TSTP Solution File: REL004+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL004+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 18:59:48 EDT 2022
% Result : Theorem 0.86s 1.22s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL004+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jul 8 07:48:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.86/1.22 *** allocated 10000 integers for termspace/termends
% 0.86/1.22 *** allocated 10000 integers for clauses
% 0.86/1.22 *** allocated 10000 integers for justifications
% 0.86/1.22 Bliksem 1.12
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Automatic Strategy Selection
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Clauses:
% 0.86/1.22
% 0.86/1.22 { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.86/1.22 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.86/1.22 complement( join( complement( X ), Y ) ) ) }.
% 0.86/1.22 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.86/1.22 , Z ) }.
% 0.86/1.22 { composition( X, one ) = X }.
% 0.86/1.22 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.86/1.22 Y, Z ) ) }.
% 0.86/1.22 { converse( converse( X ) ) = X }.
% 0.86/1.22 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.86/1.22 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.86/1.22 ) ) }.
% 0.86/1.22 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.22 complement( Y ) ) = complement( Y ) }.
% 0.86/1.22 { top = join( X, complement( X ) ) }.
% 0.86/1.22 { zero = meet( X, complement( X ) ) }.
% 0.86/1.22 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.86/1.22 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 0.86/1.22 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ) }.
% 0.86/1.22 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 0.86/1.22 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 0.86/1.22 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.86/1.22 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 0.86/1.22 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 0.86/1.22 { ! converse( complement( skol1 ) ) = complement( converse( skol1 ) ) }.
% 0.86/1.22
% 0.86/1.22 percentage equality = 1.000000, percentage horn = 1.000000
% 0.86/1.22 This is a pure equality problem
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Options Used:
% 0.86/1.22
% 0.86/1.22 useres = 1
% 0.86/1.22 useparamod = 1
% 0.86/1.22 useeqrefl = 1
% 0.86/1.22 useeqfact = 1
% 0.86/1.22 usefactor = 1
% 0.86/1.22 usesimpsplitting = 0
% 0.86/1.22 usesimpdemod = 5
% 0.86/1.22 usesimpres = 3
% 0.86/1.22
% 0.86/1.22 resimpinuse = 1000
% 0.86/1.22 resimpclauses = 20000
% 0.86/1.22 substype = eqrewr
% 0.86/1.22 backwardsubs = 1
% 0.86/1.22 selectoldest = 5
% 0.86/1.22
% 0.86/1.22 litorderings [0] = split
% 0.86/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.22
% 0.86/1.22 termordering = kbo
% 0.86/1.22
% 0.86/1.22 litapriori = 0
% 0.86/1.22 termapriori = 1
% 0.86/1.22 litaposteriori = 0
% 0.86/1.22 termaposteriori = 0
% 0.86/1.22 demodaposteriori = 0
% 0.86/1.22 ordereqreflfact = 0
% 0.86/1.22
% 0.86/1.22 litselect = negord
% 0.86/1.22
% 0.86/1.22 maxweight = 15
% 0.86/1.22 maxdepth = 30000
% 0.86/1.22 maxlength = 115
% 0.86/1.22 maxnrvars = 195
% 0.86/1.22 excuselevel = 1
% 0.86/1.22 increasemaxweight = 1
% 0.86/1.22
% 0.86/1.22 maxselected = 10000000
% 0.86/1.22 maxnrclauses = 10000000
% 0.86/1.22
% 0.86/1.22 showgenerated = 0
% 0.86/1.22 showkept = 0
% 0.86/1.22 showselected = 0
% 0.86/1.22 showdeleted = 0
% 0.86/1.22 showresimp = 1
% 0.86/1.22 showstatus = 2000
% 0.86/1.22
% 0.86/1.22 prologoutput = 0
% 0.86/1.22 nrgoals = 5000000
% 0.86/1.22 totalproof = 1
% 0.86/1.22
% 0.86/1.22 Symbols occurring in the translation:
% 0.86/1.22
% 0.86/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.22 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.86/1.22 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.86/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.22 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.86/1.22 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.86/1.22 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.86/1.22 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.22 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.86/1.22 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.86/1.22 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.86/1.22 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.86/1.22 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Starting Search:
% 0.86/1.22
% 0.86/1.22 *** allocated 15000 integers for clauses
% 0.86/1.22 *** allocated 22500 integers for clauses
% 0.86/1.22 *** allocated 33750 integers for clauses
% 0.86/1.22 *** allocated 50625 integers for clauses
% 0.86/1.22 *** allocated 75937 integers for clauses
% 0.86/1.22 *** allocated 113905 integers for clauses
% 0.86/1.22 *** allocated 15000 integers for termspace/termends
% 0.86/1.22 Resimplifying inuse:
% 0.86/1.22 Done
% 0.86/1.22
% 0.86/1.22 *** allocated 170857 integers for clauses
% 0.86/1.22 *** allocated 22500 integers for termspace/termends
% 0.86/1.22 *** allocated 256285 integers for clauses
% 0.86/1.22 *** allocated 33750 integers for termspace/termends
% 0.86/1.22
% 0.86/1.22 Intermediate Status:
% 0.86/1.22 Generated: 24772
% 0.86/1.22 Kept: 2016
% 0.86/1.22 Inuse: 299
% 0.86/1.22 Deleted: 165
% 0.86/1.22 Deletedinuse: 60
% 0.86/1.22
% 0.86/1.22 Resimplifying inuse:
% 0.86/1.22 Done
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Bliksems!, er is een bewijs:
% 0.86/1.22 % SZS status Theorem
% 0.86/1.22 % SZS output start Refutation
% 0.86/1.22
% 0.86/1.22 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.86/1.22 , Z ) }.
% 0.86/1.22 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.86/1.22 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.86/1.22 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.86/1.22 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 0.86/1.22 composition( composition( X, Y ), Z ) }.
% 0.86/1.22 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.86/1.22 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.86/1.22 ) ==> composition( join( X, Y ), Z ) }.
% 0.86/1.22 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.86/1.22 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.86/1.22 converse( join( X, Y ) ) }.
% 0.86/1.22 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.86/1.22 ==> converse( composition( X, Y ) ) }.
% 0.86/1.22 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.86/1.22 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.86/1.22 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.86/1.22 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.86/1.22 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 0.86/1.22 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.86/1.22 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.86/1.22 ) ) ) }.
% 0.86/1.22 (15) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ), Z ), meet(
% 0.86/1.22 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) ==>
% 0.86/1.22 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.86/1.22 }.
% 0.86/1.22 (16) {G0,W7,D4,L1,V0,M1} I { ! converse( complement( skol1 ) ) ==>
% 0.86/1.22 complement( converse( skol1 ) ) }.
% 0.86/1.22 (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.86/1.22 (18) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) = join( join( Y
% 0.86/1.22 , Z ), X ) }.
% 0.86/1.22 (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.86/1.22 join( Z, X ), Y ) }.
% 0.86/1.22 (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.86/1.22 ==> join( Y, top ) }.
% 0.86/1.22 (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement( join( X, Y ) )
% 0.86/1.22 , X ), Y ) ==> top }.
% 0.86/1.22 (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ), complement( Y ) )
% 0.86/1.22 ==> join( X, top ) }.
% 0.86/1.22 (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement( complement( X )
% 0.86/1.22 ) ) ==> join( X, top ) }.
% 0.86/1.22 (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement( X ) ), top
% 0.86/1.22 ) ==> join( X, top ) }.
% 0.86/1.22 (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.86/1.22 ( complement( X ), Y ) ) ) ==> X }.
% 0.86/1.22 (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.86/1.22 ) ) ==> composition( converse( Y ), X ) }.
% 0.86/1.22 (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.86/1.22 join( X, converse( Y ) ) }.
% 0.86/1.22 (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.86/1.22 (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.86/1.22 (54) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( zero, complement( X )
% 0.86/1.22 ) ) ==> meet( top, X ) }.
% 0.86/1.22 (55) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( complement( X ), zero
% 0.86/1.22 ) ) ==> meet( X, top ) }.
% 0.86/1.22 (60) {G2,W5,D3,L1,V0,M1} P(53,17) { join( zero, top ) ==> top }.
% 0.86/1.22 (63) {G3,W9,D4,L1,V1,M1} P(60,1) { join( join( X, zero ), top ) ==> join( X
% 0.86/1.22 , top ) }.
% 0.86/1.22 (81) {G2,W11,D6,L1,V1,M1} P(53,10) { join( composition( converse( X ),
% 0.86/1.22 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.86/1.22 (88) {G1,W11,D5,L1,V1,M1} P(5,10) { join( composition( converse( X ),
% 0.86/1.22 complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 0.86/1.22 (109) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet( composition( X, Y )
% 0.86/1.22 , Z ), top ) ==> top }.
% 0.86/1.22 (140) {G3,W7,D4,L1,V2,M1} P(5,109) { join( meet( X, Y ), top ) ==> top }.
% 0.86/1.22 (142) {G4,W10,D5,L1,V2,M1} P(140,26) { join( top, complement( meet( X, Y )
% 0.86/1.22 ) ) ==> join( top, top ) }.
% 0.86/1.22 (163) {G5,W8,D4,L1,V1,M1} P(55,27);d(142);d(63) { join( complement( X ),
% 0.86/1.22 top ) ==> join( top, top ) }.
% 0.86/1.22 (168) {G6,W5,D3,L1,V0,M1} P(55,163);d(140) { join( top, top ) ==> top }.
% 0.86/1.22 (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==> top }.
% 0.86/1.22 (178) {G8,W5,D3,L1,V1,M1} P(163,18);d(171);d(171) { join( top, Y ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 (209) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top ) ) ==>
% 0.86/1.22 converse( top ) }.
% 0.86/1.22 (214) {G9,W4,D3,L1,V0,M1} P(209,21) { converse( top ) ==> top }.
% 0.86/1.22 (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse( one ), X )
% 0.86/1.22 ==> X }.
% 0.86/1.22 (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one }.
% 0.86/1.22 (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X ) ==> X }.
% 0.86/1.22 (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement( X ),
% 0.86/1.22 complement( X ) ) ==> complement( X ) }.
% 0.86/1.22 (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X ) ) = meet(
% 0.86/1.22 X, X ) }.
% 0.86/1.22 (292) {G10,W7,D4,L1,V1,M1} P(209,29);d(214);d(53) { join( meet( X, top ),
% 0.86/1.22 zero ) ==> X }.
% 0.86/1.22 (307) {G8,W8,D5,L1,V2,M1} P(29,26);d(171) { join( X, complement( meet( X, Y
% 0.86/1.22 ) ) ) ==> top }.
% 0.86/1.22 (309) {G2,W7,D4,L1,V1,M1} P(17,29);d(53) { join( meet( X, X ), zero ) ==> X
% 0.86/1.22 }.
% 0.86/1.22 (314) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X, X ) ) ==> X
% 0.86/1.22 }.
% 0.86/1.22 (325) {G11,W7,D4,L1,V1,M1} P(51,292) { join( meet( top, X ), zero ) ==> X
% 0.86/1.22 }.
% 0.86/1.22 (326) {G11,W6,D4,L1,V1,M1} P(292,20);d(171) { join( X, complement( zero ) )
% 0.86/1.22 ==> top }.
% 0.86/1.22 (327) {G11,W7,D4,L1,V1,M1} P(292,0) { join( zero, meet( X, top ) ) ==> X
% 0.86/1.22 }.
% 0.86/1.22 (329) {G12,W4,D3,L1,V0,M1} P(326,280) { complement( zero ) ==> top }.
% 0.86/1.22 (332) {G13,W5,D3,L1,V1,M1} P(329,3);d(178);d(53) { meet( zero, X ) ==> zero
% 0.86/1.22 }.
% 0.86/1.22 (339) {G12,W7,D4,L1,V1,M1} P(325,0) { join( zero, meet( top, X ) ) ==> X
% 0.86/1.22 }.
% 0.86/1.22 (353) {G7,W7,D4,L1,V1,M1} P(288,55);d(309) { meet( complement( X ), top )
% 0.86/1.22 ==> complement( X ) }.
% 0.86/1.22 (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement( X ) ) ==>
% 0.86/1.22 complement( X ) }.
% 0.86/1.22 (371) {G13,W5,D3,L1,V1,M1} P(288,366);d(314) { meet( X, X ) ==> X }.
% 0.86/1.22 (372) {G13,W11,D4,L1,V2,M1} P(366,19) { join( join( zero, Y ), complement(
% 0.86/1.22 X ) ) ==> join( complement( X ), Y ) }.
% 0.86/1.22 (376) {G13,W7,D4,L1,V1,M1} P(366,54) { meet( top, X ) ==> complement(
% 0.86/1.22 complement( X ) ) }.
% 0.86/1.22 (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement( complement
% 0.86/1.22 ( X ) ) ==> X }.
% 0.86/1.22 (379) {G14,W5,D3,L1,V1,M1} P(371,314) { join( zero, X ) ==> X }.
% 0.86/1.22 (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X }.
% 0.86/1.22 (383) {G15,W6,D4,L1,V1,M1} P(380,42);d(7) { join( X, converse( zero ) ) ==>
% 0.86/1.22 X }.
% 0.86/1.22 (386) {G15,W5,D3,L1,V1,M1} P(377,280) { join( X, X ) ==> X }.
% 0.86/1.22 (389) {G15,W10,D5,L1,V2,M1} P(377,3) { complement( join( complement( Y ), X
% 0.86/1.22 ) ) ==> meet( Y, complement( X ) ) }.
% 0.86/1.22 (390) {G15,W10,D4,L1,V2,M1} P(3,377) { join( complement( X ), complement( Y
% 0.86/1.22 ) ) ==> complement( meet( X, Y ) ) }.
% 0.86/1.22 (391) {G16,W9,D4,L1,V2,M1} P(386,19);d(1);d(386) { join( join( X, Y ), Y )
% 0.86/1.22 ==> join( X, Y ) }.
% 0.86/1.22 (392) {G16,W9,D4,L1,V2,M1} P(386,19) { join( join( X, Y ), X ) ==> join( X
% 0.86/1.22 , Y ) }.
% 0.86/1.22 (393) {G16,W4,D3,L1,V0,M1} P(383,379) { converse( zero ) ==> zero }.
% 0.86/1.22 (425) {G14,W8,D5,L1,V2,M1} P(307,21);d(53);d(372) { join( complement( meet
% 0.86/1.22 ( X, Y ) ), X ) ==> top }.
% 0.86/1.22 (438) {G15,W8,D5,L1,V2,M1} P(51,425) { join( complement( meet( Y, X ) ), X
% 0.86/1.22 ) ==> top }.
% 0.86/1.22 (441) {G16,W9,D4,L1,V2,M1} P(438,29);d(53);d(380) { meet( meet( X, Y ), Y )
% 0.86/1.22 ==> meet( X, Y ) }.
% 0.86/1.22 (446) {G16,W8,D5,L1,V2,M1} P(438,3);d(53) { meet( meet( X, complement( Y )
% 0.86/1.22 ), Y ) ==> zero }.
% 0.86/1.22 (448) {G17,W8,D4,L1,V2,M1} P(377,446) { meet( meet( Y, X ), complement( X )
% 0.86/1.22 ) ==> zero }.
% 0.86/1.22 (449) {G17,W8,D5,L1,V2,M1} P(446,51) { meet( Y, meet( X, complement( Y ) )
% 0.86/1.22 ) ==> zero }.
% 0.86/1.22 (450) {G18,W8,D4,L1,V2,M1} P(448,51) { meet( complement( Y ), meet( X, Y )
% 0.86/1.22 ) ==> zero }.
