TSTP Solution File: REL023+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 19:00:23 EDT 2022
% Result : Theorem 0.47s 1.13s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jul 8 08:35:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.13 *** allocated 10000 integers for termspace/termends
% 0.47/1.13 *** allocated 10000 integers for clauses
% 0.47/1.13 *** allocated 10000 integers for justifications
% 0.47/1.13 Bliksem 1.12
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 Automatic Strategy Selection
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 Clauses:
% 0.47/1.13
% 0.47/1.13 { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.47/1.13 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.47/1.13 complement( join( complement( X ), Y ) ) ) }.
% 0.47/1.13 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.47/1.13 , Z ) }.
% 0.47/1.13 { composition( X, one ) = X }.
% 0.47/1.13 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.47/1.13 Y, Z ) ) }.
% 0.47/1.13 { converse( converse( X ) ) = X }.
% 0.47/1.13 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.47/1.13 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.47/1.13 ) ) }.
% 0.47/1.13 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.47/1.13 complement( Y ) ) = complement( Y ) }.
% 0.47/1.13 { top = join( X, complement( X ) ) }.
% 0.47/1.13 { zero = meet( X, complement( X ) ) }.
% 0.47/1.13 { ! join( composition( meet( skol1, converse( skol2 ) ), meet( skol2, skol3
% 0.47/1.13 ) ), composition( skol1, meet( skol2, skol3 ) ) ) = composition( skol1,
% 0.47/1.13 meet( skol2, skol3 ) ) }.
% 0.47/1.13
% 0.47/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.47/1.13 This is a pure equality problem
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 Options Used:
% 0.47/1.13
% 0.47/1.13 useres = 1
% 0.47/1.13 useparamod = 1
% 0.47/1.13 useeqrefl = 1
% 0.47/1.13 useeqfact = 1
% 0.47/1.13 usefactor = 1
% 0.47/1.13 usesimpsplitting = 0
% 0.47/1.13 usesimpdemod = 5
% 0.47/1.13 usesimpres = 3
% 0.47/1.13
% 0.47/1.13 resimpinuse = 1000
% 0.47/1.13 resimpclauses = 20000
% 0.47/1.13 substype = eqrewr
% 0.47/1.13 backwardsubs = 1
% 0.47/1.13 selectoldest = 5
% 0.47/1.13
% 0.47/1.13 litorderings [0] = split
% 0.47/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.47/1.13
% 0.47/1.13 termordering = kbo
% 0.47/1.13
% 0.47/1.13 litapriori = 0
% 0.47/1.13 termapriori = 1
% 0.47/1.13 litaposteriori = 0
% 0.47/1.13 termaposteriori = 0
% 0.47/1.13 demodaposteriori = 0
% 0.47/1.13 ordereqreflfact = 0
% 0.47/1.13
% 0.47/1.13 litselect = negord
% 0.47/1.13
% 0.47/1.13 maxweight = 15
% 0.47/1.13 maxdepth = 30000
% 0.47/1.13 maxlength = 115
% 0.47/1.13 maxnrvars = 195
% 0.47/1.13 excuselevel = 1
% 0.47/1.13 increasemaxweight = 1
% 0.47/1.13
% 0.47/1.13 maxselected = 10000000
% 0.47/1.13 maxnrclauses = 10000000
% 0.47/1.13
% 0.47/1.13 showgenerated = 0
% 0.47/1.13 showkept = 0
% 0.47/1.13 showselected = 0
% 0.47/1.13 showdeleted = 0
% 0.47/1.13 showresimp = 1
% 0.47/1.13 showstatus = 2000
% 0.47/1.13
% 0.47/1.13 prologoutput = 0
% 0.47/1.13 nrgoals = 5000000
% 0.47/1.13 totalproof = 1
% 0.47/1.13
% 0.47/1.13 Symbols occurring in the translation:
% 0.47/1.13
% 0.47/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.13 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.47/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.47/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.13 join [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.47/1.13 complement [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.47/1.13 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.47/1.13 composition [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.47/1.13 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.47/1.13 converse [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.47/1.13 top [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.47/1.13 zero [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.47/1.13 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.47/1.13 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.47/1.13 skol3 [48, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 Starting Search:
% 0.47/1.13
% 0.47/1.13 *** allocated 15000 integers for clauses
% 0.47/1.13 *** allocated 22500 integers for clauses
% 0.47/1.13 *** allocated 33750 integers for clauses
% 0.47/1.13 *** allocated 50625 integers for clauses
% 0.47/1.13 *** allocated 75937 integers for clauses
% 0.47/1.13
% 0.47/1.13 Bliksems!, er is een bewijs:
% 0.47/1.13 % SZS status Theorem
% 0.47/1.13 % SZS output start Refutation
% 0.47/1.13
% 0.47/1.13 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.47/1.13 , Z ) }.
% 0.47/1.13 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.47/1.13 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.47/1.13 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.47/1.13 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.47/1.13 ) ==> composition( join( X, Y ), Z ) }.
% 0.47/1.13 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.47/1.13 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.47/1.13 ==> converse( composition( X, Y ) ) }.
% 0.47/1.13 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.47/1.13 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.47/1.13 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.47/1.13 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.47/1.13 (13) {G1,W16,D6,L1,V0,M1} I;d(6) { ! composition( join( meet( skol1,
% 0.47/1.13 converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) ==> composition(
% 0.47/1.13 skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.13 (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.47/1.13 (15) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) = join( join( Y
% 0.47/1.13 , Z ), X ) }.
% 0.47/1.13 (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.47/1.13 join( Z, X ), Y ) }.
% 0.47/1.13 (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.47/1.13 ==> join( Y, top ) }.
% 0.47/1.13 (20) {G2,W13,D5,L1,V2,M1} P(17,17) { join( join( X, top ), complement(
% 0.47/1.13 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z ),
% 0.47/1.13 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.47/1.13 (22) {G2,W10,D5,L1,V2,M1} P(17,0);d(1) { join( join( complement( Y ), X ),
% 0.47/1.13 Y ) ==> join( X, top ) }.
% 0.47/1.13 (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement( complement( X )
% 0.47/1.13 ) ) ==> join( X, top ) }.
% 0.47/1.13 (25) {G3,W9,D5,L1,V1,M1} P(24,0) { join( complement( complement( X ) ), top
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 (26) {G4,W13,D6,L1,V2,M1} P(25,1);d(1) { join( join( Y, complement(
% 0.47/1.13 complement( X ) ) ), top ) ==> join( join( Y, X ), top ) }.
% 0.47/1.13 (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.47/1.13 ( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.47/1.13 ) ) ==> composition( converse( Y ), X ) }.
% 0.47/1.13 (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.47/1.13 (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.47/1.13 (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero, complement( X )
% 0.47/1.13 ) ) ==> meet( top, X ) }.
% 0.47/1.13 (57) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( complement( X ), zero
% 0.47/1.13 ) ) ==> meet( X, top ) }.
% 0.47/1.13 (62) {G2,W5,D3,L1,V0,M1} P(55,14) { join( zero, top ) ==> top }.
% 0.47/1.13 (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top ) ==> join( X
% 0.47/1.13 , top ) }.
% 0.47/1.13 (75) {G4,W9,D4,L1,V1,M1} P(0,65) { join( join( zero, X ), top ) ==> join( X
% 0.47/1.13 , top ) }.
% 0.47/1.13 (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero, zero ) ) ==>
% 0.47/1.13 meet( top, top ) }.
% 0.47/1.13 (107) {G4,W9,D4,L1,V0,M1} P(92,11) { join( join( zero, zero ), meet( top,
% 0.47/1.13 top ) ) ==> top }.
% 0.47/1.13 (127) {G5,W9,D5,L1,V0,M1} P(15,107) { join( join( zero, meet( top, top ) )
% 0.47/1.13 , zero ) ==> top }.
