D6,L1,V2,M1} P(3632,629);d(399);d(412);d(629) { join( X,
% 0.73/1.36 meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 0.73/1.36 (3762) {G24,W0,D0,L0,V0,M0} P(2266,3730);d(424);r(24) { }.
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 % SZS output end Refutation
% 0.73/1.36 found a proof!
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Unprocessed initial clauses:
% 0.73/1.36
% 0.73/1.36 (3764) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 (3765) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.73/1.36 , Z ) }.
% 0.73/1.36 (3766) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.36 (3767) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 0.73/1.36 ( X ), complement( Y ) ) ) }.
% 0.73/1.36 (3768) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.73/1.36 composition( composition( X, Y ), Z ) }.
% 0.73/1.36 (3769) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.73/1.36 (3770) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.73/1.36 composition( X, Z ), composition( Y, Z ) ) }.
% 0.73/1.36 (3771) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.73/1.36 (3772) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.73/1.36 ), converse( Y ) ) }.
% 0.73/1.36 (3773) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.73/1.36 composition( converse( Y ), converse( X ) ) }.
% 0.73/1.36 (3774) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.73/1.36 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.73/1.36 (3775) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.73/1.36 (3776) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.73/1.36 (3777) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 0.73/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.73/1.36 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.73/1.36 (3778) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.73/1.36 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 0.73/1.36 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.73/1.36 }.
% 0.73/1.36 (3779) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.73/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 0.73/1.36 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.73/1.36 }.
% 0.73/1.36 (3780) {G0,W10,D5,L1,V1,M1} { meet( composition( skol1, X ), composition(
% 0.73/1.36 skol1, complement( X ) ) ) = zero }.
% 0.73/1.36 (3781) {G0,W8,D5,L1,V0,M1} { ! join( composition( converse( skol1 ), skol1
% 0.73/1.36 ), one ) = one }.
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 Total Proof:
% 0.73/1.36
% 0.73/1.36 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent0: (3764) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.73/1.36 ( join( X, Y ), Z ) }.
% 0.73/1.36 parent0: (3765) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 0.73/1.36 join( X, Y ), Z ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3784) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.73/1.36 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.73/1.36 }.
% 0.73/1.36 parent0[0]: (3766) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.73/1.36 Y ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.73/1.36 Y ) ) ) ==> X }.
% 0.73/1.36 parent0: (3784) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.73/1.36 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 0.73/1.36 X }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3787) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.73/1.36 complement( Y ) ) ) = meet( X, Y ) }.
% 0.73/1.36 parent0[0]: (3767) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 0.73/1.36 ( complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 parent0: (3787) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.73/1.36 complement( Y ) ) ) = meet( X, Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.73/1.36 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.73/1.36 parent0: (3768) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z )
% 0.73/1.36 ) = composition( composition( X, Y ), Z ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.73/1.36 parent0: (3769) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3802) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.73/1.36 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.73/1.36 parent0[0]: (3770) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.73/1.36 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.73/1.36 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.73/1.36 parent0: (3802) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.73/1.36 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.73/1.36 }.
% 0.73/1.36 parent0: (3771) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3817) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.73/1.36 = converse( join( X, Y ) ) }.
% 0.73/1.36 parent0[0]: (3772) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 0.73/1.36 ( converse( X ), converse( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.73/1.36 ) ) ==> converse( join( X, Y ) ) }.
% 0.73/1.36 parent0: (3817) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 0.73/1.36 ) = converse( join( X, Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3826) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.73/1.36 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.73/1.36 parent0[0]: (3773) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 0.73/1.36 = composition( converse( Y ), converse( X ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.73/1.36 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.73/1.36 parent0: (3826) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 0.73/1.36 converse( X ) ) = converse( composition( X, Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.73/1.36 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.73/1.36 Y ) }.
% 0.73/1.36 parent0: (3774) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.73/1.36 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3847) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.73/1.36 parent0[0]: (3775) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.73/1.36 top }.
% 0.73/1.36 parent0: (3847) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3859) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.73/1.36 parent0[0]: (3776) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent0: (3859) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.73/1.36 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.73/1.36 ) ) ) }.
% 0.73/1.36 parent0: (3777) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.73/1.36 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.73/1.36 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (16) {G0,W10,D5,L1,V1,M1} I { meet( composition( skol1, X ),
% 0.73/1.36 composition( skol1, complement( X ) ) ) ==> zero }.
% 0.73/1.36 parent0: (3780) {G0,W10,D5,L1,V1,M1} { meet( composition( skol1, X ),
% 0.73/1.36 composition( skol1, complement( X ) ) ) = zero }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (17) {G0,W8,D5,L1,V0,M1} I { ! join( composition( converse(
% 0.73/1.36 skol1 ), skol1 ), one ) ==> one }.
% 0.73/1.36 parent0: (3781) {G0,W8,D5,L1,V0,M1} { ! join( composition( converse( skol1
% 0.73/1.36 ), skol1 ), one ) = one }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3906) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.73/1.36 }.
% 0.73/1.36 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3907) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.73/1.36 }.
% 0.73/1.36 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent1[0; 2]: (3906) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.73/1.36 ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := complement( X )
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3910) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent0[0]: (3907) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 0.73/1.36 ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.73/1.36 ==> top }.
% 0.73/1.36 parent0: (3910) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3911) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.73/1.36 , join( Y, Z ) ) }.
% 0.73/1.36 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.73/1.36 join( X, Y ), Z ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3916) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.73/1.36 , join( Z, Y ) ) }.
% 0.73/1.36 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent1[0; 8]: (3911) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.73/1.36 join( X, join( Y, Z ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := Z
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3929) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.73/1.36 join( X, Z ), Y ) }.
% 0.73/1.36 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.73/1.36 join( X, Y ), Z ) }.
% 0.73/1.36 parent1[0; 6]: (3916) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.73/1.36 join( X, join( Z, Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Z
% 0.73/1.36 Z := Y
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.73/1.36 ) = join( join( Z, X ), Y ) }.
% 0.73/1.36 parent0: (3929) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.73/1.36 join( X, Z ), Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Z
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3931) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.73/1.36 , join( Y, Z ) ) }.
% 0.73/1.36 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.73/1.36 join( X, Y ), Z ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3934) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.73/1.36 ) ==> join( X, top ) }.
% 0.73/1.36 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent1[0; 9]: (3931) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.73/1.36 join( X, join( Y, Z ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := complement( Y )
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.73/1.36 complement( X ) ) ==> join( Y, top ) }.
% 0.73/1.36 parent0: (3934) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.73/1.36 ) ==> join( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3938) {G0,W8,D5,L1,V0,M1} { ! one ==> join( composition( converse
% 0.73/1.36 ( skol1 ), skol1 ), one ) }.
% 0.73/1.36 parent0[0]: (17) {G0,W8,D5,L1,V0,M1} I { ! join( composition( converse(
% 0.73/1.36 skol1 ), skol1 ), one ) ==> one }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3939) {G1,W8,D5,L1,V0,M1} { ! one ==> join( one, composition(
% 0.73/1.36 converse( skol1 ), skol1 ) ) }.
% 0.73/1.36 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent1[0; 3]: (3938) {G0,W8,D5,L1,V0,M1} { ! one ==> join( composition(
% 0.73/1.36 converse( skol1 ), skol1 ), one ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := composition( converse( skol1 ), skol1 )
% 0.73/1.36 Y := one
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3942) {G1,W8,D5,L1,V0,M1} { ! join( one, composition( converse(
% 0.73/1.36 skol1 ), skol1 ) ) ==> one }.
% 0.73/1.36 parent0[0]: (3939) {G1,W8,D5,L1,V0,M1} { ! one ==> join( one, composition
% 0.73/1.36 ( converse( skol1 ), skol1 ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (24) {G1,W8,D5,L1,V0,M1} P(0,17) { ! join( one, composition(
% 0.73/1.36 converse( skol1 ), skol1 ) ) ==> one }.
% 0.73/1.36 parent0: (3942) {G1,W8,D5,L1,V0,M1} { ! join( one, composition( converse(
% 0.73/1.36 skol1 ), skol1 ) ) ==> one }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3943) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.73/1.36 ), complement( Y ) ) }.
% 0.73/1.36 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.73/1.36 complement( X ) ) ==> join( Y, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3946) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.73/1.36 ), complement( Y ) ) }.
% 0.73/1.36 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent1[0; 5]: (3943) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.73/1.36 ( X, Y ), complement( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3959) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.73/1.36 ) ==> join( X, top ) }.
% 0.73/1.36 parent0[0]: (3946) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.73/1.36 , X ), complement( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (28) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.73/1.36 complement( Y ) ) ==> join( X, top ) }.
% 0.73/1.36 parent0: (3959) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.73/1.36 ) ==> join( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3961) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.73/1.36 ), complement( Y ) ) }.
% 0.73/1.36 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.73/1.36 complement( X ) ) ==> join( Y, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3962) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.73/1.36 complement( complement( X ) ) ) }.
% 0.73/1.36 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent1[0; 5]: (3961) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.73/1.36 ( X, Y ), complement( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := complement( X )
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3963) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.73/1.36 ) ) ) ==> join( X, top ) }.
% 0.73/1.36 parent0[0]: (3962) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.73/1.36 complement( complement( X ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (29) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.73/1.36 complement( X ) ) ) ==> join( X, top ) }.
% 0.73/1.36 parent0: (3963) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.73/1.36 ) ) ) ==> join( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3966) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.73/1.36 join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.36 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.73/1.36 Y ) ) ) ==> X }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.36 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.36 parent0: (3966) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.73/1.36 join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3968) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.73/1.36 complement( complement( X ) ) ) }.
% 0.73/1.36 parent0[0]: (29) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.73/1.36 complement( X ) ) ) ==> join( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3970) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 0.73/1.36 ( complement( X ) ), top ) }.
% 0.73/1.36 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent1[0; 4]: (3968) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.73/1.36 complement( complement( X ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := top
% 0.73/1.36 Y := complement( complement( X ) )
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3976) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.73/1.36 top ) ==> join( X, top ) }.
% 0.73/1.36 parent0[0]: (3970) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.73/1.36 complement( complement( X ) ), top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (31) {G3,W9,D5,L1,V1,M1} P(29,0) { join( complement(
% 0.73/1.36 complement( X ) ), top ) ==> join( X, top ) }.
% 0.73/1.36 parent0: (3976) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 0.73/1.36 , top ) ==> join( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3978) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.73/1.36 composition( converse( X ), converse( Y ) ) }.
% 0.73/1.36 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.73/1.36 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3980) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.73/1.36 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.73/1.36 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.73/1.36 parent1[0; 9]: (3978) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.73/1.36 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := converse( X )
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (39) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.73/1.36 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.73/1.36 parent0: (3980) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.73/1.36 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3983) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3985) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.36 complement( Y ), complement( X ) ) ) }.