% 0.86/1.22 (453) {G19,W8,D4,L1,V2,M1} P(51,450) { meet( complement( Y ), meet( Y, X )
% 0.86/1.22 ) ==> zero }.
% 0.86/1.22 (455) {G18,W9,D6,L1,V2,M1} P(449,29);d(366);d(389) { meet( X, complement(
% 0.86/1.22 meet( Y, complement( X ) ) ) ) ==> X }.
% 0.86/1.22 (466) {G17,W9,D4,L1,V2,M1} P(441,51) { meet( Y, meet( X, Y ) ) ==> meet( X
% 0.86/1.22 , Y ) }.
% 0.86/1.22 (477) {G17,W8,D5,L1,V2,M1} P(29,391);d(389) { join( X, meet( X, complement
% 0.86/1.22 ( Y ) ) ) ==> X }.
% 0.86/1.22 (480) {G18,W7,D4,L1,V2,M1} P(377,477) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.86/1.22 (491) {G19,W7,D4,L1,V2,M1} P(466,480) { join( X, meet( Y, X ) ) ==> X }.
% 0.86/1.22 (509) {G20,W7,D4,L1,V2,M1} P(491,0) { join( meet( Y, X ), X ) ==> X }.
% 0.86/1.22 (615) {G19,W9,D6,L1,V2,M1} P(455,466) { meet( complement( meet( Y,
% 0.86/1.22 complement( X ) ) ), X ) ==> X }.
% 0.86/1.22 (639) {G16,W10,D5,L1,V2,M1} P(377,390) { complement( meet( complement( X )
% 0.86/1.22 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.86/1.22 (763) {G20,W7,D4,L1,V2,M1} P(639,615);d(377) { meet( join( X, Y ), Y ) ==>
% 0.86/1.22 Y }.
% 0.86/1.22 (787) {G21,W7,D4,L1,V2,M1} P(392,763) { meet( join( X, Y ), X ) ==> X }.
% 0.86/1.22 (806) {G22,W8,D5,L1,V2,M1} P(787,453) { meet( complement( join( X, Y ) ), X
% 0.86/1.22 ) ==> zero }.
% 0.86/1.22 (871) {G15,W9,D5,L1,V1,M1} S(81);d(380) { composition( converse( X ),
% 0.86/1.22 complement( composition( X, top ) ) ) ==> zero }.
% 0.86/1.22 (942) {G16,W8,D5,L1,V0,M1} P(214,871) { composition( top, complement(
% 0.86/1.22 composition( top, top ) ) ) ==> zero }.
% 0.86/1.22 (947) {G17,W8,D5,L1,V1,M1} P(942,6);d(380);d(171);d(942) { composition( X,
% 0.86/1.22 complement( composition( top, top ) ) ) ==> zero }.
% 0.86/1.22 (948) {G18,W5,D3,L1,V1,M1} P(942,4);d(947) { composition( X, zero ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 (952) {G19,W5,D3,L1,V1,M1} P(948,37);d(393) { composition( zero, X ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 (1002) {G16,W10,D5,L1,V2,M1} S(29);d(389) { join( meet( X, Y ), meet( X,
% 0.86/1.22 complement( Y ) ) ) ==> X }.
% 0.86/1.22 (1027) {G23,W9,D5,L1,V1,M1} P(88,806);d(377) { meet( one, composition(
% 0.86/1.22 converse( X ), complement( X ) ) ) ==> zero }.
% 0.86/1.22 (1381) {G24,W9,D6,L1,V1,M1} P(377,1027) { meet( one, composition( converse
% 0.86/1.22 ( complement( X ) ), X ) ) ==> zero }.
% 0.86/1.22 (1406) {G25,W8,D6,L1,V1,M1} P(1381,15);d(275);d(952);d(332);d(380) { meet(
% 0.86/1.22 X, converse( complement( converse( X ) ) ) ) ==> zero }.
% 0.86/1.22 (1889) {G26,W9,D7,L1,V1,M1} P(1406,1002);d(379) { meet( X, complement(
% 0.86/1.22 converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.86/1.22 (1970) {G27,W9,D7,L1,V1,M1} P(1889,639);d(377);d(377) { join( X, converse(
% 0.86/1.22 complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.86/1.22 (1976) {G27,W13,D7,L1,V1,M1} P(1889,509) { join( X, complement( converse(
% 0.86/1.22 complement( converse( X ) ) ) ) ) ==> complement( converse( complement(
% 0.86/1.22 converse( X ) ) ) ) }.
% 0.86/1.22 (2007) {G28,W7,D6,L1,V1,M1} P(1970,42);d(7);d(7);d(1976) { complement(
% 0.86/1.22 converse( complement( converse( X ) ) ) ) ==> X }.
% 0.86/1.22 (2063) {G29,W7,D5,L1,V1,M1} P(2007,377) { converse( complement( converse( X
% 0.86/1.22 ) ) ) ==> complement( X ) }.
% 0.86/1.22 (2068) {G29,W7,D5,L1,V1,M1} P(7,2007) { complement( converse( complement( X
% 0.86/1.22 ) ) ) ==> converse( X ) }.
% 0.86/1.22 (2069) {G30,W7,D4,L1,V1,M1} P(2063,2007);d(2068) { converse( complement( X
% 0.86/1.22 ) ) ==> complement( converse( X ) ) }.
% 0.86/1.22 (2099) {G31,W0,D0,L0,V0,M0} R(2069,16) { }.
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 % SZS output end Refutation
% 0.86/1.22 found a proof!
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Unprocessed initial clauses:
% 0.86/1.22
% 0.86/1.22 (2101) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 (2102) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.86/1.22 , Z ) }.
% 0.86/1.22 (2103) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.86/1.22 (2104) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 0.86/1.22 ( X ), complement( Y ) ) ) }.
% 0.86/1.22 (2105) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.86/1.22 composition( composition( X, Y ), Z ) }.
% 0.86/1.22 (2106) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.86/1.22 (2107) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.86/1.22 composition( X, Z ), composition( Y, Z ) ) }.
% 0.86/1.22 (2108) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.86/1.22 (2109) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.86/1.22 ), converse( Y ) ) }.
% 0.86/1.22 (2110) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.86/1.22 composition( converse( Y ), converse( X ) ) }.
% 0.86/1.22 (2111) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.86/1.22 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.86/1.22 (2112) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.86/1.22 (2113) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.86/1.22 (2114) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 0.86/1.22 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.86/1.22 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.86/1.22 (2115) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.86/1.22 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 0.86/1.22 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.86/1.22 }.
% 0.86/1.22 (2116) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.86/1.22 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 0.86/1.22 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.86/1.22 }.
% 0.86/1.22 (2117) {G0,W7,D4,L1,V0,M1} { ! converse( complement( skol1 ) ) =
% 0.86/1.22 complement( converse( skol1 ) ) }.
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Total Proof:
% 0.86/1.22
% 0.86/1.22 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent0: (2101) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.86/1.22 ( join( X, Y ), Z ) }.
% 0.86/1.22 parent0: (2102) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2120) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.86/1.22 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (2103) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.86/1.22 Y ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.86/1.22 Y ) ) ) ==> X }.
% 0.86/1.22 parent0: (2120) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.86/1.22 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 0.86/1.22 X }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2123) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.86/1.22 complement( Y ) ) ) = meet( X, Y ) }.
% 0.86/1.22 parent0[0]: (2104) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 0.86/1.22 ( complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 parent0: (2123) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.86/1.22 complement( Y ) ) ) = meet( X, Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.86/1.22 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.86/1.22 parent0: (2105) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z )
% 0.86/1.22 ) = composition( composition( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.86/1.22 parent0: (2106) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2138) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.86/1.22 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.86/1.22 parent0[0]: (2107) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.86/1.22 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.86/1.22 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.86/1.22 parent0: (2138) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.86/1.22 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.86/1.22 }.
% 0.86/1.22 parent0: (2108) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2153) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.86/1.22 = converse( join( X, Y ) ) }.
% 0.86/1.22 parent0[0]: (2109) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 0.86/1.22 ( converse( X ), converse( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.86/1.22 ) ) ==> converse( join( X, Y ) ) }.
% 0.86/1.22 parent0: (2153) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 0.86/1.22 ) = converse( join( X, Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2162) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.86/1.22 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.86/1.22 parent0[0]: (2110) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 0.86/1.22 = composition( converse( Y ), converse( X ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.86/1.22 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.86/1.22 parent0: (2162) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 0.86/1.22 converse( X ) ) = converse( composition( X, Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.86/1.22 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.86/1.22 Y ) }.
% 0.86/1.22 parent0: (2111) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.86/1.22 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2183) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.86/1.22 parent0[0]: (2112) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.86/1.22 top }.
% 0.86/1.22 parent0: (2183) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2195) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.86/1.22 parent0[0]: (2113) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent0: (2195) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.86/1.22 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.86/1.22 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.86/1.22 ) ) ) }.
% 0.86/1.22 parent0: (2114) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.86/1.22 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.86/1.22 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (15) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.86/1.22 , Z ), meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y )
% 0.86/1.22 , Z ) ) ==> meet( composition( meet( X, composition( Z, converse( Y ) ) )
% 0.86/1.22 , Y ), Z ) }.
% 0.86/1.22 parent0: (2116) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.86/1.22 ), meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z
% 0.86/1.22 ) ) = meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y )
% 0.86/1.22 , Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (16) {G0,W7,D4,L1,V0,M1} I { ! converse( complement( skol1 ) )
% 0.86/1.22 ==> complement( converse( skol1 ) ) }.
% 0.86/1.22 parent0: (2117) {G0,W7,D4,L1,V0,M1} { ! converse( complement( skol1 ) ) =
% 0.86/1.22 complement( converse( skol1 ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2240) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2241) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent1[0; 2]: (2240) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.86/1.22 ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := complement( X )
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2244) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (2241) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 0.86/1.22 ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.86/1.22 ==> top }.
% 0.86/1.22 parent0: (2244) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2245) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.86/1.22 , join( Y, Z ) ) }.
% 0.86/1.22 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2248) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.86/1.22 join( Y, Z ), X ) }.
% 0.86/1.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent1[0; 6]: (2245) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.86/1.22 join( X, join( Y, Z ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := join( Y, Z )
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (18) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.86/1.22 join( join( Y, Z ), X ) }.
% 0.86/1.22 parent0: (2248) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.86/1.22 join( Y, Z ), X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2262) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.86/1.22 , join( Y, Z ) ) }.
% 0.86/1.22 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2267) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.86/1.22 , join( Z, Y ) ) }.
% 0.86/1.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent1[0; 8]: (2262) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.86/1.22 join( X, join( Y, Z ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := Z
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2280) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.86/1.22 join( X, Z ), Y ) }.
% 0.86/1.22 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 parent1[0; 6]: (2267) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.86/1.22 join( X, join( Z, Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Z
% 0.86/1.22 Z := Y
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.86/1.22 ) = join( join( Z, X ), Y ) }.
% 0.86/1.22 parent0: (2280) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.86/1.22 join( X, Z ), Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Z
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2282) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.86/1.22 , join( Y, Z ) ) }.
% 0.86/1.22 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2285) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.86/1.22 ) ==> join( X, top ) }.
% 0.86/1.22 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 parent1[0; 9]: (2282) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.86/1.22 join( X, join( Y, Z ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := complement( Y )
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.86/1.22 complement( X ) ) ==> join( Y, top ) }.
% 0.86/1.22 parent0: (2285) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.86/1.22 ) ==> join( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2289) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.86/1.22 ==> top }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2291) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 0.86/1.22 join( X, Y ) ), X ), Y ) }.
% 0.86/1.22 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 parent1[0; 2]: (2289) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.86/1.22 , X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := complement( join( X, Y ) )
% 0.86/1.22 Y := X
% 0.86/1.22 Z := Y
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := join( X, Y )
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2292) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y )
% 0.86/1.22 ), X ), Y ) ==> top }.
% 0.86/1.22 parent0[0]: (2291) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 0.86/1.22 join( X, Y ) ), X ), Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 0.86/1.22 join( X, Y ) ), X ), Y ) ==> top }.
% 0.86/1.22 parent0: (2292) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 0.86/1.22 ) ), X ), Y ) ==> top }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2293) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.86/1.22 ), complement( Y ) ) }.
% 0.86/1.22 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.86/1.22 complement( X ) ) ==> join( Y, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2296) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.86/1.22 ), complement( Y ) ) }.
% 0.86/1.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent1[0; 5]: (2293) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.86/1.22 ( X, Y ), complement( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2309) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.86/1.22 ) ==> join( X, top ) }.
% 0.86/1.22 parent0[0]: (2296) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.86/1.22 , X ), complement( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.86/1.22 complement( Y ) ) ==> join( X, top ) }.
% 0.86/1.22 parent0: (2309) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.86/1.22 ) ==> join( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2311) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.86/1.22 ), complement( Y ) ) }.
% 0.86/1.22 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.86/1.22 complement( X ) ) ==> join( Y, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2312) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.86/1.22 complement( complement( X ) ) ) }.
% 0.86/1.22 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 parent1[0; 5]: (2311) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.86/1.22 ( X, Y ), complement( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := complement( X )
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2313) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.86/1.22 ) ) ) ==> join( X, top ) }.
% 0.86/1.22 parent0[0]: (2312) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.86/1.22 complement( complement( X ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.86/1.22 complement( X ) ) ) ==> join( X, top ) }.
% 0.86/1.22 parent0: (2313) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.86/1.22 ) ) ) ==> join( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2314) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.86/1.22 complement( complement( X ) ) ) }.
% 0.86/1.22 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.86/1.22 complement( X ) ) ) ==> join( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2316) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 0.86/1.22 ( complement( X ) ), top ) }.
% 0.86/1.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent1[0; 4]: (2314) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.86/1.22 complement( complement( X ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := top
% 0.86/1.22 Y := complement( complement( X ) )
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2322) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.86/1.22 top ) ==> join( X, top ) }.
% 0.86/1.22 parent0[0]: (2316) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.86/1.22 complement( complement( X ) ), top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement(
% 0.86/1.22 complement( X ) ), top ) ==> join( X, top ) }.
% 0.86/1.22 parent0: (2322) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 0.86/1.22 , top ) ==> join( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2325) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.86/1.22 join( complement( X ), Y ) ) ) ==> X }.
% 0.86/1.22 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.86/1.22 Y ) ) ) ==> X }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.86/1.22 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.86/1.22 parent0: (2325) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.86/1.22 join( complement( X ), Y ) ) ) ==> X }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2328) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.86/1.22 composition( converse( X ), converse( Y ) ) }.
% 0.86/1.22 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.86/1.22 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2330) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.86/1.22 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.86/1.22 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.86/1.22 parent1[0; 9]: (2328) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.86/1.22 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := converse( X )
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.86/1.22 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.86/1.22 parent0: (2330) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.86/1.22 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2334) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.86/1.22 converse( X ), converse( Y ) ) }.
% 0.86/1.22 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.86/1.22 ) ==> converse( join( X, Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2335) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.86/1.22 ) ==> join( X, converse( Y ) ) }.
% 0.86/1.22 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.86/1.22 parent1[0; 7]: (2334) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.86/1.22 join( converse( X ), converse( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := converse( X )
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.86/1.22 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.86/1.22 parent0: (2335) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.86/1.22 ) ==> join( X, converse( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2339) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2341) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.86/1.22 complement( Y ), complement( X ) ) ) }.
% 0.86/1.22 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.86/1.22 parent1[0; 5]: (2339) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.86/1.22 join( complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := complement( X )
% 0.86/1.22 Y := complement( Y )
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2343) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.86/1.22 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 parent1[0; 4]: (2341) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.86/1.22 join( complement( Y ), complement( X ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.86/1.22 , Y ) }.