% 0.47/1.13 (143) {G6,W9,D4,L1,V0,M1} P(127,65);d(75) { join( meet( top, top ), top )
% 0.47/1.13 ==> join( top, top ) }.
% 0.47/1.13 (277) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse( one ), X )
% 0.47/1.13 ==> X }.
% 0.47/1.13 (287) {G3,W4,D3,L1,V0,M1} P(277,5) { converse( one ) ==> one }.
% 0.47/1.13 (288) {G4,W5,D3,L1,V1,M1} P(287,277) { composition( one, X ) ==> X }.
% 0.47/1.13 (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement( X ),
% 0.47/1.13 complement( X ) ) ==> complement( X ) }.
% 0.47/1.13 (295) {G6,W6,D4,L1,V1,M1} P(292,22);d(14) { join( complement( X ), top )
% 0.47/1.13 ==> top }.
% 0.47/1.13 (296) {G6,W10,D5,L1,V2,M1} P(292,21);d(17) { join( join( Y, complement( X )
% 0.47/1.13 ), top ) ==> join( Y, top ) }.
% 0.47/1.13 (301) {G6,W5,D3,L1,V0,M1} P(55,292) { join( zero, zero ) ==> zero }.
% 0.47/1.13 (302) {G6,W7,D4,L1,V1,M1} P(292,3) { complement( complement( X ) ) = meet(
% 0.47/1.13 X, X ) }.
% 0.47/1.13 (304) {G7,W9,D4,L1,V2,M1} S(26);d(296) { join( join( Y, X ), top ) ==> join
% 0.47/1.13 ( Y, top ) }.
% 0.47/1.13 (310) {G7,W6,D3,L1,V0,M1} P(301,92) { meet( top, top ) ==> complement( zero
% 0.47/1.13 ) }.
% 0.47/1.13 (311) {G8,W5,D3,L1,V0,M1} P(310,143);d(295) { join( top, top ) ==> top }.
% 0.47/1.13 (312) {G9,W5,D3,L1,V1,M1} P(311,20);d(24);d(304);d(311) { join( X, top )
% 0.47/1.13 ==> top }.
% 0.47/1.13 (315) {G10,W7,D4,L1,V1,M1} P(312,27);d(55) { join( meet( X, top ), zero )
% 0.47/1.13 ==> X }.
% 0.47/1.13 (333) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X ), zero ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 (348) {G11,W7,D4,L1,V1,M1} P(53,315) { join( meet( top, X ), zero ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 (351) {G11,W7,D4,L1,V1,M1} P(315,0) { join( zero, meet( X, top ) ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 (363) {G12,W7,D4,L1,V1,M1} P(348,0) { join( zero, meet( top, X ) ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 (385) {G7,W7,D4,L1,V1,M1} P(302,57);d(333) { meet( complement( X ), top )
% 0.47/1.13 ==> complement( X ) }.
% 0.47/1.13 (398) {G12,W7,D4,L1,V1,M1} P(385,351) { join( zero, complement( X ) ) ==>
% 0.47/1.13 complement( X ) }.
% 0.47/1.13 (409) {G13,W7,D4,L1,V1,M1} P(398,56) { meet( top, X ) ==> complement(
% 0.47/1.13 complement( X ) ) }.
% 0.47/1.13 (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) { complement( complement
% 0.47/1.13 ( X ) ) ==> X }.
% 0.47/1.13 (419) {G15,W5,D3,L1,V1,M1} P(410,292) { join( X, X ) ==> X }.
% 0.47/1.13 (422) {G15,W10,D5,L1,V2,M1} P(410,3) { complement( join( complement( Y ), X
% 0.47/1.13 ) ) ==> meet( Y, complement( X ) ) }.
% 0.47/1.13 (425) {G16,W9,D4,L1,V2,M1} P(419,16);d(1);d(419) { join( join( X, Y ), Y )
% 0.47/1.13 ==> join( X, Y ) }.
% 0.47/1.13 (508) {G17,W8,D5,L1,V2,M1} P(27,425);d(422) { join( X, meet( X, complement
% 0.47/1.13 ( Y ) ) ) ==> X }.
% 0.47/1.13 (517) {G18,W7,D4,L1,V2,M1} P(410,508) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.47/1.13 (551) {G19,W7,D4,L1,V2,M1} P(517,0) { join( meet( X, Y ), X ) ==> X }.
% 0.47/1.13 (581) {G20,W0,D0,L0,V0,M0} P(551,13);q { }.
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 % SZS output end Refutation
% 0.47/1.13 found a proof!
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 Unprocessed initial clauses:
% 0.47/1.13
% 0.47/1.13 (583) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 (584) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.47/1.13 , Z ) }.
% 0.47/1.13 (585) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X ),
% 0.47/1.13 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.47/1.13 (586) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement(
% 0.47/1.13 X ), complement( Y ) ) ) }.
% 0.47/1.13 (587) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.47/1.13 composition( composition( X, Y ), Z ) }.
% 0.47/1.13 (588) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.47/1.13 (589) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.47/1.13 composition( X, Z ), composition( Y, Z ) ) }.
% 0.47/1.13 (590) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.47/1.13 (591) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.47/1.13 ), converse( Y ) ) }.
% 0.47/1.13 (592) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) = composition
% 0.47/1.13 ( converse( Y ), converse( X ) ) }.
% 0.47/1.13 (593) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.47/1.13 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.47/1.13 (594) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.47/1.13 (595) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.47/1.13 (596) {G0,W20,D6,L1,V0,M1} { ! join( composition( meet( skol1, converse(
% 0.47/1.13 skol2 ) ), meet( skol2, skol3 ) ), composition( skol1, meet( skol2, skol3
% 0.47/1.13 ) ) ) = composition( skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 Total Proof:
% 0.47/1.13
% 0.47/1.13 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent0: (583) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.47/1.13 ( join( X, Y ), Z ) }.
% 0.47/1.13 parent0: (584) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join
% 0.47/1.13 ( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (599) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement( X
% 0.47/1.13 ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (585) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.47/1.13 Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.47/1.13 Y ) ) ) ==> X }.
% 0.47/1.13 parent0: (599) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.47/1.13 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (602) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.47/1.13 complement( Y ) ) ) = meet( X, Y ) }.
% 0.47/1.13 parent0[0]: (586) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 parent0: (602) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.47/1.13 complement( Y ) ) ) = meet( X, Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.47/1.13 parent0: (588) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (613) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.47/1.13 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.47/1.13 parent0[0]: (589) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.47/1.13 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.47/1.13 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.47/1.13 parent0: (613) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.47/1.13 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 parent0: (590) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (629) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.47/1.13 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.47/1.13 parent0[0]: (592) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.47/1.13 composition( converse( Y ), converse( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.47/1.13 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.47/1.13 parent0: (629) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.47/1.13 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.47/1.13 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.47/1.13 Y ) }.
% 0.47/1.13 parent0: (593) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.47/1.13 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (650) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.47/1.13 parent0[0]: (594) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.47/1.13 top }.
% 0.47/1.13 parent0: (650) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (662) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.47/1.13 parent0[0]: (595) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent0: (662) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (692) {G1,W16,D6,L1,V0,M1} { ! composition( join( meet( skol1,
% 0.47/1.13 converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) = composition( skol1
% 0.47/1.13 , meet( skol2, skol3 ) ) }.
