TSTP Solution File: REL023+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL023+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 19:00:24 EDT 2022
% Result : Theorem 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL023+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 11:56:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08
% 0.71/1.08 { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.71/1.08 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.71/1.08 , Z ) }.
% 0.71/1.08 { composition( X, one ) = X }.
% 0.71/1.08 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.71/1.08 Y, Z ) ) }.
% 0.71/1.08 { converse( converse( X ) ) = X }.
% 0.71/1.08 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.71/1.08 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.71/1.08 ) ) }.
% 0.71/1.08 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.71/1.08 complement( Y ) ) = complement( Y ) }.
% 0.71/1.08 { top = join( X, complement( X ) ) }.
% 0.71/1.08 { zero = meet( X, complement( X ) ) }.
% 0.71/1.08 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.71/1.08 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 0.71/1.08 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) }.
% 0.71/1.08 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 0.71/1.08 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 0.71/1.08 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.71/1.08 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 0.71/1.08 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 0.71/1.08 { ! join( composition( meet( skol1, converse( skol2 ) ), meet( skol2, skol3
% 0.71/1.08 ) ), composition( skol1, meet( skol2, skol3 ) ) ) = composition( skol1,
% 0.71/1.08 meet( skol2, skol3 ) ) }.
% 0.71/1.08
% 0.71/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.08 This is a pure equality problem
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 0
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 join [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.08 complement [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.08 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.08 composition [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.08 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.08 converse [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.08 top [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.08 zero [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.08 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.71/1.08 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.71/1.08 skol3 [48, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08 *** allocated 15000 integers for clauses
% 0.71/1.08 *** allocated 22500 integers for clauses
% 0.71/1.08 *** allocated 33750 integers for clauses
% 0.71/1.08 *** allocated 50625 integers for clauses
% 0.71/1.08 *** allocated 75937 integers for clauses
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Theorem
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.71/1.08 , Z ) }.
% 0.71/1.08 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.71/1.08 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.71/1.08 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.08 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.71/1.08 ) ==> composition( join( X, Y ), Z ) }.
% 0.71/1.08 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.08 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.71/1.08 converse( join( X, Y ) ) }.
% 0.71/1.08 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.71/1.08 ==> converse( composition( X, Y ) ) }.
% 0.71/1.08 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.71/1.08 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.71/1.08 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.71/1.08 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.71/1.08 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 0.71/1.08 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.71/1.08 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.71/1.08 ) ) ) }.
% 0.71/1.08 (16) {G1,W16,D6,L1,V0,M1} I;d(6) { ! composition( join( meet( skol1,
% 0.71/1.08 converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) ==> composition(
% 0.71/1.08 skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.08 (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.71/1.08 (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.71/1.08 join( Z, X ), Y ) }.
% 0.71/1.08 (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.71/1.08 ==> join( Y, top ) }.
% 0.71/1.08 (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ), complement( Y ) )
% 0.71/1.08 ==> join( X, top ) }.
% 0.71/1.08 (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement( complement( X )
% 0.71/1.08 ) ) ==> join( X, top ) }.
% 0.71/1.08 (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement( X ) ), top
% 0.71/1.08 ) ==> join( X, top ) }.
% 0.71/1.08 (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.71/1.08 ( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.71/1.08 ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.08 (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.71/1.08 join( X, converse( Y ) ) }.
% 0.71/1.08 (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.71/1.08 (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.71/1.08 (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero, complement( X )
% 0.71/1.08 ) ) ==> meet( top, X ) }.
% 0.71/1.08 (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement( X ), zero
% 0.71/1.08 ) ) ==> meet( X, top ) }.
% 0.71/1.08 (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top }.
% 0.71/1.08 (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top ) ==> join( X
% 0.71/1.08 , top ) }.
% 0.71/1.08 (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet( composition( X, Y )
% 0.71/1.08 , Z ), top ) ==> top }.
% 0.71/1.08 (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top ) ==> top }.
% 0.71/1.08 (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement( meet( X, Y )
% 0.71/1.08 ) ) ==> join( top, top ) }.
% 0.71/1.08 (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join( complement( X ),
% 0.71/1.08 top ) ==> join( top, top ) }.
% 0.71/1.08 (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top ) ==> top }.
% 0.71/1.08 (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==> top }.
% 0.71/1.08 (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 0.71/1.08 (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top ) ) ==>
% 0.71/1.08 converse( top ) }.
% 0.71/1.08 (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top }.
% 0.71/1.08 (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse( one ), X )
% 0.71/1.08 ==> X }.
% 0.71/1.08 (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one }.
% 0.71/1.08 (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X ) ==> X }.
% 0.71/1.08 (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement( X ),
% 0.71/1.08 complement( X ) ) ==> complement( X ) }.
% 0.71/1.08 (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X ) ) = meet(
% 0.71/1.08 X, X ) }.
% 0.71/1.08 (313) {G7,W7,D5,L1,V1,M1} P(288,30);d(17);d(58) { join( complement(
% 0.71/1.08 complement( X ) ), zero ) ==> X }.
% 0.71/1.08 (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet( X, top ),
% 0.71/1.08 zero ) ==> X }.
% 0.71/1.08 (342) {G11,W7,D4,L1,V1,M1} P(56,318) { join( meet( top, X ), zero ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X, complement( zero ) )
% 0.71/1.08 ==> top }.