% 0.86/1.22 parent0: (2343) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2345) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2348) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.86/1.22 complement( top ) }.
% 0.86/1.22 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 parent1[0; 6]: (2345) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.86/1.22 join( complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := complement( X )
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := complement( X )
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2349) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.86/1.22 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent1[0; 1]: (2348) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.86/1.22 complement( top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2350) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.86/1.22 parent0[0]: (2349) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent0: (2350) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2352) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2353) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 0.86/1.22 ( zero, complement( X ) ) ) }.
% 0.86/1.22 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent1[0; 6]: (2352) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.86/1.22 join( complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := top
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2355) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.86/1.22 ) ) ) ==> meet( top, X ) }.
% 0.86/1.22 parent0[0]: (2353) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.86/1.22 join( zero, complement( X ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (54) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( zero,
% 0.86/1.22 complement( X ) ) ) ==> meet( top, X ) }.
% 0.86/1.22 parent0: (2355) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 0.86/1.22 X ) ) ) ==> meet( top, X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2358) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.86/1.22 complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.22 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2360) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 0.86/1.22 ( complement( X ), zero ) ) }.
% 0.86/1.22 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent1[0; 8]: (2358) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.86/1.22 join( complement( X ), complement( Y ) ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := top
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2362) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.86/1.22 zero ) ) ==> meet( X, top ) }.
% 0.86/1.22 parent0[0]: (2360) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.86/1.22 join( complement( X ), zero ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (55) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join(
% 0.86/1.22 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.86/1.22 parent0: (2362) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.86/1.22 zero ) ) ==> meet( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2364) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.86/1.22 ==> top }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2365) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.86/1.22 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent1[0; 3]: (2364) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.86/1.22 , X ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := top
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2366) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.86/1.22 parent0[0]: (2365) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (60) {G2,W5,D3,L1,V0,M1} P(53,17) { join( zero, top ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 parent0: (2366) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2368) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.86/1.22 , join( Y, Z ) ) }.
% 0.86/1.22 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.86/1.22 join( X, Y ), Z ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2370) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.86/1.22 join( X, top ) }.
% 0.86/1.22 parent0[0]: (60) {G2,W5,D3,L1,V0,M1} P(53,17) { join( zero, top ) ==> top
% 0.86/1.22 }.
% 0.86/1.22 parent1[0; 8]: (2368) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.86/1.22 join( X, join( Y, Z ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := zero
% 0.86/1.22 Z := top
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (63) {G3,W9,D4,L1,V1,M1} P(60,1) { join( join( X, zero ), top
% 0.86/1.22 ) ==> join( X, top ) }.
% 0.86/1.22 parent0: (2370) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.86/1.22 join( X, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2374) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.22 complement( Y ) ) }.
% 0.86/1.22 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.86/1.22 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.86/1.22 Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2376) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.86/1.22 }.
% 0.86/1.22 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent1[0; 11]: (2374) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.22 complement( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := top
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2377) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.86/1.22 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.86/1.22 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.22 zero }.
% 0.86/1.22 parent1[0; 1]: (2376) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.86/1.22 }.
% 0.86/1.22 substitution0:
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2379) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.86/1.22 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.86/1.22 parent0[0]: (2377) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.86/1.22 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (81) {G2,W11,D6,L1,V1,M1} P(53,10) { join( composition(
% 0.86/1.22 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.86/1.22 parent0: (2379) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.86/1.22 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2382) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.22 complement( Y ) ) }.
% 0.86/1.22 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.86/1.22 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.86/1.22 Y ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2383) {G1,W11,D5,L1,V1,M1} { complement( one ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( X ) ), complement( one ) ) }.
% 0.86/1.22 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.86/1.22 parent1[0; 8]: (2382) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.22 complement( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := X
% 0.86/1.22 Y := one
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2384) {G1,W11,D5,L1,V1,M1} { join( composition( converse( X ),
% 0.86/1.22 complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 0.86/1.22 parent0[0]: (2383) {G1,W11,D5,L1,V1,M1} { complement( one ) ==> join(
% 0.86/1.22 composition( converse( X ), complement( X ) ), complement( one ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 subsumption: (88) {G1,W11,D5,L1,V1,M1} P(5,10) { join( composition(
% 0.86/1.22 converse( X ), complement( X ) ), complement( one ) ) ==> complement( one
% 0.86/1.22 ) }.
% 0.86/1.22 parent0: (2384) {G1,W11,D5,L1,V1,M1} { join( composition( converse( X ),
% 0.86/1.22 complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 end
% 0.86/1.22 permutation0:
% 0.86/1.22 0 ==> 0
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 eqswap: (2386) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.86/1.22 ), complement( Y ) ) }.
% 0.86/1.22 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.86/1.22 complement( X ) ) ==> join( Y, top ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := Y
% 0.86/1.22 Y := X
% 0.86/1.22 end
% 0.86/1.22
% 0.86/1.22 paramod: (2388) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.86/1.22 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 0.86/1.22 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 0.86/1.22 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.86/1.22 converse( X ), Z ) ) ) ) ) }.
% 0.86/1.22 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.86/1.22 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.22 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.86/1.22 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.86/1.22 ) ) ) }.
% 0.86/1.22 parent1[0; 9]: (2386) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.86/1.22 ( X, Y ), complement( Y ) ) }.
% 0.86/1.22 substitution0:
% 0.86/1.22 X := X
% 0.86/1.22 Y := Y
% 0.86/1.22 Z := Z
% 0.86/1.22 end
% 0.86/1.22 substitution1:
% 0.86/1.22 X := meet( composition( X, Y ), Z )
% 0.86/1.22 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.23 composition( converse( X ), Z ) ) )
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2389) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.86/1.23 , top ) ==> top }.
% 0.86/1.23 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.86/1.23 }.
% 0.86/1.23 parent1[0; 8]: (2388) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y
% 0.86/1.23 ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse(
% 0.86/1.23 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 0.86/1.23 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.23 composition( converse( X ), Z ) ) ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.86/1.23 composition( converse( X ), Z ) ) )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 Z := Z
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (109) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 0.86/1.23 composition( X, Y ), Z ), top ) ==> top }.
% 0.86/1.23 parent0: (2389) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.86/1.23 , top ) ==> top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 Z := Z
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2392) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X, Y
% 0.86/1.23 ), Z ), top ) }.
% 0.86/1.23 parent0[0]: (109) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 0.86/1.23 composition( X, Y ), Z ), top ) ==> top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 Z := Z
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2393) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.86/1.23 }.
% 0.86/1.23 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.86/1.23 parent1[0; 4]: (2392) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 0.86/1.23 composition( X, Y ), Z ), top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 Y := one
% 0.86/1.23 Z := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2394) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.86/1.23 parent0[0]: (2393) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.86/1.23 }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (140) {G3,W7,D4,L1,V2,M1} P(5,109) { join( meet( X, Y ), top )
% 0.86/1.23 ==> top }.
% 0.86/1.23 parent0: (2394) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 0.86/1.23 }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2396) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.86/1.23 ), complement( X ) ) }.
% 0.86/1.23 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.86/1.23 complement( Y ) ) ==> join( X, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := Y
% 0.86/1.23 Y := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2398) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.86/1.23 complement( meet( X, Y ) ) ) }.
% 0.86/1.23 parent0[0]: (140) {G3,W7,D4,L1,V2,M1} P(5,109) { join( meet( X, Y ), top )
% 0.86/1.23 ==> top }.
% 0.86/1.23 parent1[0; 5]: (2396) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.86/1.23 ( X, Y ), complement( X ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := meet( X, Y )
% 0.86/1.23 Y := top
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2400) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.86/1.23 ) ) ==> join( top, top ) }.
% 0.86/1.23 parent0[0]: (2398) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.86/1.23 complement( meet( X, Y ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (142) {G4,W10,D5,L1,V2,M1} P(140,26) { join( top, complement(
% 0.86/1.23 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.86/1.23 parent0: (2400) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.86/1.23 ) ) ==> join( top, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2402) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.86/1.23 complement( complement( X ) ) ) }.
% 0.86/1.23 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.86/1.23 complement( X ) ) ) ==> join( X, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2405) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.86/1.23 , top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.86/1.23 parent0[0]: (55) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( complement
% 0.86/1.23 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.86/1.23 parent1[0; 10]: (2402) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 0.86/1.23 , complement( complement( X ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := join( complement( X ), zero )
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2406) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.86/1.23 , top ) ==> join( top, top ) }.
% 0.86/1.23 parent0[0]: (142) {G4,W10,D5,L1,V2,M1} P(140,26) { join( top, complement(
% 0.86/1.23 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.86/1.23 parent1[0; 7]: (2405) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ),
% 0.86/1.23 zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := top
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2407) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.86/1.23 join( top, top ) }.
% 0.86/1.23 parent0[0]: (63) {G3,W9,D4,L1,V1,M1} P(60,1) { join( join( X, zero ), top )
% 0.86/1.23 ==> join( X, top ) }.
% 0.86/1.23 parent1[0; 1]: (2406) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ),
% 0.86/1.23 zero ), top ) ==> join( top, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := complement( X )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (163) {G5,W8,D4,L1,V1,M1} P(55,27);d(142);d(63) { join(
% 0.86/1.23 complement( X ), top ) ==> join( top, top ) }.
% 0.86/1.23 parent0: (2407) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.86/1.23 join( top, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2410) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.86/1.23 ( X ), top ) }.
% 0.86/1.23 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(55,27);d(142);d(63) { join(
% 0.86/1.23 complement( X ), top ) ==> join( top, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2412) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X,
% 0.86/1.23 top ), top ) }.
% 0.86/1.23 parent0[0]: (55) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( complement
% 0.86/1.23 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.86/1.23 parent1[0; 5]: (2410) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.86/1.23 complement( X ), top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := join( complement( X ), zero )
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2413) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.86/1.23 parent0[0]: (140) {G3,W7,D4,L1,V2,M1} P(5,109) { join( meet( X, Y ), top )
% 0.86/1.23 ==> top }.
% 0.86/1.23 parent1[0; 4]: (2412) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.86/1.23 meet( X, top ), top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := top
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (168) {G6,W5,D3,L1,V0,M1} P(55,163);d(140) { join( top, top )
% 0.86/1.23 ==> top }.
% 0.86/1.23 parent0: (2413) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2415) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.86/1.23 ( X ), top ) }.
% 0.86/1.23 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(55,27);d(142);d(63) { join(
% 0.86/1.23 complement( X ), top ) ==> join( top, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2418) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.86/1.23 }.
% 0.86/1.23 parent0[0]: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement
% 0.86/1.23 ( X ) ), top ) ==> join( X, top ) }.
% 0.86/1.23 parent1[0; 4]: (2415) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.86/1.23 complement( X ), top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := complement( X )
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2419) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.86/1.23 parent0[0]: (168) {G6,W5,D3,L1,V0,M1} P(55,163);d(140) { join( top, top )
% 0.86/1.23 ==> top }.
% 0.86/1.23 parent1[0; 1]: (2418) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.86/1.23 top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2420) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.86/1.23 parent0[0]: (2419) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top )
% 0.86/1.23 ==> top }.
% 0.86/1.23 parent0: (2420) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2422) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join( join
% 0.86/1.23 ( X, Y ), Z ) }.
% 0.86/1.23 parent0[0]: (18) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.86/1.23 join( join( Y, Z ), X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 Z := Z
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2425) {G2,W12,D5,L1,V2,M1} { join( join( top, top ), Y ) = join
% 0.86/1.23 ( join( Y, complement( X ) ), top ) }.
% 0.86/1.23 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(55,27);d(142);d(63) { join(
% 0.86/1.23 complement( X ), top ) ==> join( top, top ) }.
% 0.86/1.23 parent1[0; 2]: (2422) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) =
% 0.86/1.23 join( join( X, Y ), Z ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := Y
% 0.86/1.23 Y := complement( X )
% 0.86/1.23 Z := top
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2429) {G3,W7,D4,L1,V1,M1} { join( join( top, top ), X ) = top
% 0.86/1.23 }.
% 0.86/1.23 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.86/1.23 top }.
% 0.86/1.23 parent1[0; 6]: (2425) {G2,W12,D5,L1,V2,M1} { join( join( top, top ), Y ) =
% 0.86/1.23 join( join( Y, complement( X ) ), top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := join( X, complement( Y ) )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := Y
% 0.86/1.23 Y := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2431) {G4,W5,D3,L1,V1,M1} { join( top, X ) = top }.
% 0.86/1.23 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.86/1.23 top }.
% 0.86/1.23 parent1[0; 2]: (2429) {G3,W7,D4,L1,V1,M1} { join( join( top, top ), X ) =
% 0.86/1.23 top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := top
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (178) {G8,W5,D3,L1,V1,M1} P(163,18);d(171);d(171) { join( top
% 0.86/1.23 , Y ) ==> top }.
% 0.86/1.23 parent0: (2431) {G4,W5,D3,L1,V1,M1} { join( top, X ) = top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := Y
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2434) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.86/1.23 converse( join( converse( X ), Y ) ) }.
% 0.86/1.23 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.86/1.23 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2435) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.86/1.23 converse( top ) }.
% 0.86/1.23 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.86/1.23 top }.
% 0.86/1.23 parent1[0; 6]: (2434) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.86/1.23 converse( join( converse( X ), Y ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := converse( X )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 Y := top
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (209) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.86/1.23 ) ==> converse( top ) }.
% 0.86/1.23 parent0: (2435) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.86/1.23 converse( top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2437) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X, converse
% 0.86/1.23 ( top ) ) }.
% 0.86/1.23 parent0[0]: (209) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.86/1.23 ) ==> converse( top ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2439) {G3,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.86/1.23 parent0[0]: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 0.86/1.23 join( X, Y ) ), X ), Y ) ==> top }.
% 0.86/1.23 parent1[0; 3]: (2437) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 0.86/1.23 converse( top ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := converse( top )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := join( complement( join( X, converse( top ) ) ), X )
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (214) {G9,W4,D3,L1,V0,M1} P(209,21) { converse( top ) ==> top
% 0.86/1.23 }.
% 0.86/1.23 parent0: (2439) {G3,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2442) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.86/1.23 converse( composition( converse( X ), Y ) ) }.
% 0.86/1.23 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.86/1.23 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2445) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.86/1.23 ==> converse( converse( X ) ) }.
% 0.86/1.23 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.86/1.23 parent1[0; 6]: (2442) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.86/1.23 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := converse( X )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 Y := one
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2446) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.86/1.23 ==> X }.
% 0.86/1.23 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.86/1.23 parent1[0; 5]: (2445) {G1,W8,D4,L1,V1,M1} { composition( converse( one ),
% 0.86/1.23 X ) ==> converse( converse( X ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.86/1.23 ( one ), X ) ==> X }.
% 0.86/1.23 parent0: (2446) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.86/1.23 ==> X }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2448) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.86/1.23 ) }.
% 0.86/1.23 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.86/1.23 ( one ), X ) ==> X }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2450) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.86/1.23 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.86/1.23 parent1[0; 2]: (2448) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.86/1.23 one ), X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := converse( one )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := one
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2451) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.86/1.23 parent0[0]: (2450) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one
% 0.86/1.23 }.
% 0.86/1.23 parent0: (2451) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2453) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.86/1.23 ) }.
% 0.86/1.23 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.86/1.23 ( one ), X ) ==> X }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2454) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.86/1.23 parent0[0]: (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one
% 0.86/1.23 }.
% 0.86/1.23 parent1[0; 3]: (2453) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.86/1.23 one ), X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2455) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.86/1.23 parent0[0]: (2454) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 0.86/1.23 ==> X }.
