%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL045+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 19:01:27 EDT 2022
% Result : Theorem 0.87s 1.24s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : REL045+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 09:21:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.24 *** allocated 10000 integers for termspace/termends
% 0.87/1.24 *** allocated 10000 integers for clauses
% 0.87/1.24 *** allocated 10000 integers for justifications
% 0.87/1.24 Bliksem 1.12
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Automatic Strategy Selection
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Clauses:
% 0.87/1.24
% 0.87/1.24 { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.87/1.24 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.87/1.24 , Z ) }.
% 0.87/1.24 { composition( X, one ) = X }.
% 0.87/1.24 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.87/1.24 Y, Z ) ) }.
% 0.87/1.24 { converse( converse( X ) ) = X }.
% 0.87/1.24 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.87/1.24 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.87/1.24 ) ) }.
% 0.87/1.24 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.24 complement( Y ) ) = complement( Y ) }.
% 0.87/1.24 { top = join( X, complement( X ) ) }.
% 0.87/1.24 { zero = meet( X, complement( X ) ) }.
% 0.87/1.24 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.87/1.24 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 0.87/1.24 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) }.
% 0.87/1.24 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 0.87/1.24 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 0.87/1.24 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.87/1.24 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 0.87/1.24 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 0.87/1.24 { ! join( skol1, composition( composition( skol1, converse( skol1 ) ),
% 0.87/1.24 skol1 ) ) = composition( composition( skol1, converse( skol1 ) ), skol1 )
% 0.87/1.24 }.
% 0.87/1.24
% 0.87/1.24 percentage equality = 1.000000, percentage horn = 1.000000
% 0.87/1.24 This is a pure equality problem
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Options Used:
% 0.87/1.24
% 0.87/1.24 useres = 1
% 0.87/1.24 useparamod = 1
% 0.87/1.24 useeqrefl = 1
% 0.87/1.24 useeqfact = 1
% 0.87/1.24 usefactor = 1
% 0.87/1.24 usesimpsplitting = 0
% 0.87/1.24 usesimpdemod = 5
% 0.87/1.24 usesimpres = 3
% 0.87/1.24
% 0.87/1.24 resimpinuse = 1000
% 0.87/1.24 resimpclauses = 20000
% 0.87/1.24 substype = eqrewr
% 0.87/1.24 backwardsubs = 1
% 0.87/1.24 selectoldest = 5
% 0.87/1.24
% 0.87/1.24 litorderings [0] = split
% 0.87/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.24
% 0.87/1.24 termordering = kbo
% 0.87/1.24
% 0.87/1.24 litapriori = 0
% 0.87/1.24 termapriori = 1
% 0.87/1.24 litaposteriori = 0
% 0.87/1.24 termaposteriori = 0
% 0.87/1.24 demodaposteriori = 0
% 0.87/1.24 ordereqreflfact = 0
% 0.87/1.24
% 0.87/1.24 litselect = negord
% 0.87/1.24
% 0.87/1.24 maxweight = 15
% 0.87/1.24 maxdepth = 30000
% 0.87/1.24 maxlength = 115
% 0.87/1.24 maxnrvars = 195
% 0.87/1.24 excuselevel = 1
% 0.87/1.24 increasemaxweight = 1
% 0.87/1.24
% 0.87/1.24 maxselected = 10000000
% 0.87/1.24 maxnrclauses = 10000000
% 0.87/1.24
% 0.87/1.24 showgenerated = 0
% 0.87/1.24 showkept = 0
% 0.87/1.24 showselected = 0
% 0.87/1.24 showdeleted = 0
% 0.87/1.24 showresimp = 1
% 0.87/1.24 showstatus = 2000
% 0.87/1.24
% 0.87/1.24 prologoutput = 0
% 0.87/1.24 nrgoals = 5000000
% 0.87/1.24 totalproof = 1
% 0.87/1.24
% 0.87/1.24 Symbols occurring in the translation:
% 0.87/1.24
% 0.87/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.24 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.24 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.87/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.87/1.24 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.87/1.24 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.87/1.24 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.87/1.24 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.87/1.24 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.87/1.24 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.87/1.24 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.87/1.24 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Starting Search:
% 0.87/1.24
% 0.87/1.24 *** allocated 15000 integers for clauses
% 0.87/1.24 *** allocated 22500 integers for clauses
% 0.87/1.24 *** allocated 33750 integers for clauses
% 0.87/1.24 *** allocated 50625 integers for clauses
% 0.87/1.24 *** allocated 75937 integers for clauses
% 0.87/1.24 *** allocated 113905 integers for clauses
% 0.87/1.24 *** allocated 15000 integers for termspace/termends
% 0.87/1.24 Resimplifying inuse:
% 0.87/1.24 Done
% 0.87/1.24
% 0.87/1.24 *** allocated 170857 integers for clauses
% 0.87/1.24 *** allocated 22500 integers for termspace/termends
% 0.87/1.24 *** allocated 256285 integers for clauses
% 0.87/1.24 *** allocated 33750 integers for termspace/termends
% 0.87/1.24
% 0.87/1.24 Intermediate Status:
% 0.87/1.24 Generated: 24461
% 0.87/1.24 Kept: 2001
% 0.87/1.24 Inuse: 299
% 0.87/1.24 Deleted: 166
% 0.87/1.24 Deletedinuse: 62
% 0.87/1.24
% 0.87/1.24 Resimplifying inuse:
% 0.87/1.24
% 0.87/1.24 Bliksems!, er is een bewijs:
% 0.87/1.24 % SZS status Theorem
% 0.87/1.24 % SZS output start Refutation
% 0.87/1.24
% 0.87/1.24 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.87/1.24 , Z ) }.
% 0.87/1.24 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.87/1.24 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.87/1.24 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 0.87/1.24 composition( composition( X, Y ), Z ) }.
% 0.87/1.24 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.24 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.87/1.24 ) ==> composition( join( X, Y ), Z ) }.
% 0.87/1.24 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.24 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.87/1.24 converse( join( X, Y ) ) }.
% 0.87/1.24 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.87/1.24 ==> converse( composition( X, Y ) ) }.
% 0.87/1.24 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.87/1.24 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.87/1.24 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.87/1.24 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.87/1.24 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 0.87/1.24 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.24 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.24 ) ) ) }.
% 0.87/1.24 (14) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ), Z ), meet(
% 0.87/1.24 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) ==>
% 0.87/1.24 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.87/1.24 }.
% 0.87/1.24 (16) {G0,W15,D6,L1,V0,M1} I { ! join( skol1, composition( composition(
% 0.87/1.24 skol1, converse( skol1 ) ), skol1 ) ) ==> composition( composition( skol1
% 0.87/1.24 , converse( skol1 ) ), skol1 ) }.
% 0.87/1.24 (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.87/1.24 (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.87/1.24 join( Z, X ), Y ) }.
% 0.87/1.24 (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.87/1.24 ==> join( Y, top ) }.
% 0.87/1.24 (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement( join( X, Y ) )
% 0.87/1.24 , X ), Y ) ==> top }.
% 0.87/1.24 (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ), complement( Y ) )
% 0.87/1.24 ==> join( X, top ) }.
% 0.87/1.24 (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement( complement( X )
% 0.87/1.24 ) ) ==> join( X, top ) }.
% 0.87/1.24 (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement( X ) ), top
% 0.87/1.24 ) ==> join( X, top ) }.
% 0.87/1.24 (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.87/1.24 ( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.87/1.24 ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.24 (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.87/1.24 join( X, converse( Y ) ) }.
% 0.87/1.24 (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.87/1.24 (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.87/1.24 (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero, complement( X )
% 0.87/1.24 ) ) ==> meet( top, X ) }.
% 0.87/1.24 (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement( X ), zero
% 0.87/1.24 ) ) ==> meet( X, top ) }.
% 0.87/1.24 (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top }.
% 0.87/1.24 (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top ) ==> join( X
% 0.87/1.24 , top ) }.
% 0.87/1.24 (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition( converse( X ),
% 0.87/1.24 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.24 (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet( composition( X, Y )
% 0.87/1.24 , Z ), top ) ==> top }.
% 0.87/1.24 (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top ) ==> top }.
% 0.87/1.24 (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement( meet( X, Y )
% 0.87/1.24 ) ) ==> join( top, top ) }.
% 0.87/1.24 (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join( complement( X ),
% 0.87/1.24 top ) ==> join( top, top ) }.
% 0.87/1.24 (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top ) ==> top }.
% 0.87/1.24 (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==> top }.
% 0.87/1.24 (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 0.87/1.24 (201) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top ) ) ==>
% 0.87/1.24 converse( top ) }.
% 0.87/1.24 (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top }.
% 0.87/1.24 (209) {G10,W9,D4,L1,V1,M1} P(207,9) { composition( top, converse( X ) ) ==>
% 0.87/1.24 converse( composition( X, top ) ) }.
% 0.87/1.24 (268) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse( one ), X )
% 0.87/1.24 ==> X }.
% 0.87/1.24 (274) {G3,W4,D3,L1,V0,M1} P(268,5) { converse( one ) ==> one }.
% 0.87/1.24 (276) {G4,W5,D3,L1,V1,M1} P(274,268) { composition( one, X ) ==> X }.
% 0.87/1.24 (281) {G5,W8,D4,L1,V1,M1} P(276,10);d(268) { join( complement( X ),
% 0.87/1.24 complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 (289) {G6,W7,D4,L1,V1,M1} P(281,3) { complement( complement( X ) ) = meet(
% 0.87/1.24 X, X ) }.
% 0.87/1.24 (314) {G7,W7,D5,L1,V1,M1} P(289,30);d(17);d(58) { join( complement(
% 0.87/1.24 complement( X ) ), zero ) ==> X }.
% 0.87/1.24 (319) {G10,W7,D4,L1,V1,M1} P(201,30);d(207);d(58) { join( meet( X, top ),
% 0.87/1.24 zero ) ==> X }.
% 0.87/1.24 (331) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X, complement( meet( X, Y
% 0.87/1.24 ) ) ) ==> top }.
% 0.87/1.24 (333) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X ), zero ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 (338) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X, X ) ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 (343) {G11,W7,D4,L1,V1,M1} P(56,319) { join( meet( top, X ), zero ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 (345) {G11,W6,D4,L1,V1,M1} P(319,20);d(171) { join( X, complement( zero ) )
% 0.87/1.24 ==> top }.
% 0.87/1.24 (348) {G12,W4,D3,L1,V0,M1} P(345,281) { complement( zero ) ==> top }.
% 0.87/1.24 (349) {G12,W5,D3,L1,V1,M1} P(345,3);d(58) { meet( X, zero ) ==> zero }.
% 0.87/1.24 (358) {G12,W7,D4,L1,V1,M1} P(343,0) { join( zero, meet( top, X ) ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 (366) {G13,W7,D4,L1,V1,M1} P(314,30);d(349) { join( zero, complement( X ) )
% 0.87/1.24 ==> complement( X ) }.