% 0.71/1.08 (348) {G12,W5,D3,L1,V1,M1} P(344,3);d(58) { meet( X, zero ) ==> zero }.
% 0.71/1.08 (357) {G12,W7,D4,L1,V1,M1} P(342,0) { join( zero, meet( top, X ) ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero, complement( X ) )
% 0.71/1.08 ==> complement( X ) }.
% 0.71/1.08 (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==> complement(
% 0.71/1.08 complement( X ) ) }.
% 0.71/1.08 (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement( complement
% 0.71/1.08 ( X ) ) ==> X }.
% 0.71/1.08 (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 0.71/1.08 (395) {G16,W10,D5,L1,V2,M1} P(381,3) { complement( join( complement( Y ), X
% 0.71/1.08 ) ) ==> meet( Y, complement( X ) ) }.
% 0.71/1.08 (397) {G17,W9,D4,L1,V2,M1} P(392,19);d(1);d(392) { join( join( X, Y ), Y )
% 0.71/1.08 ==> join( X, Y ) }.
% 0.71/1.08 (486) {G18,W8,D5,L1,V2,M1} P(30,397);d(395) { join( X, meet( X, complement
% 0.71/1.08 ( Y ) ) ) ==> X }.
% 0.71/1.08 (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.71/1.08 (525) {G20,W7,D4,L1,V2,M1} P(495,0) { join( meet( X, Y ), X ) ==> X }.
% 0.71/1.08 (553) {G21,W0,D0,L0,V0,M0} P(525,16);q { }.
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 % SZS output end Refutation
% 0.71/1.08 found a proof!
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Unprocessed initial clauses:
% 0.71/1.08
% 0.71/1.08 (555) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 (556) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.71/1.08 , Z ) }.
% 0.71/1.08 (557) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X ),
% 0.71/1.08 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 (558) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement(
% 0.71/1.08 X ), complement( Y ) ) ) }.
% 0.71/1.08 (559) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.71/1.08 composition( composition( X, Y ), Z ) }.
% 0.71/1.08 (560) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.71/1.08 (561) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.71/1.08 composition( X, Z ), composition( Y, Z ) ) }.
% 0.71/1.08 (562) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.71/1.08 (563) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.71/1.08 ), converse( Y ) ) }.
% 0.71/1.08 (564) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) = composition
% 0.71/1.08 ( converse( Y ), converse( X ) ) }.
% 0.71/1.08 (565) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.71/1.08 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.71/1.08 (566) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.71/1.08 (567) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.71/1.08 (568) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 0.71/1.08 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.71/1.08 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.71/1.08 (569) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.71/1.08 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 0.71/1.08 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.71/1.08 }.
% 0.71/1.08 (570) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.71/1.08 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 0.71/1.08 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.71/1.08 }.
% 0.71/1.08 (571) {G0,W20,D6,L1,V0,M1} { ! join( composition( meet( skol1, converse(
% 0.71/1.08 skol2 ) ), meet( skol2, skol3 ) ), composition( skol1, meet( skol2, skol3
% 0.71/1.08 ) ) ) = composition( skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Total Proof:
% 0.71/1.08
% 0.71/1.08 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent0: (555) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.71/1.08 ( join( X, Y ), Z ) }.
% 0.71/1.08 parent0: (556) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join
% 0.71/1.08 ( X, Y ), Z ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (574) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement( X
% 0.71/1.08 ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (557) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.71/1.08 Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.71/1.08 Y ) ) ) ==> X }.
% 0.71/1.08 parent0: (574) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.71/1.08 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (577) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.71/1.08 complement( Y ) ) ) = meet( X, Y ) }.
% 0.71/1.08 parent0[0]: (558) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 parent0: (577) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.71/1.08 complement( Y ) ) ) = meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.08 parent0: (560) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (588) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.71/1.08 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.71/1.08 parent0[0]: (561) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.71/1.08 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.71/1.08 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.71/1.08 parent0: (588) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.71/1.08 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 parent0: (562) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (603) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.71/1.08 = converse( join( X, Y ) ) }.
% 0.71/1.08 parent0[0]: (563) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join(
% 0.71/1.08 converse( X ), converse( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.71/1.08 ) ) ==> converse( join( X, Y ) ) }.
% 0.71/1.08 parent0: (603) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.71/1.08 = converse( join( X, Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (612) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.71/1.08 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.71/1.08 parent0[0]: (564) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.71/1.08 composition( converse( Y ), converse( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.71/1.08 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.71/1.08 parent0: (612) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.71/1.08 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.71/1.08 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.71/1.08 Y ) }.
% 0.71/1.08 parent0: (565) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.71/1.08 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (633) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.71/1.08 parent0[0]: (566) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.71/1.08 top }.
% 0.71/1.08 parent0: (633) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (645) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.71/1.08 parent0[0]: (567) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent0: (645) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.71/1.08 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.71/1.08 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.71/1.08 ) ) ) }.
% 0.71/1.08 parent0: (568) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.71/1.08 , composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.71/1.08 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (694) {G1,W16,D6,L1,V0,M1} { ! composition( join( meet( skol1,
% 0.71/1.08 converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) = composition( skol1
% 0.71/1.08 , meet( skol2, skol3 ) ) }.