% 0.86/1.23 parent0: (2455) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2457) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.86/1.23 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.23 complement( Y ) ) }.
% 0.86/1.23 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.86/1.23 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.86/1.23 Y ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2459) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.86/1.23 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.86/1.23 parent0[0]: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 0.86/1.23 ==> X }.
% 0.86/1.23 parent1[0; 8]: (2457) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.86/1.23 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.86/1.23 complement( Y ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := one
% 0.86/1.23 Y := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2460) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.86/1.23 ( X ), complement( X ) ) }.
% 0.86/1.23 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.86/1.23 ( one ), X ) ==> X }.
% 0.86/1.23 parent1[0; 4]: (2459) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.86/1.23 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := complement( X )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2461) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.86/1.23 ) ) ==> complement( X ) }.
% 0.86/1.23 parent0[0]: (2460) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.86/1.23 complement( X ), complement( X ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement
% 0.86/1.23 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.86/1.23 parent0: (2461) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.86/1.23 ) ) ==> complement( X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2463) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.86/1.23 complement( X ), complement( Y ) ) ) }.
% 0.86/1.23 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.86/1.23 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2478) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.86/1.23 complement( X ) ) }.
% 0.86/1.23 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 0.86/1.23 X ), complement( X ) ) ==> complement( X ) }.
% 0.86/1.23 parent1[0; 5]: (2463) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.86/1.23 join( complement( X ), complement( Y ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 Y := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2479) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.86/1.23 meet( X, X ) }.
% 0.86/1.23 parent0[0]: (2478) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.86/1.23 complement( X ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 subsumption: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 0.86/1.23 ) ) = meet( X, X ) }.
% 0.86/1.23 parent0: (2479) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.86/1.23 meet( X, X ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23 permutation0:
% 0.86/1.23 0 ==> 0
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 eqswap: (2481) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.86/1.23 ( join( complement( X ), Y ) ) ) }.
% 0.86/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.86/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := X
% 0.86/1.23 Y := Y
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2484) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 0.86/1.23 ) ), complement( converse( top ) ) ) }.
% 0.86/1.23 parent0[0]: (209) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.86/1.23 ) ==> converse( top ) }.
% 0.86/1.23 parent1[0; 8]: (2481) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.86/1.23 complement( join( complement( X ), Y ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 X := complement( X )
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 Y := converse( top )
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2486) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.86/1.23 ), complement( top ) ) }.
% 0.86/1.23 parent0[0]: (214) {G9,W4,D3,L1,V0,M1} P(209,21) { converse( top ) ==> top
% 0.86/1.23 }.
% 0.86/1.23 parent1[0; 8]: (2484) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.86/1.23 ( top ) ), complement( converse( top ) ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2487) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.86/1.23 complement( top ) ) }.
% 0.86/1.23 parent0[0]: (214) {G9,W4,D3,L1,V0,M1} P(209,21) { converse( top ) ==> top
% 0.86/1.23 }.
% 0.86/1.23 parent1[0; 5]: (2486) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.86/1.23 ( top ) ), complement( top ) ) }.
% 0.86/1.23 substitution0:
% 0.86/1.23 end
% 0.86/1.23 substitution1:
% 0.86/1.23 X := X
% 0.86/1.23 end
% 0.86/1.23
% 0.86/1.23 paramod: (2490) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.86/1.23 }.
% 0.86/1.23 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.86/1.23 zero }.
% 0.86/1.23 parent1[0; 6]: (2487) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.88/1.23 complement( top ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2491) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (2490) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (292) {G10,W7,D4,L1,V1,M1} P(209,29);d(214);d(53) { join( meet
% 0.88/1.23 ( X, top ), zero ) ==> X }.
% 0.88/1.23 parent0: (2491) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2493) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.88/1.23 ), complement( X ) ) }.
% 0.88/1.23 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.88/1.23 complement( Y ) ) ==> join( X, top ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2495) {G2,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.88/1.23 ( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 parent1[0; 9]: (2493) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.88/1.23 ( X, Y ), complement( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := meet( X, Y )
% 0.88/1.23 Y := complement( join( complement( X ), Y ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2496) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet( X
% 0.88/1.23 , Y ) ) ) }.
% 0.88/1.23 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.88/1.23 top }.
% 0.88/1.23 parent1[0; 1]: (2495) {G2,W14,D6,L1,V2,M1} { join( complement( join(
% 0.88/1.23 complement( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := complement( join( complement( X ), Y ) )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2497) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) ) )
% 0.88/1.23 ==> top }.
% 0.88/1.23 parent0[0]: (2496) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet
% 0.88/1.23 ( X, Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (307) {G8,W8,D5,L1,V2,M1} P(29,26);d(171) { join( X,
% 0.88/1.23 complement( meet( X, Y ) ) ) ==> top }.
% 0.88/1.23 parent0: (2497) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 0.88/1.23 ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2499) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.88/1.23 ( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2501) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.88/1.23 ( top ) ) }.
% 0.88/1.23 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.88/1.23 ==> top }.
% 0.88/1.23 parent1[0; 7]: (2499) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2502) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.88/1.23 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 6]: (2501) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.88/1.23 complement( top ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2503) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.88/1.23 parent0[0]: (2502) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (309) {G2,W7,D4,L1,V1,M1} P(17,29);d(53) { join( meet( X, X )
% 0.88/1.23 , zero ) ==> X }.
% 0.88/1.23 parent0: (2503) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2505) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.88/1.23 ( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2507) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 0.88/1.23 ( complement( X ), complement( X ) ) ) ) }.
% 0.88/1.23 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 3]: (2505) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := complement( X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2508) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.88/1.23 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.88/1.23 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.88/1.23 parent1[0; 4]: (2507) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 0.88/1.23 ( join( complement( X ), complement( X ) ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2509) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.88/1.23 parent0[0]: (2508) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (314) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X
% 0.88/1.23 , X ) ) ==> X }.
% 0.88/1.23 parent0: (2509) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2510) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (292) {G10,W7,D4,L1,V1,M1} P(209,29);d(214);d(53) { join( meet
% 0.88/1.23 ( X, top ), zero ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2511) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent1[0; 3]: (2510) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.88/1.23 zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := top
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2514) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (2511) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (325) {G11,W7,D4,L1,V1,M1} P(51,292) { join( meet( top, X ),
% 0.88/1.23 zero ) ==> X }.
% 0.88/1.23 parent0: (2514) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2516) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.88/1.23 ), complement( Y ) ) }.
% 0.88/1.23 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.88/1.23 complement( X ) ) ==> join( Y, top ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2518) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top ) ==>
% 0.88/1.23 join( X, complement( zero ) ) }.
% 0.88/1.23 parent0[0]: (292) {G10,W7,D4,L1,V1,M1} P(209,29);d(214);d(53) { join( meet
% 0.88/1.23 ( X, top ), zero ) ==> X }.
% 0.88/1.23 parent1[0; 7]: (2516) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.88/1.23 ( X, Y ), complement( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := meet( X, top )
% 0.88/1.23 Y := zero
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2519) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 0.88/1.23 ) }.
% 0.88/1.23 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.88/1.23 top }.
% 0.88/1.23 parent1[0; 1]: (2518) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top )
% 0.88/1.23 ==> join( X, complement( zero ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := meet( X, top )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2520) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==> top
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (2519) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero
% 0.88/1.23 ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (326) {G11,W6,D4,L1,V1,M1} P(292,20);d(171) { join( X,
% 0.88/1.23 complement( zero ) ) ==> top }.
% 0.88/1.23 parent0: (2520) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 0.88/1.23 top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2521) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (292) {G10,W7,D4,L1,V1,M1} P(209,29);d(214);d(53) { join( meet
% 0.88/1.23 ( X, top ), zero ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2522) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.88/1.23 parent1[0; 2]: (2521) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.88/1.23 zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := meet( X, top )
% 0.88/1.23 Y := zero
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2525) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (2522) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top )
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (327) {G11,W7,D4,L1,V1,M1} P(292,0) { join( zero, meet( X, top
% 0.88/1.23 ) ) ==> X }.
% 0.88/1.23 parent0: (2525) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2526) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 0.88/1.23 ) }.
% 0.88/1.23 parent0[0]: (326) {G11,W6,D4,L1,V1,M1} P(292,20);d(171) { join( X,
% 0.88/1.23 complement( zero ) ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2528) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 0.88/1.23 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 0.88/1.23 X ), complement( X ) ) ==> complement( X ) }.
% 0.88/1.23 parent1[0; 2]: (2526) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 0.88/1.23 zero ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := zero
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( zero )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2529) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 0.88/1.23 parent0[0]: (2528) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (329) {G12,W4,D3,L1,V0,M1} P(326,280) { complement( zero ) ==>
% 0.88/1.23 top }.
% 0.88/1.23 parent0: (2529) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2531) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.88/1.23 complement( X ), complement( Y ) ) ) }.
% 0.88/1.23 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.88/1.23 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2534) {G1,W9,D5,L1,V1,M1} { meet( zero, X ) ==> complement( join
% 0.88/1.23 ( top, complement( X ) ) ) }.
% 0.88/1.23 parent0[0]: (329) {G12,W4,D3,L1,V0,M1} P(326,280) { complement( zero ) ==>
% 0.88/1.23 top }.
% 0.88/1.23 parent1[0; 6]: (2531) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.88/1.23 join( complement( X ), complement( Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := zero
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2536) {G2,W6,D3,L1,V1,M1} { meet( zero, X ) ==> complement( top
% 0.88/1.23 ) }.
% 0.88/1.23 parent0[0]: (178) {G8,W5,D3,L1,V1,M1} P(163,18);d(171);d(171) { join( top,
% 0.88/1.23 Y ) ==> top }.
% 0.88/1.23 parent1[0; 5]: (2534) {G1,W9,D5,L1,V1,M1} { meet( zero, X ) ==> complement
% 0.88/1.23 ( join( top, complement( X ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := complement( X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2537) {G2,W5,D3,L1,V1,M1} { meet( zero, X ) ==> zero }.
% 0.88/1.23 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 4]: (2536) {G2,W6,D3,L1,V1,M1} { meet( zero, X ) ==> complement
% 0.88/1.23 ( top ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (332) {G13,W5,D3,L1,V1,M1} P(329,3);d(178);d(53) { meet( zero
% 0.88/1.23 , X ) ==> zero }.
% 0.88/1.23 parent0: (2537) {G2,W5,D3,L1,V1,M1} { meet( zero, X ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2539) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (325) {G11,W7,D4,L1,V1,M1} P(51,292) { join( meet( top, X ),
% 0.88/1.23 zero ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2540) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.88/1.23 parent1[0; 2]: (2539) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.88/1.23 zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := meet( top, X )
% 0.88/1.23 Y := zero
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2543) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (2540) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (339) {G12,W7,D4,L1,V1,M1} P(325,0) { join( zero, meet( top, X
% 0.88/1.23 ) ) ==> X }.
% 0.88/1.23 parent0: (2543) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2545) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.88/1.23 complement( X ), zero ) ) }.
% 0.88/1.23 parent0[0]: (55) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( complement
% 0.88/1.23 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2550) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.88/1.23 complement( join( meet( X, X ), zero ) ) }.
% 0.88/1.23 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 0.88/1.23 ) ) = meet( X, X ) }.
% 0.88/1.23 parent1[0; 7]: (2545) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.88/1.23 ( join( complement( X ), zero ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2551) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.88/1.23 complement( X ) }.
% 0.88/1.23 parent0[0]: (309) {G2,W7,D4,L1,V1,M1} P(17,29);d(53) { join( meet( X, X ),
% 0.88/1.23 zero ) ==> X }.
% 0.88/1.23 parent1[0; 6]: (2550) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top )
% 0.88/1.23 ==> complement( join( meet( X, X ), zero ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (353) {G7,W7,D4,L1,V1,M1} P(288,55);d(309) { meet( complement
% 0.88/1.23 ( X ), top ) ==> complement( X ) }.
% 0.88/1.23 parent0: (2551) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.88/1.23 complement( X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2554) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (327) {G11,W7,D4,L1,V1,M1} P(292,0) { join( zero, meet( X, top
% 0.88/1.23 ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2555) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.88/1.23 complement( X ) ) }.
% 0.88/1.23 parent0[0]: (353) {G7,W7,D4,L1,V1,M1} P(288,55);d(309) { meet( complement(
% 0.88/1.23 X ), top ) ==> complement( X ) }.
% 0.88/1.23 parent1[0; 5]: (2554) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X,
% 0.88/1.23 top ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2556) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.88/1.23 complement( X ) }.
% 0.88/1.23 parent0[0]: (2555) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.88/1.23 complement( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement
% 0.88/1.23 ( X ) ) ==> complement( X ) }.
% 0.88/1.23 parent0: (2556) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.88/1.23 complement( X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2558) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.88/1.23 complement( X ) ) }.
% 0.88/1.23 parent0[0]: (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement
% 0.88/1.23 ( X ) ) ==> complement( X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2561) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.88/1.23 join( zero, meet( X, X ) ) }.
% 0.88/1.23 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 0.88/1.23 ) ) = meet( X, X ) }.
% 0.88/1.23 parent1[0; 6]: (2558) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.88/1.23 zero, complement( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2562) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet( X
% 0.88/1.23 , X ) ) }.
% 0.88/1.23 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 0.88/1.23 ) ) = meet( X, X ) }.
% 0.88/1.23 parent1[0; 1]: (2561) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 0.88/1.23 ==> join( zero, meet( X, X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2565) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.88/1.23 parent0[0]: (314) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X,
% 0.88/1.23 X ) ) ==> X }.
% 0.88/1.23 parent1[0; 4]: (2562) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 0.88/1.23 meet( X, X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (371) {G13,W5,D3,L1,V1,M1} P(288,366);d(314) { meet( X, X )
% 0.88/1.23 ==> X }.
% 0.88/1.23 parent0: (2565) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2569) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement(
% 0.88/1.23 Y ) ) = join( complement( Y ), X ) }.
% 0.88/1.23 parent0[0]: (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement
% 0.88/1.23 ( X ) ) ==> complement( X ) }.
% 0.88/1.23 parent1[0; 8]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 0.88/1.23 X ) = join( join( Z, X ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( Y )
% 0.88/1.23 Y := X
% 0.88/1.23 Z := zero
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (372) {G13,W11,D4,L1,V2,M1} P(366,19) { join( join( zero, Y )
% 0.88/1.23 , complement( X ) ) ==> join( complement( X ), Y ) }.
% 0.88/1.23 parent0: (2569) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement(
% 0.88/1.23 Y ) ) = join( complement( Y ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2571) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.88/1.23 zero, complement( X ) ) ) }.
% 0.88/1.23 parent0[0]: (54) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( zero,
% 0.88/1.23 complement( X ) ) ) ==> meet( top, X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2578) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.88/1.23 complement( X ) ) }.
% 0.88/1.23 parent0[0]: (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement
% 0.88/1.23 ( X ) ) ==> complement( X ) }.
% 0.88/1.23 parent1[0; 5]: (2571) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.88/1.23 ( join( zero, complement( X ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (376) {G13,W7,D4,L1,V1,M1} P(366,54) { meet( top, X ) ==>
% 0.88/1.23 complement( complement( X ) ) }.
% 0.88/1.23 parent0: (2578) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.88/1.23 complement( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2581) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.88/1.23 complement( X ) ) }.
% 0.88/1.23 parent0[0]: (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement
% 0.88/1.23 ( X ) ) ==> complement( X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2586) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 0.88/1.23 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.88/1.23 parent0[0]: (54) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( zero,
% 0.88/1.23 complement( X ) ) ) ==> meet( top, X ) }.