% 0.87/1.24 (376) {G14,W5,D3,L1,V1,M1} P(289,366);d(338) { meet( X, X ) ==> X }.
% 0.87/1.24 (377) {G14,W11,D4,L1,V2,M1} P(366,19) { join( join( zero, Y ), complement(
% 0.87/1.24 X ) ) ==> join( complement( X ), Y ) }.
% 0.87/1.24 (381) {G14,W7,D4,L1,V1,M1} P(366,59) { meet( top, X ) ==> complement(
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement( complement
% 0.87/1.24 ( X ) ) ==> X }.
% 0.87/1.24 (387) {G15,W5,D3,L1,V1,M1} P(376,333) { join( X, zero ) ==> X }.
% 0.87/1.24 (393) {G16,W5,D3,L1,V1,M1} P(382,281) { join( X, X ) ==> X }.
% 0.87/1.24 (396) {G16,W10,D5,L1,V2,M1} P(382,3) { complement( join( complement( Y ), X
% 0.87/1.24 ) ) ==> meet( Y, complement( X ) ) }.
% 0.87/1.24 (398) {G17,W9,D4,L1,V2,M1} P(393,19);d(1);d(393) { join( join( X, Y ), Y )
% 0.87/1.24 ==> join( X, Y ) }.
% 0.87/1.24 (408) {G16,W5,D3,L1,V1,M1} S(381);d(382) { meet( top, X ) ==> X }.
% 0.87/1.24 (431) {G15,W8,D5,L1,V2,M1} P(331,21);d(58);d(377) { join( complement( meet
% 0.87/1.24 ( X, Y ) ), X ) ==> top }.
% 0.87/1.24 (442) {G16,W9,D4,L1,V2,M1} P(431,30);d(58);d(387) { meet( meet( X, Y ), X )
% 0.87/1.24 ==> meet( X, Y ) }.
% 0.87/1.24 (445) {G16,W8,D5,L1,V2,M1} P(56,431) { join( complement( meet( Y, X ) ), X
% 0.87/1.24 ) ==> top }.
% 0.87/1.24 (448) {G17,W9,D4,L1,V2,M1} P(445,30);d(58);d(387) { meet( meet( X, Y ), Y )
% 0.87/1.24 ==> meet( X, Y ) }.
% 0.87/1.24 (481) {G18,W9,D4,L1,V2,M1} P(448,56) { meet( Y, meet( X, Y ) ) ==> meet( X
% 0.87/1.24 , Y ) }.
% 0.87/1.24 (487) {G18,W8,D5,L1,V2,M1} P(30,398);d(396) { join( X, meet( X, complement
% 0.87/1.24 ( Y ) ) ) ==> X }.
% 0.87/1.24 (496) {G19,W7,D4,L1,V2,M1} P(382,487) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.87/1.24 (511) {G20,W7,D4,L1,V2,M1} P(481,496) { join( X, meet( Y, X ) ) ==> X }.
% 0.87/1.24 (948) {G16,W9,D5,L1,V1,M1} S(82);d(387) { composition( converse( X ),
% 0.87/1.24 complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.24 (982) {G17,W8,D5,L1,V0,M1} P(207,948) { composition( top, complement(
% 0.87/1.24 composition( top, top ) ) ) ==> zero }.
% 0.87/1.24 (987) {G18,W8,D5,L1,V1,M1} P(982,6);d(387);d(171);d(982) { composition( X,
% 0.87/1.24 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.24 (992) {G19,W6,D4,L1,V0,M1} P(987,276) { complement( composition( top, top )
% 0.87/1.24 ) ==> zero }.
% 0.87/1.24 (1003) {G20,W5,D3,L1,V0,M1} P(992,382);d(348) { composition( top, top ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 (1015) {G21,W7,D4,L1,V1,M1} P(1003,14);d(408);d(511);d(408);d(4);d(209);d(
% 0.87/1.24 1003);d(207) { meet( composition( top, X ), X ) ==> X }.
% 0.87/1.24 (1026) {G22,W7,D4,L1,V1,M1} P(1015,442) { meet( X, composition( top, X ) )
% 0.87/1.24 ==> X }.
% 0.87/1.24 (1033) {G23,W15,D6,L1,V1,M1} P(1015,13);d(408);d(207);d(1026) { join( X,
% 0.87/1.24 composition( composition( X, converse( X ) ), X ) ) ==> composition(
% 0.87/1.24 composition( X, converse( X ) ), X ) }.
% 0.87/1.24 (2014) {G24,W0,D0,L0,V0,M0} S(16);d(1033);q { }.
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 % SZS output end Refutation
% 0.87/1.24 found a proof!
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Unprocessed initial clauses:
% 0.87/1.24
% 0.87/1.24 (2016) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 (2017) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.87/1.24 , Z ) }.
% 0.87/1.24 (2018) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 (2019) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 0.87/1.24 ( X ), complement( Y ) ) ) }.
% 0.87/1.24 (2020) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.87/1.24 composition( composition( X, Y ), Z ) }.
% 0.87/1.24 (2021) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.87/1.24 (2022) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.87/1.24 composition( X, Z ), composition( Y, Z ) ) }.
% 0.87/1.24 (2023) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.87/1.24 (2024) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.87/1.24 ), converse( Y ) ) }.
% 0.87/1.24 (2025) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.87/1.24 composition( converse( Y ), converse( X ) ) }.
% 0.87/1.24 (2026) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.87/1.24 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.87/1.24 (2027) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.87/1.24 (2028) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.87/1.24 (2029) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 0.87/1.24 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.87/1.24 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.87/1.24 (2030) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.87/1.24 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 0.87/1.24 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.87/1.24 }.
% 0.87/1.24 (2031) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.87/1.24 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 0.87/1.24 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.87/1.24 }.
% 0.87/1.24 (2032) {G0,W15,D6,L1,V0,M1} { ! join( skol1, composition( composition(
% 0.87/1.24 skol1, converse( skol1 ) ), skol1 ) ) = composition( composition( skol1,
% 0.87/1.24 converse( skol1 ) ), skol1 ) }.
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Total Proof:
% 0.87/1.24
% 0.87/1.24 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent0: (2016) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.87/1.24 ( join( X, Y ), Z ) }.
% 0.87/1.24 parent0: (2017) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 0.87/1.24 join( X, Y ), Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2035) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.87/1.24 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (2018) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.87/1.24 Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.87/1.24 Y ) ) ) ==> X }.
% 0.87/1.24 parent0: (2035) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.87/1.24 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 0.87/1.24 X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2038) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.87/1.24 complement( Y ) ) ) = meet( X, Y ) }.
% 0.87/1.24 parent0[0]: (2019) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 0.87/1.24 ( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 parent0: (2038) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.87/1.24 complement( Y ) ) ) = meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.87/1.24 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.87/1.24 parent0: (2020) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z )
% 0.87/1.24 ) = composition( composition( X, Y ), Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.24 parent0: (2021) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2053) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.87/1.24 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.87/1.24 parent0[0]: (2022) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.87/1.24 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.87/1.24 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.87/1.24 parent0: (2053) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.87/1.24 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 parent0: (2023) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2068) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.87/1.24 = converse( join( X, Y ) ) }.
% 0.87/1.24 parent0[0]: (2024) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 0.87/1.24 ( converse( X ), converse( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.87/1.24 ) ) ==> converse( join( X, Y ) ) }.
% 0.87/1.24 parent0: (2068) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 0.87/1.24 ) = converse( join( X, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2077) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.87/1.24 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.87/1.24 parent0[0]: (2025) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 0.87/1.24 = composition( converse( Y ), converse( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.87/1.24 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.87/1.24 parent0: (2077) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 0.87/1.24 converse( X ) ) = converse( composition( X, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.87/1.24 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.87/1.24 Y ) }.
% 0.87/1.24 parent0: (2026) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.87/1.24 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2098) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.87/1.24 parent0[0]: (2027) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 parent0: (2098) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2110) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.87/1.24 parent0[0]: (2028) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent0: (2110) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.87/1.24 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.24 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.24 ) ) ) }.
% 0.87/1.24 parent0: (2029) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.87/1.24 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.87/1.24 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (14) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.87/1.24 , Z ), meet( composition( X, meet( Y, composition( converse( X ), Z ) ) )
% 0.87/1.24 , Z ) ) ==> meet( composition( X, meet( Y, composition( converse( X ), Z
% 0.87/1.24 ) ) ), Z ) }.
% 0.87/1.24 parent0: (2030) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.87/1.24 ), meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z
% 0.87/1.24 ) ) = meet( composition( X, meet( Y, composition( converse( X ), Z ) ) )
% 0.87/1.24 , Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (16) {G0,W15,D6,L1,V0,M1} I { ! join( skol1, composition(
% 0.87/1.24 composition( skol1, converse( skol1 ) ), skol1 ) ) ==> composition(
% 0.87/1.24 composition( skol1, converse( skol1 ) ), skol1 ) }.
% 0.87/1.24 parent0: (2032) {G0,W15,D6,L1,V0,M1} { ! join( skol1, composition(
% 0.87/1.24 composition( skol1, converse( skol1 ) ), skol1 ) ) = composition(
% 0.87/1.24 composition( skol1, converse( skol1 ) ), skol1 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2154) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2155) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 2]: (2154) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.87/1.24 ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2158) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (2155) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 0.87/1.24 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent0: (2158) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2159) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.87/1.24 , join( Y, Z ) ) }.
% 0.87/1.24 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.24 join( X, Y ), Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2164) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.87/1.24 , join( Z, Y ) ) }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 8]: (2159) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.87/1.24 join( X, join( Y, Z ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := Z
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2177) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.87/1.24 join( X, Z ), Y ) }.
% 0.87/1.24 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.24 join( X, Y ), Z ) }.
% 0.87/1.24 parent1[0; 6]: (2164) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.87/1.24 join( X, join( Z, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Z
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.87/1.24 ) = join( join( Z, X ), Y ) }.
% 0.87/1.24 parent0: (2177) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.87/1.24 join( X, Z ), Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Z
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2179) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.87/1.24 , join( Y, Z ) ) }.
% 0.87/1.24 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.24 join( X, Y ), Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2182) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.87/1.24 ) ==> join( X, top ) }.
% 0.87/1.24 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 9]: (2179) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.87/1.24 join( X, join( Y, Z ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := complement( Y )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.24 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.24 parent0: (2182) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.87/1.24 ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2186) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.24 ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2188) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 0.87/1.24 join( X, Y ) ), X ), Y ) }.
% 0.87/1.24 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.24 join( X, Y ), Z ) }.
% 0.87/1.24 parent1[0; 2]: (2186) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.87/1.24 , X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( join( X, Y ) )
% 0.87/1.24 Y := X
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := join( X, Y )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2189) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y )
% 0.87/1.24 ), X ), Y ) ==> top }.