% 0.73/1.36 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.36 parent1[0; 5]: (3983) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.36 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := complement( X )
% 0.73/1.36 Y := complement( Y )
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3987) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.73/1.36 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 parent1[0; 4]: (3985) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.36 join( complement( Y ), complement( X ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.73/1.36 , Y ) }.
% 0.73/1.36 parent0: (3987) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3989) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3992) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.73/1.36 complement( top ) }.
% 0.73/1.36 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent1[0; 6]: (3989) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.36 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := complement( X )
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := complement( X )
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3993) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.73/1.36 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent1[0; 1]: (3992) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.73/1.36 complement( top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3994) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.73/1.36 parent0[0]: (3993) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent0: (3994) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3996) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (3997) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 0.73/1.36 ( zero, complement( X ) ) ) }.
% 0.73/1.36 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent1[0; 6]: (3996) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.36 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := top
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (3999) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.73/1.36 ) ) ) ==> meet( top, X ) }.
% 0.73/1.36 parent0[0]: (3997) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.73/1.36 join( zero, complement( X ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero,
% 0.73/1.36 complement( X ) ) ) ==> meet( top, X ) }.
% 0.73/1.36 parent0: (3999) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 0.73/1.36 X ) ) ) ==> meet( top, X ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4002) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.36 complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.36 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4004) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 0.73/1.36 ( complement( X ), zero ) ) }.
% 0.73/1.36 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent1[0; 8]: (4002) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.36 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := top
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4006) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.73/1.36 zero ) ) ==> meet( X, top ) }.
% 0.73/1.36 parent0[0]: (4004) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.73/1.36 join( complement( X ), zero ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join(
% 0.73/1.36 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.73/1.36 parent0: (4006) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.73/1.36 zero ) ) ==> meet( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4008) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.73/1.36 }.
% 0.73/1.36 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.73/1.36 ==> top }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4009) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.73/1.36 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent1[0; 3]: (4008) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.73/1.36 , X ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := top
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4010) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.73/1.36 parent0[0]: (4009) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (56) {G2,W5,D3,L1,V0,M1} P(49,18) { join( zero, top ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent0: (4010) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4012) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.73/1.36 , join( Y, Z ) ) }.
% 0.73/1.36 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.73/1.36 join( X, Y ), Z ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4014) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.73/1.36 join( X, top ) }.
% 0.73/1.36 parent0[0]: (56) {G2,W5,D3,L1,V0,M1} P(49,18) { join( zero, top ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent1[0; 8]: (4012) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.73/1.36 join( X, join( Y, Z ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := zero
% 0.73/1.36 Z := top
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (59) {G3,W9,D4,L1,V1,M1} P(56,1) { join( join( X, zero ), top
% 0.73/1.36 ) ==> join( X, top ) }.
% 0.73/1.36 parent0: (4014) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.73/1.36 join( X, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4018) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.73/1.36 converse( X ), converse( Y ) ) }.
% 0.73/1.36 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.73/1.36 ) ==> converse( join( X, Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4019) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.73/1.36 ) ==> join( X, converse( Y ) ) }.
% 0.73/1.36 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.73/1.36 parent1[0; 7]: (4018) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.73/1.36 join( converse( X ), converse( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := converse( X )
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (76) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.73/1.36 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.73/1.36 parent0: (4019) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.73/1.36 ) ==> join( X, converse( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4024) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.73/1.36 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.73/1.36 complement( Y ) ) }.
% 0.73/1.36 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.73/1.36 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.73/1.36 Y ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4026) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.73/1.36 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.73/1.36 }.
% 0.73/1.36 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent1[0; 11]: (4024) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.73/1.36 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.73/1.36 complement( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := top
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4027) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.73/1.36 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.73/1.36 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.36 zero }.
% 0.73/1.36 parent1[0; 1]: (4026) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.73/1.36 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.73/1.36 }.
% 0.73/1.36 substitution0:
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4029) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.73/1.36 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.73/1.36 parent0[0]: (4027) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.73/1.36 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (99) {G2,W11,D6,L1,V1,M1} P(49,10) { join( composition(
% 0.73/1.36 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.73/1.36 parent0: (4029) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.73/1.36 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 eqswap: (4032) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.73/1.36 ), complement( Y ) ) }.
% 0.73/1.36 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.73/1.36 complement( X ) ) ==> join( Y, top ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := Y
% 0.73/1.36 Y := X
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4034) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.73/1.36 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 0.73/1.36 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 0.73/1.36 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.73/1.36 converse( X ), Z ) ) ) ) ) }.
% 0.73/1.36 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.73/1.36 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.73/1.36 ) ) ) }.
% 0.73/1.36 parent1[0; 9]: (4032) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.73/1.36 ( X, Y ), complement( Y ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := meet( composition( X, Y ), Z )
% 0.73/1.36 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) )
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4035) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.73/1.36 , top ) ==> top }.
% 0.73/1.36 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.73/1.36 }.
% 0.73/1.36 parent1[0; 8]: (4034) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y
% 0.73/1.36 ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse(
% 0.73/1.36 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 0.73/1.36 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) )
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 subsumption: (118) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet(
% 0.73/1.36 composition( X, Y ), Z ), top ) ==> top }.
% 0.73/1.36 parent0: (4035) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.73/1.36 , top ) ==> top }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36 permutation0:
% 0.73/1.36 0 ==> 0
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 *** allocated 75937 integers for termspace/termends
% 0.73/1.36 eqswap: (4038) {G0,W33,D7,L1,V3,M1} { composition( meet( X, composition( Z
% 0.73/1.36 , converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ==>
% 0.73/1.36 join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.73/1.36 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) }.
% 0.73/1.36 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.73/1.36 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.36 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.73/1.36 ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 Y := Y
% 0.73/1.36 Z := Z
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4042) {G1,W36,D7,L1,V3,M1} { composition( meet( converse( X ),
% 0.73/1.36 composition( Y, converse( Z ) ) ), meet( Z, composition( converse(
% 0.73/1.36 converse( X ) ), Y ) ) ) ==> join( meet( composition( converse( X ), Z )
% 0.73/1.36 , Y ), composition( meet( converse( X ), composition( Y, converse( Z ) )
% 0.73/1.36 ), meet( Z, composition( X, Y ) ) ) ) }.
% 0.73/1.36 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.73/1.36 parent1[0; 34]: (4038) {G0,W33,D7,L1,V3,M1} { composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.73/1.36 ) ) ) ==> join( meet( composition( X, Y ), Z ), composition( meet( X,
% 0.73/1.36 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.73/1.36 ) ) ) ) }.
% 0.73/1.36 substitution0:
% 0.73/1.36 X := X
% 0.73/1.36 end
% 0.73/1.36 substitution1:
% 0.73/1.36 X := converse( X )
% 0.73/1.36 Y := Z
% 0.73/1.36 Z := Y
% 0.73/1.36 end
% 0.73/1.36
% 0.73/1.36 paramod: (4043) {G1,W34,D7,L1,V3,M1} { composition( meet( converse( X ),
% 0.73/1.36 composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ==>
% 0.73/1.36 join( meet( composition( converse( X ), Z ), Y ), composition( meet(
% 0.73/1.36 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.73/1.36 , Y ) ) ) ) }.
% 0.73/1.36 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 12]: (4042) {G1,W36,D7,L1,V3,M1} { composition( meet( converse
% 0.73/1.37 ( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( converse
% 0.73/1.37 ( converse( X ) ), Y ) ) ) ==> join( meet( composition( converse( X ), Z
% 0.73/1.37 ), Y ), composition( meet( converse( X ), composition( Y, converse( Z )
% 0.73/1.37 ) ), meet( Z, composition( X, Y ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4049) {G1,W34,D7,L1,V3,M1} { join( meet( composition( converse( X
% 0.73/1.37 ), Z ), Y ), composition( meet( converse( X ), composition( Y, converse
% 0.73/1.37 ( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ==> composition( meet(
% 0.73/1.37 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.73/1.37 , Y ) ) ) }.
% 0.73/1.37 parent0[0]: (4043) {G1,W34,D7,L1,V3,M1} { composition( meet( converse( X )
% 0.73/1.37 , composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ==>
% 0.73/1.37 join( meet( composition( converse( X ), Z ), Y ), composition( meet(
% 0.73/1.37 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.73/1.37 , Y ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (123) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition(
% 0.73/1.37 converse( X ), Y ), Z ), composition( meet( converse( X ), composition( Z
% 0.73/1.37 , converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ==> composition(
% 0.73/1.37 meet( converse( X ), composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.37 composition( X, Z ) ) ) }.
% 0.73/1.37 parent0: (4049) {G1,W34,D7,L1,V3,M1} { join( meet( composition( converse(
% 0.73/1.37 X ), Z ), Y ), composition( meet( converse( X ), composition( Y, converse
% 0.73/1.37 ( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ==> composition( meet(
% 0.73/1.37 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.73/1.37 , Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Z
% 0.73/1.37 Z := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4052) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X, Y
% 0.73/1.37 ), Z ), top ) }.
% 0.73/1.37 parent0[0]: (118) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet(
% 0.73/1.37 composition( X, Y ), Z ), top ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4053) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.73/1.37 parent1[0; 4]: (4052) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 0.73/1.37 composition( X, Y ), Z ), top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := one
% 0.73/1.37 Z := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4054) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.73/1.37 parent0[0]: (4053) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (132) {G3,W7,D4,L1,V2,M1} P(5,118) { join( meet( X, Y ), top )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent0: (4054) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4056) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.73/1.37 ), complement( X ) ) }.
% 0.73/1.37 parent0[0]: (28) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.73/1.37 complement( Y ) ) ==> join( X, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4058) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.73/1.37 complement( meet( X, Y ) ) ) }.
% 0.73/1.37 parent0[0]: (132) {G3,W7,D4,L1,V2,M1} P(5,118) { join( meet( X, Y ), top )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent1[0; 5]: (4056) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.73/1.37 ( X, Y ), complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := meet( X, Y )
% 0.73/1.37 Y := top
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4060) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.73/1.37 ) ) ==> join( top, top ) }.
% 0.73/1.37 parent0[0]: (4058) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.73/1.37 complement( meet( X, Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (134) {G4,W10,D5,L1,V2,M1} P(132,28) { join( top, complement(
% 0.73/1.37 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.73/1.37 parent0: (4060) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.73/1.37 ) ) ==> join( top, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4062) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.73/1.37 complement( complement( X ) ) ) }.