% 0.88/1.23 parent1[0; 8]: (2581) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.88/1.23 zero, complement( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := join( zero, complement( X ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2587) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 0.88/1.23 ( top, X ) ) }.
% 0.88/1.23 parent0[0]: (54) {G2,W9,D5,L1,V1,M1} P(53,3) { complement( join( zero,
% 0.88/1.23 complement( X ) ) ) ==> meet( top, X ) }.
% 0.88/1.23 parent1[0; 1]: (2586) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.88/1.23 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2589) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.88/1.23 parent0[0]: (339) {G12,W7,D4,L1,V1,M1} P(325,0) { join( zero, meet( top, X
% 0.88/1.23 ) ) ==> X }.
% 0.88/1.23 parent1[0; 4]: (2587) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 0.88/1.23 , meet( top, X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2590) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (376) {G13,W7,D4,L1,V1,M1} P(366,54) { meet( top, X ) ==>
% 0.88/1.23 complement( complement( X ) ) }.
% 0.88/1.23 parent1[0; 1]: (2589) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) {
% 0.88/1.23 complement( complement( X ) ) ==> X }.
% 0.88/1.23 parent0: (2590) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2593) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.88/1.23 parent0[0]: (314) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X,
% 0.88/1.23 X ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2594) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 0.88/1.23 parent0[0]: (371) {G13,W5,D3,L1,V1,M1} P(288,366);d(314) { meet( X, X ) ==>
% 0.88/1.23 X }.
% 0.88/1.23 parent1[0; 4]: (2593) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X )
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2595) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 0.88/1.23 parent0[0]: (2594) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (379) {G14,W5,D3,L1,V1,M1} P(371,314) { join( zero, X ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0: (2595) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2597) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.88/1.23 parent0[0]: (309) {G2,W7,D4,L1,V1,M1} P(17,29);d(53) { join( meet( X, X ),
% 0.88/1.23 zero ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2598) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.88/1.23 parent0[0]: (371) {G13,W5,D3,L1,V1,M1} P(288,366);d(314) { meet( X, X ) ==>
% 0.88/1.23 X }.
% 0.88/1.23 parent1[0; 3]: (2597) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2599) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.88/1.23 parent0[0]: (2598) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0: (2599) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2601) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.88/1.23 converse( join( converse( X ), Y ) ) }.
% 0.88/1.23 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.88/1.23 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2603) {G2,W8,D4,L1,V1,M1} { join( X, converse( zero ) ) ==>
% 0.88/1.23 converse( converse( X ) ) }.
% 0.88/1.23 parent0[0]: (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent1[0; 6]: (2601) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.88/1.23 converse( join( converse( X ), Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := converse( X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := zero
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2604) {G1,W6,D4,L1,V1,M1} { join( X, converse( zero ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 5]: (2603) {G2,W8,D4,L1,V1,M1} { join( X, converse( zero ) )
% 0.88/1.23 ==> converse( converse( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (383) {G15,W6,D4,L1,V1,M1} P(380,42);d(7) { join( X, converse
% 0.88/1.23 ( zero ) ) ==> X }.
% 0.88/1.23 parent0: (2604) {G1,W6,D4,L1,V1,M1} { join( X, converse( zero ) ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2607) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.88/1.23 ( X ), complement( X ) ) }.
% 0.88/1.23 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 0.88/1.23 X ), complement( X ) ) ==> complement( X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2610) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.88/1.23 join( complement( complement( X ) ), X ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 8]: (2607) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.88/1.23 complement( X ), complement( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2612) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.88/1.23 join( X, X ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 5]: (2610) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.88/1.23 ==> join( complement( complement( X ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2613) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 1]: (2612) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.88/1.23 ==> join( X, X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2619) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.88/1.23 parent0[0]: (2613) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (386) {G15,W5,D3,L1,V1,M1} P(377,280) { join( X, X ) ==> X }.
% 0.88/1.23 parent0: (2619) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2623) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.88/1.23 complement( X ), complement( Y ) ) ) }.
% 0.88/1.23 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.88/1.23 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2627) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.88/1.23 complement( join( complement( X ), Y ) ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 9]: (2623) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.88/1.23 join( complement( X ), complement( Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := complement( Y )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2629) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.88/1.23 ) ) ==> meet( X, complement( Y ) ) }.
% 0.88/1.23 parent0[0]: (2627) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.88/1.23 complement( join( complement( X ), Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (389) {G15,W10,D5,L1,V2,M1} P(377,3) { complement( join(
% 0.88/1.23 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.88/1.23 parent0: (2629) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.88/1.23 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2631) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2636) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.88/1.23 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.88/1.23 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.88/1.23 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.88/1.23 parent1[0; 7]: (2631) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement
% 0.88/1.23 ( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := join( complement( X ), complement( Y ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (390) {G15,W10,D4,L1,V2,M1} P(3,377) { join( complement( X ),
% 0.88/1.23 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.88/1.23 parent0: (2636) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement(
% 0.88/1.23 Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2638) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.88/1.23 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(377,280) { join( X, X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2641) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 0.88/1.23 join( X, Y ) ), Y ) }.
% 0.88/1.23 parent0[0]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.88/1.23 = join( join( Z, X ), Y ) }.
% 0.88/1.23 parent1[0; 4]: (2638) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := join( X, Y )
% 0.88/1.23 Y := Y
% 0.88/1.23 Z := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := join( X, Y )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2643) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join(
% 0.88/1.23 X, X ), Y ), Y ) }.
% 0.88/1.23 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.88/1.23 join( X, Y ), Z ) }.
% 0.88/1.23 parent1[0; 5]: (2641) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.88/1.23 X, join( X, Y ) ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := X
% 0.88/1.23 Z := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2644) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.88/1.23 , Y ) }.
% 0.88/1.23 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(377,280) { join( X, X ) ==> X }.
% 0.88/1.23 parent1[0; 6]: (2643) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.88/1.23 join( X, X ), Y ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2645) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent0[0]: (2644) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.88/1.23 ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (391) {G16,W9,D4,L1,V2,M1} P(386,19);d(1);d(386) { join( join
% 0.88/1.23 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.88/1.23 parent0: (2645) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 0.88/1.23 , Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2654) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X, Y
% 0.88/1.23 ) }.
% 0.88/1.23 parent0[0]: (386) {G15,W5,D3,L1,V1,M1} P(377,280) { join( X, X ) ==> X }.
% 0.88/1.23 parent1[0; 7]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 0.88/1.23 X ) = join( join( Z, X ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 Z := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (392) {G16,W9,D4,L1,V2,M1} P(386,19) { join( join( X, Y ), X )
% 0.88/1.23 ==> join( X, Y ) }.
% 0.88/1.23 parent0: (2654) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X, Y
% 0.88/1.23 ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2655) {G15,W6,D4,L1,V1,M1} { X ==> join( X, converse( zero ) )
% 0.88/1.23 }.
% 0.88/1.23 parent0[0]: (383) {G15,W6,D4,L1,V1,M1} P(380,42);d(7) { join( X, converse(
% 0.88/1.23 zero ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2657) {G15,W4,D3,L1,V0,M1} { zero ==> converse( zero ) }.
% 0.88/1.23 parent0[0]: (379) {G14,W5,D3,L1,V1,M1} P(371,314) { join( zero, X ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent1[0; 2]: (2655) {G15,W6,D4,L1,V1,M1} { X ==> join( X, converse( zero
% 0.88/1.23 ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := converse( zero )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := zero
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2658) {G15,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 0.88/1.23 parent0[0]: (2657) {G15,W4,D3,L1,V0,M1} { zero ==> converse( zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (393) {G16,W4,D3,L1,V0,M1} P(383,379) { converse( zero ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent0: (2658) {G15,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2660) {G2,W10,D6,L1,V2,M1} { top ==> join( join( complement( join
% 0.88/1.23 ( X, Y ) ), X ), Y ) }.
% 0.88/1.23 parent0[0]: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 0.88/1.23 join( X, Y ) ), X ), Y ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2663) {G3,W11,D5,L1,V2,M1} { top ==> join( join( complement( top
% 0.88/1.23 ), X ), complement( meet( X, Y ) ) ) }.
% 0.88/1.23 parent0[0]: (307) {G8,W8,D5,L1,V2,M1} P(29,26);d(171) { join( X, complement
% 0.88/1.23 ( meet( X, Y ) ) ) ==> top }.
% 0.88/1.23 parent1[0; 5]: (2660) {G2,W10,D6,L1,V2,M1} { top ==> join( join(
% 0.88/1.23 complement( join( X, Y ) ), X ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := complement( meet( X, Y ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2664) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X ),
% 0.88/1.23 complement( meet( X, Y ) ) ) }.
% 0.88/1.23 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 4]: (2663) {G3,W11,D5,L1,V2,M1} { top ==> join( join(
% 0.88/1.23 complement( top ), X ), complement( meet( X, Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2665) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X, Y
% 0.88/1.23 ) ), X ) }.
% 0.88/1.23 parent0[0]: (372) {G13,W11,D4,L1,V2,M1} P(366,19) { join( join( zero, Y ),
% 0.88/1.23 complement( X ) ) ==> join( complement( X ), Y ) }.
% 0.88/1.23 parent1[0; 2]: (2664) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X )
% 0.88/1.23 , complement( meet( X, Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := meet( X, Y )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2666) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X )
% 0.88/1.23 ==> top }.
% 0.88/1.23 parent0[0]: (2665) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X
% 0.88/1.23 , Y ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (425) {G14,W8,D5,L1,V2,M1} P(307,21);d(53);d(372) { join(
% 0.88/1.23 complement( meet( X, Y ) ), X ) ==> top }.
% 0.88/1.23 parent0: (2666) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X
% 0.88/1.23 ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2667) {G14,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X, Y
% 0.88/1.23 ) ), X ) }.
% 0.88/1.23 parent0[0]: (425) {G14,W8,D5,L1,V2,M1} P(307,21);d(53);d(372) { join(
% 0.88/1.23 complement( meet( X, Y ) ), X ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2668) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet( Y, X
% 0.88/1.23 ) ), X ) }.
% 0.88/1.23 parent0[0]: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent1[0; 4]: (2667) {G14,W8,D5,L1,V2,M1} { top ==> join( complement(
% 0.88/1.23 meet( X, Y ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2671) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y )
% 0.88/1.23 ==> top }.
% 0.88/1.23 parent0[0]: (2668) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet( Y
% 0.88/1.23 , X ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (438) {G15,W8,D5,L1,V2,M1} P(51,425) { join( complement( meet
% 0.88/1.23 ( Y, X ) ), X ) ==> top }.
% 0.88/1.23 parent0: (2671) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y
% 0.88/1.23 ) ==> top }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2673) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.88/1.23 ( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2676) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet(
% 0.88/1.23 X, Y ), Y ), complement( top ) ) }.
% 0.88/1.23 parent0[0]: (438) {G15,W8,D5,L1,V2,M1} P(51,425) { join( complement( meet(
% 0.88/1.23 Y, X ) ), X ) ==> top }.
% 0.88/1.23 parent1[0; 11]: (2673) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := meet( X, Y )
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2677) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet(
% 0.88/1.23 X, Y ), Y ), zero ) }.
% 0.88/1.23 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 10]: (2676) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 0.88/1.23 ( meet( X, Y ), Y ), complement( top ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2678) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.88/1.23 , Y ) }.
% 0.88/1.23 parent0[0]: (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent1[0; 4]: (2677) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet(
% 0.88/1.23 meet( X, Y ), Y ), zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := meet( meet( X, Y ), Y )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2679) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent0[0]: (2678) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y
% 0.88/1.23 ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (441) {G16,W9,D4,L1,V2,M1} P(438,29);d(53);d(380) { meet( meet
% 0.88/1.23 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 0.88/1.23 parent0: (2679) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X
% 0.88/1.23 , Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2681) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.88/1.23 complement( X ), complement( Y ) ) ) }.
% 0.88/1.23 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.88/1.23 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2683) {G1,W9,D5,L1,V2,M1} { meet( meet( X, complement( Y ) ), Y
% 0.88/1.23 ) ==> complement( top ) }.
% 0.88/1.23 parent0[0]: (438) {G15,W8,D5,L1,V2,M1} P(51,425) { join( complement( meet(
% 0.88/1.23 Y, X ) ), X ) ==> top }.
% 0.88/1.23 parent1[0; 8]: (2681) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.88/1.23 join( complement( X ), complement( Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := complement( Y )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := meet( X, complement( Y ) )
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2684) {G2,W8,D5,L1,V2,M1} { meet( meet( X, complement( Y ) ), Y
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 parent0[0]: (53) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 7]: (2683) {G1,W9,D5,L1,V2,M1} { meet( meet( X, complement( Y )
% 0.88/1.23 ), Y ) ==> complement( top ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (446) {G16,W8,D5,L1,V2,M1} P(438,3);d(53) { meet( meet( X,
% 0.88/1.23 complement( Y ) ), Y ) ==> zero }.
% 0.88/1.23 parent0: (2684) {G2,W8,D5,L1,V2,M1} { meet( meet( X, complement( Y ) ), Y
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2687) {G16,W8,D5,L1,V2,M1} { zero ==> meet( meet( X, complement(
% 0.88/1.23 Y ) ), Y ) }.
% 0.88/1.23 parent0[0]: (446) {G16,W8,D5,L1,V2,M1} P(438,3);d(53) { meet( meet( X,
% 0.88/1.23 complement( Y ) ), Y ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2688) {G15,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.88/1.23 complement( Y ) ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 5]: (2687) {G16,W8,D5,L1,V2,M1} { zero ==> meet( meet( X,
% 0.88/1.23 complement( Y ) ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := complement( Y )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2689) {G15,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y )
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 parent0[0]: (2688) {G15,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.88/1.23 complement( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (448) {G17,W8,D4,L1,V2,M1} P(377,446) { meet( meet( Y, X ),
% 0.88/1.23 complement( X ) ) ==> zero }.
% 0.88/1.23 parent0: (2689) {G15,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y )
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2690) {G16,W8,D5,L1,V2,M1} { zero ==> meet( meet( X, complement(
% 0.88/1.23 Y ) ), Y ) }.
% 0.88/1.23 parent0[0]: (446) {G16,W8,D5,L1,V2,M1} P(438,3);d(53) { meet( meet( X,
% 0.88/1.23 complement( Y ) ), Y ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2691) {G2,W8,D5,L1,V2,M1} { zero ==> meet( Y, meet( X,
% 0.88/1.23 complement( Y ) ) ) }.
% 0.88/1.23 parent0[0]: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent1[0; 2]: (2690) {G16,W8,D5,L1,V2,M1} { zero ==> meet( meet( X,
% 0.88/1.23 complement( Y ) ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := meet( X, complement( Y ) )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2695) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) ) )
% 0.88/1.23 ==> zero }.
% 0.88/1.23 parent0[0]: (2691) {G2,W8,D5,L1,V2,M1} { zero ==> meet( Y, meet( X,
% 0.88/1.23 complement( Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (449) {G17,W8,D5,L1,V2,M1} P(446,51) { meet( Y, meet( X,
% 0.88/1.23 complement( Y ) ) ) ==> zero }.
% 0.88/1.23 parent0: (2695) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2699) {G17,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.88/1.23 complement( Y ) ) }.
% 0.88/1.23 parent0[0]: (448) {G17,W8,D4,L1,V2,M1} P(377,446) { meet( meet( Y, X ),
% 0.88/1.23 complement( X ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2700) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( Y ), meet
% 0.88/1.23 ( X, Y ) ) }.