% 0.87/1.24 parent0[0]: (2188) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 0.87/1.24 join( X, Y ) ), X ), Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 0.87/1.24 join( X, Y ) ), X ), Y ) ==> top }.
% 0.87/1.24 parent0: (2189) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 0.87/1.24 ) ), X ), Y ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2190) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.24 ), complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.24 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2193) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.87/1.24 ), complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 5]: (2190) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.24 ( X, Y ), complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2206) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.87/1.24 ) ==> join( X, top ) }.
% 0.87/1.24 parent0[0]: (2193) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.87/1.24 , X ), complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.87/1.24 complement( Y ) ) ==> join( X, top ) }.
% 0.87/1.24 parent0: (2206) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.87/1.24 ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2208) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.24 ), complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.24 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2209) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.24 complement( complement( X ) ) ) }.
% 0.87/1.24 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 5]: (2208) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.24 ( X, Y ), complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := complement( X )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2210) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.87/1.24 ) ) ) ==> join( X, top ) }.
% 0.87/1.24 parent0[0]: (2209) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.24 complement( complement( X ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.87/1.24 complement( X ) ) ) ==> join( X, top ) }.
% 0.87/1.24 parent0: (2210) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.87/1.24 ) ) ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2211) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.24 complement( complement( X ) ) ) }.
% 0.87/1.24 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.87/1.24 complement( X ) ) ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2213) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 0.87/1.24 ( complement( X ) ), top ) }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 4]: (2211) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.24 complement( complement( X ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := top
% 0.87/1.24 Y := complement( complement( X ) )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2219) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.87/1.24 top ) ==> join( X, top ) }.
% 0.87/1.24 parent0[0]: (2213) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.87/1.24 complement( complement( X ) ), top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement(
% 0.87/1.24 complement( X ) ), top ) ==> join( X, top ) }.
% 0.87/1.24 parent0: (2219) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 0.87/1.24 , top ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2222) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.87/1.24 join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.87/1.24 Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 parent0: (2222) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.87/1.24 join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2225) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.87/1.24 composition( converse( X ), converse( Y ) ) }.
% 0.87/1.24 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.87/1.24 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2227) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.87/1.24 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.24 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.24 parent1[0; 9]: (2225) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.87/1.24 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := converse( X )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.87/1.24 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.24 parent0: (2227) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.87/1.24 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2231) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.87/1.24 converse( X ), converse( Y ) ) }.
% 0.87/1.24 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.87/1.24 ) ==> converse( join( X, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2232) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.87/1.24 ) ==> join( X, converse( Y ) ) }.
% 0.87/1.24 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.24 parent1[0; 7]: (2231) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.87/1.24 join( converse( X ), converse( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := converse( X )
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.87/1.24 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.87/1.24 parent0: (2232) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.87/1.24 ) ==> join( X, converse( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2236) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2238) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( Y ), complement( X ) ) ) }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 5]: (2236) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 Y := complement( Y )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2240) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 parent1[0; 4]: (2238) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( Y ), complement( X ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.87/1.24 , Y ) }.
% 0.87/1.24 parent0: (2240) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2242) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2245) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.87/1.24 complement( top ) }.
% 0.87/1.24 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 6]: (2242) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := complement( X )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2246) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.87/1.24 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 1]: (2245) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.87/1.24 complement( top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2247) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.87/1.24 parent0[0]: (2246) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent0: (2247) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2249) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2250) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 0.87/1.24 ( zero, complement( X ) ) ) }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 6]: (2249) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := top
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2252) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.87/1.24 ) ) ) ==> meet( top, X ) }.
% 0.87/1.24 parent0[0]: (2250) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.87/1.24 join( zero, complement( X ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.87/1.24 complement( X ) ) ) ==> meet( top, X ) }.
% 0.87/1.24 parent0: (2252) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 0.87/1.24 X ) ) ) ==> meet( top, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2255) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2257) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 0.87/1.24 ( complement( X ), zero ) ) }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 8]: (2255) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2259) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.87/1.24 zero ) ) ==> meet( X, top ) }.
% 0.87/1.24 parent0[0]: (2257) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.87/1.24 join( complement( X ), zero ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join(
% 0.87/1.24 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.24 parent0: (2259) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.87/1.24 zero ) ) ==> meet( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2261) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.24 ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2262) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 3]: (2261) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.87/1.24 , X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2263) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.87/1.24 parent0[0]: (2262) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent0: (2263) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2265) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.87/1.24 , join( Y, Z ) ) }.
% 0.87/1.24 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.24 join( X, Y ), Z ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2267) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.87/1.24 join( X, top ) }.
% 0.87/1.24 parent0[0]: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 8]: (2265) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.87/1.24 join( X, join( Y, Z ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := zero
% 0.87/1.24 Z := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top
% 0.87/1.24 ) ==> join( X, top ) }.
% 0.87/1.24 parent0: (2267) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.87/1.24 join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2271) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.24 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.24 complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.87/1.24 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.87/1.24 Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2273) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.87/1.24 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 11]: (2271) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.24 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.24 complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2274) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.87/1.24 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 1]: (2273) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.87/1.24 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2276) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.87/1.24 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.24 parent0[0]: (2274) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.87/1.24 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition(
% 0.87/1.24 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.24 parent0: (2276) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.87/1.24 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2279) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.24 ), complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.24 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2281) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.87/1.24 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 0.87/1.24 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 0.87/1.24 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.87/1.24 converse( X ), Z ) ) ) ) ) }.
% 0.87/1.24 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.87/1.24 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.24 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.24 ) ) ) }.
% 0.87/1.24 parent1[0; 9]: (2279) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.24 ( X, Y ), complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := meet( composition( X, Y ), Z )
% 0.87/1.24 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2282) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.87/1.24 , top ) ==> top }.
% 0.87/1.24 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 8]: (2281) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y
% 0.87/1.24 ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse(
% 0.87/1.24 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 0.87/1.24 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.24 composition( converse( X ), Z ) ) )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 0.87/1.24 composition( X, Y ), Z ), top ) ==> top }.
% 0.87/1.24 parent0: (2282) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.87/1.24 , top ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2285) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X, Y
% 0.87/1.24 ), Z ), top ) }.
% 0.87/1.24 parent0[0]: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 0.87/1.24 composition( X, Y ), Z ), top ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 Z := Z
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2286) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.24 parent1[0; 4]: (2285) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 0.87/1.24 composition( X, Y ), Z ), top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := one
% 0.87/1.24 Z := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2287) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.87/1.24 parent0[0]: (2286) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent0: (2287) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2289) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.87/1.24 ), complement( X ) ) }.
% 0.87/1.24 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.87/1.24 complement( Y ) ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2291) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.87/1.24 complement( meet( X, Y ) ) ) }.
% 0.87/1.24 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent1[0; 5]: (2289) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.87/1.24 ( X, Y ), complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := meet( X, Y )
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2293) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.87/1.24 ) ) ==> join( top, top ) }.
% 0.87/1.24 parent0[0]: (2291) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.87/1.24 complement( meet( X, Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 0.87/1.24 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.87/1.24 parent0: (2293) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.87/1.24 ) ) ==> join( top, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2295) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.24 complement( complement( X ) ) ) }.
% 0.87/1.24 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.87/1.24 complement( X ) ) ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2298) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.87/1.24 , top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.87/1.24 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 0.87/1.24 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.24 parent1[0; 10]: (2295) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 0.87/1.24 , complement( complement( X ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := join( complement( X ), zero )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2299) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.87/1.24 , top ) ==> join( top, top ) }.
% 0.87/1.24 parent0[0]: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 0.87/1.24 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.87/1.24 parent1[0; 7]: (2298) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ),
% 0.87/1.24 zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2300) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.87/1.24 join( top, top ) }.
% 0.87/1.24 parent0[0]: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top )
% 0.87/1.24 ==> join( X, top ) }.
% 0.87/1.24 parent1[0; 1]: (2299) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ),
% 0.87/1.24 zero ), top ) ==> join( top, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 0.87/1.24 complement( X ), top ) ==> join( top, top ) }.
% 0.87/1.24 parent0: (2300) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.87/1.24 join( top, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2303) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.87/1.24 ( X ), top ) }.
% 0.87/1.24 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 0.87/1.24 complement( X ), top ) ==> join( top, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2305) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X,
% 0.87/1.24 top ), top ) }.
% 0.87/1.24 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 0.87/1.24 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.24 parent1[0; 5]: (2303) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.87/1.24 complement( X ), top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := join( complement( X ), zero )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2306) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.87/1.24 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent1[0; 4]: (2305) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.87/1.24 meet( X, top ), top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent0: (2306) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2308) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.87/1.24 ( X ), top ) }.
% 0.87/1.24 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 0.87/1.24 complement( X ), top ) ==> join( top, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2311) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement
% 0.87/1.24 ( X ) ), top ) ==> join( X, top ) }.
% 0.87/1.24 parent1[0; 4]: (2308) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.87/1.24 complement( X ), top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2312) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.87/1.24 parent0[0]: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent1[0; 1]: (2311) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.87/1.24 top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2313) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.87/1.24 parent0[0]: (2312) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent0: (2313) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2314) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.87/1.24 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2315) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 2]: (2314) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2318) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.87/1.24 parent0[0]: (2315) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent0: (2318) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2320) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.87/1.24 converse( join( converse( X ), Y ) ) }.
% 0.87/1.24 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.87/1.24 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2321) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.87/1.24 converse( top ) }.
% 0.87/1.24 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 parent1[0; 6]: (2320) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.87/1.24 converse( join( converse( X ), Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := converse( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (201) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.87/1.24 ) ==> converse( top ) }.
% 0.87/1.24 parent0: (2321) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.87/1.24 converse( top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2323) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X, converse
% 0.87/1.24 ( top ) ) }.
% 0.87/1.24 parent0[0]: (201) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.87/1.24 ) ==> converse( top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2325) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.87/1.24 parent0[0]: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 0.87/1.24 parent1[0; 3]: (2323) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 0.87/1.24 converse( top ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := converse( top )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := top
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent0: (2325) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2328) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.87/1.24 composition( converse( X ), converse( Y ) ) }.
% 0.87/1.24 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.87/1.24 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2329) {G1,W9,D4,L1,V1,M1} { converse( composition( X, top ) )
% 0.87/1.24 ==> composition( top, converse( X ) ) }.
% 0.87/1.24 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 6]: (2328) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.87/1.24 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := top
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2331) {G1,W9,D4,L1,V1,M1} { composition( top, converse( X ) ) ==>
% 0.87/1.24 converse( composition( X, top ) ) }.