% 0.71/1.08 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.71/1.08 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.71/1.08 parent1[0; 2]: (571) {G0,W20,D6,L1,V0,M1} { ! join( composition( meet(
% 0.71/1.08 skol1, converse( skol2 ) ), meet( skol2, skol3 ) ), composition( skol1,
% 0.71/1.08 meet( skol2, skol3 ) ) ) = composition( skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := meet( skol1, converse( skol2 ) )
% 0.71/1.08 Y := skol1
% 0.71/1.08 Z := meet( skol2, skol3 )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (16) {G1,W16,D6,L1,V0,M1} I;d(6) { ! composition( join( meet(
% 0.71/1.08 skol1, converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) ==>
% 0.71/1.08 composition( skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.08 parent0: (694) {G1,W16,D6,L1,V0,M1} { ! composition( join( meet( skol1,
% 0.71/1.08 converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) = composition( skol1
% 0.71/1.08 , meet( skol2, skol3 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (696) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) ) }.
% 0.71/1.08 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (697) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 2]: (696) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.71/1.08 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (700) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top }.
% 0.71/1.08 parent0[0]: (697) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent0: (700) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (701) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.71/1.08 join( Y, Z ) ) }.
% 0.71/1.08 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.08 join( X, Y ), Z ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (706) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.71/1.08 , join( Z, Y ) ) }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 8]: (701) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.71/1.08 join( X, join( Y, Z ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := Z
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (719) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.71/1.08 join( X, Z ), Y ) }.
% 0.71/1.08 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.08 join( X, Y ), Z ) }.
% 0.71/1.08 parent1[0; 6]: (706) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.71/1.08 join( X, join( Z, Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Z
% 0.71/1.08 Z := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.71/1.08 ) = join( join( Z, X ), Y ) }.
% 0.71/1.08 parent0: (719) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.71/1.08 join( X, Z ), Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Z
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (721) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.71/1.08 join( Y, Z ) ) }.
% 0.71/1.08 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.08 join( X, Y ), Z ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (724) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.71/1.08 ) ==> join( X, top ) }.
% 0.71/1.08 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 9]: (721) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.71/1.08 join( X, join( Y, Z ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := complement( Y )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.08 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.08 parent0: (724) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.71/1.08 ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (728) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.71/1.08 , complement( Y ) ) }.
% 0.71/1.08 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.08 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (731) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.71/1.08 ), complement( Y ) ) }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 5]: (728) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.08 ( X, Y ), complement( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (744) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y ) )
% 0.71/1.08 ==> join( X, top ) }.
% 0.71/1.08 parent0[0]: (731) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.71/1.08 , X ), complement( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.71/1.08 complement( Y ) ) ==> join( X, top ) }.
% 0.71/1.08 parent0: (744) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.71/1.08 ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (746) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.71/1.08 , complement( Y ) ) }.
% 0.71/1.08 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.08 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (747) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.08 complement( complement( X ) ) ) }.
% 0.71/1.08 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 5]: (746) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.08 ( X, Y ), complement( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := complement( X )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (748) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X )
% 0.71/1.08 ) ) ==> join( X, top ) }.
% 0.71/1.08 parent0[0]: (747) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.08 complement( complement( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.71/1.08 complement( X ) ) ) ==> join( X, top ) }.
% 0.71/1.08 parent0: (748) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.71/1.08 ) ) ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (749) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.08 complement( complement( X ) ) ) }.
% 0.71/1.08 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.71/1.08 complement( X ) ) ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (751) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement(
% 0.71/1.08 complement( X ) ), top ) }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 4]: (749) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.08 complement( complement( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := top
% 0.71/1.08 Y := complement( complement( X ) )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (757) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.71/1.08 top ) ==> join( X, top ) }.
% 0.71/1.08 parent0[0]: (751) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.71/1.08 complement( complement( X ) ), top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement(
% 0.71/1.08 complement( X ) ), top ) ==> join( X, top ) }.
% 0.71/1.08 parent0: (757) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.71/1.08 top ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (760) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.71/1.08 ( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.71/1.08 Y ) ) ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 parent0: (760) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.71/1.08 ( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (763) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.71/1.08 composition( converse( X ), converse( Y ) ) }.
% 0.71/1.08 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.71/1.08 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (765) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.71/1.08 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.08 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.08 parent1[0; 9]: (763) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.71/1.08 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := converse( X )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.71/1.08 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.08 parent0: (765) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.71/1.08 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (769) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.71/1.08 converse( X ), converse( Y ) ) }.
% 0.71/1.08 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.71/1.08 ) ==> converse( join( X, Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (770) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y ) )
% 0.71/1.08 ==> join( X, converse( Y ) ) }.
% 0.71/1.08 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.08 parent1[0; 7]: (769) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.71/1.08 join( converse( X ), converse( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := converse( X )
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.71/1.08 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.71/1.08 parent0: (770) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y ) )
% 0.71/1.08 ==> join( X, converse( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (774) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (776) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( Y ), complement( X ) ) ) }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 5]: (774) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 Y := complement( Y )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (778) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 parent1[0; 4]: (776) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( Y ), complement( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.71/1.08 , Y ) }.
% 0.71/1.08 parent0: (778) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (780) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (783) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.71/1.08 complement( top ) }.
% 0.71/1.08 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 6]: (780) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := complement( X )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (784) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.71/1.08 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 1]: (783) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.71/1.08 complement( top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (785) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.71/1.08 parent0[0]: (784) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent0: (785) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (787) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (788) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.71/1.08 zero, complement( X ) ) ) }.