% 0.88/1.23 parent0[0]: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent1[0; 2]: (2699) {G17,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 0.88/1.23 complement( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := complement( Y )
% 0.88/1.23 Y := meet( X, Y )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2704) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X ) )
% 0.88/1.23 ==> zero }.
% 0.88/1.23 parent0[0]: (2700) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( Y ),
% 0.88/1.23 meet( X, Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (450) {G18,W8,D4,L1,V2,M1} P(448,51) { meet( complement( Y ),
% 0.88/1.23 meet( X, Y ) ) ==> zero }.
% 0.88/1.23 parent0: (2704) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X )
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2708) {G18,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ), meet
% 0.88/1.23 ( Y, X ) ) }.
% 0.88/1.23 parent0[0]: (450) {G18,W8,D4,L1,V2,M1} P(448,51) { meet( complement( Y ),
% 0.88/1.23 meet( X, Y ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2710) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ), meet
% 0.88/1.23 ( X, Y ) ) }.
% 0.88/1.23 parent0[0]: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent1[0; 5]: (2708) {G18,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 0.88/1.23 ), meet( Y, X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2716) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( X, Y ) )
% 0.88/1.23 ==> zero }.
% 0.88/1.23 parent0[0]: (2710) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 0.88/1.23 meet( X, Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (453) {G19,W8,D4,L1,V2,M1} P(51,450) { meet( complement( Y ),
% 0.88/1.23 meet( Y, X ) ) ==> zero }.
% 0.88/1.23 parent0: (2716) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( X, Y )
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2718) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.88/1.23 ( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2721) {G2,W12,D7,L1,V2,M1} { X ==> join( zero, complement( join
% 0.88/1.23 ( complement( X ), meet( Y, complement( X ) ) ) ) ) }.
% 0.88/1.23 parent0[0]: (449) {G17,W8,D5,L1,V2,M1} P(446,51) { meet( Y, meet( X,
% 0.88/1.23 complement( Y ) ) ) ==> zero }.
% 0.88/1.23 parent1[0; 3]: (2718) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := meet( Y, complement( X ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2722) {G3,W10,D6,L1,V2,M1} { X ==> complement( join( complement
% 0.88/1.23 ( X ), meet( Y, complement( X ) ) ) ) }.
% 0.88/1.23 parent0[0]: (366) {G12,W7,D4,L1,V1,M1} P(353,327) { join( zero, complement
% 0.88/1.23 ( X ) ) ==> complement( X ) }.
% 0.88/1.23 parent1[0; 2]: (2721) {G2,W12,D7,L1,V2,M1} { X ==> join( zero, complement
% 0.88/1.23 ( join( complement( X ), meet( Y, complement( X ) ) ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := join( complement( X ), meet( Y, complement( X ) ) )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2723) {G4,W9,D6,L1,V2,M1} { X ==> meet( X, complement( meet( Y,
% 0.88/1.23 complement( X ) ) ) ) }.
% 0.88/1.23 parent0[0]: (389) {G15,W10,D5,L1,V2,M1} P(377,3) { complement( join(
% 0.88/1.23 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.88/1.23 parent1[0; 2]: (2722) {G3,W10,D6,L1,V2,M1} { X ==> complement( join(
% 0.88/1.23 complement( X ), meet( Y, complement( X ) ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := meet( Y, complement( X ) )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2724) {G4,W9,D6,L1,V2,M1} { meet( X, complement( meet( Y,
% 0.88/1.23 complement( X ) ) ) ) ==> X }.
% 0.88/1.23 parent0[0]: (2723) {G4,W9,D6,L1,V2,M1} { X ==> meet( X, complement( meet(
% 0.88/1.23 Y, complement( X ) ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (455) {G18,W9,D6,L1,V2,M1} P(449,29);d(366);d(389) { meet( X,
% 0.88/1.23 complement( meet( Y, complement( X ) ) ) ) ==> X }.
% 0.88/1.23 parent0: (2724) {G4,W9,D6,L1,V2,M1} { meet( X, complement( meet( Y,
% 0.88/1.23 complement( X ) ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2725) {G16,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.88/1.23 , Y ) }.
% 0.88/1.23 parent0[0]: (441) {G16,W9,D4,L1,V2,M1} P(438,29);d(53);d(380) { meet( meet
% 0.88/1.23 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2728) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X, Y
% 0.88/1.23 ) ) }.
% 0.88/1.23 parent0[0]: (51) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent1[0; 4]: (2725) {G16,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet(
% 0.88/1.23 X, Y ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := meet( X, Y )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2741) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X,
% 0.88/1.23 Y ) }.
% 0.88/1.23 parent0[0]: (2728) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X
% 0.88/1.23 , Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (466) {G17,W9,D4,L1,V2,M1} P(441,51) { meet( Y, meet( X, Y ) )
% 0.88/1.23 ==> meet( X, Y ) }.
% 0.88/1.23 parent0: (2741) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 0.88/1.23 , Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2743) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.88/1.23 , Y ) }.
% 0.88/1.23 parent0[0]: (391) {G16,W9,D4,L1,V2,M1} P(386,19);d(1);d(386) { join( join(
% 0.88/1.23 X, Y ), Y ) ==> join( X, Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2746) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.88/1.23 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.88/1.23 ( X ), Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 parent1[0; 11]: (2743) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 0.88/1.23 ( X, Y ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := meet( X, Y )
% 0.88/1.23 Y := complement( join( complement( X ), Y ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2747) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.88/1.23 complement( X ), Y ) ) ) }.
% 0.88/1.23 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 parent1[0; 1]: (2746) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.88/1.23 ( complement( X ), Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2754) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.88/1.23 Y ) ) ) }.
% 0.88/1.23 parent0[0]: (389) {G15,W10,D5,L1,V2,M1} P(377,3) { complement( join(
% 0.88/1.23 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.88/1.23 parent1[0; 4]: (2747) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.88/1.23 join( complement( X ), Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2755) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.88/1.23 ==> X }.
% 0.88/1.23 parent0[0]: (2754) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.88/1.23 complement( Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (477) {G17,W8,D5,L1,V2,M1} P(29,391);d(389) { join( X, meet( X
% 0.88/1.23 , complement( Y ) ) ) ==> X }.
% 0.88/1.23 parent0: (2755) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.88/1.23 ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2757) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.88/1.23 Y ) ) ) }.
% 0.88/1.23 parent0[0]: (477) {G17,W8,D5,L1,V2,M1} P(29,391);d(389) { join( X, meet( X
% 0.88/1.23 , complement( Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2758) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 6]: (2757) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.88/1.23 complement( Y ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := complement( Y )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2759) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.88/1.23 parent0[0]: (2758) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (480) {G18,W7,D4,L1,V2,M1} P(377,477) { join( Y, meet( Y, X )
% 0.88/1.23 ) ==> Y }.
% 0.88/1.23 parent0: (2759) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2761) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.88/1.23 parent0[0]: (480) {G18,W7,D4,L1,V2,M1} P(377,477) { join( Y, meet( Y, X ) )
% 0.88/1.23 ==> Y }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2762) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.88/1.23 parent0[0]: (466) {G17,W9,D4,L1,V2,M1} P(441,51) { meet( Y, meet( X, Y ) )
% 0.88/1.23 ==> meet( X, Y ) }.
% 0.88/1.23 parent1[0; 4]: (2761) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := meet( Y, X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2763) {G18,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.88/1.23 parent0[0]: (2762) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (491) {G19,W7,D4,L1,V2,M1} P(466,480) { join( X, meet( Y, X )
% 0.88/1.23 ) ==> X }.
% 0.88/1.23 parent0: (2763) {G18,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2764) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.88/1.23 parent0[0]: (491) {G19,W7,D4,L1,V2,M1} P(466,480) { join( X, meet( Y, X ) )
% 0.88/1.23 ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2765) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 0.88/1.23 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.88/1.23 parent1[0; 2]: (2764) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := meet( Y, X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2768) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 0.88/1.23 parent0[0]: (2765) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (509) {G20,W7,D4,L1,V2,M1} P(491,0) { join( meet( Y, X ), X )
% 0.88/1.23 ==> X }.
% 0.88/1.23 parent0: (2768) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2770) {G17,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( X, meet( Y, X
% 0.88/1.23 ) ) }.
% 0.88/1.23 parent0[0]: (466) {G17,W9,D4,L1,V2,M1} P(441,51) { meet( Y, meet( X, Y ) )
% 0.88/1.23 ==> meet( X, Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2772) {G18,W15,D6,L1,V2,M1} { meet( X, complement( meet( Y,
% 0.88/1.23 complement( X ) ) ) ) ==> meet( complement( meet( Y, complement( X ) ) )
% 0.88/1.23 , X ) }.
% 0.88/1.23 parent0[0]: (455) {G18,W9,D6,L1,V2,M1} P(449,29);d(366);d(389) { meet( X,
% 0.88/1.23 complement( meet( Y, complement( X ) ) ) ) ==> X }.
% 0.88/1.23 parent1[0; 14]: (2770) {G17,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( X,
% 0.88/1.23 meet( Y, X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( meet( Y, complement( X ) ) )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2773) {G19,W9,D6,L1,V2,M1} { X ==> meet( complement( meet( Y,
% 0.88/1.23 complement( X ) ) ), X ) }.
% 0.88/1.23 parent0[0]: (455) {G18,W9,D6,L1,V2,M1} P(449,29);d(366);d(389) { meet( X,
% 0.88/1.23 complement( meet( Y, complement( X ) ) ) ) ==> X }.
% 0.88/1.23 parent1[0; 1]: (2772) {G18,W15,D6,L1,V2,M1} { meet( X, complement( meet( Y
% 0.88/1.23 , complement( X ) ) ) ) ==> meet( complement( meet( Y, complement( X ) )
% 0.88/1.23 ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2775) {G19,W9,D6,L1,V2,M1} { meet( complement( meet( Y,
% 0.88/1.23 complement( X ) ) ), X ) ==> X }.
% 0.88/1.23 parent0[0]: (2773) {G19,W9,D6,L1,V2,M1} { X ==> meet( complement( meet( Y
% 0.88/1.23 , complement( X ) ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (615) {G19,W9,D6,L1,V2,M1} P(455,466) { meet( complement( meet
% 0.88/1.23 ( Y, complement( X ) ) ), X ) ==> X }.
% 0.88/1.23 parent0: (2775) {G19,W9,D6,L1,V2,M1} { meet( complement( meet( Y,
% 0.88/1.23 complement( X ) ) ), X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2778) {G15,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==> join
% 0.88/1.23 ( complement( X ), complement( Y ) ) }.
% 0.88/1.23 parent0[0]: (390) {G15,W10,D4,L1,V2,M1} P(3,377) { join( complement( X ),
% 0.88/1.23 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2779) {G15,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.88/1.23 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 7]: (2778) {G15,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 0.88/1.23 ==> join( complement( X ), complement( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( X )
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (639) {G16,W10,D5,L1,V2,M1} P(377,390) { complement( meet(
% 0.88/1.23 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.88/1.23 parent0: (2779) {G15,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 0.88/1.23 , Y ) ) ==> join( X, complement( Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2784) {G19,W9,D6,L1,V2,M1} { Y ==> meet( complement( meet( X,
% 0.88/1.23 complement( Y ) ) ), Y ) }.
% 0.88/1.23 parent0[0]: (615) {G19,W9,D6,L1,V2,M1} P(455,466) { meet( complement( meet
% 0.88/1.23 ( Y, complement( X ) ) ), X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2787) {G17,W9,D6,L1,V2,M1} { X ==> meet( join( Y, complement(
% 0.88/1.23 complement( X ) ) ), X ) }.
% 0.88/1.23 parent0[0]: (639) {G16,W10,D5,L1,V2,M1} P(377,390) { complement( meet(
% 0.88/1.23 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.88/1.23 parent1[0; 3]: (2784) {G19,W9,D6,L1,V2,M1} { Y ==> meet( complement( meet
% 0.88/1.23 ( X, complement( Y ) ) ), Y ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := complement( X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( Y )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2789) {G15,W7,D4,L1,V2,M1} { X ==> meet( join( Y, X ), X ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 5]: (2787) {G17,W9,D6,L1,V2,M1} { X ==> meet( join( Y,
% 0.88/1.23 complement( complement( X ) ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2790) {G15,W7,D4,L1,V2,M1} { meet( join( Y, X ), X ) ==> X }.
% 0.88/1.23 parent0[0]: (2789) {G15,W7,D4,L1,V2,M1} { X ==> meet( join( Y, X ), X )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (763) {G20,W7,D4,L1,V2,M1} P(639,615);d(377) { meet( join( X,
% 0.88/1.23 Y ), Y ) ==> Y }.
% 0.88/1.23 parent0: (2790) {G15,W7,D4,L1,V2,M1} { meet( join( Y, X ), X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2792) {G20,W7,D4,L1,V2,M1} { Y ==> meet( join( X, Y ), Y ) }.
% 0.88/1.23 parent0[0]: (763) {G20,W7,D4,L1,V2,M1} P(639,615);d(377) { meet( join( X, Y
% 0.88/1.23 ), Y ) ==> Y }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2793) {G17,W7,D4,L1,V2,M1} { X ==> meet( join( X, Y ), X ) }.
% 0.88/1.23 parent0[0]: (392) {G16,W9,D4,L1,V2,M1} P(386,19) { join( join( X, Y ), X )
% 0.88/1.23 ==> join( X, Y ) }.
% 0.88/1.23 parent1[0; 3]: (2792) {G20,W7,D4,L1,V2,M1} { Y ==> meet( join( X, Y ), Y )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := join( X, Y )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2794) {G17,W7,D4,L1,V2,M1} { meet( join( X, Y ), X ) ==> X }.
% 0.88/1.23 parent0[0]: (2793) {G17,W7,D4,L1,V2,M1} { X ==> meet( join( X, Y ), X )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (787) {G21,W7,D4,L1,V2,M1} P(392,763) { meet( join( X, Y ), X
% 0.88/1.23 ) ==> X }.
% 0.88/1.23 parent0: (2794) {G17,W7,D4,L1,V2,M1} { meet( join( X, Y ), X ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2796) {G19,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ), meet
% 0.88/1.23 ( X, Y ) ) }.
% 0.88/1.23 parent0[0]: (453) {G19,W8,D4,L1,V2,M1} P(51,450) { meet( complement( Y ),
% 0.88/1.23 meet( Y, X ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2797) {G20,W8,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 0.88/1.23 , Y ) ), X ) }.
% 0.88/1.23 parent0[0]: (787) {G21,W7,D4,L1,V2,M1} P(392,763) { meet( join( X, Y ), X )
% 0.88/1.23 ==> X }.
% 0.88/1.23 parent1[0; 7]: (2796) {G19,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 0.88/1.23 ), meet( X, Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := join( X, Y )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2798) {G20,W8,D5,L1,V2,M1} { meet( complement( join( X, Y ) ), X
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 parent0[0]: (2797) {G20,W8,D5,L1,V2,M1} { zero ==> meet( complement( join
% 0.88/1.23 ( X, Y ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (806) {G22,W8,D5,L1,V2,M1} P(787,453) { meet( complement( join
% 0.88/1.23 ( X, Y ) ), X ) ==> zero }.
% 0.88/1.23 parent0: (2798) {G20,W8,D5,L1,V2,M1} { meet( complement( join( X, Y ) ), X
% 0.88/1.23 ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2801) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.88/1.23 complement( composition( X, top ) ) ) ==> zero }.
% 0.88/1.23 parent0[0]: (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent1[0; 1]: (81) {G2,W11,D6,L1,V1,M1} P(53,10) { join( composition(
% 0.88/1.23 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := composition( converse( X ), complement( composition( X, top ) ) )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (871) {G15,W9,D5,L1,V1,M1} S(81);d(380) { composition(
% 0.88/1.23 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.88/1.23 parent0: (2801) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.88/1.23 complement( composition( X, top ) ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2804) {G15,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 0.88/1.23 , complement( composition( X, top ) ) ) }.