% 0.87/1.24 parent0[0]: (2329) {G1,W9,D4,L1,V1,M1} { converse( composition( X, top ) )
% 0.87/1.24 ==> composition( top, converse( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (209) {G10,W9,D4,L1,V1,M1} P(207,9) { composition( top,
% 0.87/1.24 converse( X ) ) ==> converse( composition( X, top ) ) }.
% 0.87/1.24 parent0: (2331) {G1,W9,D4,L1,V1,M1} { composition( top, converse( X ) )
% 0.87/1.24 ==> converse( composition( X, top ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2334) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.87/1.24 converse( composition( converse( X ), Y ) ) }.
% 0.87/1.24 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.87/1.24 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2337) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.87/1.24 ==> converse( converse( X ) ) }.
% 0.87/1.24 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.24 parent1[0; 6]: (2334) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.87/1.24 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := converse( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := one
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2338) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.87/1.24 ==> X }.
% 0.87/1.24 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.24 parent1[0; 5]: (2337) {G1,W8,D4,L1,V1,M1} { composition( converse( one ),
% 0.87/1.24 X ) ==> converse( converse( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (268) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.87/1.24 ( one ), X ) ==> X }.
% 0.87/1.24 parent0: (2338) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.87/1.24 ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2340) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (268) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.87/1.24 ( one ), X ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2342) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.87/1.24 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.24 parent1[0; 2]: (2340) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.87/1.24 one ), X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := converse( one )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := one
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2343) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.87/1.24 parent0[0]: (2342) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (274) {G3,W4,D3,L1,V0,M1} P(268,5) { converse( one ) ==> one
% 0.87/1.24 }.
% 0.87/1.24 parent0: (2343) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2345) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (268) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.87/1.24 ( one ), X ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2346) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.87/1.24 parent0[0]: (274) {G3,W4,D3,L1,V0,M1} P(268,5) { converse( one ) ==> one
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 3]: (2345) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.87/1.24 one ), X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2347) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.87/1.24 parent0[0]: (2346) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (276) {G4,W5,D3,L1,V1,M1} P(274,268) { composition( one, X )
% 0.87/1.24 ==> X }.
% 0.87/1.24 parent0: (2347) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2349) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.24 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.24 complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.87/1.24 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.87/1.24 Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2351) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.24 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.87/1.24 parent0[0]: (276) {G4,W5,D3,L1,V1,M1} P(274,268) { composition( one, X )
% 0.87/1.24 ==> X }.
% 0.87/1.24 parent1[0; 8]: (2349) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.24 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.24 complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := one
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2352) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.87/1.24 ( X ), complement( X ) ) }.
% 0.87/1.24 parent0[0]: (268) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.87/1.24 ( one ), X ) ==> X }.
% 0.87/1.24 parent1[0; 4]: (2351) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.24 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2353) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.87/1.24 ) ) ==> complement( X ) }.
% 0.87/1.24 parent0[0]: (2352) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.24 complement( X ), complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (281) {G5,W8,D4,L1,V1,M1} P(276,10);d(268) { join( complement
% 0.87/1.24 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 parent0: (2353) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.87/1.24 ) ) ==> complement( X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2355) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2370) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 parent0[0]: (281) {G5,W8,D4,L1,V1,M1} P(276,10);d(268) { join( complement(
% 0.87/1.24 X ), complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 parent1[0; 5]: (2355) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2371) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.24 meet( X, X ) }.
% 0.87/1.24 parent0[0]: (2370) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (289) {G6,W7,D4,L1,V1,M1} P(281,3) { complement( complement( X
% 0.87/1.24 ) ) = meet( X, X ) }.
% 0.87/1.24 parent0: (2371) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.24 meet( X, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2372) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement( complement
% 0.87/1.24 ( X ) ) }.
% 0.87/1.24 parent0[0]: (289) {G6,W7,D4,L1,V1,M1} P(281,3) { complement( complement( X
% 0.87/1.24 ) ) = meet( X, X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2373) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.24 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2376) {G2,W11,D6,L1,V1,M1} { X ==> join( complement( complement
% 0.87/1.24 ( X ) ), complement( join( complement( X ), X ) ) ) }.
% 0.87/1.24 parent0[0]: (2372) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 parent1[0; 3]: (2373) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2377) {G2,W8,D5,L1,V1,M1} { X ==> join( complement( complement(
% 0.87/1.24 X ) ), complement( top ) ) }.
% 0.87/1.24 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent1[0; 7]: (2376) {G2,W11,D6,L1,V1,M1} { X ==> join( complement(
% 0.87/1.24 complement( X ) ), complement( join( complement( X ), X ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2378) {G2,W7,D5,L1,V1,M1} { X ==> join( complement( complement(
% 0.87/1.24 X ) ), zero ) }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 6]: (2377) {G2,W8,D5,L1,V1,M1} { X ==> join( complement(
% 0.87/1.24 complement( X ) ), complement( top ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2379) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.87/1.24 zero ) ==> X }.
% 0.87/1.24 parent0[0]: (2378) {G2,W7,D5,L1,V1,M1} { X ==> join( complement(
% 0.87/1.24 complement( X ) ), zero ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (314) {G7,W7,D5,L1,V1,M1} P(289,30);d(17);d(58) { join(
% 0.87/1.24 complement( complement( X ) ), zero ) ==> X }.
% 0.87/1.24 parent0: (2379) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) )
% 0.87/1.24 , zero ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2381) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.24 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2384) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 0.87/1.24 ) ), complement( converse( top ) ) ) }.
% 0.87/1.24 parent0[0]: (201) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.87/1.24 ) ==> converse( top ) }.
% 0.87/1.24 parent1[0; 8]: (2381) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := converse( top )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2386) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.87/1.24 ), complement( top ) ) }.
% 0.87/1.24 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 8]: (2384) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.87/1.24 ( top ) ), complement( converse( top ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2387) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.87/1.24 complement( top ) ) }.
% 0.87/1.24 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent1[0; 5]: (2386) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.87/1.24 ( top ) ), complement( top ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2390) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 6]: (2387) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.87/1.24 complement( top ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2391) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (2390) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.87/1.24 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (319) {G10,W7,D4,L1,V1,M1} P(201,30);d(207);d(58) { join( meet
% 0.87/1.24 ( X, top ), zero ) ==> X }.
% 0.87/1.24 parent0: (2391) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2393) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.87/1.24 ), complement( X ) ) }.
% 0.87/1.24 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.87/1.24 complement( Y ) ) ==> join( X, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2395) {G2,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.87/1.24 ( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) ) }.
% 0.87/1.24 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 parent1[0; 9]: (2393) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.87/1.24 ( X, Y ), complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := meet( X, Y )
% 0.87/1.24 Y := complement( join( complement( X ), Y ) )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2396) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet( X
% 0.87/1.24 , Y ) ) ) }.
% 0.87/1.24 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 parent1[0; 1]: (2395) {G2,W14,D6,L1,V2,M1} { join( complement( join(
% 0.87/1.24 complement( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( join( complement( X ), Y ) )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2397) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) ) )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent0[0]: (2396) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet
% 0.87/1.24 ( X, Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (331) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X,
% 0.87/1.24 complement( meet( X, Y ) ) ) ==> top }.
% 0.87/1.24 parent0: (2397) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 0.87/1.24 ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2399) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.24 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2401) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.87/1.24 ( top ) ) }.
% 0.87/1.24 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.24 ==> top }.
% 0.87/1.24 parent1[0; 7]: (2399) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2402) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 6]: (2401) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.87/1.24 complement( top ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2403) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.87/1.24 parent0[0]: (2402) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (333) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X )
% 0.87/1.24 , zero ) ==> X }.
% 0.87/1.24 parent0: (2403) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2405) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.24 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2407) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 0.87/1.24 ( complement( X ), complement( X ) ) ) ) }.
% 0.87/1.24 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 3]: (2405) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := complement( X )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2408) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 parent1[0; 4]: (2407) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 0.87/1.24 ( join( complement( X ), complement( X ) ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2409) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.87/1.24 parent0[0]: (2408) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (338) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X
% 0.87/1.24 , X ) ) ==> X }.
% 0.87/1.24 parent0: (2409) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2410) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (319) {G10,W7,D4,L1,V1,M1} P(201,30);d(207);d(58) { join( meet
% 0.87/1.24 ( X, top ), zero ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2411) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.87/1.24 Y ) }.
% 0.87/1.24 parent1[0; 3]: (2410) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.87/1.24 zero ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := top
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2414) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (2411) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 0.87/1.24 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (343) {G11,W7,D4,L1,V1,M1} P(56,319) { join( meet( top, X ),
% 0.87/1.24 zero ) ==> X }.
% 0.87/1.24 parent0: (2414) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2416) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.24 ), complement( Y ) ) }.
% 0.87/1.24 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.24 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 Y := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2418) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top ) ==>
% 0.87/1.24 join( X, complement( zero ) ) }.
% 0.87/1.24 parent0[0]: (319) {G10,W7,D4,L1,V1,M1} P(201,30);d(207);d(58) { join( meet
% 0.87/1.24 ( X, top ), zero ) ==> X }.
% 0.87/1.24 parent1[0; 7]: (2416) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.24 ( X, Y ), complement( Y ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := meet( X, top )
% 0.87/1.24 Y := zero
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2419) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 parent1[0; 1]: (2418) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top )
% 0.87/1.24 ==> join( X, complement( zero ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := meet( X, top )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2420) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==> top
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (2419) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero
% 0.87/1.24 ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (345) {G11,W6,D4,L1,V1,M1} P(319,20);d(171) { join( X,
% 0.87/1.24 complement( zero ) ) ==> top }.
% 0.87/1.24 parent0: (2420) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2421) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (345) {G11,W6,D4,L1,V1,M1} P(319,20);d(171) { join( X,
% 0.87/1.24 complement( zero ) ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2423) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 0.87/1.24 parent0[0]: (281) {G5,W8,D4,L1,V1,M1} P(276,10);d(268) { join( complement(
% 0.87/1.24 X ), complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 parent1[0; 2]: (2421) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 0.87/1.24 zero ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := zero
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := complement( zero )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2424) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 0.87/1.24 parent0[0]: (2423) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (348) {G12,W4,D3,L1,V0,M1} P(345,281) { complement( zero ) ==>
% 0.87/1.24 top }.
% 0.87/1.24 parent0: (2424) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2426) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.24 complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.24 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2428) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement( top
% 0.87/1.24 ) }.
% 0.87/1.24 parent0[0]: (345) {G11,W6,D4,L1,V1,M1} P(319,20);d(171) { join( X,
% 0.87/1.24 complement( zero ) ) ==> top }.
% 0.87/1.24 parent1[0; 5]: (2426) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.24 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 Y := zero
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2429) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.87/1.24 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 4]: (2428) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement
% 0.87/1.24 ( top ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (349) {G12,W5,D3,L1,V1,M1} P(345,3);d(58) { meet( X, zero )
% 0.87/1.24 ==> zero }.