% 0.71/1.08 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 6]: (787) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := top
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (790) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.71/1.08 ) ) ) ==> meet( top, X ) }.
% 0.71/1.08 parent0[0]: (788) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.71/1.08 join( zero, complement( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.71/1.08 complement( X ) ) ) ==> meet( top, X ) }.
% 0.71/1.08 parent0: (790) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.71/1.08 ) ) ) ==> meet( top, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (793) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (795) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.71/1.08 complement( X ), zero ) ) }.
% 0.71/1.08 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 8]: (793) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := top
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (797) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.71/1.08 zero ) ) ==> meet( X, top ) }.
% 0.71/1.08 parent0[0]: (795) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.71/1.08 join( complement( X ), zero ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join(
% 0.71/1.08 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.71/1.08 parent0: (797) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.71/1.08 zero ) ) ==> meet( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (799) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X ) }.
% 0.71/1.08 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.71/1.08 ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (800) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.71/1.08 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 3]: (799) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ),
% 0.71/1.08 X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := top
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (801) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.71/1.08 parent0[0]: (800) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent0: (801) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (803) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.71/1.08 join( Y, Z ) ) }.
% 0.71/1.08 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.08 join( X, Y ), Z ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (805) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==> join
% 0.71/1.08 ( X, top ) }.
% 0.71/1.08 parent0[0]: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 8]: (803) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.71/1.08 join( X, join( Y, Z ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := zero
% 0.71/1.08 Z := top
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top
% 0.71/1.08 ) ==> join( X, top ) }.
% 0.71/1.08 parent0: (805) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==> join
% 0.71/1.08 ( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 *** allocated 15000 integers for termspace/termends
% 0.71/1.08 eqswap: (809) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.71/1.08 , complement( Y ) ) }.
% 0.71/1.08 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.08 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (811) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.71/1.08 , top ) ==> join( composition( meet( X, composition( Z, converse( Y ) ) )
% 0.71/1.08 , meet( Y, composition( converse( X ), Z ) ) ), complement( composition(
% 0.71/1.08 meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.71/1.08 converse( X ), Z ) ) ) ) ) }.
% 0.71/1.08 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.71/1.08 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.71/1.08 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.71/1.08 ) ) ) }.
% 0.71/1.08 parent1[0; 9]: (809) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.08 ( X, Y ), complement( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := meet( composition( X, Y ), Z )
% 0.71/1.08 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (812) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.71/1.08 , top ) ==> top }.
% 0.71/1.08 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 8]: (811) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y
% 0.71/1.08 ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse(
% 0.71/1.08 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 0.71/1.08 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.71/1.08 composition( converse( X ), Z ) ) )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 0.71/1.08 composition( X, Y ), Z ), top ) ==> top }.
% 0.71/1.08 parent0: (812) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.71/1.08 , top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (815) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X, Y
% 0.71/1.08 ), Z ), top ) }.
% 0.71/1.08 parent0[0]: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 0.71/1.08 composition( X, Y ), Z ), top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (816) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top ) }.
% 0.71/1.08 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.08 parent1[0; 4]: (815) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition
% 0.71/1.08 ( X, Y ), Z ), top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := one
% 0.71/1.08 Z := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (817) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.71/1.08 parent0[0]: (816) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent0: (817) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (819) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y )
% 0.71/1.08 , complement( X ) ) }.
% 0.71/1.08 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 0.71/1.08 complement( Y ) ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (821) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.71/1.08 complement( meet( X, Y ) ) ) }.
% 0.71/1.08 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent1[0; 5]: (819) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.71/1.08 ( X, Y ), complement( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := meet( X, Y )
% 0.71/1.08 Y := top
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (823) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y ) )
% 0.71/1.08 ) ==> join( top, top ) }.
% 0.71/1.08 parent0[0]: (821) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.71/1.08 complement( meet( X, Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 0.71/1.08 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.71/1.08 parent0: (823) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.71/1.08 ) ) ==> join( top, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (825) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.08 complement( complement( X ) ) ) }.
% 0.71/1.08 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 0.71/1.08 complement( X ) ) ) ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (828) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.71/1.08 , top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.71/1.08 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 0.71/1.08 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.71/1.08 parent1[0; 10]: (825) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.08 complement( complement( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := join( complement( X ), zero )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (829) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.71/1.08 , top ) ==> join( top, top ) }.
% 0.71/1.08 parent0[0]: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 0.71/1.08 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.71/1.08 parent1[0; 7]: (828) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ),
% 0.71/1.08 zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := top
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (830) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==> join
% 0.71/1.08 ( top, top ) }.
% 0.71/1.08 parent0[0]: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top )
% 0.71/1.08 ==> join( X, top ) }.
% 0.71/1.08 parent1[0; 1]: (829) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ),
% 0.71/1.08 zero ), top ) ==> join( top, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 0.71/1.08 complement( X ), top ) ==> join( top, top ) }.
% 0.71/1.08 parent0: (830) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==> join
% 0.71/1.08 ( top, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (833) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.71/1.08 ( X ), top ) }.
% 0.71/1.08 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 0.71/1.08 complement( X ), top ) ==> join( top, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (835) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X,
% 0.71/1.08 top ), top ) }.