% 0.88/1.23 parent0[0]: (871) {G15,W9,D5,L1,V1,M1} S(81);d(380) { composition( converse
% 0.88/1.23 ( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2805) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.88/1.23 complement( composition( top, top ) ) ) }.
% 0.88/1.23 parent0[0]: (214) {G9,W4,D3,L1,V0,M1} P(209,21) { converse( top ) ==> top
% 0.88/1.23 }.
% 0.88/1.23 parent1[0; 3]: (2804) {G15,W9,D5,L1,V1,M1} { zero ==> composition(
% 0.88/1.23 converse( X ), complement( composition( X, top ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := top
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2806) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.88/1.23 composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent0[0]: (2805) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.88/1.23 complement( composition( top, top ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (942) {G16,W8,D5,L1,V0,M1} P(214,871) { composition( top,
% 0.88/1.23 complement( composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent0: (2806) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.88/1.23 composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2808) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 0.88/1.23 join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.88/1.23 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.88/1.23 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Z
% 0.88/1.23 Z := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2813) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.88/1.23 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.88/1.23 complement( composition( top, top ) ) ), zero ) }.
% 0.88/1.23 parent0[0]: (942) {G16,W8,D5,L1,V0,M1} P(214,871) { composition( top,
% 0.88/1.23 complement( composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent1[0; 16]: (2808) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y
% 0.88/1.23 ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := complement( composition( top, top ) )
% 0.88/1.23 Z := top
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2814) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.88/1.23 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.88/1.23 composition( top, top ) ) ) }.
% 0.88/1.23 parent0[0]: (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X
% 0.88/1.23 }.
% 0.88/1.23 parent1[0; 9]: (2813) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.88/1.23 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.88/1.23 complement( composition( top, top ) ) ), zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := composition( X, complement( composition( top, top ) ) )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2815) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 0.88/1.23 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 0.88/1.23 top, top ) ) ) }.
% 0.88/1.23 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.88/1.23 top }.
% 0.88/1.23 parent1[0; 2]: (2814) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.88/1.23 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.88/1.23 composition( top, top ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2816) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 0.88/1.23 ( composition( top, top ) ) ) }.
% 0.88/1.23 parent0[0]: (942) {G16,W8,D5,L1,V0,M1} P(214,871) { composition( top,
% 0.88/1.23 complement( composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent1[0; 1]: (2815) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 0.88/1.23 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 0.88/1.23 ( top, top ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2817) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.88/1.23 composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent0[0]: (2816) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 0.88/1.23 complement( composition( top, top ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (947) {G17,W8,D5,L1,V1,M1} P(942,6);d(380);d(171);d(942) {
% 0.88/1.23 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent0: (2817) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.88/1.23 composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2819) {G0,W11,D4,L1,V3,M1} { composition( composition( X, Y ), Z
% 0.88/1.23 ) ==> composition( X, composition( Y, Z ) ) }.
% 0.88/1.23 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.88/1.23 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 Z := Z
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2822) {G1,W12,D5,L1,V1,M1} { composition( composition( X, top )
% 0.88/1.23 , complement( composition( top, top ) ) ) ==> composition( X, zero ) }.
% 0.88/1.23 parent0[0]: (942) {G16,W8,D5,L1,V0,M1} P(214,871) { composition( top,
% 0.88/1.23 complement( composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent1[0; 11]: (2819) {G0,W11,D4,L1,V3,M1} { composition( composition( X
% 0.88/1.23 , Y ), Z ) ==> composition( X, composition( Y, Z ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := top
% 0.88/1.23 Z := complement( composition( top, top ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2823) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero ) }.
% 0.88/1.23 parent0[0]: (947) {G17,W8,D5,L1,V1,M1} P(942,6);d(380);d(171);d(942) {
% 0.88/1.23 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.88/1.23 parent1[0; 1]: (2822) {G1,W12,D5,L1,V1,M1} { composition( composition( X,
% 0.88/1.23 top ), complement( composition( top, top ) ) ) ==> composition( X, zero )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := composition( X, top )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2824) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.88/1.23 parent0[0]: (2823) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero )
% 0.88/1.23 }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (948) {G18,W5,D3,L1,V1,M1} P(942,4);d(947) { composition( X,
% 0.88/1.23 zero ) ==> zero }.
% 0.88/1.23 parent0: (2824) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2826) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.88/1.23 converse( composition( converse( X ), Y ) ) }.
% 0.88/1.23 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.88/1.23 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2829) {G2,W7,D4,L1,V1,M1} { composition( converse( zero ), X )
% 0.88/1.23 ==> converse( zero ) }.
% 0.88/1.23 parent0[0]: (948) {G18,W5,D3,L1,V1,M1} P(942,4);d(947) { composition( X,
% 0.88/1.23 zero ) ==> zero }.
% 0.88/1.23 parent1[0; 6]: (2826) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.88/1.23 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := converse( X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := zero
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2831) {G3,W6,D4,L1,V1,M1} { composition( converse( zero ), X )
% 0.88/1.23 ==> zero }.
% 0.88/1.23 parent0[0]: (393) {G16,W4,D3,L1,V0,M1} P(383,379) { converse( zero ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 5]: (2829) {G2,W7,D4,L1,V1,M1} { composition( converse( zero )
% 0.88/1.23 , X ) ==> converse( zero ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2832) {G4,W5,D3,L1,V1,M1} { composition( zero, X ) ==> zero }.
% 0.88/1.23 parent0[0]: (393) {G16,W4,D3,L1,V0,M1} P(383,379) { converse( zero ) ==>
% 0.88/1.23 zero }.
% 0.88/1.23 parent1[0; 2]: (2831) {G3,W6,D4,L1,V1,M1} { composition( converse( zero )
% 0.88/1.23 , X ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (952) {G19,W5,D3,L1,V1,M1} P(948,37);d(393) { composition(
% 0.88/1.23 zero, X ) ==> zero }.
% 0.88/1.23 parent0: (2832) {G4,W5,D3,L1,V1,M1} { composition( zero, X ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2838) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.88/1.23 complement( Y ) ) ) ==> X }.
% 0.88/1.23 parent0[0]: (389) {G15,W10,D5,L1,V2,M1} P(377,3) { complement( join(
% 0.88/1.23 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.88/1.23 parent1[0; 5]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.88/1.23 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := Y
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (1002) {G16,W10,D5,L1,V2,M1} S(29);d(389) { join( meet( X, Y )
% 0.88/1.23 , meet( X, complement( Y ) ) ) ==> X }.
% 0.88/1.23 parent0: (2838) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 0.88/1.23 complement( Y ) ) ) ==> X }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2841) {G22,W8,D5,L1,V2,M1} { zero ==> meet( complement( join( X,
% 0.88/1.23 Y ) ), X ) }.
% 0.88/1.23 parent0[0]: (806) {G22,W8,D5,L1,V2,M1} P(787,453) { meet( complement( join
% 0.88/1.23 ( X, Y ) ), X ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2843) {G2,W11,D5,L1,V1,M1} { zero ==> meet( complement(
% 0.88/1.23 complement( one ) ), composition( converse( X ), complement( X ) ) ) }.
% 0.88/1.23 parent0[0]: (88) {G1,W11,D5,L1,V1,M1} P(5,10) { join( composition( converse
% 0.88/1.23 ( X ), complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 0.88/1.23 parent1[0; 4]: (2841) {G22,W8,D5,L1,V2,M1} { zero ==> meet( complement(
% 0.88/1.23 join( X, Y ) ), X ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := composition( converse( X ), complement( X ) )
% 0.88/1.23 Y := complement( one )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2844) {G3,W9,D5,L1,V1,M1} { zero ==> meet( one, composition(
% 0.88/1.23 converse( X ), complement( X ) ) ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 3]: (2843) {G2,W11,D5,L1,V1,M1} { zero ==> meet( complement(
% 0.88/1.23 complement( one ) ), composition( converse( X ), complement( X ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := one
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2845) {G3,W9,D5,L1,V1,M1} { meet( one, composition( converse( X )
% 0.88/1.23 , complement( X ) ) ) ==> zero }.
% 0.88/1.23 parent0[0]: (2844) {G3,W9,D5,L1,V1,M1} { zero ==> meet( one, composition(
% 0.88/1.23 converse( X ), complement( X ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (1027) {G23,W9,D5,L1,V1,M1} P(88,806);d(377) { meet( one,
% 0.88/1.23 composition( converse( X ), complement( X ) ) ) ==> zero }.
% 0.88/1.23 parent0: (2845) {G3,W9,D5,L1,V1,M1} { meet( one, composition( converse( X
% 0.88/1.23 ), complement( X ) ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2847) {G23,W9,D5,L1,V1,M1} { zero ==> meet( one, composition(
% 0.88/1.23 converse( X ), complement( X ) ) ) }.
% 0.88/1.23 parent0[0]: (1027) {G23,W9,D5,L1,V1,M1} P(88,806);d(377) { meet( one,
% 0.88/1.23 composition( converse( X ), complement( X ) ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2848) {G15,W9,D6,L1,V1,M1} { zero ==> meet( one, composition(
% 0.88/1.23 converse( complement( X ) ), X ) ) }.
% 0.88/1.23 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.23 ( complement( X ) ) ==> X }.
% 0.88/1.23 parent1[0; 8]: (2847) {G23,W9,D5,L1,V1,M1} { zero ==> meet( one,
% 0.88/1.23 composition( converse( X ), complement( X ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := complement( X )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2849) {G15,W9,D6,L1,V1,M1} { meet( one, composition( converse(
% 0.88/1.23 complement( X ) ), X ) ) ==> zero }.
% 0.88/1.23 parent0[0]: (2848) {G15,W9,D6,L1,V1,M1} { zero ==> meet( one, composition
% 0.88/1.23 ( converse( complement( X ) ), X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (1381) {G24,W9,D6,L1,V1,M1} P(377,1027) { meet( one,
% 0.88/1.23 composition( converse( complement( X ) ), X ) ) ==> zero }.
% 0.88/1.23 parent0: (2849) {G15,W9,D6,L1,V1,M1} { meet( one, composition( converse(
% 0.88/1.23 complement( X ) ), X ) ) ==> zero }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 0 ==> 0
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 eqswap: (2851) {G0,W27,D8,L1,V3,M1} { meet( composition( meet( X,
% 0.88/1.23 composition( Z, converse( Y ) ) ), Y ), Z ) ==> join( meet( composition(
% 0.88/1.23 X, Y ), Z ), meet( composition( meet( X, composition( Z, converse( Y ) )
% 0.88/1.23 ), Y ), Z ) ) }.
% 0.88/1.23 parent0[0]: (15) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.88/1.23 Z ), meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ),
% 0.88/1.23 Z ) ) ==> meet( composition( meet( X, composition( Z, converse( Y ) ) ),
% 0.88/1.23 Y ), Z ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := X
% 0.88/1.23 Y := Y
% 0.88/1.23 Z := Z
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2857) {G1,W34,D9,L1,V1,M1} { meet( composition( meet( one,
% 0.88/1.23 composition( converse( complement( converse( X ) ) ), converse( X ) ) ),
% 0.88/1.23 X ), converse( complement( converse( X ) ) ) ) ==> join( meet(
% 0.88/1.23 composition( one, X ), converse( complement( converse( X ) ) ) ), meet(
% 0.88/1.23 composition( zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 0.88/1.23 parent0[0]: (1381) {G24,W9,D6,L1,V1,M1} P(377,1027) { meet( one,
% 0.88/1.23 composition( converse( complement( X ) ), X ) ) ==> zero }.
% 0.88/1.23 parent1[0; 28]: (2851) {G0,W27,D8,L1,V3,M1} { meet( composition( meet( X,
% 0.88/1.23 composition( Z, converse( Y ) ) ), Y ), Z ) ==> join( meet( composition(
% 0.88/1.23 X, Y ), Z ), meet( composition( meet( X, composition( Z, converse( Y ) )
% 0.88/1.23 ), Y ), Z ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := converse( X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := one
% 0.88/1.23 Y := X
% 0.88/1.23 Z := converse( complement( converse( X ) ) )
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2858) {G2,W26,D7,L1,V1,M1} { meet( composition( zero, X ),
% 0.88/1.23 converse( complement( converse( X ) ) ) ) ==> join( meet( composition(
% 0.88/1.23 one, X ), converse( complement( converse( X ) ) ) ), meet( composition(
% 0.88/1.23 zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 0.88/1.23 parent0[0]: (1381) {G24,W9,D6,L1,V1,M1} P(377,1027) { meet( one,
% 0.88/1.23 composition( converse( complement( X ) ), X ) ) ==> zero }.
% 0.88/1.23 parent1[0; 3]: (2857) {G1,W34,D9,L1,V1,M1} { meet( composition( meet( one
% 0.88/1.23 , composition( converse( complement( converse( X ) ) ), converse( X ) ) )
% 0.88/1.23 , X ), converse( complement( converse( X ) ) ) ) ==> join( meet(
% 0.88/1.23 composition( one, X ), converse( complement( converse( X ) ) ) ), meet(
% 0.88/1.23 composition( zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := converse( X )
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 paramod: (2864) {G3,W24,D7,L1,V1,M1} { meet( composition( zero, X ),
% 0.88/1.23 converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 0.88/1.23 complement( converse( X ) ) ) ), meet( composition( zero, X ), converse(
% 0.88/1.23 complement( converse( X ) ) ) ) ) }.
% 0.88/1.23 parent0[0]: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 0.88/1.23 ==> X }.
% 0.88/1.23 parent1[0; 11]: (2858) {G2,W26,D7,L1,V1,M1} { meet( composition( zero, X )
% 0.88/1.23 , converse( complement( converse( X ) ) ) ) ==> join( meet( composition(
% 0.88/1.23 one, X ), converse( complement( converse( X ) ) ) ), meet( composition(
% 0.88/1.23 zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2866) {G4,W22,D7,L1,V1,M1} { meet( composition( zero, X ),
% 0.88/1.24 converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 0.88/1.24 complement( converse( X ) ) ) ), meet( zero, converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ) }.
% 0.88/1.24 parent0[0]: (952) {G19,W5,D3,L1,V1,M1} P(948,37);d(393) { composition( zero
% 0.88/1.24 , X ) ==> zero }.
% 0.88/1.24 parent1[0; 17]: (2864) {G3,W24,D7,L1,V1,M1} { meet( composition( zero, X )
% 0.88/1.24 , converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 0.88/1.24 complement( converse( X ) ) ) ), meet( composition( zero, X ), converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2867) {G5,W20,D7,L1,V1,M1} { meet( zero, converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> join( meet( X, converse( complement( converse( X
% 0.88/1.24 ) ) ) ), meet( zero, converse( complement( converse( X ) ) ) ) ) }.
% 0.88/1.24 parent0[0]: (952) {G19,W5,D3,L1,V1,M1} P(948,37);d(393) { composition( zero
% 0.88/1.24 , X ) ==> zero }.
% 0.88/1.24 parent1[0; 2]: (2866) {G4,W22,D7,L1,V1,M1} { meet( composition( zero, X )
% 0.88/1.24 , converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 0.88/1.24 complement( converse( X ) ) ) ), meet( zero, converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2872) {G6,W15,D7,L1,V1,M1} { meet( zero, converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> join( meet( X, converse( complement( converse( X
% 0.88/1.24 ) ) ) ), zero ) }.