% 0.87/1.24 parent0: (2429) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2431) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (343) {G11,W7,D4,L1,V1,M1} P(56,319) { join( meet( top, X ),
% 0.87/1.24 zero ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2432) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.24 parent1[0; 2]: (2431) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.87/1.24 zero ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := meet( top, X )
% 0.87/1.24 Y := zero
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2435) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 parent0[0]: (2432) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 0.87/1.24 ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (358) {G12,W7,D4,L1,V1,M1} P(343,0) { join( zero, meet( top, X
% 0.87/1.24 ) ) ==> X }.
% 0.87/1.24 parent0: (2435) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.87/1.24 }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2437) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.24 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 Y := Y
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2439) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join( meet(
% 0.87/1.24 complement( X ), zero ), complement( X ) ) }.
% 0.87/1.24 parent0[0]: (314) {G7,W7,D5,L1,V1,M1} P(289,30);d(17);d(58) { join(
% 0.87/1.24 complement( complement( X ) ), zero ) ==> X }.
% 0.87/1.24 parent1[0; 9]: (2437) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.24 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 Y := zero
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2440) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 parent0[0]: (349) {G12,W5,D3,L1,V1,M1} P(345,3);d(58) { meet( X, zero ) ==>
% 0.87/1.24 zero }.
% 0.87/1.24 parent1[0; 4]: (2439) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.24 meet( complement( X ), zero ), complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2441) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.87/1.24 complement( X ) }.
% 0.87/1.24 parent0[0]: (2440) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (366) {G13,W7,D4,L1,V1,M1} P(314,30);d(349) { join( zero,
% 0.87/1.24 complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 parent0: (2441) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.87/1.24 complement( X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 eqswap: (2443) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.24 complement( X ) ) }.
% 0.87/1.24 parent0[0]: (366) {G13,W7,D4,L1,V1,M1} P(314,30);d(349) { join( zero,
% 0.87/1.24 complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2446) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.24 join( zero, meet( X, X ) ) }.
% 0.87/1.24 parent0[0]: (289) {G6,W7,D4,L1,V1,M1} P(281,3) { complement( complement( X
% 0.87/1.24 ) ) = meet( X, X ) }.
% 0.87/1.24 parent1[0; 6]: (2443) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.24 zero, complement( X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := complement( X )
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2447) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet( X
% 0.87/1.24 , X ) ) }.
% 0.87/1.24 parent0[0]: (289) {G6,W7,D4,L1,V1,M1} P(281,3) { complement( complement( X
% 0.87/1.24 ) ) = meet( X, X ) }.
% 0.87/1.24 parent1[0; 1]: (2446) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 0.87/1.24 ==> join( zero, meet( X, X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2450) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.87/1.24 parent0[0]: (338) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 0.87/1.24 X ) ) ==> X }.
% 0.87/1.24 parent1[0; 4]: (2447) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 0.87/1.24 meet( X, X ) ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (376) {G14,W5,D3,L1,V1,M1} P(289,366);d(338) { meet( X, X )
% 0.87/1.24 ==> X }.
% 0.87/1.24 parent0: (2450) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := X
% 0.87/1.24 end
% 0.87/1.24 permutation0:
% 0.87/1.24 0 ==> 0
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 paramod: (2454) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement(
% 0.87/1.24 Y ) ) = join( complement( Y ), X ) }.
% 0.87/1.24 parent0[0]: (366) {G13,W7,D4,L1,V1,M1} P(314,30);d(349) { join( zero,
% 0.87/1.24 complement( X ) ) ==> complement( X ) }.
% 0.87/1.24 parent1[0; 8]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 0.87/1.24 X ) = join( join( Z, X ), Y ) }.
% 0.87/1.24 substitution0:
% 0.87/1.24 X := Y
% 0.87/1.24 end
% 0.87/1.24 substitution1:
% 0.87/1.24 X := complement( Y )
% 0.87/1.24 Y := X
% 0.87/1.24 Z := zero
% 0.87/1.24 end
% 0.87/1.24
% 0.87/1.24 subsumption: (377) {G14,W11,D4,L1,V2,M1} P(366,19) { join( join( zero, Y )
% 0.87/1.24 , complement( X ) ) ==> join( complement( X ), Y ) }.
% 0.87/1.24 parent0: (2454) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement(
% 0.87/1.25 Y ) ) = join( complement( Y ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2456) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.87/1.25 zero, complement( X ) ) ) }.
% 0.87/1.25 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.87/1.25 complement( X ) ) ) ==> meet( top, X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2463) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.87/1.25 complement( X ) ) }.
% 0.87/1.25 parent0[0]: (366) {G13,W7,D4,L1,V1,M1} P(314,30);d(349) { join( zero,
% 0.87/1.25 complement( X ) ) ==> complement( X ) }.
% 0.87/1.25 parent1[0; 5]: (2456) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.87/1.25 ( join( zero, complement( X ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (381) {G14,W7,D4,L1,V1,M1} P(366,59) { meet( top, X ) ==>
% 0.87/1.25 complement( complement( X ) ) }.
% 0.87/1.25 parent0: (2463) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.87/1.25 complement( X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2466) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.25 complement( X ) ) }.
% 0.87/1.25 parent0[0]: (366) {G13,W7,D4,L1,V1,M1} P(314,30);d(349) { join( zero,
% 0.87/1.25 complement( X ) ) ==> complement( X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2471) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 0.87/1.25 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.87/1.25 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.87/1.25 complement( X ) ) ) ==> meet( top, X ) }.
% 0.87/1.25 parent1[0; 8]: (2466) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.25 zero, complement( X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := join( zero, complement( X ) )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2472) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 0.87/1.25 ( top, X ) ) }.
% 0.87/1.25 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.87/1.25 complement( X ) ) ) ==> meet( top, X ) }.
% 0.87/1.25 parent1[0; 1]: (2471) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.87/1.25 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2474) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.87/1.25 parent0[0]: (358) {G12,W7,D4,L1,V1,M1} P(343,0) { join( zero, meet( top, X
% 0.87/1.25 ) ) ==> X }.
% 0.87/1.25 parent1[0; 4]: (2472) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 0.87/1.25 , meet( top, X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2475) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent0[0]: (381) {G14,W7,D4,L1,V1,M1} P(366,59) { meet( top, X ) ==>
% 0.87/1.25 complement( complement( X ) ) }.
% 0.87/1.25 parent1[0; 1]: (2474) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) {
% 0.87/1.25 complement( complement( X ) ) ==> X }.
% 0.87/1.25 parent0: (2475) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2478) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.87/1.25 parent0[0]: (333) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X ),
% 0.87/1.25 zero ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2479) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.87/1.25 parent0[0]: (376) {G14,W5,D3,L1,V1,M1} P(289,366);d(338) { meet( X, X ) ==>
% 0.87/1.25 X }.
% 0.87/1.25 parent1[0; 3]: (2478) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero
% 0.87/1.25 ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2480) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.87/1.25 parent0[0]: (2479) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (387) {G15,W5,D3,L1,V1,M1} P(376,333) { join( X, zero ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent0: (2480) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2482) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.87/1.25 ( X ), complement( X ) ) }.
% 0.87/1.25 parent0[0]: (281) {G5,W8,D4,L1,V1,M1} P(276,10);d(268) { join( complement(
% 0.87/1.25 X ), complement( X ) ) ==> complement( X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2485) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.25 join( complement( complement( X ) ), X ) }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 parent1[0; 8]: (2482) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.25 complement( X ), complement( X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := complement( X )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2487) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.25 join( X, X ) }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 parent1[0; 5]: (2485) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.87/1.25 ==> join( complement( complement( X ) ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2488) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 parent1[0; 1]: (2487) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.87/1.25 ==> join( X, X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2494) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.87/1.25 parent0[0]: (2488) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (393) {G16,W5,D3,L1,V1,M1} P(382,281) { join( X, X ) ==> X }.
% 0.87/1.25 parent0: (2494) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2498) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.25 complement( X ), complement( Y ) ) ) }.
% 0.87/1.25 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.25 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2502) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.87/1.25 complement( join( complement( X ), Y ) ) }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 parent1[0; 9]: (2498) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.25 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := complement( Y )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2504) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.87/1.25 ) ) ==> meet( X, complement( Y ) ) }.
% 0.87/1.25 parent0[0]: (2502) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.87/1.25 complement( join( complement( X ), Y ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (396) {G16,W10,D5,L1,V2,M1} P(382,3) { complement( join(
% 0.87/1.25 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.87/1.25 parent0: (2504) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.87/1.25 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2505) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.87/1.25 parent0[0]: (393) {G16,W5,D3,L1,V1,M1} P(382,281) { join( X, X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2508) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 0.87/1.25 join( X, Y ) ), Y ) }.
% 0.87/1.25 parent0[0]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.87/1.25 = join( join( Z, X ), Y ) }.
% 0.87/1.25 parent1[0; 4]: (2505) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := join( X, Y )
% 0.87/1.25 Y := Y
% 0.87/1.25 Z := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := join( X, Y )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2510) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join(
% 0.87/1.25 X, X ), Y ), Y ) }.
% 0.87/1.25 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.25 join( X, Y ), Z ) }.
% 0.87/1.25 parent1[0; 5]: (2508) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.87/1.25 X, join( X, Y ) ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := X
% 0.87/1.25 Z := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2511) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.87/1.25 , Y ) }.
% 0.87/1.25 parent0[0]: (393) {G16,W5,D3,L1,V1,M1} P(382,281) { join( X, X ) ==> X }.
% 0.87/1.25 parent1[0; 6]: (2510) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.87/1.25 join( X, X ), Y ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2512) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.87/1.25 Y ) }.
% 0.87/1.25 parent0[0]: (2511) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.87/1.25 ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (398) {G17,W9,D4,L1,V2,M1} P(393,19);d(1);d(393) { join( join
% 0.87/1.25 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.87/1.25 parent0: (2512) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 0.87/1.25 , Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2515) {G15,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 parent1[0; 4]: (381) {G14,W7,D4,L1,V1,M1} P(366,59) { meet( top, X ) ==>
% 0.87/1.25 complement( complement( X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (408) {G16,W5,D3,L1,V1,M1} S(381);d(382) { meet( top, X ) ==>
% 0.87/1.25 X }.
% 0.87/1.25 parent0: (2515) {G15,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2518) {G2,W10,D6,L1,V2,M1} { top ==> join( join( complement( join
% 0.87/1.25 ( X, Y ) ), X ), Y ) }.
% 0.87/1.25 parent0[0]: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 0.87/1.25 join( X, Y ) ), X ), Y ) ==> top }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2521) {G3,W11,D5,L1,V2,M1} { top ==> join( join( complement( top
% 0.87/1.25 ), X ), complement( meet( X, Y ) ) ) }.