% 0.71/1.08 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 0.71/1.08 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.71/1.08 parent1[0; 5]: (833) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.71/1.08 complement( X ), top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := join( complement( X ), zero )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (836) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.71/1.08 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent1[0; 4]: (835) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet
% 0.71/1.08 ( X, top ), top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := top
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent0: (836) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (838) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.71/1.08 ( X ), top ) }.
% 0.71/1.08 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 0.71/1.08 complement( X ), top ) ==> join( top, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (841) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement
% 0.71/1.08 ( X ) ), top ) ==> join( X, top ) }.
% 0.71/1.08 parent1[0; 4]: (838) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.71/1.08 complement( X ), top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (842) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.71/1.08 parent0[0]: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent1[0; 1]: (841) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.71/1.08 top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (843) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.71/1.08 parent0[0]: (842) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent0: (843) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (844) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.71/1.08 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.71/1.08 top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (845) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 2]: (844) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := top
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (848) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.71/1.08 parent0[0]: (845) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent0: (848) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (850) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==> converse
% 0.71/1.08 ( join( converse( X ), Y ) ) }.
% 0.71/1.08 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.71/1.08 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (851) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.71/1.08 converse( top ) }.
% 0.71/1.08 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.71/1.08 top }.
% 0.71/1.08 parent1[0; 6]: (850) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.71/1.08 converse( join( converse( X ), Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := converse( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := top
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.71/1.08 ) ==> converse( top ) }.
% 0.71/1.08 parent0: (851) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.71/1.08 converse( top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (853) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X, converse
% 0.71/1.08 ( top ) ) }.
% 0.71/1.08 parent0[0]: (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.71/1.08 ) ==> converse( top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (855) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.71/1.08 parent0[0]: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 0.71/1.08 parent1[0; 3]: (853) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 0.71/1.08 converse( top ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := converse( top )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := top
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent0: (855) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (858) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.71/1.08 converse( composition( converse( X ), Y ) ) }.
% 0.71/1.08 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.71/1.08 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (861) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.71/1.08 converse( converse( X ) ) }.
% 0.71/1.08 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.08 parent1[0; 6]: (858) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.71/1.08 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := converse( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := one
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (862) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.71/1.08 X }.
% 0.71/1.08 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.08 parent1[0; 5]: (861) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X
% 0.71/1.08 ) ==> converse( converse( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.71/1.08 ( one ), X ) ==> X }.
% 0.71/1.08 parent0: (862) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.71/1.08 X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (864) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.71/1.08 ) }.
% 0.71/1.08 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.71/1.08 ( one ), X ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (866) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.71/1.08 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.08 parent1[0; 2]: (864) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.71/1.08 one ), X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := converse( one )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := one
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (867) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.71/1.08 parent0[0]: (866) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one
% 0.71/1.08 }.
% 0.71/1.08 parent0: (867) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (869) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.71/1.08 ) }.
% 0.71/1.08 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.71/1.08 ( one ), X ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (870) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.71/1.08 parent0[0]: (273) {G3,W4,D3,L1,V0,M1} P(267,5) { converse( one ) ==> one
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 3]: (869) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.71/1.08 one ), X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (871) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.71/1.08 parent0[0]: (870) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 0.71/1.08 ==> X }.
% 0.71/1.08 parent0: (871) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (873) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join( composition
% 0.71/1.08 ( converse( X ), complement( composition( X, Y ) ) ), complement( Y ) )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.71/1.08 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.71/1.08 Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (875) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.08 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.71/1.08 parent0[0]: (275) {G4,W5,D3,L1,V1,M1} P(273,267) { composition( one, X )
% 0.71/1.08 ==> X }.
% 0.71/1.08 parent1[0; 8]: (873) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.71/1.08 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.71/1.08 complement( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := one
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (876) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.71/1.08 ( X ), complement( X ) ) }.
% 0.71/1.08 parent0[0]: (267) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 0.71/1.08 ( one ), X ) ==> X }.
% 0.71/1.08 parent1[0; 4]: (875) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.08 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (877) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X )
% 0.71/1.08 ) ==> complement( X ) }.
% 0.71/1.08 parent0[0]: (876) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.08 complement( X ), complement( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement
% 0.71/1.08 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.71/1.08 parent0: (877) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.71/1.08 ) ) ==> complement( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (879) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (894) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.71/1.08 complement( X ) ) }.
% 0.71/1.08 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 0.71/1.08 X ), complement( X ) ) ==> complement( X ) }.
% 0.71/1.08 parent1[0; 5]: (879) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (895) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==> meet
% 0.71/1.08 ( X, X ) }.
% 0.71/1.08 parent0[0]: (894) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.71/1.08 complement( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 0.71/1.08 ) ) = meet( X, X ) }.
% 0.71/1.08 parent0: (895) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.71/1.08 meet( X, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (896) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement( complement
% 0.71/1.08 ( X ) ) }.
% 0.71/1.08 parent0[0]: (288) {G6,W7,D4,L1,V1,M1} P(280,3) { complement( complement( X
% 0.71/1.08 ) ) = meet( X, X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (897) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.71/1.08 ( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (900) {G2,W11,D6,L1,V1,M1} { X ==> join( complement( complement(
% 0.71/1.08 X ) ), complement( join( complement( X ), X ) ) ) }.
% 0.71/1.08 parent0[0]: (896) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 0.71/1.08 complement( X ) ) }.