% 0.47/1.13 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.47/1.13 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 2]: (596) {G0,W20,D6,L1,V0,M1} { ! join( composition( meet(
% 0.47/1.13 skol1, converse( skol2 ) ), meet( skol2, skol3 ) ), composition( skol1,
% 0.47/1.13 meet( skol2, skol3 ) ) ) = composition( skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := meet( skol1, converse( skol2 ) )
% 0.47/1.13 Y := skol1
% 0.47/1.13 Z := meet( skol2, skol3 )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (13) {G1,W16,D6,L1,V0,M1} I;d(6) { ! composition( join( meet(
% 0.47/1.13 skol1, converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) ==>
% 0.47/1.13 composition( skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.13 parent0: (692) {G1,W16,D6,L1,V0,M1} { ! composition( join( meet( skol1,
% 0.47/1.13 converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) = composition( skol1
% 0.47/1.13 , meet( skol2, skol3 ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (694) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) ) }.
% 0.47/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (695) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 2]: (694) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.47/1.13 ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := complement( X )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (698) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top }.
% 0.47/1.13 parent0[0]: (695) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.47/1.13 ==> top }.
% 0.47/1.13 parent0: (698) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (699) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.47/1.13 join( Y, Z ) ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (702) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.47/1.13 join( Y, Z ), X ) }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 6]: (699) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.47/1.13 join( X, join( Y, Z ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := join( Y, Z )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (15) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.47/1.13 join( join( Y, Z ), X ) }.
% 0.47/1.13 parent0: (702) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.47/1.13 join( Y, Z ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (716) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.47/1.13 join( Y, Z ) ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (721) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.47/1.13 , join( Z, Y ) ) }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 8]: (716) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.47/1.13 join( X, join( Y, Z ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := Z
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (734) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.47/1.13 join( X, Z ), Y ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 6]: (721) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.47/1.13 join( X, join( Z, Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Z
% 0.47/1.13 Z := Y
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.47/1.13 ) = join( join( Z, X ), Y ) }.
% 0.47/1.13 parent0: (734) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.47/1.13 join( X, Z ), Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Z
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (736) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.47/1.13 join( Y, Z ) ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (739) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 parent1[0; 9]: (736) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.47/1.13 join( X, join( Y, Z ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := complement( Y )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 parent0: (739) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (743) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.47/1.13 , complement( Y ) ) }.
% 0.47/1.13 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (746) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==> join(
% 0.47/1.13 join( X, top ), complement( complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 parent1[0; 7]: (743) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.47/1.13 ( X, Y ), complement( Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := join( X, Y )
% 0.47/1.13 Y := complement( Y )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (747) {G2,W13,D5,L1,V2,M1} { join( join( X, top ), complement(
% 0.47/1.13 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 parent0[0]: (746) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==>
% 0.47/1.13 join( join( X, top ), complement( complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (20) {G2,W13,D5,L1,V2,M1} P(17,17) { join( join( X, top ),
% 0.47/1.13 complement( complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 parent0: (747) {G2,W13,D5,L1,V2,M1} { join( join( X, top ), complement(
% 0.47/1.13 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (749) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.47/1.13 , complement( Y ) ) }.
% 0.47/1.13 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (756) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 0.47/1.13 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 5]: (749) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.47/1.13 ( X, Y ), complement( Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := join( Y, Z )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (757) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 0.47/1.13 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (756) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join(
% 0.47/1.13 join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ),
% 0.47/1.13 Z ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.47/1.13 parent0: (757) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 0.47/1.13 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (758) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.47/1.13 , complement( Y ) ) }.
% 0.47/1.13 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (761) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( complement
% 0.47/1.13 ( Y ), join( X, Y ) ) }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 4]: (758) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.47/1.13 ( X, Y ), complement( Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := join( X, Y )
% 0.47/1.13 Y := complement( Y )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (774) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.47/1.13 complement( Y ), X ), Y ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 4]: (761) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 0.47/1.13 complement( Y ), join( X, Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( Y )
% 0.47/1.13 Y := X
% 0.47/1.13 Z := Y
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (775) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y )
% 0.47/1.13 ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (774) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.47/1.13 complement( Y ), X ), Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (22) {G2,W10,D5,L1,V2,M1} P(17,0);d(1) { join( join(
% 0.47/1.13 complement( Y ), X ), Y ) ==> join( X, top ) }.
% 0.47/1.13 parent0: (775) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (777) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.47/1.13 , complement( Y ) ) }.
% 0.47/1.13 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (778) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.47/1.13 complement( complement( X ) ) ) }.
% 0.47/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 parent1[0; 5]: (777) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.47/1.13 ( X, Y ), complement( Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := complement( X )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (779) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X )
% 0.47/1.13 ) ) ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (778) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.47/1.13 complement( complement( X ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement(
% 0.47/1.13 complement( X ) ) ) ==> join( X, top ) }.
% 0.47/1.13 parent0: (779) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.47/1.13 ) ) ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (780) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.47/1.13 complement( complement( X ) ) ) }.
% 0.47/1.13 parent0[0]: (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement(
% 0.47/1.13 complement( X ) ) ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (782) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement(
% 0.47/1.13 complement( X ) ), top ) }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 4]: (780) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.47/1.13 complement( complement( X ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := top
% 0.47/1.13 Y := complement( complement( X ) )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (788) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.47/1.13 top ) ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (782) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.47/1.13 complement( complement( X ) ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (25) {G3,W9,D5,L1,V1,M1} P(24,0) { join( complement(
% 0.47/1.13 complement( X ) ), top ) ==> join( X, top ) }.
% 0.47/1.13 parent0: (788) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.47/1.13 top ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (790) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.47/1.13 join( Y, Z ) ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (793) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 0.47/1.13 complement( Y ) ) ), top ) ==> join( X, join( Y, top ) ) }.
% 0.47/1.13 parent0[0]: (25) {G3,W9,D5,L1,V1,M1} P(24,0) { join( complement( complement
% 0.47/1.13 ( X ) ), top ) ==> join( X, top ) }.
% 0.47/1.13 parent1[0; 10]: (790) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.47/1.13 join( X, join( Y, Z ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := complement( complement( Y ) )
% 0.47/1.13 Z := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (794) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 0.47/1.13 complement( Y ) ) ), top ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 8]: (793) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 0.47/1.13 complement( Y ) ) ), top ) ==> join( X, join( Y, top ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := top
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (26) {G4,W13,D6,L1,V2,M1} P(25,1);d(1) { join( join( Y,
% 0.47/1.13 complement( complement( X ) ) ), top ) ==> join( join( Y, X ), top ) }.
% 0.47/1.13 parent0: (794) {G1,W13,D6,L1,V2,M1} { join( join( X, complement(
% 0.47/1.13 complement( Y ) ) ), top ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (798) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.47/1.13 ( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.47/1.13 Y ) ) ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.47/1.13 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 parent0: (798) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.47/1.13 ( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (801) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.47/1.13 composition( converse( X ), converse( Y ) ) }.
% 0.47/1.13 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.47/1.13 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (803) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.47/1.13 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.47/1.13 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.47/1.13 parent1[0; 9]: (801) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.47/1.13 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := converse( X )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.47/1.13 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.47/1.13 parent0: (803) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.47/1.13 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (806) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (808) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.13 complement( Y ), complement( X ) ) ) }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 5]: (806) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( X )
% 0.47/1.13 Y := complement( Y )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (810) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 parent1[0; 4]: (808) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.13 join( complement( Y ), complement( X ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.47/1.13 , Y ) }.
% 0.47/1.13 parent0: (810) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (812) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (815) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.47/1.13 complement( top ) }.
% 0.47/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 parent1[0; 6]: (812) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( X )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := complement( X )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (816) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.47/1.13 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 1]: (815) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.47/1.13 complement( top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (817) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.47/1.13 parent0[0]: (816) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent0: (817) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (819) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (820) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.47/1.13 zero, complement( X ) ) ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 6]: (819) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := top
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (822) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.47/1.13 ) ) ) ==> meet( top, X ) }.