% 0.73/1.37 parent0[0]: (29) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.73/1.37 complement( X ) ) ) ==> join( X, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4065) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.73/1.37 , top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.73/1.37 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( complement
% 0.73/1.37 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.73/1.37 parent1[0; 10]: (4062) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 0.73/1.37 , complement( complement( X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := join( complement( X ), zero )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4066) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.73/1.37 , top ) ==> join( top, top ) }.
% 0.73/1.37 parent0[0]: (134) {G4,W10,D5,L1,V2,M1} P(132,28) { join( top, complement(
% 0.73/1.37 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.73/1.37 parent1[0; 7]: (4065) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ),
% 0.73/1.37 zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := top
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4067) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.73/1.37 join( top, top ) }.
% 0.73/1.37 parent0[0]: (59) {G3,W9,D4,L1,V1,M1} P(56,1) { join( join( X, zero ), top )
% 0.73/1.37 ==> join( X, top ) }.
% 0.73/1.37 parent1[0; 1]: (4066) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ),
% 0.73/1.37 zero ), top ) ==> join( top, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (157) {G5,W8,D4,L1,V1,M1} P(51,29);d(134);d(59) { join(
% 0.73/1.37 complement( X ), top ) ==> join( top, top ) }.
% 0.73/1.37 parent0: (4067) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.73/1.37 join( top, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4070) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.73/1.37 ( X ), top ) }.
% 0.73/1.37 parent0[0]: (157) {G5,W8,D4,L1,V1,M1} P(51,29);d(134);d(59) { join(
% 0.73/1.37 complement( X ), top ) ==> join( top, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4072) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X,
% 0.73/1.37 top ), top ) }.
% 0.73/1.37 parent0[0]: (51) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( complement
% 0.73/1.37 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.73/1.37 parent1[0; 5]: (4070) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.73/1.37 complement( X ), top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := join( complement( X ), zero )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4073) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.73/1.37 parent0[0]: (132) {G3,W7,D4,L1,V2,M1} P(5,118) { join( meet( X, Y ), top )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent1[0; 4]: (4072) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.73/1.37 meet( X, top ), top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := top
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (162) {G6,W5,D3,L1,V0,M1} P(51,157);d(132) { join( top, top )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent0: (4073) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4075) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.73/1.37 ( X ), top ) }.
% 0.73/1.37 parent0[0]: (157) {G5,W8,D4,L1,V1,M1} P(51,29);d(134);d(59) { join(
% 0.73/1.37 complement( X ), top ) ==> join( top, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4078) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (31) {G3,W9,D5,L1,V1,M1} P(29,0) { join( complement( complement
% 0.73/1.37 ( X ) ), top ) ==> join( X, top ) }.
% 0.73/1.37 parent1[0; 4]: (4075) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.73/1.37 complement( X ), top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4079) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.73/1.37 parent0[0]: (162) {G6,W5,D3,L1,V0,M1} P(51,157);d(132) { join( top, top )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent1[0; 1]: (4078) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.73/1.37 top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4080) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.73/1.37 parent0[0]: (4079) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (165) {G7,W5,D3,L1,V1,M1} P(157,31);d(162) { join( X, top )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent0: (4080) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4081) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.73/1.37 parent0[0]: (165) {G7,W5,D3,L1,V1,M1} P(157,31);d(162) { join( X, top ) ==>
% 0.73/1.37 top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4082) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.73/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.37 parent1[0; 2]: (4081) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := top
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4085) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.73/1.37 parent0[0]: (4082) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (176) {G8,W5,D3,L1,V1,M1} P(165,0) { join( top, X ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 parent0: (4085) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4087) {G0,W10,D5,L1,V1,M1} { zero ==> meet( composition( skol1, X
% 0.73/1.37 ), composition( skol1, complement( X ) ) ) }.
% 0.73/1.37 parent0[0]: (16) {G0,W10,D5,L1,V1,M1} I { meet( composition( skol1, X ),
% 0.73/1.37 composition( skol1, complement( X ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4088) {G1,W8,D5,L1,V0,M1} { zero ==> meet( skol1, composition(
% 0.73/1.37 skol1, complement( one ) ) ) }.
% 0.73/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.73/1.37 parent1[0; 3]: (4087) {G0,W10,D5,L1,V1,M1} { zero ==> meet( composition(
% 0.73/1.37 skol1, X ), composition( skol1, complement( X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := skol1
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := one
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4089) {G1,W8,D5,L1,V0,M1} { meet( skol1, composition( skol1,
% 0.73/1.37 complement( one ) ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (4088) {G1,W8,D5,L1,V0,M1} { zero ==> meet( skol1, composition
% 0.73/1.37 ( skol1, complement( one ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (187) {G1,W8,D5,L1,V0,M1} P(5,16) { meet( skol1, composition(
% 0.73/1.37 skol1, complement( one ) ) ) ==> zero }.
% 0.73/1.37 parent0: (4089) {G1,W8,D5,L1,V0,M1} { meet( skol1, composition( skol1,
% 0.73/1.37 complement( one ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4091) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.73/1.37 converse( join( converse( X ), Y ) ) }.
% 0.73/1.37 parent0[0]: (76) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.73/1.37 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4092) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.73/1.37 converse( top ) }.
% 0.73/1.37 parent0[0]: (165) {G7,W5,D3,L1,V1,M1} P(157,31);d(162) { join( X, top ) ==>
% 0.73/1.37 top }.
% 0.73/1.37 parent1[0; 6]: (4091) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.73/1.37 converse( join( converse( X ), Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := converse( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := top
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (215) {G8,W7,D4,L1,V1,M1} P(165,76) { join( X, converse( top )
% 0.73/1.37 ) ==> converse( top ) }.
% 0.73/1.37 parent0: (4092) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.73/1.37 converse( top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4094) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X, converse
% 0.73/1.37 ( top ) ) }.
% 0.73/1.37 parent0[0]: (215) {G8,W7,D4,L1,V1,M1} P(165,76) { join( X, converse( top )
% 0.73/1.37 ) ==> converse( top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4096) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.73/1.37 parent0[0]: (176) {G8,W5,D3,L1,V1,M1} P(165,0) { join( top, X ) ==> top }.
% 0.73/1.37 parent1[0; 3]: (4094) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 0.73/1.37 converse( top ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := converse( top )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := top
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (221) {G9,W4,D3,L1,V0,M1} P(215,176) { converse( top ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 parent0: (4096) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4099) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.73/1.37 converse( composition( converse( X ), Y ) ) }.
% 0.73/1.37 parent0[0]: (39) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.73/1.37 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4102) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.73/1.37 ==> converse( converse( X ) ) }.
% 0.73/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.73/1.37 parent1[0; 6]: (4099) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.73/1.37 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := converse( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := one
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4103) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.73/1.37 ==> X }.
% 0.73/1.37 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 5]: (4102) {G1,W8,D4,L1,V1,M1} { composition( converse( one ),
% 0.73/1.37 X ) ==> converse( converse( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (282) {G2,W6,D4,L1,V1,M1} P(5,39);d(7) { composition( converse
% 0.73/1.37 ( one ), X ) ==> X }.
% 0.73/1.37 parent0: (4103) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.73/1.37 ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4105) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.73/1.37 ) }.
% 0.73/1.37 parent0[0]: (282) {G2,W6,D4,L1,V1,M1} P(5,39);d(7) { composition( converse
% 0.73/1.37 ( one ), X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4107) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.73/1.37 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.73/1.37 parent1[0; 2]: (4105) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.73/1.37 one ), X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := converse( one )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := one
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4108) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.73/1.37 parent0[0]: (4107) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (289) {G3,W4,D3,L1,V0,M1} P(282,5) { converse( one ) ==> one
% 0.73/1.37 }.
% 0.73/1.37 parent0: (4108) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4110) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.73/1.37 ) }.
% 0.73/1.37 parent0[0]: (282) {G2,W6,D4,L1,V1,M1} P(5,39);d(7) { composition( converse
% 0.73/1.37 ( one ), X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4111) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.73/1.37 parent0[0]: (289) {G3,W4,D3,L1,V0,M1} P(282,5) { converse( one ) ==> one
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 3]: (4110) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.73/1.37 one ), X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4112) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.73/1.37 parent0[0]: (4111) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (290) {G4,W5,D3,L1,V1,M1} P(289,282) { composition( one, X )
% 0.73/1.37 ==> X }.
% 0.73/1.37 parent0: (4112) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4114) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.73/1.37 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.73/1.37 complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.73/1.37 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.73/1.37 Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4116) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.73/1.37 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.73/1.37 parent0[0]: (290) {G4,W5,D3,L1,V1,M1} P(289,282) { composition( one, X )
% 0.73/1.37 ==> X }.
% 0.73/1.37 parent1[0; 8]: (4114) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.73/1.37 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.73/1.37 complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := one
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4117) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.73/1.37 ( X ), complement( X ) ) }.
% 0.73/1.37 parent0[0]: (282) {G2,W6,D4,L1,V1,M1} P(5,39);d(7) { composition( converse
% 0.73/1.37 ( one ), X ) ==> X }.
% 0.73/1.37 parent1[0; 4]: (4116) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.73/1.37 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4118) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.73/1.37 ) ) ==> complement( X ) }.
% 0.73/1.37 parent0[0]: (4117) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.73/1.37 complement( X ), complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (295) {G5,W8,D4,L1,V1,M1} P(290,10);d(282) { join( complement
% 0.73/1.37 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.73/1.37 parent0: (4118) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.73/1.37 ) ) ==> complement( X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4120) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.37 complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4135) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 parent0[0]: (295) {G5,W8,D4,L1,V1,M1} P(290,10);d(282) { join( complement(
% 0.73/1.37 X ), complement( X ) ) ==> complement( X ) }.
% 0.73/1.37 parent1[0; 5]: (4120) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4136) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.73/1.37 meet( X, X ) }.
% 0.73/1.37 parent0[0]: (4135) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (304) {G6,W7,D4,L1,V1,M1} P(295,3) { complement( complement( X
% 0.73/1.37 ) ) = meet( X, X ) }.
% 0.73/1.37 parent0: (4136) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.73/1.37 meet( X, X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4137) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement( complement
% 0.73/1.37 ( X ) ) }.
% 0.73/1.37 parent0[0]: (304) {G6,W7,D4,L1,V1,M1} P(295,3) { complement( complement( X
% 0.73/1.37 ) ) = meet( X, X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4138) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.73/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4141) {G2,W11,D6,L1,V1,M1} { X ==> join( complement( complement
% 0.73/1.37 ( X ) ), complement( join( complement( X ), X ) ) ) }.
% 0.73/1.37 parent0[0]: (4137) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 parent1[0; 3]: (4138) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4142) {G2,W8,D5,L1,V1,M1} { X ==> join( complement( complement(
% 0.73/1.37 X ) ), complement( top ) ) }.