% 0.87/1.25 parent0[0]: (331) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X, complement
% 0.87/1.25 ( meet( X, Y ) ) ) ==> top }.
% 0.87/1.25 parent1[0; 5]: (2518) {G2,W10,D6,L1,V2,M1} { top ==> join( join(
% 0.87/1.25 complement( join( X, Y ) ), X ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := complement( meet( X, Y ) )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2522) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X ),
% 0.87/1.25 complement( meet( X, Y ) ) ) }.
% 0.87/1.25 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.25 zero }.
% 0.87/1.25 parent1[0; 4]: (2521) {G3,W11,D5,L1,V2,M1} { top ==> join( join(
% 0.87/1.25 complement( top ), X ), complement( meet( X, Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2523) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X, Y
% 0.87/1.25 ) ), X ) }.
% 0.87/1.25 parent0[0]: (377) {G14,W11,D4,L1,V2,M1} P(366,19) { join( join( zero, Y ),
% 0.87/1.25 complement( X ) ) ==> join( complement( X ), Y ) }.
% 0.87/1.25 parent1[0; 2]: (2522) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X )
% 0.87/1.25 , complement( meet( X, Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := meet( X, Y )
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2524) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X )
% 0.87/1.25 ==> top }.
% 0.87/1.25 parent0[0]: (2523) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X
% 0.87/1.25 , Y ) ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (431) {G15,W8,D5,L1,V2,M1} P(331,21);d(58);d(377) { join(
% 0.87/1.25 complement( meet( X, Y ) ), X ) ==> top }.
% 0.87/1.25 parent0: (2524) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X
% 0.87/1.25 ) ==> top }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2526) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.25 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.25 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2529) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet(
% 0.87/1.25 X, Y ), X ), complement( top ) ) }.
% 0.87/1.25 parent0[0]: (431) {G15,W8,D5,L1,V2,M1} P(331,21);d(58);d(377) { join(
% 0.87/1.25 complement( meet( X, Y ) ), X ) ==> top }.
% 0.87/1.25 parent1[0; 11]: (2526) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := meet( X, Y )
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2530) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet(
% 0.87/1.25 X, Y ), X ), zero ) }.
% 0.87/1.25 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.25 zero }.
% 0.87/1.25 parent1[0; 10]: (2529) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 0.87/1.25 ( meet( X, Y ), X ), complement( top ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2531) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.87/1.25 , X ) }.
% 0.87/1.25 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(376,333) { join( X, zero ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 4]: (2530) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet(
% 0.87/1.25 meet( X, Y ), X ), zero ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := meet( meet( X, Y ), X )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2532) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), X ) ==> meet( X,
% 0.87/1.25 Y ) }.
% 0.87/1.25 parent0[0]: (2531) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y
% 0.87/1.25 ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (442) {G16,W9,D4,L1,V2,M1} P(431,30);d(58);d(387) { meet( meet
% 0.87/1.25 ( X, Y ), X ) ==> meet( X, Y ) }.
% 0.87/1.25 parent0: (2532) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), X ) ==> meet( X
% 0.87/1.25 , Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2533) {G15,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X, Y
% 0.87/1.25 ) ), X ) }.
% 0.87/1.25 parent0[0]: (431) {G15,W8,D5,L1,V2,M1} P(331,21);d(58);d(377) { join(
% 0.87/1.25 complement( meet( X, Y ) ), X ) ==> top }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2534) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet( Y, X
% 0.87/1.25 ) ), X ) }.
% 0.87/1.25 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.87/1.25 Y ) }.
% 0.87/1.25 parent1[0; 4]: (2533) {G15,W8,D5,L1,V2,M1} { top ==> join( complement(
% 0.87/1.25 meet( X, Y ) ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2537) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y )
% 0.87/1.25 ==> top }.
% 0.87/1.25 parent0[0]: (2534) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet( Y
% 0.87/1.25 , X ) ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (445) {G16,W8,D5,L1,V2,M1} P(56,431) { join( complement( meet
% 0.87/1.25 ( Y, X ) ), X ) ==> top }.
% 0.87/1.25 parent0: (2537) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y
% 0.87/1.25 ) ==> top }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2539) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.25 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.25 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2542) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet(
% 0.87/1.25 X, Y ), Y ), complement( top ) ) }.
% 0.87/1.25 parent0[0]: (445) {G16,W8,D5,L1,V2,M1} P(56,431) { join( complement( meet(
% 0.87/1.25 Y, X ) ), X ) ==> top }.
% 0.87/1.25 parent1[0; 11]: (2539) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := meet( X, Y )
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2543) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet(
% 0.87/1.25 X, Y ), Y ), zero ) }.
% 0.87/1.25 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.25 zero }.
% 0.87/1.25 parent1[0; 10]: (2542) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 0.87/1.25 ( meet( X, Y ), Y ), complement( top ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2544) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.87/1.25 , Y ) }.
% 0.87/1.25 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(376,333) { join( X, zero ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 4]: (2543) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet(
% 0.87/1.25 meet( X, Y ), Y ), zero ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := meet( meet( X, Y ), Y )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2545) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X,
% 0.87/1.25 Y ) }.
% 0.87/1.25 parent0[0]: (2544) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y
% 0.87/1.25 ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (448) {G17,W9,D4,L1,V2,M1} P(445,30);d(58);d(387) { meet( meet
% 0.87/1.25 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 0.87/1.25 parent0: (2545) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X
% 0.87/1.25 , Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2546) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.87/1.25 , Y ) }.
% 0.87/1.25 parent0[0]: (448) {G17,W9,D4,L1,V2,M1} P(445,30);d(58);d(387) { meet( meet
% 0.87/1.25 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2549) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X, Y
% 0.87/1.25 ) ) }.
% 0.87/1.25 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.87/1.25 Y ) }.
% 0.87/1.25 parent1[0; 4]: (2546) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet(
% 0.87/1.25 X, Y ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := meet( X, Y )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2562) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X,
% 0.87/1.25 Y ) }.
% 0.87/1.25 parent0[0]: (2549) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X
% 0.87/1.25 , Y ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (481) {G18,W9,D4,L1,V2,M1} P(448,56) { meet( Y, meet( X, Y ) )
% 0.87/1.25 ==> meet( X, Y ) }.
% 0.87/1.25 parent0: (2562) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 0.87/1.25 , Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2564) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.87/1.25 , Y ) }.
% 0.87/1.25 parent0[0]: (398) {G17,W9,D4,L1,V2,M1} P(393,19);d(1);d(393) { join( join(
% 0.87/1.25 X, Y ), Y ) ==> join( X, Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2567) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.87/1.25 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.87/1.25 ( X ), Y ) ) ) }.
% 0.87/1.25 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.25 parent1[0; 11]: (2564) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 0.87/1.25 ( X, Y ), Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := meet( X, Y )
% 0.87/1.25 Y := complement( join( complement( X ), Y ) )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2568) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.87/1.25 complement( X ), Y ) ) ) }.
% 0.87/1.25 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.25 parent1[0; 1]: (2567) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.87/1.25 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.87/1.25 ( complement( X ), Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2575) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.87/1.25 Y ) ) ) }.
% 0.87/1.25 parent0[0]: (396) {G16,W10,D5,L1,V2,M1} P(382,3) { complement( join(
% 0.87/1.25 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.87/1.25 parent1[0; 4]: (2568) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.87/1.25 join( complement( X ), Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2576) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.87/1.25 ==> X }.
% 0.87/1.25 parent0[0]: (2575) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.87/1.25 complement( Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (487) {G18,W8,D5,L1,V2,M1} P(30,398);d(396) { join( X, meet( X
% 0.87/1.25 , complement( Y ) ) ) ==> X }.
% 0.87/1.25 parent0: (2576) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.87/1.25 ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2578) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.87/1.25 Y ) ) ) }.
% 0.87/1.25 parent0[0]: (487) {G18,W8,D5,L1,V2,M1} P(30,398);d(396) { join( X, meet( X
% 0.87/1.25 , complement( Y ) ) ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2579) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 parent1[0; 6]: (2578) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.87/1.25 complement( Y ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := complement( Y )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2580) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.87/1.25 parent0[0]: (2579) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.87/1.25 }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (496) {G19,W7,D4,L1,V2,M1} P(382,487) { join( Y, meet( Y, X )
% 0.87/1.25 ) ==> Y }.
% 0.87/1.25 parent0: (2580) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2582) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.87/1.25 parent0[0]: (496) {G19,W7,D4,L1,V2,M1} P(382,487) { join( Y, meet( Y, X ) )
% 0.87/1.25 ==> Y }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2583) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.87/1.25 parent0[0]: (481) {G18,W9,D4,L1,V2,M1} P(448,56) { meet( Y, meet( X, Y ) )
% 0.87/1.25 ==> meet( X, Y ) }.
% 0.87/1.25 parent1[0; 4]: (2582) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.87/1.25 }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := Y
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := meet( Y, X )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2584) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.87/1.25 parent0[0]: (2583) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 0.87/1.25 }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (511) {G20,W7,D4,L1,V2,M1} P(481,496) { join( X, meet( Y, X )
% 0.87/1.25 ) ==> X }.
% 0.87/1.25 parent0: (2584) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2587) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.87/1.25 complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.25 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(376,333) { join( X, zero ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 1]: (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition(
% 0.87/1.25 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := composition( converse( X ), complement( composition( X, top ) ) )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (948) {G16,W9,D5,L1,V1,M1} S(82);d(387) { composition(
% 0.87/1.25 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.25 parent0: (2587) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.87/1.25 complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2590) {G16,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 0.87/1.25 , complement( composition( X, top ) ) ) }.
% 0.87/1.25 parent0[0]: (948) {G16,W9,D5,L1,V1,M1} S(82);d(387) { composition( converse
% 0.87/1.25 ( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2591) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.87/1.25 complement( composition( top, top ) ) ) }.
% 0.87/1.25 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 3]: (2590) {G16,W9,D5,L1,V1,M1} { zero ==> composition(
% 0.87/1.25 converse( X ), complement( composition( X, top ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := top
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2592) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.87/1.25 composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 parent0[0]: (2591) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.87/1.25 complement( composition( top, top ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (982) {G17,W8,D5,L1,V0,M1} P(207,948) { composition( top,
% 0.87/1.25 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 parent0: (2592) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.87/1.25 composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2594) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 0.87/1.25 join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.87/1.25 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.87/1.25 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Z
% 0.87/1.25 Z := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2599) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.25 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.87/1.25 complement( composition( top, top ) ) ), zero ) }.
% 0.87/1.25 parent0[0]: (982) {G17,W8,D5,L1,V0,M1} P(207,948) { composition( top,
% 0.87/1.25 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 parent1[0; 16]: (2594) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y
% 0.87/1.25 ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 Y := complement( composition( top, top ) )
% 0.87/1.25 Z := top
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2600) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.25 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.87/1.25 composition( top, top ) ) ) }.