% 0.47/1.13 parent0[0]: (820) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.47/1.13 join( zero, complement( X ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 0.47/1.13 complement( X ) ) ) ==> meet( top, X ) }.
% 0.47/1.13 parent0: (822) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.47/1.13 ) ) ) ==> meet( top, X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (825) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (827) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.47/1.13 complement( X ), zero ) ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 8]: (825) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (829) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.47/1.13 zero ) ) ==> meet( X, top ) }.
% 0.47/1.13 parent0[0]: (827) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.47/1.13 join( complement( X ), zero ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (57) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join(
% 0.47/1.13 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.47/1.13 parent0: (829) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.47/1.13 zero ) ) ==> meet( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (831) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X ) }.
% 0.47/1.13 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.47/1.13 ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (832) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 3]: (831) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ),
% 0.47/1.13 X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (833) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.47/1.13 parent0[0]: (832) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (62) {G2,W5,D3,L1,V0,M1} P(55,14) { join( zero, top ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 parent0: (833) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (835) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.47/1.13 join( Y, Z ) ) }.
% 0.47/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (837) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==> join
% 0.47/1.13 ( X, top ) }.
% 0.47/1.13 parent0[0]: (62) {G2,W5,D3,L1,V0,M1} P(55,14) { join( zero, top ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 parent1[0; 8]: (835) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.47/1.13 join( X, join( Y, Z ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := zero
% 0.47/1.13 Z := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 parent0: (837) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==> join
% 0.47/1.13 ( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (840) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X, zero
% 0.47/1.13 ), top ) }.
% 0.47/1.13 parent0[0]: (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top )
% 0.47/1.13 ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (843) {G1,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( zero,
% 0.47/1.13 X ), top ) }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 5]: (840) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join(
% 0.47/1.13 X, zero ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := zero
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (856) {G1,W9,D4,L1,V1,M1} { join( join( zero, X ), top ) ==> join
% 0.47/1.13 ( X, top ) }.
% 0.47/1.13 parent0[0]: (843) {G1,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join(
% 0.47/1.13 zero, X ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (75) {G4,W9,D4,L1,V1,M1} P(0,65) { join( join( zero, X ), top
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 parent0: (856) {G1,W9,D4,L1,V1,M1} { join( join( zero, X ), top ) ==> join
% 0.47/1.13 ( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (858) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.47/1.13 zero, complement( X ) ) ) }.
% 0.47/1.13 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 0.47/1.13 complement( X ) ) ) ==> meet( top, X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (859) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement( join
% 0.47/1.13 ( zero, zero ) ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 7]: (858) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.47/1.13 join( zero, complement( X ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (860) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 0.47/1.13 meet( top, top ) }.
% 0.47/1.13 parent0[0]: (859) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement(
% 0.47/1.13 join( zero, zero ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero,
% 0.47/1.13 zero ) ) ==> meet( top, top ) }.
% 0.47/1.13 parent0: (860) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 0.47/1.13 meet( top, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (862) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) ) }.
% 0.47/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (863) {G1,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero ),
% 0.47/1.13 meet( top, top ) ) }.
% 0.47/1.13 parent0[0]: (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero,
% 0.47/1.13 zero ) ) ==> meet( top, top ) }.
% 0.47/1.13 parent1[0; 6]: (862) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.47/1.13 ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := join( zero, zero )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (864) {G1,W9,D4,L1,V0,M1} { join( join( zero, zero ), meet( top,
% 0.47/1.13 top ) ) ==> top }.
% 0.47/1.13 parent0[0]: (863) {G1,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero ),
% 0.47/1.13 meet( top, top ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (107) {G4,W9,D4,L1,V0,M1} P(92,11) { join( join( zero, zero )
% 0.47/1.13 , meet( top, top ) ) ==> top }.
% 0.47/1.13 parent0: (864) {G1,W9,D4,L1,V0,M1} { join( join( zero, zero ), meet( top,
% 0.47/1.13 top ) ) ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (865) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join( join
% 0.47/1.13 ( X, Y ), Z ) }.
% 0.47/1.13 parent0[0]: (15) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.47/1.13 join( join( Y, Z ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (866) {G4,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero ), meet
% 0.47/1.13 ( top, top ) ) }.
% 0.47/1.13 parent0[0]: (107) {G4,W9,D4,L1,V0,M1} P(92,11) { join( join( zero, zero ),
% 0.47/1.13 meet( top, top ) ) ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (867) {G2,W9,D5,L1,V0,M1} { top ==> join( join( meet( top, top )
% 0.47/1.13 , zero ), zero ) }.
% 0.47/1.13 parent0[0]: (865) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 2]: (866) {G4,W9,D4,L1,V0,M1} { top ==> join( join( zero, zero
% 0.47/1.13 ), meet( top, top ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := meet( top, top )
% 0.47/1.13 Y := zero
% 0.47/1.13 Z := zero
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (868) {G2,W9,D5,L1,V0,M1} { top ==> join( join( zero, meet( top,
% 0.47/1.13 top ) ), zero ) }.
% 0.47/1.13 parent0[0]: (865) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join(
% 0.47/1.13 join( X, Y ), Z ) }.
% 0.47/1.13 parent1[0; 2]: (867) {G2,W9,D5,L1,V0,M1} { top ==> join( join( meet( top,
% 0.47/1.13 top ), zero ), zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := zero
% 0.47/1.13 Y := meet( top, top )
% 0.47/1.13 Z := zero
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (871) {G2,W9,D5,L1,V0,M1} { join( join( zero, meet( top, top ) ),
% 0.47/1.13 zero ) ==> top }.
% 0.47/1.13 parent0[0]: (868) {G2,W9,D5,L1,V0,M1} { top ==> join( join( zero, meet(
% 0.47/1.13 top, top ) ), zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (127) {G5,W9,D5,L1,V0,M1} P(15,107) { join( join( zero, meet(
% 0.47/1.13 top, top ) ), zero ) ==> top }.
% 0.47/1.13 parent0: (871) {G2,W9,D5,L1,V0,M1} { join( join( zero, meet( top, top ) )
% 0.47/1.13 , zero ) ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (874) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X, zero
% 0.47/1.13 ), top ) }.
% 0.47/1.13 parent0[0]: (65) {G3,W9,D4,L1,V1,M1} P(62,1) { join( join( X, zero ), top )
% 0.47/1.13 ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (876) {G4,W11,D5,L1,V0,M1} { join( join( zero, meet( top, top ) )
% 0.47/1.13 , top ) ==> join( top, top ) }.
% 0.47/1.13 parent0[0]: (127) {G5,W9,D5,L1,V0,M1} P(15,107) { join( join( zero, meet(
% 0.47/1.13 top, top ) ), zero ) ==> top }.
% 0.47/1.13 parent1[0; 9]: (874) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join(
% 0.47/1.13 X, zero ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := join( zero, meet( top, top ) )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (877) {G5,W9,D4,L1,V0,M1} { join( meet( top, top ), top ) ==>
% 0.47/1.13 join( top, top ) }.
% 0.47/1.13 parent0[0]: (75) {G4,W9,D4,L1,V1,M1} P(0,65) { join( join( zero, X ), top )
% 0.47/1.13 ==> join( X, top ) }.
% 0.47/1.13 parent1[0; 1]: (876) {G4,W11,D5,L1,V0,M1} { join( join( zero, meet( top,
% 0.47/1.13 top ) ), top ) ==> join( top, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := meet( top, top )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (143) {G6,W9,D4,L1,V0,M1} P(127,65);d(75) { join( meet( top,
% 0.47/1.13 top ), top ) ==> join( top, top ) }.