% 0.73/1.37 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent1[0; 7]: (4141) {G2,W11,D6,L1,V1,M1} { X ==> join( complement(
% 0.73/1.37 complement( X ) ), complement( join( complement( X ), X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4143) {G2,W7,D5,L1,V1,M1} { X ==> join( complement( complement(
% 0.73/1.37 X ) ), zero ) }.
% 0.73/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 parent1[0; 6]: (4142) {G2,W8,D5,L1,V1,M1} { X ==> join( complement(
% 0.73/1.37 complement( X ) ), complement( top ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4144) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.73/1.37 zero ) ==> X }.
% 0.73/1.37 parent0[0]: (4143) {G2,W7,D5,L1,V1,M1} { X ==> join( complement(
% 0.73/1.37 complement( X ) ), zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (327) {G7,W7,D5,L1,V1,M1} P(304,30);d(18);d(49) { join(
% 0.73/1.37 complement( complement( X ) ), zero ) ==> X }.
% 0.73/1.37 parent0: (4144) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) )
% 0.73/1.37 , zero ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4146) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.73/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4149) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 0.73/1.37 ) ), complement( converse( top ) ) ) }.
% 0.73/1.37 parent0[0]: (215) {G8,W7,D4,L1,V1,M1} P(165,76) { join( X, converse( top )
% 0.73/1.37 ) ==> converse( top ) }.
% 0.73/1.37 parent1[0; 8]: (4146) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := converse( top )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4151) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.73/1.37 ), complement( top ) ) }.
% 0.73/1.37 parent0[0]: (221) {G9,W4,D3,L1,V0,M1} P(215,176) { converse( top ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 8]: (4149) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.73/1.37 ( top ) ), complement( converse( top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4152) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.73/1.37 complement( top ) ) }.
% 0.73/1.37 parent0[0]: (221) {G9,W4,D3,L1,V0,M1} P(215,176) { converse( top ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 5]: (4151) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.73/1.37 ( top ) ), complement( top ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4155) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 parent1[0; 6]: (4152) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.73/1.37 complement( top ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4156) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (4155) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.73/1.37 ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (332) {G10,W7,D4,L1,V1,M1} P(215,30);d(221);d(49) { join( meet
% 0.73/1.37 ( X, top ), zero ) ==> X }.
% 0.73/1.37 parent0: (4156) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4158) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.73/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4160) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.73/1.37 ( top ) ) }.
% 0.73/1.37 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.73/1.37 ==> top }.
% 0.73/1.37 parent1[0; 7]: (4158) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4161) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.73/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 parent1[0; 6]: (4160) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.73/1.37 complement( top ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4162) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.73/1.37 parent0[0]: (4161) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (350) {G2,W7,D4,L1,V1,M1} P(18,30);d(49) { join( meet( X, X )
% 0.73/1.37 , zero ) ==> X }.
% 0.73/1.37 parent0: (4162) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4164) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.73/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4166) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 0.73/1.37 ( complement( X ), complement( X ) ) ) ) }.
% 0.73/1.37 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 parent1[0; 3]: (4164) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := complement( X )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4167) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.73/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.37 parent1[0; 4]: (4166) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 0.73/1.37 ( join( complement( X ), complement( X ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4168) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.73/1.37 parent0[0]: (4167) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (355) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X
% 0.73/1.37 , X ) ) ==> X }.
% 0.73/1.37 parent0: (4168) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4169) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (332) {G10,W7,D4,L1,V1,M1} P(215,30);d(221);d(49) { join( meet
% 0.73/1.37 ( X, top ), zero ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4170) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.73/1.37 Y ) }.
% 0.73/1.37 parent1[0; 3]: (4169) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.73/1.37 zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := top
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4173) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (4170) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 0.73/1.37 ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (361) {G11,W7,D4,L1,V1,M1} P(47,332) { join( meet( top, X ),
% 0.73/1.37 zero ) ==> X }.
% 0.73/1.37 parent0: (4173) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4175) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.73/1.37 ), complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.73/1.37 complement( X ) ) ==> join( Y, top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4177) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top ) ==>
% 0.73/1.37 join( X, complement( zero ) ) }.
% 0.73/1.37 parent0[0]: (332) {G10,W7,D4,L1,V1,M1} P(215,30);d(221);d(49) { join( meet
% 0.73/1.37 ( X, top ), zero ) ==> X }.
% 0.73/1.37 parent1[0; 7]: (4175) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.73/1.37 ( X, Y ), complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := meet( X, top )
% 0.73/1.37 Y := zero
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4178) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 0.73/1.37 ) }.
% 0.73/1.37 parent0[0]: (165) {G7,W5,D3,L1,V1,M1} P(157,31);d(162) { join( X, top ) ==>
% 0.73/1.37 top }.
% 0.73/1.37 parent1[0; 1]: (4177) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top )
% 0.73/1.37 ==> join( X, complement( zero ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( X, top )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4179) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (4178) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero
% 0.73/1.37 ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (362) {G11,W6,D4,L1,V1,M1} P(332,21);d(165) { join( X,
% 0.73/1.37 complement( zero ) ) ==> top }.
% 0.73/1.37 parent0: (4179) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 0.73/1.37 top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4181) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.37 complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4183) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement( top
% 0.73/1.37 ) }.
% 0.73/1.37 parent0[0]: (362) {G11,W6,D4,L1,V1,M1} P(332,21);d(165) { join( X,
% 0.73/1.37 complement( zero ) ) ==> top }.
% 0.73/1.37 parent1[0; 5]: (4181) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := zero
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4184) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.73/1.37 parent0[0]: (49) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 parent1[0; 4]: (4183) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement
% 0.73/1.37 ( top ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (366) {G12,W5,D3,L1,V1,M1} P(362,3);d(49) { meet( X, zero )
% 0.73/1.37 ==> zero }.
% 0.73/1.37 parent0: (4184) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4186) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (361) {G11,W7,D4,L1,V1,M1} P(47,332) { join( meet( top, X ),
% 0.73/1.37 zero ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4187) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.37 parent1[0; 2]: (4186) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.73/1.37 zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( top, X )
% 0.73/1.37 Y := zero
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4190) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (4187) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 0.73/1.37 ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (375) {G12,W7,D4,L1,V1,M1} P(361,0) { join( zero, meet( top, X
% 0.73/1.37 ) ) ==> X }.
% 0.73/1.37 parent0: (4190) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4192) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.73/1.37 ( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4194) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join( meet(
% 0.73/1.37 complement( X ), zero ), complement( X ) ) }.
% 0.73/1.37 parent0[0]: (327) {G7,W7,D5,L1,V1,M1} P(304,30);d(18);d(49) { join(
% 0.73/1.37 complement( complement( X ) ), zero ) ==> X }.
% 0.73/1.37 parent1[0; 9]: (4192) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := zero
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4195) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 parent0[0]: (366) {G12,W5,D3,L1,V1,M1} P(362,3);d(49) { meet( X, zero ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 parent1[0; 4]: (4194) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.73/1.37 meet( complement( X ), zero ), complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4196) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.73/1.37 complement( X ) }.
% 0.73/1.37 parent0[0]: (4195) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (383) {G13,W7,D4,L1,V1,M1} P(327,30);d(366) { join( zero,
% 0.73/1.37 complement( X ) ) ==> complement( X ) }.
% 0.73/1.37 parent0: (4196) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.73/1.37 complement( X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4198) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 parent0[0]: (383) {G13,W7,D4,L1,V1,M1} P(327,30);d(366) { join( zero,
% 0.73/1.37 complement( X ) ) ==> complement( X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4201) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.73/1.37 join( zero, meet( X, X ) ) }.
% 0.73/1.37 parent0[0]: (304) {G6,W7,D4,L1,V1,M1} P(295,3) { complement( complement( X
% 0.73/1.37 ) ) = meet( X, X ) }.
% 0.73/1.37 parent1[0; 6]: (4198) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.73/1.37 zero, complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4202) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet( X
% 0.73/1.37 , X ) ) }.
% 0.73/1.37 parent0[0]: (304) {G6,W7,D4,L1,V1,M1} P(295,3) { complement( complement( X
% 0.73/1.37 ) ) = meet( X, X ) }.
% 0.73/1.37 parent1[0; 1]: (4201) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 0.73/1.37 ==> join( zero, meet( X, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4205) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.73/1.37 parent0[0]: (355) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 0.73/1.37 X ) ) ==> X }.
% 0.73/1.37 parent1[0; 4]: (4202) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 0.73/1.37 meet( X, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (393) {G14,W5,D3,L1,V1,M1} P(304,383);d(355) { meet( X, X )
% 0.73/1.37 ==> X }.
% 0.73/1.37 parent0: (4205) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4208) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.73/1.37 zero, complement( X ) ) ) }.
% 0.73/1.37 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero,
% 0.73/1.37 complement( X ) ) ) ==> meet( top, X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4215) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 parent0[0]: (383) {G13,W7,D4,L1,V1,M1} P(327,30);d(366) { join( zero,
% 0.73/1.37 complement( X ) ) ==> complement( X ) }.
% 0.73/1.37 parent1[0; 5]: (4208) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.73/1.37 ( join( zero, complement( X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (398) {G14,W7,D4,L1,V1,M1} P(383,50) { meet( top, X ) ==>
% 0.73/1.37 complement( complement( X ) ) }.
% 0.73/1.37 parent0: (4215) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4218) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 parent0[0]: (383) {G13,W7,D4,L1,V1,M1} P(327,30);d(366) { join( zero,
% 0.73/1.37 complement( X ) ) ==> complement( X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4223) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 0.73/1.37 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.73/1.37 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero,
% 0.73/1.37 complement( X ) ) ) ==> meet( top, X ) }.
% 0.73/1.37 parent1[0; 8]: (4218) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.73/1.37 zero, complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := join( zero, complement( X ) )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4224) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 0.73/1.37 ( top, X ) ) }.
% 0.73/1.37 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(49,3) { complement( join( zero,
% 0.73/1.37 complement( X ) ) ) ==> meet( top, X ) }.
% 0.73/1.37 parent1[0; 1]: (4223) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.73/1.37 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4226) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.73/1.37 parent0[0]: (375) {G12,W7,D4,L1,V1,M1} P(361,0) { join( zero, meet( top, X
% 0.73/1.37 ) ) ==> X }.
% 0.73/1.37 parent1[0; 4]: (4224) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 0.73/1.37 , meet( top, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4227) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (398) {G14,W7,D4,L1,V1,M1} P(383,50) { meet( top, X ) ==>
% 0.73/1.37 complement( complement( X ) ) }.
% 0.73/1.37 parent1[0; 1]: (4226) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) {
% 0.73/1.37 complement( complement( X ) ) ==> X }.