% 0.88/1.24 parent0[0]: (332) {G13,W5,D3,L1,V1,M1} P(329,3);d(178);d(53) { meet( zero,
% 0.88/1.24 X ) ==> zero }.
% 0.88/1.24 parent1[0; 14]: (2867) {G5,W20,D7,L1,V1,M1} { meet( zero, converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ==> join( meet( X, converse( complement(
% 0.88/1.24 converse( X ) ) ) ), meet( zero, converse( complement( converse( X ) ) )
% 0.88/1.24 ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := converse( complement( converse( X ) ) )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2873) {G7,W10,D7,L1,V1,M1} { zero ==> join( meet( X, converse(
% 0.88/1.24 complement( converse( X ) ) ) ), zero ) }.
% 0.88/1.24 parent0[0]: (332) {G13,W5,D3,L1,V1,M1} P(329,3);d(178);d(53) { meet( zero,
% 0.88/1.24 X ) ==> zero }.
% 0.88/1.24 parent1[0; 1]: (2872) {G6,W15,D7,L1,V1,M1} { meet( zero, converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ==> join( meet( X, converse( complement(
% 0.88/1.24 converse( X ) ) ) ), zero ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := converse( complement( converse( X ) ) )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2876) {G8,W8,D6,L1,V1,M1} { zero ==> meet( X, converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 parent0[0]: (380) {G14,W5,D3,L1,V1,M1} P(371,309) { join( X, zero ) ==> X
% 0.88/1.24 }.
% 0.88/1.24 parent1[0; 2]: (2873) {G7,W10,D7,L1,V1,M1} { zero ==> join( meet( X,
% 0.88/1.24 converse( complement( converse( X ) ) ) ), zero ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := meet( X, converse( complement( converse( X ) ) ) )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2877) {G8,W8,D6,L1,V1,M1} { meet( X, converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> zero }.
% 0.88/1.24 parent0[0]: (2876) {G8,W8,D6,L1,V1,M1} { zero ==> meet( X, converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (1406) {G25,W8,D6,L1,V1,M1} P(1381,15);d(275);d(952);d(332);d(
% 0.88/1.24 380) { meet( X, converse( complement( converse( X ) ) ) ) ==> zero }.
% 0.88/1.24 parent0: (2877) {G8,W8,D6,L1,V1,M1} { meet( X, converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> zero }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2879) {G16,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X,
% 0.88/1.24 complement( Y ) ) ) }.
% 0.88/1.24 parent0[0]: (1002) {G16,W10,D5,L1,V2,M1} S(29);d(389) { join( meet( X, Y )
% 0.88/1.24 , meet( X, complement( Y ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 Y := Y
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2881) {G17,W11,D8,L1,V1,M1} { X ==> join( zero, meet( X,
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 0.88/1.24 parent0[0]: (1406) {G25,W8,D6,L1,V1,M1} P(1381,15);d(275);d(952);d(332);d(
% 0.88/1.24 380) { meet( X, converse( complement( converse( X ) ) ) ) ==> zero }.
% 0.88/1.24 parent1[0; 3]: (2879) {G16,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.88/1.24 meet( X, complement( Y ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 Y := converse( complement( converse( X ) ) )
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2882) {G15,W9,D7,L1,V1,M1} { X ==> meet( X, complement( converse
% 0.88/1.24 ( complement( converse( X ) ) ) ) ) }.
% 0.88/1.24 parent0[0]: (379) {G14,W5,D3,L1,V1,M1} P(371,314) { join( zero, X ) ==> X
% 0.88/1.24 }.
% 0.88/1.24 parent1[0; 2]: (2881) {G17,W11,D8,L1,V1,M1} { X ==> join( zero, meet( X,
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := meet( X, complement( converse( complement( converse( X ) ) ) ) )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2883) {G15,W9,D7,L1,V1,M1} { meet( X, complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0[0]: (2882) {G15,W9,D7,L1,V1,M1} { X ==> meet( X, complement(
% 0.88/1.24 converse( complement( converse( X ) ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (1889) {G26,W9,D7,L1,V1,M1} P(1406,1002);d(379) { meet( X,
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0: (2883) {G15,W9,D7,L1,V1,M1} { meet( X, complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2885) {G16,W10,D5,L1,V2,M1} { join( X, complement( Y ) ) ==>
% 0.88/1.24 complement( meet( complement( X ), Y ) ) }.
% 0.88/1.24 parent0[0]: (639) {G16,W10,D5,L1,V2,M1} P(377,390) { complement( meet(
% 0.88/1.24 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 Y := Y
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2888) {G17,W13,D9,L1,V1,M1} { join( X, complement( complement(
% 0.88/1.24 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==>
% 0.88/1.24 complement( complement( X ) ) }.
% 0.88/1.24 parent0[0]: (1889) {G26,W9,D7,L1,V1,M1} P(1406,1002);d(379) { meet( X,
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent1[0; 11]: (2885) {G16,W10,D5,L1,V2,M1} { join( X, complement( Y ) )
% 0.88/1.24 ==> complement( meet( complement( X ), Y ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := complement( X )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 Y := complement( converse( complement( converse( complement( X ) ) ) ) )
% 0.88/1.24
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2890) {G15,W11,D9,L1,V1,M1} { join( X, complement( complement(
% 0.88/1.24 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.24 ( complement( X ) ) ==> X }.
% 0.88/1.24 parent1[0; 10]: (2888) {G17,W13,D9,L1,V1,M1} { join( X, complement(
% 0.88/1.24 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 0.88/1.24 ==> complement( complement( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2892) {G15,W9,D7,L1,V1,M1} { join( X, converse( complement(
% 0.88/1.24 converse( complement( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.24 ( complement( X ) ) ==> X }.
% 0.88/1.24 parent1[0; 3]: (2890) {G15,W11,D9,L1,V1,M1} { join( X, complement(
% 0.88/1.24 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 0.88/1.24 ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := converse( complement( converse( complement( X ) ) ) )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (1970) {G27,W9,D7,L1,V1,M1} P(1889,639);d(377);d(377) { join(
% 0.88/1.24 X, converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0: (2892) {G15,W9,D7,L1,V1,M1} { join( X, converse( complement(
% 0.88/1.24 converse( complement( X ) ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2895) {G20,W7,D4,L1,V2,M1} { Y ==> join( meet( X, Y ), Y ) }.
% 0.88/1.24 parent0[0]: (509) {G20,W7,D4,L1,V2,M1} P(491,0) { join( meet( Y, X ), X )
% 0.88/1.24 ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := Y
% 0.88/1.24 Y := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2896) {G21,W13,D7,L1,V1,M1} { complement( converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> join( X, complement( converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ) }.
% 0.88/1.24 parent0[0]: (1889) {G26,W9,D7,L1,V1,M1} P(1406,1002);d(379) { meet( X,
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent1[0; 7]: (2895) {G20,W7,D4,L1,V2,M1} { Y ==> join( meet( X, Y ), Y )
% 0.88/1.24 }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 Y := complement( converse( complement( converse( X ) ) ) )
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2897) {G21,W13,D7,L1,V1,M1} { join( X, complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) ==> complement( converse( complement(
% 0.88/1.24 converse( X ) ) ) ) }.
% 0.88/1.24 parent0[0]: (2896) {G21,W13,D7,L1,V1,M1} { complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ==> join( X, complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (1976) {G27,W13,D7,L1,V1,M1} P(1889,509) { join( X, complement
% 0.88/1.24 ( converse( complement( converse( X ) ) ) ) ) ==> complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 parent0: (2897) {G21,W13,D7,L1,V1,M1} { join( X, complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) ==> complement( converse( complement(
% 0.88/1.24 converse( X ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2899) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.88/1.24 converse( join( converse( X ), Y ) ) }.
% 0.88/1.24 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.88/1.24 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 Y := Y
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2904) {G2,W13,D9,L1,V1,M1} { join( X, converse( converse(
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ) ) ==> converse
% 0.88/1.24 ( converse( X ) ) }.
% 0.88/1.24 parent0[0]: (1970) {G27,W9,D7,L1,V1,M1} P(1889,639);d(377);d(377) { join( X
% 0.88/1.24 , converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent1[0; 11]: (2899) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.88/1.24 converse( join( converse( X ), Y ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := converse( X )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 Y := converse( complement( converse( complement( converse( X ) ) ) ) )
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2906) {G1,W11,D9,L1,V1,M1} { join( X, converse( converse(
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.88/1.24 parent1[0; 10]: (2904) {G2,W13,D9,L1,V1,M1} { join( X, converse( converse
% 0.88/1.24 ( complement( converse( complement( converse( X ) ) ) ) ) ) ) ==>
% 0.88/1.24 converse( converse( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2908) {G1,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.88/1.24 parent1[0; 3]: (2906) {G1,W11,D9,L1,V1,M1} { join( X, converse( converse(
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := complement( converse( complement( converse( X ) ) ) )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2909) {G2,W7,D6,L1,V1,M1} { complement( converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> X }.
% 0.88/1.24 parent0[0]: (1976) {G27,W13,D7,L1,V1,M1} P(1889,509) { join( X, complement
% 0.88/1.24 ( converse( complement( converse( X ) ) ) ) ) ==> complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 parent1[0; 1]: (2908) {G1,W9,D7,L1,V1,M1} { join( X, complement( converse
% 0.88/1.24 ( complement( converse( X ) ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (2007) {G28,W7,D6,L1,V1,M1} P(1970,42);d(7);d(7);d(1976) {
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 0.88/1.24 parent0: (2909) {G2,W7,D6,L1,V1,M1} { complement( converse( complement(
% 0.88/1.24 converse( X ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2912) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.88/1.24 }.
% 0.88/1.24 parent0[0]: (377) {G14,W5,D4,L1,V1,M1} P(54,366);d(339);d(376) { complement
% 0.88/1.24 ( complement( X ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2913) {G15,W7,D5,L1,V1,M1} { converse( complement( converse( X )
% 0.88/1.24 ) ) ==> complement( X ) }.
% 0.88/1.24 parent0[0]: (2007) {G28,W7,D6,L1,V1,M1} P(1970,42);d(7);d(7);d(1976) {
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 0.88/1.24 parent1[0; 6]: (2912) {G14,W5,D4,L1,V1,M1} { X ==> complement( complement
% 0.88/1.24 ( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := converse( complement( converse( X ) ) )
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (2063) {G29,W7,D5,L1,V1,M1} P(2007,377) { converse( complement
% 0.88/1.24 ( converse( X ) ) ) ==> complement( X ) }.
% 0.88/1.24 parent0: (2913) {G15,W7,D5,L1,V1,M1} { converse( complement( converse( X )
% 0.88/1.24 ) ) ==> complement( X ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2916) {G28,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 parent0[0]: (2007) {G28,W7,D6,L1,V1,M1} P(1970,42);d(7);d(7);d(1976) {
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2917) {G1,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 0.88/1.24 converse( complement( X ) ) ) }.
% 0.88/1.24 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.88/1.24 parent1[0; 6]: (2916) {G28,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := converse( X )
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2918) {G1,W7,D5,L1,V1,M1} { complement( converse( complement( X )
% 0.88/1.24 ) ) ==> converse( X ) }.
% 0.88/1.24 parent0[0]: (2917) {G1,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 0.88/1.24 converse( complement( X ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (2068) {G29,W7,D5,L1,V1,M1} P(7,2007) { complement( converse(
% 0.88/1.24 complement( X ) ) ) ==> converse( X ) }.
% 0.88/1.24 parent0: (2918) {G1,W7,D5,L1,V1,M1} { complement( converse( complement( X
% 0.88/1.24 ) ) ) ==> converse( X ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2920) {G28,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 parent0[0]: (2007) {G28,W7,D6,L1,V1,M1} P(1970,42);d(7);d(7);d(1976) {
% 0.88/1.24 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2925) {G29,W9,D6,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.88/1.24 complement( converse( complement( complement( X ) ) ) ) }.
% 0.88/1.24 parent0[0]: (2063) {G29,W7,D5,L1,V1,M1} P(2007,377) { converse( complement
% 0.88/1.24 ( converse( X ) ) ) ==> complement( X ) }.
% 0.88/1.24 parent1[0; 7]: (2920) {G28,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 0.88/1.24 complement( converse( X ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := complement( converse( X ) )
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 paramod: (2926) {G30,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.88/1.24 converse( complement( X ) ) }.
% 0.88/1.24 parent0[0]: (2068) {G29,W7,D5,L1,V1,M1} P(7,2007) { complement( converse(
% 0.88/1.24 complement( X ) ) ) ==> converse( X ) }.
% 0.88/1.24 parent1[0; 4]: (2925) {G29,W9,D6,L1,V1,M1} { complement( converse( X ) )
% 0.88/1.24 ==> complement( converse( complement( complement( X ) ) ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := complement( X )
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2927) {G30,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 0.88/1.24 complement( converse( X ) ) }.
% 0.88/1.24 parent0[0]: (2926) {G30,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.88/1.24 converse( complement( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (2069) {G30,W7,D4,L1,V1,M1} P(2063,2007);d(2068) { converse(
% 0.88/1.24 complement( X ) ) ==> complement( converse( X ) ) }.
% 0.88/1.24 parent0: (2927) {G30,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 0.88/1.24 complement( converse( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 0 ==> 0
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2928) {G30,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.88/1.24 converse( complement( X ) ) }.
% 0.88/1.24 parent0[0]: (2069) {G30,W7,D4,L1,V1,M1} P(2063,2007);d(2068) { converse(
% 0.88/1.24 complement( X ) ) ==> complement( converse( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 X := X
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 eqswap: (2929) {G0,W7,D4,L1,V0,M1} { ! complement( converse( skol1 ) ) ==>
% 0.88/1.24 converse( complement( skol1 ) ) }.
% 0.88/1.24 parent0[0]: (16) {G0,W7,D4,L1,V0,M1} I { ! converse( complement( skol1 ) )
% 0.88/1.24 ==> complement( converse( skol1 ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 resolution: (2930) {G1,W0,D0,L0,V0,M0} { }.
% 0.88/1.24 parent0[0]: (2929) {G0,W7,D4,L1,V0,M1} { ! complement( converse( skol1 ) )
% 0.88/1.24 ==> converse( complement( skol1 ) ) }.
% 0.88/1.24 parent1[0]: (2928) {G30,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 0.88/1.24 converse( complement( X ) ) }.
% 0.88/1.24 substitution0:
% 0.88/1.24 end
% 0.88/1.24 substitution1:
% 0.88/1.24 X := skol1
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 subsumption: (2099) {G31,W0,D0,L0,V0,M0} R(2069,16) { }.
% 0.88/1.24 parent0: (2930) {G1,W0,D0,L0,V0,M0} { }.
% 0.88/1.24 substitution0:
% 0.88/1.24 end
% 0.88/1.24 permutation0:
% 0.88/1.24 end
% 0.88/1.24
% 0.88/1.24 Proof check complete!
% 0.88/1.24
% 0.88/1.24 Memory use:
% 0.88/1.24
% 0.88/1.24 space for terms: 25991
% 0.88/1.24 space for clauses: 231336
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 clauses generated: 24981
% 0.88/1.24 clauses kept: 2100
% 0.88/1.24 clauses selected: 302
% 0.88/1.24 clauses deleted: 178
% 0.88/1.24 clauses inuse deleted: 72
% 0.88/1.24
% 0.88/1.24 subsentry: 4709
% 0.88/1.24 literals s-matched: 1975
% 0.88/1.24 literals matched: 1644
% 0.88/1.24 full subsumption: 0
% 0.88/1.24
% 0.88/1.24 checksum: -1292667183
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 Bliksem ended
%------------------------------------------------------------------------------