% 0.71/1.08 parent1[0; 3]: (897) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (901) {G2,W8,D5,L1,V1,M1} { X ==> join( complement( complement( X
% 0.71/1.08 ) ), complement( top ) ) }.
% 0.71/1.08 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.71/1.08 ==> top }.
% 0.71/1.08 parent1[0; 7]: (900) {G2,W11,D6,L1,V1,M1} { X ==> join( complement(
% 0.71/1.08 complement( X ) ), complement( join( complement( X ), X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (902) {G2,W7,D5,L1,V1,M1} { X ==> join( complement( complement( X
% 0.71/1.08 ) ), zero ) }.
% 0.71/1.08 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 6]: (901) {G2,W8,D5,L1,V1,M1} { X ==> join( complement(
% 0.71/1.08 complement( X ) ), complement( top ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (903) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.71/1.08 zero ) ==> X }.
% 0.71/1.08 parent0[0]: (902) {G2,W7,D5,L1,V1,M1} { X ==> join( complement( complement
% 0.71/1.08 ( X ) ), zero ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (313) {G7,W7,D5,L1,V1,M1} P(288,30);d(17);d(58) { join(
% 0.71/1.08 complement( complement( X ) ), zero ) ==> X }.
% 0.71/1.08 parent0: (903) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.71/1.08 zero ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (905) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.71/1.08 ( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (908) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.71/1.08 ), complement( converse( top ) ) ) }.
% 0.71/1.08 parent0[0]: (200) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 0.71/1.08 ) ==> converse( top ) }.
% 0.71/1.08 parent1[0; 8]: (905) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := converse( top )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (910) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.71/1.08 ), complement( top ) ) }.
% 0.71/1.08 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 8]: (908) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.71/1.08 ( top ) ), complement( converse( top ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (911) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.71/1.08 complement( top ) ) }.
% 0.71/1.08 parent0[0]: (206) {G9,W4,D3,L1,V0,M1} P(200,174) { converse( top ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent1[0; 5]: (910) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse(
% 0.71/1.08 top ) ), complement( top ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (914) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 6]: (911) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.71/1.08 complement( top ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (915) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X }.
% 0.71/1.08 parent0[0]: (914) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet
% 0.71/1.08 ( X, top ), zero ) ==> X }.
% 0.71/1.08 parent0: (915) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (916) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet
% 0.71/1.08 ( X, top ), zero ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (917) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.71/1.08 Y ) }.
% 0.71/1.08 parent1[0; 3]: (916) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.71/1.08 zero ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := top
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (920) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X }.
% 0.71/1.08 parent0[0]: (917) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (342) {G11,W7,D4,L1,V1,M1} P(56,318) { join( meet( top, X ),
% 0.71/1.08 zero ) ==> X }.
% 0.71/1.08 parent0: (920) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (922) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.71/1.08 , complement( Y ) ) }.
% 0.71/1.08 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.08 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (924) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top ) ==> join
% 0.71/1.08 ( X, complement( zero ) ) }.
% 0.71/1.08 parent0[0]: (318) {G10,W7,D4,L1,V1,M1} P(200,30);d(206);d(58) { join( meet
% 0.71/1.08 ( X, top ), zero ) ==> X }.
% 0.71/1.08 parent1[0; 7]: (922) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.08 ( X, Y ), complement( Y ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := meet( X, top )
% 0.71/1.08 Y := zero
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (925) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero ) )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 0.71/1.08 top }.
% 0.71/1.08 parent1[0; 1]: (924) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top )
% 0.71/1.08 ==> join( X, complement( zero ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := meet( X, top )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (926) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (925) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero
% 0.71/1.08 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X,
% 0.71/1.08 complement( zero ) ) ==> top }.
% 0.71/1.08 parent0: (926) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==> top
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (928) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.08 complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.08 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (930) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement( top )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (344) {G11,W6,D4,L1,V1,M1} P(318,20);d(171) { join( X,
% 0.71/1.08 complement( zero ) ) ==> top }.
% 0.71/1.08 parent1[0; 5]: (928) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.08 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := zero
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (931) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.71/1.08 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 4]: (930) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement
% 0.71/1.08 ( top ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (348) {G12,W5,D3,L1,V1,M1} P(344,3);d(58) { meet( X, zero )
% 0.71/1.08 ==> zero }.
% 0.71/1.08 parent0: (931) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (933) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (342) {G11,W7,D4,L1,V1,M1} P(56,318) { join( meet( top, X ),
% 0.71/1.08 zero ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (934) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.71/1.08 }.
% 0.71/1.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.08 parent1[0; 2]: (933) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.71/1.08 zero ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := meet( top, X )
% 0.71/1.08 Y := zero
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (937) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X }.
% 0.71/1.08 parent0[0]: (934) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (357) {G12,W7,D4,L1,V1,M1} P(342,0) { join( zero, meet( top, X
% 0.71/1.08 ) ) ==> X }.
% 0.71/1.08 parent0: (937) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (939) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.71/1.08 ( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (941) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join( meet(
% 0.71/1.08 complement( X ), zero ), complement( X ) ) }.
% 0.71/1.08 parent0[0]: (313) {G7,W7,D5,L1,V1,M1} P(288,30);d(17);d(58) { join(
% 0.71/1.08 complement( complement( X ) ), zero ) ==> X }.