% 0.73/1.37 parent0: (4227) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4230) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.73/1.37 parent0[0]: (355) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 0.73/1.37 X ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4231) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 0.73/1.37 parent0[0]: (393) {G14,W5,D3,L1,V1,M1} P(304,383);d(355) { meet( X, X ) ==>
% 0.73/1.37 X }.
% 0.73/1.37 parent1[0; 4]: (4230) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X )
% 0.73/1.37 ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4232) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 0.73/1.37 parent0[0]: (4231) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (403) {G15,W5,D3,L1,V1,M1} P(393,355) { join( zero, X ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent0: (4232) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4234) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.73/1.37 parent0[0]: (350) {G2,W7,D4,L1,V1,M1} P(18,30);d(49) { join( meet( X, X ),
% 0.73/1.37 zero ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4235) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.73/1.37 parent0[0]: (393) {G14,W5,D3,L1,V1,M1} P(304,383);d(355) { meet( X, X ) ==>
% 0.73/1.37 X }.
% 0.73/1.37 parent1[0; 3]: (4234) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero
% 0.73/1.37 ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4236) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.73/1.37 parent0[0]: (4235) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (404) {G15,W5,D3,L1,V1,M1} P(393,350) { join( X, zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent0: (4236) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4238) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.37 complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4241) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.73/1.37 complement( join( X, complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 7]: (4238) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4243) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y )
% 0.73/1.37 ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 parent0[0]: (4241) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.73/1.37 complement( join( X, complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (412) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( X,
% 0.73/1.37 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 parent0: (4243) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y
% 0.73/1.37 ) ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4246) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.73/1.37 complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4250) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.73/1.37 complement( join( complement( X ), Y ) ) }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 9]: (4246) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.73/1.37 join( complement( X ), complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := complement( Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4252) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.73/1.37 ) ) ==> meet( X, complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (4250) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.73/1.37 complement( join( complement( X ), Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (413) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join(
% 0.73/1.37 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.73/1.37 parent0: (4252) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.73/1.37 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4254) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4259) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.73/1.37 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.73/1.37 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.73/1.37 parent1[0; 7]: (4254) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement
% 0.73/1.37 ( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := join( complement( X ), complement( Y ) )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ),
% 0.73/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 parent0: (4259) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.73/1.37 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4263) {G15,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 4]: (398) {G14,W7,D4,L1,V1,M1} P(383,50) { meet( top, X ) ==>
% 0.73/1.37 complement( complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (424) {G16,W5,D3,L1,V1,M1} S(398);d(399) { meet( top, X ) ==>
% 0.73/1.37 X }.
% 0.73/1.37 parent0: (4263) {G15,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4266) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.73/1.37 ( complement( X ), complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ),
% 0.73/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4267) {G16,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.73/1.37 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 7]: (4266) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.73/1.37 ==> join( complement( X ), complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (629) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet(
% 0.73/1.37 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.37 parent0: (4267) {G16,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.73/1.37 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4272) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.73/1.37 ( complement( X ), complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ),
% 0.73/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4274) {G16,W10,D5,L1,V2,M1} { complement( meet( X, complement( Y
% 0.73/1.37 ) ) ) ==> join( complement( X ), Y ) }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 9]: (4272) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.73/1.37 ==> join( complement( X ), complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := complement( Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (630) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet( Y,
% 0.73/1.37 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 0.73/1.37 parent0: (4274) {G16,W10,D5,L1,V2,M1} { complement( meet( X, complement( Y
% 0.73/1.37 ) ) ) ==> join( complement( X ), Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4277) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.73/1.37 ( complement( X ), complement( Y ) ) }.
% 0.73/1.37 parent0[0]: (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ),
% 0.73/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4279) {G1,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.73/1.37 ( complement( Y ), complement( X ) ) }.
% 0.73/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.37 parent1[0; 5]: (4277) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.73/1.37 ==> join( complement( X ), complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := complement( Y )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4281) {G2,W9,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 0.73/1.37 complement( meet( Y, X ) ) }.
% 0.73/1.37 parent0[0]: (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ),
% 0.73/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 parent1[0; 5]: (4279) {G1,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.73/1.37 ==> join( complement( Y ), complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (637) {G17,W9,D4,L1,V2,M1} P(414,0);d(414) { complement( meet
% 0.73/1.37 ( X, Y ) ) = complement( meet( Y, X ) ) }.
% 0.73/1.37 parent0: (4281) {G2,W9,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 0.73/1.37 complement( meet( Y, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4282) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4283) {G1,W10,D5,L1,V2,M1} { top ==> join( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 parent0[0]: (637) {G17,W9,D4,L1,V2,M1} P(414,0);d(414) { complement( meet(
% 0.73/1.37 X, Y ) ) = complement( meet( Y, X ) ) }.
% 0.73/1.37 parent1[0; 6]: (4282) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.73/1.37 ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := meet( X, Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4286) {G1,W10,D5,L1,V2,M1} { join( meet( X, Y ), complement( meet
% 0.73/1.37 ( Y, X ) ) ) ==> top }.
% 0.73/1.37 parent0[0]: (4283) {G1,W10,D5,L1,V2,M1} { top ==> join( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (682) {G18,W10,D5,L1,V2,M1} P(637,11) { join( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) ==> top }.
% 0.73/1.37 parent0: (4286) {G1,W10,D5,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.73/1.37 meet( Y, X ) ) ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4287) {G0,W6,D4,L1,V1,M1} { zero ==> meet( X, complement( X ) )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.73/1.37 zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4288) {G1,W10,D5,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 parent0[0]: (637) {G17,W9,D4,L1,V2,M1} P(414,0);d(414) { complement( meet(
% 0.73/1.37 X, Y ) ) = complement( meet( Y, X ) ) }.
% 0.73/1.37 parent1[0; 6]: (4287) {G0,W6,D4,L1,V1,M1} { zero ==> meet( X, complement(
% 0.73/1.37 X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := meet( X, Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4291) {G1,W10,D5,L1,V2,M1} { meet( meet( X, Y ), complement( meet
% 0.73/1.37 ( Y, X ) ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (4288) {G1,W10,D5,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (683) {G18,W10,D5,L1,V2,M1} P(637,12) { meet( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) ==> zero }.
% 0.73/1.37 parent0: (4291) {G1,W10,D5,L1,V2,M1} { meet( meet( X, Y ), complement(
% 0.73/1.37 meet( Y, X ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4294) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.73/1.37 complement( Y ) ) ) ==> X }.
% 0.73/1.37 parent0[0]: (413) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join(
% 0.73/1.37 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.73/1.37 parent1[0; 5]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.73/1.37 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1022) {G17,W10,D5,L1,V2,M1} S(30);d(413) { join( meet( X, Y )
% 0.73/1.37 , meet( X, complement( Y ) ) ) ==> X }.
% 0.73/1.37 parent0: (4294) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.73/1.37 complement( Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4296) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X,
% 0.73/1.37 complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (1022) {G17,W10,D5,L1,V2,M1} S(30);d(413) { join( meet( X, Y )
% 0.73/1.37 , meet( X, complement( Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4297) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet( X,
% 0.73/1.37 complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (47) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.73/1.37 Y ) }.
% 0.73/1.37 parent1[0; 3]: (4296) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.73/1.37 meet( X, complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4301) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 0.73/1.37 complement( Y ) ) ) ==> X }.
% 0.73/1.37 parent0[0]: (4297) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet(
% 0.73/1.37 X, complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1040) {G18,W10,D5,L1,V2,M1} P(47,1022) { join( meet( Y, X ),
% 0.73/1.37 meet( X, complement( Y ) ) ) ==> X }.
% 0.73/1.37 parent0: (4301) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 0.73/1.37 complement( Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4305) {G18,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ), meet( Y,
% 0.73/1.37 complement( X ) ) ) }.
% 0.73/1.37 parent0[0]: (1040) {G18,W10,D5,L1,V2,M1} P(47,1022) { join( meet( Y, X ),
% 0.73/1.37 meet( X, complement( Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4306) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 0.73/1.37 ) ), meet( Y, X ) ) }.
% 0.73/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.37 parent1[0; 2]: (4305) {G18,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ),
% 0.73/1.37 meet( Y, complement( X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( Y, X )
% 0.73/1.37 Y := meet( X, complement( Y ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4309) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 0.73/1.37 meet( Y, X ) ) ==> X }.
% 0.73/1.37 parent0[0]: (4306) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement
% 0.73/1.37 ( Y ) ), meet( Y, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1066) {G19,W10,D5,L1,V2,M1} P(1040,0) { join( meet( Y,
% 0.73/1.37 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 0.73/1.37 parent0: (4309) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 0.73/1.37 meet( Y, X ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4311) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.73/1.37 complement( join( X, complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (412) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( X,
% 0.73/1.37 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4315) {G16,W10,D4,L1,V2,M1} { meet( complement( X ), complement
% 0.73/1.37 ( Y ) ) ==> complement( join( X, Y ) ) }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 9]: (4311) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 0.73/1.37 ==> complement( join( X, complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := complement( Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1213) {G17,W10,D4,L1,V2,M1} P(399,412) { meet( complement( Y
% 0.73/1.37 ), complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.73/1.37 parent0: (4315) {G16,W10,D4,L1,V2,M1} { meet( complement( X ), complement
% 0.73/1.37 ( Y ) ) ==> complement( join( X, Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4318) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 0.73/1.37 complement( join( X, complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (412) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( X,
% 0.73/1.37 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4319) {G2,W14,D6,L1,V3,M1} { meet( complement( join( X, Y ) ), Z
% 0.73/1.37 ) ==> complement( join( join( X, complement( Z ) ), Y ) ) }.
% 0.73/1.37 parent0[0]: (20) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.73/1.37 = join( join( Z, X ), Y ) }.
% 0.73/1.37 parent1[0; 8]: (4318) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 0.73/1.37 ==> complement( join( X, complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( Z )
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := join( X, Y )
% 0.73/1.37 Y := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4322) {G2,W14,D6,L1,V3,M1} { complement( join( join( X,
% 0.73/1.37 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 0.73/1.37 parent0[0]: (4319) {G2,W14,D6,L1,V3,M1} { meet( complement( join( X, Y ) )
% 0.73/1.37 , Z ) ==> complement( join( join( X, complement( Z ) ), Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1216) {G17,W14,D6,L1,V3,M1} P(20,412) { complement( join(
% 0.73/1.37 join( X, complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z
% 0.73/1.37 ) }.
% 0.73/1.37 parent0: (4322) {G2,W14,D6,L1,V3,M1} { complement( join( join( X,
% 0.73/1.37 complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4324) {G18,W10,D5,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 parent0[0]: (683) {G18,W10,D5,L1,V2,M1} P(637,12) { meet( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4329) {G18,W13,D6,L1,V2,M1} { zero ==> meet( meet( complement( X
% 0.73/1.37 ), complement( Y ) ), complement( complement( join( Y, X ) ) ) ) }.