% 0.47/1.13 parent0: (877) {G5,W9,D4,L1,V0,M1} { join( meet( top, top ), top ) ==>
% 0.47/1.13 join( top, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (880) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.47/1.13 converse( composition( converse( X ), Y ) ) }.
% 0.47/1.13 parent0[0]: (34) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.47/1.13 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (883) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.47/1.13 converse( converse( X ) ) }.
% 0.47/1.13 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.47/1.13 parent1[0; 6]: (880) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.47/1.13 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := converse( X )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := one
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (884) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.47/1.13 X }.
% 0.47/1.13 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.47/1.13 parent1[0; 5]: (883) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X
% 0.47/1.13 ) ==> converse( converse( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (277) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.47/1.13 ( one ), X ) ==> X }.
% 0.47/1.13 parent0: (884) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.47/1.13 X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (886) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.47/1.13 ) }.
% 0.47/1.13 parent0[0]: (277) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.47/1.13 ( one ), X ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (888) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.47/1.13 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.47/1.13 parent1[0; 2]: (886) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.47/1.13 one ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := converse( one )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := one
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (889) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.47/1.13 parent0[0]: (888) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (287) {G3,W4,D3,L1,V0,M1} P(277,5) { converse( one ) ==> one
% 0.47/1.13 }.
% 0.47/1.13 parent0: (889) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (891) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.47/1.13 ) }.
% 0.47/1.13 parent0[0]: (277) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.47/1.13 ( one ), X ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (892) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.47/1.13 parent0[0]: (287) {G3,W4,D3,L1,V0,M1} P(277,5) { converse( one ) ==> one
% 0.47/1.13 }.
% 0.47/1.13 parent1[0; 3]: (891) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.47/1.13 one ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (893) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.47/1.13 parent0[0]: (892) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (288) {G4,W5,D3,L1,V1,M1} P(287,277) { composition( one, X )
% 0.47/1.13 ==> X }.
% 0.47/1.13 parent0: (893) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (895) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join( composition
% 0.47/1.13 ( converse( X ), complement( composition( X, Y ) ) ), complement( Y ) )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.47/1.13 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.47/1.13 Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (897) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.47/1.13 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.47/1.13 parent0[0]: (288) {G4,W5,D3,L1,V1,M1} P(287,277) { composition( one, X )
% 0.47/1.13 ==> X }.
% 0.47/1.13 parent1[0; 8]: (895) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.47/1.13 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.47/1.13 complement( Y ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := one
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (898) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.47/1.13 ( X ), complement( X ) ) }.
% 0.47/1.13 parent0[0]: (277) {G2,W6,D4,L1,V1,M1} P(5,34);d(7) { composition( converse
% 0.47/1.13 ( one ), X ) ==> X }.
% 0.47/1.13 parent1[0; 4]: (897) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.47/1.13 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( X )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (899) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X )
% 0.47/1.13 ) ==> complement( X ) }.
% 0.47/1.13 parent0[0]: (898) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.47/1.13 complement( X ), complement( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement
% 0.47/1.13 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.47/1.13 parent0: (899) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.47/1.13 ) ) ==> complement( X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (901) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join(
% 0.47/1.13 complement( X ), Y ), X ) }.
% 0.47/1.13 parent0[0]: (22) {G2,W10,D5,L1,V2,M1} P(17,0);d(1) { join( join( complement
% 0.47/1.13 ( Y ), X ), Y ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (903) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top ) ==> join
% 0.47/1.13 ( complement( X ), X ) }.
% 0.47/1.13 parent0[0]: (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement(
% 0.47/1.13 X ), complement( X ) ) ==> complement( X ) }.
% 0.47/1.13 parent1[0; 6]: (901) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.47/1.13 ( complement( X ), Y ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := complement( X )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (904) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.47/1.13 ==> top }.
% 0.47/1.13 parent1[0; 5]: (903) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top )
% 0.47/1.13 ==> join( complement( X ), X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (295) {G6,W6,D4,L1,V1,M1} P(292,22);d(14) { join( complement(
% 0.47/1.13 X ), top ) ==> top }.
% 0.47/1.13 parent0: (904) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (907) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join(
% 0.47/1.13 X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.47/1.13 parent0[0]: (21) {G2,W14,D5,L1,V3,M1} P(1,17) { join( join( join( X, Y ), Z
% 0.47/1.13 ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 Z := Z
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (910) {G3,W15,D6,L1,V2,M1} { join( X, top ) ==> join( join( join
% 0.47/1.13 ( X, complement( Y ) ), complement( Y ) ), complement( complement( Y ) )
% 0.47/1.13 ) }.
% 0.47/1.13 parent0[0]: (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement(
% 0.47/1.13 X ), complement( X ) ) ==> complement( X ) }.
% 0.47/1.13 parent1[0; 13]: (907) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join
% 0.47/1.13 ( join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := complement( Y )
% 0.47/1.13 Z := complement( Y )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (911) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 0.47/1.13 complement( Y ) ), top ) }.
% 0.47/1.13 parent0[0]: (17) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.47/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.47/1.13 parent1[0; 4]: (910) {G3,W15,D6,L1,V2,M1} { join( X, top ) ==> join( join
% 0.47/1.13 ( join( X, complement( Y ) ), complement( Y ) ), complement( complement(
% 0.47/1.13 Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( Y )
% 0.47/1.13 Y := join( X, complement( Y ) )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (912) {G2,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), top
% 0.47/1.13 ) ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (911) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X
% 0.47/1.13 , complement( Y ) ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (296) {G6,W10,D5,L1,V2,M1} P(292,21);d(17) { join( join( Y,
% 0.47/1.13 complement( X ) ), top ) ==> join( Y, top ) }.
% 0.47/1.13 parent0: (912) {G2,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ),
% 0.47/1.13 top ) ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 *** allocated 15000 integers for termspace/termends
% 0.47/1.13 eqswap: (914) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement(
% 0.47/1.13 X ), complement( X ) ) }.
% 0.47/1.13 parent0[0]: (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement(
% 0.47/1.13 X ), complement( X ) ) ==> complement( X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (917) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.47/1.13 complement( top ), zero ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 6]: (914) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.47/1.13 complement( X ), complement( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (919) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join( zero,
% 0.47/1.13 zero ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 4]: (917) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.47/1.13 complement( top ), zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (920) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 1]: (919) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join(
% 0.47/1.13 zero, zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (926) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.47/1.13 parent0[0]: (920) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (301) {G6,W5,D3,L1,V0,M1} P(55,292) { join( zero, zero ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent0: (926) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (930) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.13 complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (945) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.47/1.13 complement( X ) ) }.
% 0.47/1.13 parent0[0]: (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement(
% 0.47/1.13 X ), complement( X ) ) ==> complement( X ) }.
% 0.47/1.13 parent1[0; 5]: (930) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (946) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==> meet
% 0.47/1.13 ( X, X ) }.
% 0.47/1.13 parent0[0]: (945) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.47/1.13 complement( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (302) {G6,W7,D4,L1,V1,M1} P(292,3) { complement( complement( X
% 0.47/1.13 ) ) = meet( X, X ) }.
% 0.47/1.13 parent0: (946) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.47/1.13 meet( X, X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (949) {G5,W9,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.47/1.13 , top ) }.
% 0.47/1.13 parent0[0]: (296) {G6,W10,D5,L1,V2,M1} P(292,21);d(17) { join( join( Y,
% 0.47/1.13 complement( X ) ), top ) ==> join( Y, top ) }.
% 0.47/1.13 parent1[0; 1]: (26) {G4,W13,D6,L1,V2,M1} P(25,1);d(1) { join( join( Y,
% 0.47/1.13 complement( complement( X ) ) ), top ) ==> join( join( Y, X ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( Y )
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (950) {G5,W9,D4,L1,V2,M1} { join( join( X, Y ), top ) ==> join( X
% 0.47/1.13 , top ) }.