% 0.71/1.08 parent1[0; 9]: (939) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.71/1.08 complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 Y := zero
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 paramod: (942) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.71/1.08 complement( X ) ) }.
% 0.71/1.08 parent0[0]: (348) {G12,W5,D3,L1,V1,M1} P(344,3);d(58) { meet( X, zero ) ==>
% 0.71/1.08 zero }.
% 0.71/1.08 parent1[0; 4]: (941) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join( meet
% 0.71/1.08 ( complement( X ), zero ), complement( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := complement( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (943) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.71/1.08 complement( X ) }.
% 0.71/1.08 parent0[0]: (942) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.71/1.08 complement( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 0.71/1.08 complement( X ) ) ==> complement( X ) }.
% 0.71/1.08 parent0: (943) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.71/1.08 complement( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 eqswap: (945) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.71/1.09 zero, complement( X ) ) ) }.
% 0.71/1.09 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.71/1.09 complement( X ) ) ) ==> meet( top, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (952) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.71/1.09 complement( X ) ) }.
% 0.71/1.09 parent0[0]: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 0.71/1.09 complement( X ) ) ==> complement( X ) }.
% 0.71/1.09 parent1[0; 5]: (945) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.71/1.09 join( zero, complement( X ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==>
% 0.71/1.09 complement( complement( X ) ) }.
% 0.71/1.09 parent0: (952) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.71/1.09 complement( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (955) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.71/1.09 complement( X ) ) }.
% 0.71/1.09 parent0[0]: (365) {G13,W7,D4,L1,V1,M1} P(313,30);d(348) { join( zero,
% 0.71/1.09 complement( X ) ) ==> complement( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (960) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement(
% 0.71/1.09 X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.71/1.09 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.71/1.09 complement( X ) ) ) ==> meet( top, X ) }.
% 0.71/1.09 parent1[0; 8]: (955) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero
% 0.71/1.09 , complement( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := join( zero, complement( X ) )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (961) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet(
% 0.71/1.09 top, X ) ) }.
% 0.71/1.09 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 0.71/1.09 complement( X ) ) ) ==> meet( top, X ) }.
% 0.71/1.09 parent1[0; 1]: (960) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.71/1.09 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (963) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.71/1.09 parent0[0]: (357) {G12,W7,D4,L1,V1,M1} P(342,0) { join( zero, meet( top, X
% 0.71/1.09 ) ) ==> X }.
% 0.71/1.09 parent1[0; 4]: (961) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero,
% 0.71/1.09 meet( top, X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (964) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (380) {G14,W7,D4,L1,V1,M1} P(365,59) { meet( top, X ) ==>
% 0.71/1.09 complement( complement( X ) ) }.
% 0.71/1.09 parent1[0; 1]: (963) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) {
% 0.71/1.09 complement( complement( X ) ) ==> X }.
% 0.71/1.09 parent0: (964) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (967) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement(
% 0.71/1.09 X ), complement( X ) ) }.
% 0.71/1.09 parent0[0]: (280) {G5,W8,D4,L1,V1,M1} P(275,10);d(267) { join( complement(
% 0.71/1.09 X ), complement( X ) ) ==> complement( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (970) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.71/1.09 join( complement( complement( X ) ), X ) }.
% 0.71/1.09 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 0.71/1.09 ( complement( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 8]: (967) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.09 complement( X ), complement( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := complement( X )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (972) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.71/1.09 join( X, X ) }.
% 0.71/1.09 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 0.71/1.09 ( complement( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 5]: (970) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.71/1.09 ==> join( complement( complement( X ) ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (973) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.71/1.09 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 0.71/1.09 ( complement( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 1]: (972) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.71/1.09 ==> join( X, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (979) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.71/1.09 parent0[0]: (973) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 0.71/1.09 parent0: (979) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (983) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.09 complement( X ), complement( Y ) ) ) }.
% 0.71/1.09 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.09 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (987) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.71/1.09 complement( join( complement( X ), Y ) ) }.
% 0.71/1.09 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 0.71/1.09 ( complement( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 9]: (983) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.09 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := complement( Y )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (989) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.71/1.09 ) ) ==> meet( X, complement( Y ) ) }.
% 0.71/1.09 parent0[0]: (987) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.71/1.09 complement( join( complement( X ), Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (395) {G16,W10,D5,L1,V2,M1} P(381,3) { complement( join(
% 0.71/1.09 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.71/1.09 parent0: (989) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.71/1.09 ) ) ==> meet( X, complement( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (990) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.71/1.09 parent0[0]: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (993) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X, join
% 0.71/1.09 ( X, Y ) ), Y ) }.
% 0.71/1.09 parent0[0]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.71/1.09 = join( join( Z, X ), Y ) }.
% 0.71/1.09 parent1[0; 4]: (990) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := join( X, Y )
% 0.71/1.09 Y := Y
% 0.71/1.09 Z := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := join( X, Y )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (995) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join( X
% 0.71/1.09 , X ), Y ), Y ) }.
% 0.71/1.09 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.09 join( X, Y ), Z ) }.
% 0.71/1.09 parent1[0; 5]: (993) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X
% 0.71/1.09 , join( X, Y ) ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := X
% 0.71/1.09 Z := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (996) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y ),
% 0.71/1.09 Y ) }.
% 0.71/1.09 parent0[0]: (392) {G16,W5,D3,L1,V1,M1} P(381,280) { join( X, X ) ==> X }.