% 0.73/1.37 parent0[0]: (1213) {G17,W10,D4,L1,V2,M1} P(399,412) { meet( complement( Y )
% 0.73/1.37 , complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.73/1.37 parent1[0; 9]: (4324) {G18,W10,D5,L1,V2,M1} { zero ==> meet( meet( X, Y )
% 0.73/1.37 , complement( meet( Y, X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := complement( Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4333) {G18,W12,D6,L1,V2,M1} { zero ==> meet( complement( join( X
% 0.73/1.37 , Y ) ), complement( complement( join( Y, X ) ) ) ) }.
% 0.73/1.37 parent0[0]: (1213) {G17,W10,D4,L1,V2,M1} P(399,412) { meet( complement( Y )
% 0.73/1.37 , complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.73/1.37 parent1[0; 3]: (4329) {G18,W13,D6,L1,V2,M1} { zero ==> meet( meet(
% 0.73/1.37 complement( X ), complement( Y ) ), complement( complement( join( Y, X )
% 0.73/1.37 ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4335) {G18,W11,D6,L1,V2,M1} { zero ==> complement( join( join( X
% 0.73/1.37 , Y ), complement( join( Y, X ) ) ) ) }.
% 0.73/1.37 parent0[0]: (1213) {G17,W10,D4,L1,V2,M1} P(399,412) { meet( complement( Y )
% 0.73/1.37 , complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.73/1.37 parent1[0; 2]: (4333) {G18,W12,D6,L1,V2,M1} { zero ==> meet( complement(
% 0.73/1.37 join( X, Y ) ), complement( complement( join( Y, X ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( join( Y, X ) )
% 0.73/1.37 Y := join( X, Y )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4336) {G17,W10,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 0.73/1.37 , Y ) ), join( Y, X ) ) }.
% 0.73/1.37 parent0[0]: (412) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( X,
% 0.73/1.37 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 parent1[0; 2]: (4335) {G18,W11,D6,L1,V2,M1} { zero ==> complement( join(
% 0.73/1.37 join( X, Y ), complement( join( Y, X ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := join( X, Y )
% 0.73/1.37 Y := join( Y, X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4337) {G17,W10,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 0.73/1.37 join( Y, X ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (4336) {G17,W10,D5,L1,V2,M1} { zero ==> meet( complement( join
% 0.73/1.37 ( X, Y ) ), join( Y, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1232) {G19,W10,D5,L1,V2,M1} P(1213,683);d(1213);d(1213);d(412
% 0.73/1.37 ) { meet( complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 0.73/1.37 parent0: (4337) {G17,W10,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 0.73/1.37 join( Y, X ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4340) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.73/1.37 complement( composition( X, top ) ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (404) {G15,W5,D3,L1,V1,M1} P(393,350) { join( X, zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 1]: (99) {G2,W11,D6,L1,V1,M1} P(49,10) { join( composition(
% 0.73/1.37 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := composition( converse( X ), complement( composition( X, top ) ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1455) {G16,W9,D5,L1,V1,M1} S(99);d(404) { composition(
% 0.73/1.37 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.73/1.37 parent0: (4340) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.73/1.37 complement( composition( X, top ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4343) {G16,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 0.73/1.37 , complement( composition( X, top ) ) ) }.
% 0.73/1.37 parent0[0]: (1455) {G16,W9,D5,L1,V1,M1} S(99);d(404) { composition(
% 0.73/1.37 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4344) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.73/1.37 complement( composition( top, top ) ) ) }.
% 0.73/1.37 parent0[0]: (221) {G9,W4,D3,L1,V0,M1} P(215,176) { converse( top ) ==> top
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 3]: (4343) {G16,W9,D5,L1,V1,M1} { zero ==> composition(
% 0.73/1.37 converse( X ), complement( composition( X, top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := top
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4345) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.73/1.37 composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (4344) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.73/1.37 complement( composition( top, top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1467) {G17,W8,D5,L1,V0,M1} P(221,1455) { composition( top,
% 0.73/1.37 complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent0: (4345) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.73/1.37 composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4347) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 0.73/1.37 join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.73/1.37 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.73/1.37 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Z
% 0.73/1.37 Z := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4352) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.73/1.37 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.73/1.37 complement( composition( top, top ) ) ), zero ) }.
% 0.73/1.37 parent0[0]: (1467) {G17,W8,D5,L1,V0,M1} P(221,1455) { composition( top,
% 0.73/1.37 complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent1[0; 16]: (4347) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y
% 0.73/1.37 ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := complement( composition( top, top ) )
% 0.73/1.37 Z := top
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4353) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.73/1.37 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.73/1.37 composition( top, top ) ) ) }.
% 0.73/1.37 parent0[0]: (404) {G15,W5,D3,L1,V1,M1} P(393,350) { join( X, zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 9]: (4352) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.73/1.37 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.73/1.37 complement( composition( top, top ) ) ), zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := composition( X, complement( composition( top, top ) ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4354) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 0.73/1.37 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 0.73/1.37 top, top ) ) ) }.
% 0.73/1.37 parent0[0]: (165) {G7,W5,D3,L1,V1,M1} P(157,31);d(162) { join( X, top ) ==>
% 0.73/1.37 top }.
% 0.73/1.37 parent1[0; 2]: (4353) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.73/1.37 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.73/1.37 composition( top, top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4355) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 0.73/1.37 ( composition( top, top ) ) ) }.
% 0.73/1.37 parent0[0]: (1467) {G17,W8,D5,L1,V0,M1} P(221,1455) { composition( top,
% 0.73/1.37 complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent1[0; 1]: (4354) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 0.73/1.37 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 0.73/1.37 ( top, top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4356) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.73/1.37 composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (4355) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 0.73/1.37 complement( composition( top, top ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1472) {G18,W8,D5,L1,V1,M1} P(1467,6);d(404);d(165);d(1467) {
% 0.73/1.37 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent0: (4356) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.73/1.37 composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4358) {G0,W11,D4,L1,V3,M1} { composition( composition( X, Y ), Z
% 0.73/1.37 ) ==> composition( X, composition( Y, Z ) ) }.
% 0.73/1.37 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.73/1.37 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4361) {G1,W12,D5,L1,V1,M1} { composition( composition( X, top )
% 0.73/1.37 , complement( composition( top, top ) ) ) ==> composition( X, zero ) }.
% 0.73/1.37 parent0[0]: (1467) {G17,W8,D5,L1,V0,M1} P(221,1455) { composition( top,
% 0.73/1.37 complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent1[0; 11]: (4358) {G0,W11,D4,L1,V3,M1} { composition( composition( X
% 0.73/1.37 , Y ), Z ) ==> composition( X, composition( Y, Z ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := top
% 0.73/1.37 Z := complement( composition( top, top ) )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4362) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero ) }.
% 0.73/1.37 parent0[0]: (1472) {G18,W8,D5,L1,V1,M1} P(1467,6);d(404);d(165);d(1467) {
% 0.73/1.37 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.73/1.37 parent1[0; 1]: (4361) {G1,W12,D5,L1,V1,M1} { composition( composition( X,
% 0.73/1.37 top ), complement( composition( top, top ) ) ) ==> composition( X, zero )
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := composition( X, top )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4363) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.73/1.37 parent0[0]: (4362) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero )
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (1473) {G19,W5,D3,L1,V1,M1} P(1467,4);d(1472) { composition( X
% 0.73/1.37 , zero ) ==> zero }.
% 0.73/1.37 parent0: (4363) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4365) {G1,W34,D7,L1,V3,M1} { composition( meet( converse( X ),
% 0.73/1.37 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ==>
% 0.73/1.37 join( meet( composition( converse( X ), Y ), Z ), composition( meet(
% 0.73/1.37 converse( X ), composition( Z, converse( Y ) ) ), meet( Y, composition( X
% 0.73/1.37 , Z ) ) ) ) }.
% 0.73/1.37 parent0[0]: (123) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition(
% 0.73/1.37 converse( X ), Y ), Z ), composition( meet( converse( X ), composition( Z
% 0.73/1.37 , converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ==> composition(
% 0.73/1.37 meet( converse( X ), composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.37 composition( X, Z ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 Z := Z
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4369) {G2,W34,D7,L1,V0,M1} { composition( meet( converse( skol1
% 0.73/1.37 ), composition( complement( one ), converse( skol1 ) ) ), meet( skol1,
% 0.73/1.37 composition( skol1, complement( one ) ) ) ) ==> join( meet( composition(
% 0.73/1.37 converse( skol1 ), skol1 ), complement( one ) ), composition( meet(
% 0.73/1.37 converse( skol1 ), composition( complement( one ), converse( skol1 ) ) )
% 0.73/1.37 , zero ) ) }.
% 0.73/1.37 parent0[0]: (187) {G1,W8,D5,L1,V0,M1} P(5,16) { meet( skol1, composition(
% 0.73/1.37 skol1, complement( one ) ) ) ==> zero }.
% 0.73/1.37 parent1[0; 33]: (4365) {G1,W34,D7,L1,V3,M1} { composition( meet( converse
% 0.73/1.37 ( X ), composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) )
% 0.73/1.37 ) ==> join( meet( composition( converse( X ), Y ), Z ), composition(
% 0.73/1.37 meet( converse( X ), composition( Z, converse( Y ) ) ), meet( Y,
% 0.73/1.37 composition( X, Z ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := skol1
% 0.73/1.37 Y := skol1
% 0.73/1.37 Z := complement( one )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4370) {G2,W29,D7,L1,V0,M1} { composition( meet( converse( skol1
% 0.73/1.37 ), composition( complement( one ), converse( skol1 ) ) ), zero ) ==>
% 0.73/1.37 join( meet( composition( converse( skol1 ), skol1 ), complement( one ) )
% 0.73/1.37 , composition( meet( converse( skol1 ), composition( complement( one ),
% 0.73/1.37 converse( skol1 ) ) ), zero ) ) }.
% 0.73/1.37 parent0[0]: (187) {G1,W8,D5,L1,V0,M1} P(5,16) { meet( skol1, composition(
% 0.73/1.37 skol1, complement( one ) ) ) ==> zero }.
% 0.73/1.37 parent1[0; 10]: (4369) {G2,W34,D7,L1,V0,M1} { composition( meet( converse
% 0.73/1.37 ( skol1 ), composition( complement( one ), converse( skol1 ) ) ), meet(
% 0.73/1.37 skol1, composition( skol1, complement( one ) ) ) ) ==> join( meet(
% 0.73/1.37 composition( converse( skol1 ), skol1 ), complement( one ) ), composition
% 0.73/1.37 ( meet( converse( skol1 ), composition( complement( one ), converse(
% 0.73/1.37 skol1 ) ) ), zero ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4375) {G3,W20,D6,L1,V0,M1} { composition( meet( converse( skol1
% 0.73/1.37 ), composition( complement( one ), converse( skol1 ) ) ), zero ) ==>
% 0.73/1.37 join( meet( composition( converse( skol1 ), skol1 ), complement( one ) )
% 0.73/1.37 , zero ) }.