% 0.47/1.13 parent0[0]: (949) {G5,W9,D4,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 0.47/1.13 Y ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (304) {G7,W9,D4,L1,V2,M1} S(26);d(296) { join( join( Y, X ),
% 0.47/1.13 top ) ==> join( Y, top ) }.
% 0.47/1.13 parent0: (950) {G5,W9,D4,L1,V2,M1} { join( join( X, Y ), top ) ==> join( X
% 0.47/1.13 , top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := Y
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (952) {G3,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement( join
% 0.47/1.13 ( zero, zero ) ) }.
% 0.47/1.13 parent0[0]: (92) {G3,W8,D4,L1,V0,M1} P(55,56) { complement( join( zero,
% 0.47/1.13 zero ) ) ==> meet( top, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (953) {G4,W6,D3,L1,V0,M1} { meet( top, top ) ==> complement( zero
% 0.47/1.13 ) }.
% 0.47/1.13 parent0[0]: (301) {G6,W5,D3,L1,V0,M1} P(55,292) { join( zero, zero ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 5]: (952) {G3,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement
% 0.47/1.13 ( join( zero, zero ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (310) {G7,W6,D3,L1,V0,M1} P(301,92) { meet( top, top ) ==>
% 0.47/1.13 complement( zero ) }.
% 0.47/1.13 parent0: (953) {G4,W6,D3,L1,V0,M1} { meet( top, top ) ==> complement( zero
% 0.47/1.13 ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (956) {G6,W9,D4,L1,V0,M1} { join( top, top ) ==> join( meet( top,
% 0.47/1.13 top ), top ) }.
% 0.47/1.13 parent0[0]: (143) {G6,W9,D4,L1,V0,M1} P(127,65);d(75) { join( meet( top,
% 0.47/1.13 top ), top ) ==> join( top, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (958) {G7,W8,D4,L1,V0,M1} { join( top, top ) ==> join( complement
% 0.47/1.13 ( zero ), top ) }.
% 0.47/1.13 parent0[0]: (310) {G7,W6,D3,L1,V0,M1} P(301,92) { meet( top, top ) ==>
% 0.47/1.13 complement( zero ) }.
% 0.47/1.13 parent1[0; 5]: (956) {G6,W9,D4,L1,V0,M1} { join( top, top ) ==> join( meet
% 0.47/1.13 ( top, top ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (959) {G7,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.47/1.13 parent0[0]: (295) {G6,W6,D4,L1,V1,M1} P(292,22);d(14) { join( complement( X
% 0.47/1.13 ), top ) ==> top }.
% 0.47/1.13 parent1[0; 4]: (958) {G7,W8,D4,L1,V0,M1} { join( top, top ) ==> join(
% 0.47/1.13 complement( zero ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := zero
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (311) {G8,W5,D3,L1,V0,M1} P(310,143);d(295) { join( top, top )
% 0.47/1.13 ==> top }.
% 0.47/1.13 parent0: (959) {G7,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (962) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==> join(
% 0.47/1.13 join( X, top ), complement( complement( Y ) ) ) }.
% 0.47/1.13 parent0[0]: (20) {G2,W13,D5,L1,V2,M1} P(17,17) { join( join( X, top ),
% 0.47/1.13 complement( complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (968) {G3,W11,D5,L1,V1,M1} { join( join( top, X ), top ) ==> join
% 0.47/1.13 ( top, complement( complement( X ) ) ) }.
% 0.47/1.13 parent0[0]: (311) {G8,W5,D3,L1,V0,M1} P(310,143);d(295) { join( top, top )
% 0.47/1.13 ==> top }.
% 0.47/1.13 parent1[0; 7]: (962) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==>
% 0.47/1.13 join( join( X, top ), complement( complement( Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := top
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (972) {G3,W9,D4,L1,V1,M1} { join( join( top, X ), top ) ==> join
% 0.47/1.13 ( X, top ) }.
% 0.47/1.13 parent0[0]: (24) {G2,W9,D5,L1,V1,M1} P(11,17) { join( top, complement(
% 0.47/1.13 complement( X ) ) ) ==> join( X, top ) }.
% 0.47/1.13 parent1[0; 6]: (968) {G3,W11,D5,L1,V1,M1} { join( join( top, X ), top )
% 0.47/1.13 ==> join( top, complement( complement( X ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (973) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (304) {G7,W9,D4,L1,V2,M1} S(26);d(296) { join( join( Y, X ),
% 0.47/1.13 top ) ==> join( Y, top ) }.
% 0.47/1.13 parent1[0; 1]: (972) {G3,W9,D4,L1,V1,M1} { join( join( top, X ), top ) ==>
% 0.47/1.13 join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := top
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (974) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.47/1.13 parent0[0]: (311) {G8,W5,D3,L1,V0,M1} P(310,143);d(295) { join( top, top )
% 0.47/1.13 ==> top }.
% 0.47/1.13 parent1[0; 1]: (973) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.47/1.13 top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (975) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.47/1.13 parent0[0]: (974) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (312) {G9,W5,D3,L1,V1,M1} P(311,20);d(24);d(304);d(311) { join
% 0.47/1.13 ( X, top ) ==> top }.
% 0.47/1.13 parent0: (975) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (977) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.47/1.13 ( join( complement( X ), Y ) ) ) }.
% 0.47/1.13 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.47/1.13 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (979) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.47/1.13 complement( top ) ) }.
% 0.47/1.13 parent0[0]: (312) {G9,W5,D3,L1,V1,M1} P(311,20);d(24);d(304);d(311) { join
% 0.47/1.13 ( X, top ) ==> top }.
% 0.47/1.13 parent1[0; 7]: (977) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.47/1.13 complement( join( complement( X ), Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := complement( X )
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := top
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (980) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 6]: (979) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.47/1.13 complement( top ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (981) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X }.
% 0.47/1.13 parent0[0]: (980) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (315) {G10,W7,D4,L1,V1,M1} P(312,27);d(55) { join( meet( X,
% 0.47/1.13 top ), zero ) ==> X }.
% 0.47/1.13 parent0: (981) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (983) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.47/1.13 ( join( complement( X ), Y ) ) ) }.
% 0.47/1.13 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.47/1.13 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 Y := Y
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (985) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.47/1.13 ( top ) ) }.
% 0.47/1.13 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.47/1.13 ==> top }.
% 0.47/1.13 parent1[0; 7]: (983) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.47/1.13 complement( join( complement( X ), Y ) ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (986) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.47/1.13 parent0[0]: (55) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.47/1.13 zero }.
% 0.47/1.13 parent1[0; 6]: (985) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.47/1.13 complement( top ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (987) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.47/1.13 parent0[0]: (986) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (333) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X )
% 0.47/1.13 , zero ) ==> X }.
% 0.47/1.13 parent0: (987) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (988) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (315) {G10,W7,D4,L1,V1,M1} P(312,27);d(55) { join( meet( X, top
% 0.47/1.13 ), zero ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (989) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (53) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.47/1.13 Y ) }.
% 0.47/1.13 parent1[0; 3]: (988) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.47/1.13 zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := top
% 0.47/1.13 Y := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (992) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X }.
% 0.47/1.13 parent0[0]: (989) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (348) {G11,W7,D4,L1,V1,M1} P(53,315) { join( meet( top, X ),
% 0.47/1.13 zero ) ==> X }.
% 0.47/1.13 parent0: (992) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (993) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (315) {G10,W7,D4,L1,V1,M1} P(312,27);d(55) { join( meet( X, top
% 0.47/1.13 ), zero ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (994) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 2]: (993) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.47/1.13 zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := meet( X, top )
% 0.47/1.13 Y := zero
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (997) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X }.