% 0.71/1.09 parent1[0; 6]: (995) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.71/1.09 join( X, X ), Y ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (997) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X, Y
% 0.71/1.09 ) }.
% 0.71/1.09 parent0[0]: (996) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.71/1.09 ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (397) {G17,W9,D4,L1,V2,M1} P(392,19);d(1);d(392) { join( join
% 0.71/1.09 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.71/1.09 parent0: (997) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.71/1.09 Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (999) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y ),
% 0.71/1.09 Y ) }.
% 0.71/1.09 parent0[0]: (397) {G17,W9,D4,L1,V2,M1} P(392,19);d(1);d(392) { join( join(
% 0.71/1.09 X, Y ), Y ) ==> join( X, Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (1002) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.71/1.09 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.71/1.09 ( X ), Y ) ) ) }.
% 0.71/1.09 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.71/1.09 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.09 parent1[0; 11]: (999) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.71/1.09 X, Y ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := meet( X, Y )
% 0.71/1.09 Y := complement( join( complement( X ), Y ) )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (1003) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.71/1.09 complement( X ), Y ) ) ) }.
% 0.71/1.09 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.71/1.09 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.71/1.09 parent1[0; 1]: (1002) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.71/1.09 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.71/1.09 ( complement( X ), Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (1010) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.71/1.09 Y ) ) ) }.
% 0.71/1.09 parent0[0]: (395) {G16,W10,D5,L1,V2,M1} P(381,3) { complement( join(
% 0.71/1.09 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.71/1.09 parent1[0; 4]: (1003) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.71/1.09 join( complement( X ), Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (1011) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.71/1.09 ==> X }.
% 0.71/1.09 parent0[0]: (1010) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.71/1.09 complement( Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (486) {G18,W8,D5,L1,V2,M1} P(30,397);d(395) { join( X, meet( X
% 0.71/1.09 , complement( Y ) ) ) ==> X }.
% 0.71/1.09 parent0: (1011) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.71/1.09 ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (1013) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.71/1.09 Y ) ) ) }.
% 0.71/1.09 parent0[0]: (486) {G18,W8,D5,L1,V2,M1} P(30,397);d(395) { join( X, meet( X
% 0.71/1.09 , complement( Y ) ) ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (1014) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.71/1.09 parent0[0]: (381) {G15,W5,D4,L1,V1,M1} P(59,365);d(357);d(380) { complement
% 0.71/1.09 ( complement( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 6]: (1013) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.71/1.09 complement( Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := complement( Y )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (1015) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.71/1.09 parent0[0]: (1014) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X )
% 0.71/1.09 ) ==> Y }.
% 0.71/1.09 parent0: (1015) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (1016) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.71/1.09 parent0[0]: (495) {G19,W7,D4,L1,V2,M1} P(381,486) { join( Y, meet( Y, X ) )
% 0.71/1.09 ==> Y }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (1017) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 0.71/1.09 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 parent1[0; 2]: (1016) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := meet( X, Y )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (1020) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 0.71/1.09 parent0[0]: (1017) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (525) {G20,W7,D4,L1,V2,M1} P(495,0) { join( meet( X, Y ), X )
% 0.71/1.09 ==> X }.
% 0.71/1.09 parent0: (1020) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (1022) {G1,W16,D6,L1,V0,M1} { ! composition( skol1, meet( skol2,
% 0.71/1.09 skol3 ) ) ==> composition( join( meet( skol1, converse( skol2 ) ), skol1
% 0.71/1.09 ), meet( skol2, skol3 ) ) }.
% 0.71/1.09 parent0[0]: (16) {G1,W16,D6,L1,V0,M1} I;d(6) { ! composition( join( meet(
% 0.71/1.09 skol1, converse( skol2 ) ), skol1 ), meet( skol2, skol3 ) ) ==>
% 0.71/1.09 composition( skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (1023) {G2,W11,D4,L1,V0,M1} { ! composition( skol1, meet( skol2,
% 0.71/1.09 skol3 ) ) ==> composition( skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.09 parent0[0]: (525) {G20,W7,D4,L1,V2,M1} P(495,0) { join( meet( X, Y ), X )
% 0.71/1.09 ==> X }.
% 0.71/1.09 parent1[0; 8]: (1022) {G1,W16,D6,L1,V0,M1} { ! composition( skol1, meet(
% 0.71/1.09 skol2, skol3 ) ) ==> composition( join( meet( skol1, converse( skol2 ) )
% 0.71/1.09 , skol1 ), meet( skol2, skol3 ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol1
% 0.71/1.09 Y := converse( skol2 )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqrefl: (1024) {G0,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 parent0[0]: (1023) {G2,W11,D4,L1,V0,M1} { ! composition( skol1, meet(
% 0.71/1.09 skol2, skol3 ) ) ==> composition( skol1, meet( skol2, skol3 ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (553) {G21,W0,D0,L0,V0,M0} P(525,16);q { }.
% 0.71/1.09 parent0: (1024) {G0,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 Proof check complete!
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 7242
% 0.71/1.09 space for clauses: 63486
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 5278
% 0.71/1.09 clauses kept: 554
% 0.71/1.09 clauses selected: 126
% 0.71/1.09 clauses deleted: 43
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 2696
% 0.71/1.09 literals s-matched: 1133
% 0.71/1.09 literals matched: 1017
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: 1113021574
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------