% 0.73/1.37 parent0[0]: (1473) {G19,W5,D3,L1,V1,M1} P(1467,4);d(1472) { composition( X
% 0.73/1.37 , zero ) ==> zero }.
% 0.73/1.37 parent1[0; 19]: (4370) {G2,W29,D7,L1,V0,M1} { composition( meet( converse
% 0.73/1.37 ( skol1 ), composition( complement( one ), converse( skol1 ) ) ), zero )
% 0.73/1.37 ==> join( meet( composition( converse( skol1 ), skol1 ), complement( one
% 0.73/1.37 ) ), composition( meet( converse( skol1 ), composition( complement( one
% 0.73/1.37 ), converse( skol1 ) ) ), zero ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( converse( skol1 ), composition( complement( one ), converse(
% 0.73/1.37 skol1 ) ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4376) {G4,W11,D6,L1,V0,M1} { zero ==> join( meet( composition(
% 0.73/1.37 converse( skol1 ), skol1 ), complement( one ) ), zero ) }.
% 0.73/1.37 parent0[0]: (1473) {G19,W5,D3,L1,V1,M1} P(1467,4);d(1472) { composition( X
% 0.73/1.37 , zero ) ==> zero }.
% 0.73/1.37 parent1[0; 1]: (4375) {G3,W20,D6,L1,V0,M1} { composition( meet( converse(
% 0.73/1.37 skol1 ), composition( complement( one ), converse( skol1 ) ) ), zero )
% 0.73/1.37 ==> join( meet( composition( converse( skol1 ), skol1 ), complement( one
% 0.73/1.37 ) ), zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( converse( skol1 ), composition( complement( one ), converse(
% 0.73/1.37 skol1 ) ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4379) {G5,W9,D5,L1,V0,M1} { zero ==> meet( composition( converse
% 0.73/1.37 ( skol1 ), skol1 ), complement( one ) ) }.
% 0.73/1.37 parent0[0]: (404) {G15,W5,D3,L1,V1,M1} P(393,350) { join( X, zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 2]: (4376) {G4,W11,D6,L1,V0,M1} { zero ==> join( meet(
% 0.73/1.37 composition( converse( skol1 ), skol1 ), complement( one ) ), zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( composition( converse( skol1 ), skol1 ), complement( one ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4380) {G5,W9,D5,L1,V0,M1} { meet( composition( converse( skol1 )
% 0.73/1.37 , skol1 ), complement( one ) ) ==> zero }.
% 0.73/1.37 parent0[0]: (4379) {G5,W9,D5,L1,V0,M1} { zero ==> meet( composition(
% 0.73/1.37 converse( skol1 ), skol1 ), complement( one ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (2258) {G20,W9,D5,L1,V0,M1} P(187,123);d(1473);d(404) { meet(
% 0.73/1.37 composition( converse( skol1 ), skol1 ), complement( one ) ) ==> zero }.
% 0.73/1.37 parent0: (4380) {G5,W9,D5,L1,V0,M1} { meet( composition( converse( skol1 )
% 0.73/1.37 , skol1 ), complement( one ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4382) {G18,W10,D5,L1,V2,M1} { top ==> join( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 parent0[0]: (682) {G18,W10,D5,L1,V2,M1} P(637,11) { join( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4385) {G19,W12,D7,L1,V0,M1} { top ==> join( zero, complement(
% 0.73/1.37 meet( complement( one ), composition( converse( skol1 ), skol1 ) ) ) )
% 0.73/1.37 }.
% 0.73/1.37 parent0[0]: (2258) {G20,W9,D5,L1,V0,M1} P(187,123);d(1473);d(404) { meet(
% 0.73/1.37 composition( converse( skol1 ), skol1 ), complement( one ) ) ==> zero }.
% 0.73/1.37 parent1[0; 3]: (4382) {G18,W10,D5,L1,V2,M1} { top ==> join( meet( X, Y ),
% 0.73/1.37 complement( meet( Y, X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := composition( converse( skol1 ), skol1 )
% 0.73/1.37 Y := complement( one )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4387) {G16,W10,D6,L1,V0,M1} { top ==> complement( meet(
% 0.73/1.37 complement( one ), composition( converse( skol1 ), skol1 ) ) ) }.
% 0.73/1.37 parent0[0]: (403) {G15,W5,D3,L1,V1,M1} P(393,355) { join( zero, X ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 2]: (4385) {G19,W12,D7,L1,V0,M1} { top ==> join( zero,
% 0.73/1.37 complement( meet( complement( one ), composition( converse( skol1 ),
% 0.73/1.37 skol1 ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( meet( complement( one ), composition( converse( skol1 )
% 0.73/1.37 , skol1 ) ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4388) {G17,W9,D6,L1,V0,M1} { top ==> join( one, complement(
% 0.73/1.37 composition( converse( skol1 ), skol1 ) ) ) }.
% 0.73/1.37 parent0[0]: (629) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet(
% 0.73/1.37 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.37 parent1[0; 2]: (4387) {G16,W10,D6,L1,V0,M1} { top ==> complement( meet(
% 0.73/1.37 complement( one ), composition( converse( skol1 ), skol1 ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := one
% 0.73/1.37 Y := composition( converse( skol1 ), skol1 )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4389) {G17,W9,D6,L1,V0,M1} { join( one, complement( composition(
% 0.73/1.37 converse( skol1 ), skol1 ) ) ) ==> top }.
% 0.73/1.37 parent0[0]: (4388) {G17,W9,D6,L1,V0,M1} { top ==> join( one, complement(
% 0.73/1.37 composition( converse( skol1 ), skol1 ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (2266) {G21,W9,D6,L1,V0,M1} P(2258,682);d(403);d(629) { join(
% 0.73/1.37 one, complement( composition( converse( skol1 ), skol1 ) ) ) ==> top }.
% 0.73/1.37 parent0: (4389) {G17,W9,D6,L1,V0,M1} { join( one, complement( composition
% 0.73/1.37 ( converse( skol1 ), skol1 ) ) ) ==> top }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4391) {G19,W10,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 0.73/1.37 , Y ) ), join( Y, X ) ) }.
% 0.73/1.37 parent0[0]: (1232) {G19,W10,D5,L1,V2,M1} P(1213,683);d(1213);d(1213);d(412)
% 0.73/1.37 { meet( complement( join( X, Y ) ), join( Y, X ) ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4397) {G17,W13,D6,L1,V2,M1} { zero ==> meet( complement( join(
% 0.73/1.37 complement( X ), complement( Y ) ) ), complement( meet( Y, X ) ) ) }.
% 0.73/1.37 parent0[0]: (414) {G16,W10,D4,L1,V2,M1} P(3,399) { join( complement( X ),
% 0.73/1.37 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.73/1.37 parent1[0; 9]: (4391) {G19,W10,D5,L1,V2,M1} { zero ==> meet( complement(
% 0.73/1.37 join( X, Y ) ), join( Y, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := complement( Y )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4399) {G18,W12,D6,L1,V2,M1} { zero ==> complement( join( join(
% 0.73/1.37 complement( X ), complement( Y ) ), meet( Y, X ) ) ) }.
% 0.73/1.37 parent0[0]: (1213) {G17,W10,D4,L1,V2,M1} P(399,412) { meet( complement( Y )
% 0.73/1.37 , complement( X ) ) ==> complement( join( Y, X ) ) }.
% 0.73/1.37 parent1[0; 2]: (4397) {G17,W13,D6,L1,V2,M1} { zero ==> meet( complement(
% 0.73/1.37 join( complement( X ), complement( Y ) ) ), complement( meet( Y, X ) ) )
% 0.73/1.37 }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( Y, X )
% 0.73/1.37 Y := join( complement( X ), complement( Y ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4400) {G18,W11,D6,L1,V2,M1} { zero ==> meet( complement( join(
% 0.73/1.37 complement( X ), meet( Y, X ) ) ), Y ) }.
% 0.73/1.37 parent0[0]: (1216) {G17,W14,D6,L1,V3,M1} P(20,412) { complement( join( join
% 0.73/1.37 ( X, complement( Z ) ), Y ) ) ==> meet( complement( join( X, Y ) ), Z )
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 2]: (4399) {G18,W12,D6,L1,V2,M1} { zero ==> complement( join(
% 0.73/1.37 join( complement( X ), complement( Y ) ), meet( Y, X ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( X )
% 0.73/1.37 Y := meet( Y, X )
% 0.73/1.37 Z := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4401) {G17,W10,D6,L1,V2,M1} { zero ==> meet( meet( X, complement
% 0.73/1.37 ( meet( Y, X ) ) ), Y ) }.
% 0.73/1.37 parent0[0]: (413) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join(
% 0.73/1.37 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.73/1.37 parent1[0; 3]: (4400) {G18,W11,D6,L1,V2,M1} { zero ==> meet( complement(
% 0.73/1.37 join( complement( X ), meet( Y, X ) ) ), Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( Y, X )
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4402) {G17,W10,D6,L1,V2,M1} { meet( meet( X, complement( meet( Y
% 0.73/1.37 , X ) ) ), Y ) ==> zero }.
% 0.73/1.37 parent0[0]: (4401) {G17,W10,D6,L1,V2,M1} { zero ==> meet( meet( X,
% 0.73/1.37 complement( meet( Y, X ) ) ), Y ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (3095) {G20,W10,D6,L1,V2,M1} P(414,1232);d(1213);d(1216);d(413
% 0.73/1.37 ) { meet( meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 0.73/1.37 parent0: (4402) {G17,W10,D6,L1,V2,M1} { meet( meet( X, complement( meet( Y
% 0.73/1.37 , X ) ) ), Y ) ==> zero }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4404) {G19,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 0.73/1.37 ) ), meet( Y, X ) ) }.
% 0.73/1.37 parent0[0]: (1066) {G19,W10,D5,L1,V2,M1} P(1040,0) { join( meet( Y,
% 0.73/1.37 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4408) {G20,W13,D8,L1,V2,M1} { X ==> join( meet( X, complement(
% 0.73/1.37 meet( Y, complement( meet( X, Y ) ) ) ) ), zero ) }.
% 0.73/1.37 parent0[0]: (3095) {G20,W10,D6,L1,V2,M1} P(414,1232);d(1213);d(1216);d(413)
% 0.73/1.37 { meet( meet( Y, complement( meet( X, Y ) ) ), X ) ==> zero }.