% 0.47/1.13 parent0[0]: (994) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (351) {G11,W7,D4,L1,V1,M1} P(315,0) { join( zero, meet( X, top
% 0.47/1.13 ) ) ==> X }.
% 0.47/1.13 parent0: (997) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (998) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (348) {G11,W7,D4,L1,V1,M1} P(53,315) { join( meet( top, X ),
% 0.47/1.13 zero ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (999) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.13 parent1[0; 2]: (998) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.47/1.13 zero ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := meet( top, X )
% 0.47/1.13 Y := zero
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (1002) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (999) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (363) {G12,W7,D4,L1,V1,M1} P(348,0) { join( zero, meet( top, X
% 0.47/1.13 ) ) ==> X }.
% 0.47/1.13 parent0: (1002) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.47/1.13 }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (1004) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.47/1.13 complement( X ), zero ) ) }.
% 0.47/1.13 parent0[0]: (57) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( complement
% 0.47/1.13 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (1009) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.47/1.13 complement( join( meet( X, X ), zero ) ) }.
% 0.47/1.13 parent0[0]: (302) {G6,W7,D4,L1,V1,M1} P(292,3) { complement( complement( X
% 0.47/1.13 ) ) = meet( X, X ) }.
% 0.47/1.13 parent1[0; 7]: (1004) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.47/1.13 ( join( complement( X ), zero ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := complement( X )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (1010) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.47/1.13 complement( X ) }.
% 0.47/1.13 parent0[0]: (333) {G2,W7,D4,L1,V1,M1} P(14,27);d(55) { join( meet( X, X ),
% 0.47/1.13 zero ) ==> X }.
% 0.47/1.13 parent1[0; 6]: (1009) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top )
% 0.47/1.13 ==> complement( join( meet( X, X ), zero ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (385) {G7,W7,D4,L1,V1,M1} P(302,57);d(333) { meet( complement
% 0.47/1.13 ( X ), top ) ==> complement( X ) }.
% 0.47/1.13 parent0: (1010) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.47/1.13 complement( X ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 permutation0:
% 0.47/1.13 0 ==> 0
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (1013) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.47/1.13 }.
% 0.47/1.13 parent0[0]: (351) {G11,W7,D4,L1,V1,M1} P(315,0) { join( zero, meet( X, top
% 0.47/1.13 ) ) ==> X }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 paramod: (1014) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.47/1.13 complement( X ) ) }.
% 0.47/1.13 parent0[0]: (385) {G7,W7,D4,L1,V1,M1} P(302,57);d(333) { meet( complement(
% 0.47/1.13 X ), top ) ==> complement( X ) }.
% 0.47/1.13 parent1[0; 5]: (1013) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X,
% 0.47/1.13 top ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13 substitution1:
% 0.47/1.13 X := complement( X )
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 eqswap: (1015) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.47/1.13 complement( X ) }.
% 0.47/1.13 parent0[0]: (1014) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.47/1.13 complement( X ) ) }.
% 0.47/1.13 substitution0:
% 0.47/1.13 X := X
% 0.47/1.13 end
% 0.47/1.13
% 0.47/1.13 subsumption: (398) {G12,W7,D4,L1,V1,M1} P(385,351) { join( zero, complement
% 0.47/1.14 ( X ) ) ==> complement( X ) }.
% 0.47/1.14 parent0: (1015) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.47/1.14 complement( X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1017) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.47/1.14 zero, complement( X ) ) ) }.
% 0.47/1.14 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 0.47/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1024) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.47/1.14 complement( X ) ) }.
% 0.47/1.14 parent0[0]: (398) {G12,W7,D4,L1,V1,M1} P(385,351) { join( zero, complement
% 0.47/1.14 ( X ) ) ==> complement( X ) }.
% 0.47/1.14 parent1[0; 5]: (1017) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.47/1.14 ( join( zero, complement( X ) ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (409) {G13,W7,D4,L1,V1,M1} P(398,56) { meet( top, X ) ==>
% 0.47/1.14 complement( complement( X ) ) }.
% 0.47/1.14 parent0: (1024) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.47/1.14 complement( X ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1027) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.47/1.14 complement( X ) ) }.
% 0.47/1.14 parent0[0]: (398) {G12,W7,D4,L1,V1,M1} P(385,351) { join( zero, complement
% 0.47/1.14 ( X ) ) ==> complement( X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1032) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 0.47/1.14 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.47/1.14 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 0.47/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.47/1.14 parent1[0; 8]: (1027) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.47/1.14 zero, complement( X ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := join( zero, complement( X ) )
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1033) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 0.47/1.14 ( top, X ) ) }.
% 0.47/1.14 parent0[0]: (56) {G2,W9,D5,L1,V1,M1} P(55,3) { complement( join( zero,
% 0.47/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.47/1.14 parent1[0; 1]: (1032) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.47/1.14 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1035) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.47/1.14 parent0[0]: (363) {G12,W7,D4,L1,V1,M1} P(348,0) { join( zero, meet( top, X
% 0.47/1.14 ) ) ==> X }.
% 0.47/1.14 parent1[0; 4]: (1033) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 0.47/1.14 , meet( top, X ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1036) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.47/1.14 }.
% 0.47/1.14 parent0[0]: (409) {G13,W7,D4,L1,V1,M1} P(398,56) { meet( top, X ) ==>
% 0.47/1.14 complement( complement( X ) ) }.
% 0.47/1.14 parent1[0; 1]: (1035) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) {
% 0.47/1.14 complement( complement( X ) ) ==> X }.
% 0.47/1.14 parent0: (1036) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.47/1.14 }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1039) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.47/1.14 ( X ), complement( X ) ) }.
% 0.47/1.14 parent0[0]: (292) {G5,W8,D4,L1,V1,M1} P(288,10);d(277) { join( complement(
% 0.47/1.14 X ), complement( X ) ) ==> complement( X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1042) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.47/1.14 join( complement( complement( X ) ), X ) }.
% 0.47/1.14 parent0[0]: (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) { complement
% 0.47/1.14 ( complement( X ) ) ==> X }.
% 0.47/1.14 parent1[0; 8]: (1039) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.47/1.14 complement( X ), complement( X ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := complement( X )
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1044) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.47/1.14 join( X, X ) }.
% 0.47/1.14 parent0[0]: (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) { complement
% 0.47/1.14 ( complement( X ) ) ==> X }.
% 0.47/1.14 parent1[0; 5]: (1042) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.47/1.14 ==> join( complement( complement( X ) ), X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1045) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.47/1.14 parent0[0]: (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) { complement
% 0.47/1.14 ( complement( X ) ) ==> X }.
% 0.47/1.14 parent1[0; 1]: (1044) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.47/1.14 ==> join( X, X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1051) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.47/1.14 parent0[0]: (1045) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (419) {G15,W5,D3,L1,V1,M1} P(410,292) { join( X, X ) ==> X }.
% 0.47/1.14 parent0: (1051) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1055) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.47/1.14 complement( X ), complement( Y ) ) ) }.
% 0.47/1.14 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.47/1.14 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1059) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.47/1.14 complement( join( complement( X ), Y ) ) }.
% 0.47/1.14 parent0[0]: (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) { complement
% 0.47/1.14 ( complement( X ) ) ==> X }.
% 0.47/1.14 parent1[0; 9]: (1055) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.47/1.14 join( complement( X ), complement( Y ) ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := Y
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := complement( Y )
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1061) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.47/1.14 ) ) ==> meet( X, complement( Y ) ) }.