% 0.87/1.25 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(376,333) { join( X, zero ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 9]: (2599) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.25 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.87/1.25 complement( composition( top, top ) ) ), zero ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := composition( X, complement( composition( top, top ) ) )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2601) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 0.87/1.25 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 0.87/1.25 top, top ) ) ) }.
% 0.87/1.25 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.87/1.25 top }.
% 0.87/1.25 parent1[0; 2]: (2600) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.25 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.87/1.25 composition( top, top ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2602) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 0.87/1.25 ( composition( top, top ) ) ) }.
% 0.87/1.25 parent0[0]: (982) {G17,W8,D5,L1,V0,M1} P(207,948) { composition( top,
% 0.87/1.25 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 parent1[0; 1]: (2601) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 0.87/1.25 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 0.87/1.25 ( top, top ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2603) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.87/1.25 composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 parent0[0]: (2602) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 0.87/1.25 complement( composition( top, top ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (987) {G18,W8,D5,L1,V1,M1} P(982,6);d(387);d(171);d(982) {
% 0.87/1.25 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 parent0: (2603) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.87/1.25 composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2604) {G18,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 0.87/1.25 ( composition( top, top ) ) ) }.
% 0.87/1.25 parent0[0]: (987) {G18,W8,D5,L1,V1,M1} P(982,6);d(387);d(171);d(982) {
% 0.87/1.25 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2606) {G5,W6,D4,L1,V0,M1} { zero ==> complement( composition(
% 0.87/1.25 top, top ) ) }.
% 0.87/1.25 parent0[0]: (276) {G4,W5,D3,L1,V1,M1} P(274,268) { composition( one, X )
% 0.87/1.25 ==> X }.
% 0.87/1.25 parent1[0; 2]: (2604) {G18,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 0.87/1.25 complement( composition( top, top ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := complement( composition( top, top ) )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := one
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2607) {G5,W6,D4,L1,V0,M1} { complement( composition( top, top ) )
% 0.87/1.25 ==> zero }.
% 0.87/1.25 parent0[0]: (2606) {G5,W6,D4,L1,V0,M1} { zero ==> complement( composition
% 0.87/1.25 ( top, top ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (992) {G19,W6,D4,L1,V0,M1} P(987,276) { complement(
% 0.87/1.25 composition( top, top ) ) ==> zero }.
% 0.87/1.25 parent0: (2607) {G5,W6,D4,L1,V0,M1} { complement( composition( top, top )
% 0.87/1.25 ) ==> zero }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2609) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 0.87/1.25 }.
% 0.87/1.25 parent0[0]: (382) {G15,W5,D4,L1,V1,M1} P(59,366);d(358);d(381) { complement
% 0.87/1.25 ( complement( X ) ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2611) {G16,W6,D3,L1,V0,M1} { composition( top, top ) ==>
% 0.87/1.25 complement( zero ) }.
% 0.87/1.25 parent0[0]: (992) {G19,W6,D4,L1,V0,M1} P(987,276) { complement( composition
% 0.87/1.25 ( top, top ) ) ==> zero }.
% 0.87/1.25 parent1[0; 5]: (2609) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement
% 0.87/1.25 ( X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := composition( top, top )
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2612) {G13,W5,D3,L1,V0,M1} { composition( top, top ) ==> top }.
% 0.87/1.25 parent0[0]: (348) {G12,W4,D3,L1,V0,M1} P(345,281) { complement( zero ) ==>
% 0.87/1.25 top }.
% 0.87/1.25 parent1[0; 4]: (2611) {G16,W6,D3,L1,V0,M1} { composition( top, top ) ==>
% 0.87/1.25 complement( zero ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (1003) {G20,W5,D3,L1,V0,M1} P(992,382);d(348) { composition(
% 0.87/1.25 top, top ) ==> top }.
% 0.87/1.25 parent0: (2612) {G13,W5,D3,L1,V0,M1} { composition( top, top ) ==> top }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2615) {G0,W27,D8,L1,V3,M1} { meet( composition( X, meet( Y,
% 0.87/1.25 composition( converse( X ), Z ) ) ), Z ) ==> join( meet( composition( X,
% 0.87/1.25 Y ), Z ), meet( composition( X, meet( Y, composition( converse( X ), Z )
% 0.87/1.25 ) ), Z ) ) }.
% 0.87/1.25 parent0[0]: (14) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.87/1.25 Z ), meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ),
% 0.87/1.25 Z ) ) ==> meet( composition( X, meet( Y, composition( converse( X ), Z )
% 0.87/1.25 ) ), Z ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 Z := Z
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2623) {G1,W25,D8,L1,V1,M1} { meet( composition( top, meet( top,
% 0.87/1.25 composition( converse( top ), X ) ) ), X ) ==> join( meet( top, X ), meet
% 0.87/1.25 ( composition( top, meet( top, composition( converse( top ), X ) ) ), X )
% 0.87/1.25 ) }.
% 0.87/1.25 parent0[0]: (1003) {G20,W5,D3,L1,V0,M1} P(992,382);d(348) { composition(
% 0.87/1.25 top, top ) ==> top }.
% 0.87/1.25 parent1[0; 13]: (2615) {G0,W27,D8,L1,V3,M1} { meet( composition( X, meet(
% 0.87/1.25 Y, composition( converse( X ), Z ) ) ), Z ) ==> join( meet( composition(
% 0.87/1.25 X, Y ), Z ), meet( composition( X, meet( Y, composition( converse( X ), Z
% 0.87/1.25 ) ) ), Z ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := top
% 0.87/1.25 Y := top
% 0.87/1.25 Z := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2626) {G2,W23,D8,L1,V1,M1} { meet( composition( top, meet( top,
% 0.87/1.25 composition( converse( top ), X ) ) ), X ) ==> join( X, meet( composition
% 0.87/1.25 ( top, meet( top, composition( converse( top ), X ) ) ), X ) ) }.
% 0.87/1.25 parent0[0]: (408) {G16,W5,D3,L1,V1,M1} S(381);d(382) { meet( top, X ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 12]: (2623) {G1,W25,D8,L1,V1,M1} { meet( composition( top, meet
% 0.87/1.25 ( top, composition( converse( top ), X ) ) ), X ) ==> join( meet( top, X
% 0.87/1.25 ), meet( composition( top, meet( top, composition( converse( top ), X )
% 0.87/1.25 ) ), X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2631) {G3,W12,D7,L1,V1,M1} { meet( composition( top, meet( top,
% 0.87/1.25 composition( converse( top ), X ) ) ), X ) ==> X }.
% 0.87/1.25 parent0[0]: (511) {G20,W7,D4,L1,V2,M1} P(481,496) { join( X, meet( Y, X ) )
% 0.87/1.25 ==> X }.
% 0.87/1.25 parent1[0; 11]: (2626) {G2,W23,D8,L1,V1,M1} { meet( composition( top, meet
% 0.87/1.25 ( top, composition( converse( top ), X ) ) ), X ) ==> join( X, meet(
% 0.87/1.25 composition( top, meet( top, composition( converse( top ), X ) ) ), X ) )
% 0.87/1.25 }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := composition( top, meet( top, composition( converse( top ), X ) ) )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2632) {G4,W10,D6,L1,V1,M1} { meet( composition( top, composition
% 0.87/1.25 ( converse( top ), X ) ), X ) ==> X }.
% 0.87/1.25 parent0[0]: (408) {G16,W5,D3,L1,V1,M1} S(381);d(382) { meet( top, X ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 4]: (2631) {G3,W12,D7,L1,V1,M1} { meet( composition( top, meet
% 0.87/1.25 ( top, composition( converse( top ), X ) ) ), X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := composition( converse( top ), X )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2633) {G1,W10,D6,L1,V1,M1} { meet( composition( composition( top
% 0.87/1.25 , converse( top ) ), X ), X ) ==> X }.
% 0.87/1.25 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.87/1.25 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.87/1.25 parent1[0; 2]: (2632) {G4,W10,D6,L1,V1,M1} { meet( composition( top,
% 0.87/1.25 composition( converse( top ), X ) ), X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := top
% 0.87/1.25 Y := converse( top )
% 0.87/1.25 Z := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2634) {G2,W10,D6,L1,V1,M1} { meet( composition( converse(
% 0.87/1.25 composition( top, top ) ), X ), X ) ==> X }.
% 0.87/1.25 parent0[0]: (209) {G10,W9,D4,L1,V1,M1} P(207,9) { composition( top,
% 0.87/1.25 converse( X ) ) ==> converse( composition( X, top ) ) }.
% 0.87/1.25 parent1[0; 3]: (2633) {G1,W10,D6,L1,V1,M1} { meet( composition(
% 0.87/1.25 composition( top, converse( top ) ), X ), X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := top
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2635) {G3,W8,D5,L1,V1,M1} { meet( composition( converse( top ),
% 0.87/1.25 X ), X ) ==> X }.
% 0.87/1.25 parent0[0]: (1003) {G20,W5,D3,L1,V0,M1} P(992,382);d(348) { composition(
% 0.87/1.25 top, top ) ==> top }.
% 0.87/1.25 parent1[0; 4]: (2634) {G2,W10,D6,L1,V1,M1} { meet( composition( converse(
% 0.87/1.25 composition( top, top ) ), X ), X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2636) {G4,W7,D4,L1,V1,M1} { meet( composition( top, X ), X ) ==>
% 0.87/1.25 X }.
% 0.87/1.25 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 3]: (2635) {G3,W8,D5,L1,V1,M1} { meet( composition( converse(
% 0.87/1.25 top ), X ), X ) ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (1015) {G21,W7,D4,L1,V1,M1} P(1003,14);d(408);d(511);d(408);d(
% 0.87/1.25 4);d(209);d(1003);d(207) { meet( composition( top, X ), X ) ==> X }.
% 0.87/1.25 parent0: (2636) {G4,W7,D4,L1,V1,M1} { meet( composition( top, X ), X ) ==>
% 0.87/1.25 X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2639) {G16,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 0.87/1.25 , X ) }.
% 0.87/1.25 parent0[0]: (442) {G16,W9,D4,L1,V2,M1} P(431,30);d(58);d(387) { meet( meet
% 0.87/1.25 ( X, Y ), X ) ==> meet( X, Y ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2641) {G17,W11,D4,L1,V1,M1} { meet( composition( top, X ), X )
% 0.87/1.25 ==> meet( X, composition( top, X ) ) }.
% 0.87/1.25 parent0[0]: (1015) {G21,W7,D4,L1,V1,M1} P(1003,14);d(408);d(511);d(408);d(4
% 0.87/1.25 );d(209);d(1003);d(207) { meet( composition( top, X ), X ) ==> X }.