% 0.73/1.37 parent1[0; 12]: (4404) {G19,W10,D5,L1,V2,M1} { X ==> join( meet( X,
% 0.73/1.37 complement( Y ) ), meet( Y, X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := meet( Y, complement( meet( X, Y ) ) )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4409) {G16,W11,D7,L1,V2,M1} { X ==> meet( X, complement( meet( Y
% 0.73/1.37 , complement( meet( X, Y ) ) ) ) ) }.
% 0.73/1.37 parent0[0]: (404) {G15,W5,D3,L1,V1,M1} P(393,350) { join( X, zero ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 2]: (4408) {G20,W13,D8,L1,V2,M1} { X ==> join( meet( X,
% 0.73/1.37 complement( meet( Y, complement( meet( X, Y ) ) ) ) ), zero ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( X, complement( meet( Y, complement( meet( X, Y ) ) ) ) )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4410) {G17,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement( Y
% 0.73/1.37 ), meet( X, Y ) ) ) }.
% 0.73/1.37 parent0[0]: (630) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet( Y,
% 0.73/1.37 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 0.73/1.37 parent1[0; 4]: (4409) {G16,W11,D7,L1,V2,M1} { X ==> meet( X, complement(
% 0.73/1.37 meet( Y, complement( meet( X, Y ) ) ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( X, Y )
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4411) {G17,W10,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 0.73/1.37 meet( X, Y ) ) ) ==> X }.
% 0.73/1.37 parent0[0]: (4410) {G17,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement
% 0.73/1.37 ( Y ), meet( X, Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (3600) {G21,W10,D5,L1,V2,M1} P(3095,1066);d(404);d(630) { meet
% 0.73/1.37 ( Y, join( complement( X ), meet( Y, X ) ) ) ==> Y }.
% 0.73/1.37 parent0: (4411) {G17,W10,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 0.73/1.37 meet( X, Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4412) {G21,W10,D5,L1,V2,M1} { X ==> meet( X, join( complement( Y
% 0.73/1.37 ), meet( X, Y ) ) ) }.
% 0.73/1.37 parent0[0]: (3600) {G21,W10,D5,L1,V2,M1} P(3095,1066);d(404);d(630) { meet
% 0.73/1.37 ( Y, join( complement( X ), meet( Y, X ) ) ) ==> Y }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4413) {G1,W10,D5,L1,V2,M1} { X ==> meet( X, join( meet( X, Y ),
% 0.73/1.37 complement( Y ) ) ) }.
% 0.73/1.37 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.73/1.37 parent1[0; 4]: (4412) {G21,W10,D5,L1,V2,M1} { X ==> meet( X, join(
% 0.73/1.37 complement( Y ), meet( X, Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := complement( Y )
% 0.73/1.37 Y := meet( X, Y )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4416) {G1,W10,D5,L1,V2,M1} { meet( X, join( meet( X, Y ),
% 0.73/1.37 complement( Y ) ) ) ==> X }.
% 0.73/1.37 parent0[0]: (4413) {G1,W10,D5,L1,V2,M1} { X ==> meet( X, join( meet( X, Y
% 0.73/1.37 ), complement( Y ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (3632) {G22,W10,D5,L1,V2,M1} P(0,3600) { meet( Y, join( meet(
% 0.73/1.37 Y, X ), complement( X ) ) ) ==> Y }.
% 0.73/1.37 parent0: (4416) {G1,W10,D5,L1,V2,M1} { meet( X, join( meet( X, Y ),
% 0.73/1.37 complement( Y ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := X
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4418) {G17,W10,D5,L1,V2,M1} { join( X, complement( Y ) ) ==>
% 0.73/1.37 complement( meet( complement( X ), Y ) ) }.
% 0.73/1.37 parent0[0]: (629) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet(
% 0.73/1.37 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4423) {G18,W14,D7,L1,V2,M1} { join( X, complement( join( meet(
% 0.73/1.37 complement( X ), Y ), complement( Y ) ) ) ) ==> complement( complement( X
% 0.73/1.37 ) ) }.
% 0.73/1.37 parent0[0]: (3632) {G22,W10,D5,L1,V2,M1} P(0,3600) { meet( Y, join( meet( Y
% 0.73/1.37 , X ), complement( X ) ) ) ==> Y }.
% 0.73/1.37 parent1[0; 12]: (4418) {G17,W10,D5,L1,V2,M1} { join( X, complement( Y ) )
% 0.73/1.37 ==> complement( meet( complement( X ), Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := Y
% 0.73/1.37 Y := complement( X )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := join( meet( complement( X ), Y ), complement( Y ) )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4424) {G16,W12,D7,L1,V2,M1} { join( X, complement( join( meet(
% 0.73/1.37 complement( X ), Y ), complement( Y ) ) ) ) ==> X }.
% 0.73/1.37 parent0[0]: (399) {G15,W5,D4,L1,V1,M1} P(50,383);d(375);d(398) { complement
% 0.73/1.37 ( complement( X ) ) ==> X }.
% 0.73/1.37 parent1[0; 11]: (4423) {G18,W14,D7,L1,V2,M1} { join( X, complement( join(
% 0.73/1.37 meet( complement( X ), Y ), complement( Y ) ) ) ) ==> complement(
% 0.73/1.37 complement( X ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4425) {G17,W11,D7,L1,V2,M1} { join( X, meet( complement( meet(
% 0.73/1.37 complement( X ), Y ) ), Y ) ) ==> X }.
% 0.73/1.37 parent0[0]: (412) {G16,W10,D5,L1,V2,M1} P(399,3) { complement( join( X,
% 0.73/1.37 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 0.73/1.37 parent1[0; 3]: (4424) {G16,W12,D7,L1,V2,M1} { join( X, complement( join(
% 0.73/1.37 meet( complement( X ), Y ), complement( Y ) ) ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := meet( complement( X ), Y )
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4426) {G18,W10,D6,L1,V2,M1} { join( X, meet( join( X, complement
% 0.73/1.37 ( Y ) ), Y ) ) ==> X }.
% 0.73/1.37 parent0[0]: (629) {G17,W10,D5,L1,V2,M1} P(399,414) { complement( meet(
% 0.73/1.37 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.73/1.37 parent1[0; 4]: (4425) {G17,W11,D7,L1,V2,M1} { join( X, meet( complement(
% 0.73/1.37 meet( complement( X ), Y ) ), Y ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (3730) {G23,W10,D6,L1,V2,M1} P(3632,629);d(399);d(412);d(629)
% 0.73/1.37 { join( X, meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 0.73/1.37 parent0: (4426) {G18,W10,D6,L1,V2,M1} { join( X, meet( join( X, complement
% 0.73/1.37 ( Y ) ), Y ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 0 ==> 0
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4429) {G23,W10,D6,L1,V2,M1} { X ==> join( X, meet( join( X,
% 0.73/1.37 complement( Y ) ), Y ) ) }.
% 0.73/1.37 parent0[0]: (3730) {G23,W10,D6,L1,V2,M1} P(3632,629);d(399);d(412);d(629)
% 0.73/1.37 { join( X, meet( join( X, complement( Y ) ), Y ) ) ==> X }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := X
% 0.73/1.37 Y := Y
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 eqswap: (4431) {G1,W8,D5,L1,V0,M1} { ! one ==> join( one, composition(
% 0.73/1.37 converse( skol1 ), skol1 ) ) }.
% 0.73/1.37 parent0[0]: (24) {G1,W8,D5,L1,V0,M1} P(0,17) { ! join( one, composition(
% 0.73/1.37 converse( skol1 ), skol1 ) ) ==> one }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4432) {G22,W10,D6,L1,V0,M1} { one ==> join( one, meet( top,
% 0.73/1.37 composition( converse( skol1 ), skol1 ) ) ) }.
% 0.73/1.37 parent0[0]: (2266) {G21,W9,D6,L1,V0,M1} P(2258,682);d(403);d(629) { join(
% 0.73/1.37 one, complement( composition( converse( skol1 ), skol1 ) ) ) ==> top }.
% 0.73/1.37 parent1[0; 5]: (4429) {G23,W10,D6,L1,V2,M1} { X ==> join( X, meet( join( X
% 0.73/1.37 , complement( Y ) ), Y ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 X := one
% 0.73/1.37 Y := composition( converse( skol1 ), skol1 )
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 paramod: (4433) {G17,W8,D5,L1,V0,M1} { one ==> join( one, composition(
% 0.73/1.37 converse( skol1 ), skol1 ) ) }.
% 0.73/1.37 parent0[0]: (424) {G16,W5,D3,L1,V1,M1} S(398);d(399) { meet( top, X ) ==> X
% 0.73/1.37 }.
% 0.73/1.37 parent1[0; 4]: (4432) {G22,W10,D6,L1,V0,M1} { one ==> join( one, meet( top
% 0.73/1.37 , composition( converse( skol1 ), skol1 ) ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 X := composition( converse( skol1 ), skol1 )
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 resolution: (4434) {G2,W0,D0,L0,V0,M0} { }.
% 0.73/1.37 parent0[0]: (4431) {G1,W8,D5,L1,V0,M1} { ! one ==> join( one, composition
% 0.73/1.37 ( converse( skol1 ), skol1 ) ) }.
% 0.73/1.37 parent1[0]: (4433) {G17,W8,D5,L1,V0,M1} { one ==> join( one, composition(
% 0.73/1.37 converse( skol1 ), skol1 ) ) }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 substitution1:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 subsumption: (3762) {G24,W0,D0,L0,V0,M0} P(2266,3730);d(424);r(24) { }.
% 0.73/1.37 parent0: (4434) {G2,W0,D0,L0,V0,M0} { }.
% 0.73/1.37 substitution0:
% 0.73/1.37 end
% 0.73/1.37 permutation0:
% 0.73/1.37 end
% 0.73/1.37
% 0.73/1.37 Proof check complete!
% 0.73/1.37
% 0.73/1.37 Memory use:
% 0.73/1.37
% 0.73/1.37 space for terms: 47324
% 0.73/1.37 space for clauses: 416450
% 0.73/1.37
% 0.73/1.37
% 0.73/1.37 clauses generated: 63664
% 0.73/1.37 clauses kept: 3763
% 0.73/1.37 clauses selected: 465
% 0.73/1.37 clauses deleted: 273
% 0.73/1.37 clauses inuse deleted: 93
% 0.73/1.37
% 0.73/1.37 subsentry: 3724
% 0.73/1.37 literals s-matched: 1818
% 0.73/1.37 literals matched: 1694
% 0.73/1.37 full subsumption: 0
% 0.73/1.37
% 0.73/1.37 checksum: 1347317491
% 0.73/1.37
% 0.73/1.37
% 0.73/1.37 Bliksem ended
%------------------------------------------------------------------------------