% 0.47/1.14 parent0[0]: (1059) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.47/1.14 complement( join( complement( X ), Y ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (422) {G15,W10,D5,L1,V2,M1} P(410,3) { complement( join(
% 0.47/1.14 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.47/1.14 parent0: (1061) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.47/1.14 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := Y
% 0.47/1.14 Y := X
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1062) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.47/1.14 parent0[0]: (419) {G15,W5,D3,L1,V1,M1} P(410,292) { join( X, X ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1065) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 0.47/1.14 join( X, Y ) ), Y ) }.
% 0.47/1.14 parent0[0]: (16) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.47/1.14 = join( join( Z, X ), Y ) }.
% 0.47/1.14 parent1[0; 4]: (1062) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := join( X, Y )
% 0.47/1.14 Y := Y
% 0.47/1.14 Z := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := join( X, Y )
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1067) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join(
% 0.47/1.14 X, X ), Y ), Y ) }.
% 0.47/1.14 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.47/1.14 join( X, Y ), Z ) }.
% 0.47/1.14 parent1[0; 5]: (1065) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.47/1.14 X, join( X, Y ) ), Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := X
% 0.47/1.14 Z := Y
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1068) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.47/1.14 , Y ) }.
% 0.47/1.14 parent0[0]: (419) {G15,W5,D3,L1,V1,M1} P(410,292) { join( X, X ) ==> X }.
% 0.47/1.14 parent1[0; 6]: (1067) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.47/1.14 join( X, X ), Y ), Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1069) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.47/1.14 Y ) }.
% 0.47/1.14 parent0[0]: (1068) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.47/1.14 ), Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (425) {G16,W9,D4,L1,V2,M1} P(419,16);d(1);d(419) { join( join
% 0.47/1.14 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.47/1.14 parent0: (1069) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 0.47/1.14 , Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1071) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.47/1.14 , Y ) }.
% 0.47/1.14 parent0[0]: (425) {G16,W9,D4,L1,V2,M1} P(419,16);d(1);d(419) { join( join(
% 0.47/1.14 X, Y ), Y ) ==> join( X, Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1074) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.47/1.14 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.47/1.14 ( X ), Y ) ) ) }.
% 0.47/1.14 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.47/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.14 parent1[0; 11]: (1071) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 0.47/1.14 ( X, Y ), Y ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := meet( X, Y )
% 0.47/1.14 Y := complement( join( complement( X ), Y ) )
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1075) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.47/1.14 complement( X ), Y ) ) ) }.
% 0.47/1.14 parent0[0]: (27) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.47/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.47/1.14 parent1[0; 1]: (1074) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.47/1.14 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.47/1.14 ( complement( X ), Y ) ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1082) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.47/1.14 Y ) ) ) }.
% 0.47/1.14 parent0[0]: (422) {G15,W10,D5,L1,V2,M1} P(410,3) { complement( join(
% 0.47/1.14 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.47/1.14 parent1[0; 4]: (1075) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.47/1.14 join( complement( X ), Y ) ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := Y
% 0.47/1.14 Y := X
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1083) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.47/1.14 ==> X }.
% 0.47/1.14 parent0[0]: (1082) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.47/1.14 complement( Y ) ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (508) {G17,W8,D5,L1,V2,M1} P(27,425);d(422) { join( X, meet( X
% 0.47/1.14 , complement( Y ) ) ) ==> X }.
% 0.47/1.14 parent0: (1083) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.47/1.14 ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1085) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.47/1.14 Y ) ) ) }.
% 0.47/1.14 parent0[0]: (508) {G17,W8,D5,L1,V2,M1} P(27,425);d(422) { join( X, meet( X
% 0.47/1.14 , complement( Y ) ) ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1086) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.47/1.14 parent0[0]: (410) {G14,W5,D4,L1,V1,M1} P(56,398);d(363);d(409) { complement
% 0.47/1.14 ( complement( X ) ) ==> X }.
% 0.47/1.14 parent1[0; 6]: (1085) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.47/1.14 complement( Y ) ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := Y
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := complement( Y )
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1087) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.47/1.14 parent0[0]: (1086) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.47/1.14 }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (517) {G18,W7,D4,L1,V2,M1} P(410,508) { join( Y, meet( Y, X )
% 0.47/1.14 ) ==> Y }.
% 0.47/1.14 parent0: (1087) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := Y
% 0.47/1.14 Y := X
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1088) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.47/1.14 parent0[0]: (517) {G18,W7,D4,L1,V2,M1} P(410,508) { join( Y, meet( Y, X ) )
% 0.47/1.14 ==> Y }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := Y
% 0.47/1.14 Y := X
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1089) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 0.47/1.14 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.47/1.14 parent1[0; 2]: (1088) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.47/1.14 }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := meet( X, Y )
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1092) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 0.47/1.14 parent0[0]: (1089) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (551) {G19,W7,D4,L1,V2,M1} P(517,0) { join( meet( X, Y ), X )
% 0.47/1.14 ==> X }.
% 0.47/1.14 parent0: (1092) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := X
% 0.47/1.14 Y := Y
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 0 ==> 0
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqswap: (1094) {G1,W16,D6,L1,V0,M1} { ! composition( skol1, meet( skol2,
% 0.47/1.14 skol3 ) ) ==> composition( join( meet( skol1, converse( skol2 ) ), skol1
% 0.47/1.14 ), meet( skol2, skol3 ) ) }.
% 0.47/1.14 parent0[0]: (13) {G1,W16,D6,L1,V0,M1} I;d(6) { ! composition( join( meet(
% 0.47/1.14 skol1, converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) ==>
% 0.47/1.14 composition( skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 paramod: (1095) {G2,W11,D4,L1,V0,M1} { ! composition( skol1, meet( skol2,
% 0.47/1.14 skol3 ) ) ==> composition( skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.14 parent0[0]: (551) {G19,W7,D4,L1,V2,M1} P(517,0) { join( meet( X, Y ), X )
% 0.47/1.14 ==> X }.
% 0.47/1.14 parent1[0; 8]: (1094) {G1,W16,D6,L1,V0,M1} { ! composition( skol1, meet(
% 0.47/1.14 skol2, skol3 ) ) ==> composition( join( meet( skol1, converse( skol2 ) )
% 0.47/1.14 , skol1 ), meet( skol2, skol3 ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 X := skol1
% 0.47/1.14 Y := converse( skol2 )
% 0.47/1.14 end
% 0.47/1.14 substitution1:
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 eqrefl: (1096) {G0,W0,D0,L0,V0,M0} { }.
% 0.47/1.14 parent0[0]: (1095) {G2,W11,D4,L1,V0,M1} { ! composition( skol1, meet(
% 0.47/1.14 skol2, skol3 ) ) ==> composition( skol1, meet( skol2, skol3 ) ) }.
% 0.47/1.14 substitution0:
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 subsumption: (581) {G20,W0,D0,L0,V0,M0} P(551,13);q { }.
% 0.47/1.14 parent0: (1096) {G0,W0,D0,L0,V0,M0} { }.
% 0.47/1.14 substitution0:
% 0.47/1.14 end
% 0.47/1.14 permutation0:
% 0.47/1.14 end
% 0.47/1.14
% 0.47/1.14 Proof check complete!
% 0.47/1.14
% 0.47/1.14 Memory use:
% 0.47/1.14
% 0.47/1.14 space for terms: 6860
% 0.47/1.14 space for clauses: 60581
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 clauses generated: 5493
% 0.47/1.14 clauses kept: 582
% 0.47/1.14 clauses selected: 130
% 0.47/1.14 clauses deleted: 33
% 0.47/1.14 clauses inuse deleted: 0
% 0.47/1.14
% 0.47/1.14 subsentry: 3623
% 0.47/1.14 literals s-matched: 1445
% 0.47/1.14 literals matched: 1234
% 0.47/1.14 full subsumption: 0
% 0.47/1.14
% 0.47/1.14 checksum: -2136399908
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 Bliksem ended
%------------------------------------------------------------------------------