% 0.87/1.25 parent1[0; 7]: (2639) {G16,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet(
% 0.87/1.25 X, Y ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := composition( top, X )
% 0.87/1.25 Y := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2642) {G18,W7,D4,L1,V1,M1} { X ==> meet( X, composition( top, X
% 0.87/1.25 ) ) }.
% 0.87/1.25 parent0[0]: (1015) {G21,W7,D4,L1,V1,M1} P(1003,14);d(408);d(511);d(408);d(4
% 0.87/1.25 );d(209);d(1003);d(207) { meet( composition( top, X ), X ) ==> X }.
% 0.87/1.25 parent1[0; 1]: (2641) {G17,W11,D4,L1,V1,M1} { meet( composition( top, X )
% 0.87/1.25 , X ) ==> meet( X, composition( top, X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2644) {G18,W7,D4,L1,V1,M1} { meet( X, composition( top, X ) ) ==>
% 0.87/1.25 X }.
% 0.87/1.25 parent0[0]: (2642) {G18,W7,D4,L1,V1,M1} { X ==> meet( X, composition( top
% 0.87/1.25 , X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (1026) {G22,W7,D4,L1,V1,M1} P(1015,442) { meet( X, composition
% 0.87/1.25 ( top, X ) ) ==> X }.
% 0.87/1.25 parent0: (2644) {G18,W7,D4,L1,V1,M1} { meet( X, composition( top, X ) )
% 0.87/1.25 ==> X }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2647) {G0,W33,D7,L1,V3,M1} { composition( meet( X, composition( Z
% 0.87/1.25 , converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ==>
% 0.87/1.25 join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.87/1.25 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) }.
% 0.87/1.25 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.87/1.25 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.25 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.25 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.25 ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 Y := Y
% 0.87/1.25 Z := Z
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2655) {G1,W29,D7,L1,V1,M1} { composition( meet( top, composition
% 0.87/1.25 ( X, converse( X ) ) ), meet( X, composition( converse( top ), X ) ) )
% 0.87/1.25 ==> join( X, composition( meet( top, composition( X, converse( X ) ) ),
% 0.87/1.25 meet( X, composition( converse( top ), X ) ) ) ) }.
% 0.87/1.25 parent0[0]: (1015) {G21,W7,D4,L1,V1,M1} P(1003,14);d(408);d(511);d(408);d(4
% 0.87/1.25 );d(209);d(1003);d(207) { meet( composition( top, X ), X ) ==> X }.
% 0.87/1.25 parent1[0; 15]: (2647) {G0,W33,D7,L1,V3,M1} { composition( meet( X,
% 0.87/1.25 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.25 ) ) ) ==> join( meet( composition( X, Y ), Z ), composition( meet( X,
% 0.87/1.25 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.25 ) ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := top
% 0.87/1.25 Y := X
% 0.87/1.25 Z := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2659) {G2,W27,D7,L1,V1,M1} { composition( meet( top, composition
% 0.87/1.25 ( X, converse( X ) ) ), meet( X, composition( converse( top ), X ) ) )
% 0.87/1.25 ==> join( X, composition( composition( X, converse( X ) ), meet( X,
% 0.87/1.25 composition( converse( top ), X ) ) ) ) }.
% 0.87/1.25 parent0[0]: (408) {G16,W5,D3,L1,V1,M1} S(381);d(382) { meet( top, X ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 17]: (2655) {G1,W29,D7,L1,V1,M1} { composition( meet( top,
% 0.87/1.25 composition( X, converse( X ) ) ), meet( X, composition( converse( top )
% 0.87/1.25 , X ) ) ) ==> join( X, composition( meet( top, composition( X, converse(
% 0.87/1.25 X ) ) ), meet( X, composition( converse( top ), X ) ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := composition( X, converse( X ) )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2660) {G3,W25,D7,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), meet( X, composition( converse( top ), X ) ) ) ==> join
% 0.87/1.25 ( X, composition( composition( X, converse( X ) ), meet( X, composition(
% 0.87/1.25 converse( top ), X ) ) ) ) }.
% 0.87/1.25 parent0[0]: (408) {G16,W5,D3,L1,V1,M1} S(381);d(382) { meet( top, X ) ==> X
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 2]: (2659) {G2,W27,D7,L1,V1,M1} { composition( meet( top,
% 0.87/1.25 composition( X, converse( X ) ) ), meet( X, composition( converse( top )
% 0.87/1.25 , X ) ) ) ==> join( X, composition( composition( X, converse( X ) ), meet
% 0.87/1.25 ( X, composition( converse( top ), X ) ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := composition( X, converse( X ) )
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2675) {G4,W24,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), meet( X, composition( converse( top ), X ) ) ) ==> join
% 0.87/1.25 ( X, composition( composition( X, converse( X ) ), meet( X, composition(
% 0.87/1.25 top, X ) ) ) ) }.
% 0.87/1.25 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 22]: (2660) {G3,W25,D7,L1,V1,M1} { composition( composition( X
% 0.87/1.25 , converse( X ) ), meet( X, composition( converse( top ), X ) ) ) ==>
% 0.87/1.25 join( X, composition( composition( X, converse( X ) ), meet( X,
% 0.87/1.25 composition( converse( top ), X ) ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2676) {G5,W23,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), meet( X, composition( top, X ) ) ) ==> join( X,
% 0.87/1.25 composition( composition( X, converse( X ) ), meet( X, composition( top,
% 0.87/1.25 X ) ) ) ) }.
% 0.87/1.25 parent0[0]: (207) {G9,W4,D3,L1,V0,M1} P(201,174) { converse( top ) ==> top
% 0.87/1.25 }.
% 0.87/1.25 parent1[0; 9]: (2675) {G4,W24,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), meet( X, composition( converse( top ), X ) ) ) ==> join
% 0.87/1.25 ( X, composition( composition( X, converse( X ) ), meet( X, composition(
% 0.87/1.25 top, X ) ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2680) {G6,W19,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), meet( X, composition( top, X ) ) ) ==> join( X,
% 0.87/1.25 composition( composition( X, converse( X ) ), X ) ) }.
% 0.87/1.25 parent0[0]: (1026) {G22,W7,D4,L1,V1,M1} P(1015,442) { meet( X, composition
% 0.87/1.25 ( top, X ) ) ==> X }.
% 0.87/1.25 parent1[0; 18]: (2676) {G5,W23,D6,L1,V1,M1} { composition( composition( X
% 0.87/1.25 , converse( X ) ), meet( X, composition( top, X ) ) ) ==> join( X,
% 0.87/1.25 composition( composition( X, converse( X ) ), meet( X, composition( top,
% 0.87/1.25 X ) ) ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2681) {G7,W15,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), X ) ==> join( X, composition( composition( X, converse(
% 0.87/1.25 X ) ), X ) ) }.
% 0.87/1.25 parent0[0]: (1026) {G22,W7,D4,L1,V1,M1} P(1015,442) { meet( X, composition
% 0.87/1.25 ( top, X ) ) ==> X }.
% 0.87/1.25 parent1[0; 6]: (2680) {G6,W19,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), meet( X, composition( top, X ) ) ) ==> join( X,
% 0.87/1.25 composition( composition( X, converse( X ) ), X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqswap: (2683) {G7,W15,D6,L1,V1,M1} { join( X, composition( composition( X
% 0.87/1.25 , converse( X ) ), X ) ) ==> composition( composition( X, converse( X ) )
% 0.87/1.25 , X ) }.
% 0.87/1.25 parent0[0]: (2681) {G7,W15,D6,L1,V1,M1} { composition( composition( X,
% 0.87/1.25 converse( X ) ), X ) ==> join( X, composition( composition( X, converse(
% 0.87/1.25 X ) ), X ) ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (1033) {G23,W15,D6,L1,V1,M1} P(1015,13);d(408);d(207);d(1026)
% 0.87/1.25 { join( X, composition( composition( X, converse( X ) ), X ) ) ==>
% 0.87/1.25 composition( composition( X, converse( X ) ), X ) }.
% 0.87/1.25 parent0: (2683) {G7,W15,D6,L1,V1,M1} { join( X, composition( composition(
% 0.87/1.25 X, converse( X ) ), X ) ) ==> composition( composition( X, converse( X )
% 0.87/1.25 ), X ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := X
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 0 ==> 0
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 paramod: (2687) {G1,W13,D5,L1,V0,M1} { ! composition( composition( skol1,
% 0.87/1.25 converse( skol1 ) ), skol1 ) ==> composition( composition( skol1,
% 0.87/1.25 converse( skol1 ) ), skol1 ) }.
% 0.87/1.25 parent0[0]: (1033) {G23,W15,D6,L1,V1,M1} P(1015,13);d(408);d(207);d(1026)
% 0.87/1.25 { join( X, composition( composition( X, converse( X ) ), X ) ) ==>
% 0.87/1.25 composition( composition( X, converse( X ) ), X ) }.
% 0.87/1.25 parent1[0; 2]: (16) {G0,W15,D6,L1,V0,M1} I { ! join( skol1, composition(
% 0.87/1.25 composition( skol1, converse( skol1 ) ), skol1 ) ) ==> composition(
% 0.87/1.25 composition( skol1, converse( skol1 ) ), skol1 ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 X := skol1
% 0.87/1.25 end
% 0.87/1.25 substitution1:
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 eqrefl: (2688) {G0,W0,D0,L0,V0,M0} { }.
% 0.87/1.25 parent0[0]: (2687) {G1,W13,D5,L1,V0,M1} { ! composition( composition(
% 0.87/1.25 skol1, converse( skol1 ) ), skol1 ) ==> composition( composition( skol1,
% 0.87/1.25 converse( skol1 ) ), skol1 ) }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 subsumption: (2014) {G24,W0,D0,L0,V0,M0} S(16);d(1033);q { }.
% 0.87/1.25 parent0: (2688) {G0,W0,D0,L0,V0,M0} { }.
% 0.87/1.25 substitution0:
% 0.87/1.25 end
% 0.87/1.25 permutation0:
% 0.87/1.25 end
% 0.87/1.25
% 0.87/1.25 Proof check complete!
% 0.87/1.25
% 0.87/1.25 Memory use:
% 0.87/1.25
% 0.87/1.25 space for terms: 25038
% 0.87/1.25 space for clauses: 222528
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 clauses generated: 24559
% 0.87/1.25 clauses kept: 2015
% 0.87/1.25 clauses selected: 300
% 0.87/1.25 clauses deleted: 179
% 0.87/1.25 clauses inuse deleted: 74
% 0.87/1.25
% 0.87/1.25 subsentry: 3830
% 0.87/1.25 literals s-matched: 1684
% 0.87/1.25 literals matched: 1474
% 0.87/1.25 full subsumption: 0
% 0.87/1.25
% 0.87/1.25 checksum: -420925853
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Bliksem ended
%------------------------------------------------------------------------------