TSTP Solution File: REL010+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL010+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 19:00:01 EDT 2022
% Result : Theorem 0.87s 1.27s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL010+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Fri Jul 8 14:30:15 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.87/1.27 *** allocated 10000 integers for termspace/termends
% 0.87/1.27 *** allocated 10000 integers for clauses
% 0.87/1.27 *** allocated 10000 integers for justifications
% 0.87/1.27 Bliksem 1.12
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Automatic Strategy Selection
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Clauses:
% 0.87/1.27
% 0.87/1.27 { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.87/1.27 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.87/1.27 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.27 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.87/1.27 , Z ) }.
% 0.87/1.27 { composition( X, one ) = X }.
% 0.87/1.27 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.87/1.27 Y, Z ) ) }.
% 0.87/1.27 { converse( converse( X ) ) = X }.
% 0.87/1.27 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.87/1.27 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.87/1.27 ) ) }.
% 0.87/1.27 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.27 complement( Y ) ) = complement( Y ) }.
% 0.87/1.27 { top = join( X, complement( X ) ) }.
% 0.87/1.27 { zero = meet( X, complement( X ) ) }.
% 0.87/1.27 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.87/1.27 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 0.87/1.27 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) }.
% 0.87/1.27 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 0.87/1.27 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 0.87/1.27 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 0.87/1.27 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 0.87/1.27 { meet( composition( skol1, skol2 ), skol3 ) = zero }.
% 0.87/1.27 { ! meet( skol2, composition( converse( skol1 ), skol3 ) ) = zero }.
% 0.87/1.27
% 0.87/1.27 percentage equality = 1.000000, percentage horn = 1.000000
% 0.87/1.27 This is a pure equality problem
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Options Used:
% 0.87/1.27
% 0.87/1.27 useres = 1
% 0.87/1.27 useparamod = 1
% 0.87/1.27 useeqrefl = 1
% 0.87/1.27 useeqfact = 1
% 0.87/1.27 usefactor = 1
% 0.87/1.27 usesimpsplitting = 0
% 0.87/1.27 usesimpdemod = 5
% 0.87/1.27 usesimpres = 3
% 0.87/1.27
% 0.87/1.27 resimpinuse = 1000
% 0.87/1.27 resimpclauses = 20000
% 0.87/1.27 substype = eqrewr
% 0.87/1.27 backwardsubs = 1
% 0.87/1.27 selectoldest = 5
% 0.87/1.27
% 0.87/1.27 litorderings [0] = split
% 0.87/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.27
% 0.87/1.27 termordering = kbo
% 0.87/1.27
% 0.87/1.27 litapriori = 0
% 0.87/1.27 termapriori = 1
% 0.87/1.27 litaposteriori = 0
% 0.87/1.27 termaposteriori = 0
% 0.87/1.27 demodaposteriori = 0
% 0.87/1.27 ordereqreflfact = 0
% 0.87/1.27
% 0.87/1.27 litselect = negord
% 0.87/1.27
% 0.87/1.27 maxweight = 15
% 0.87/1.27 maxdepth = 30000
% 0.87/1.27 maxlength = 115
% 0.87/1.27 maxnrvars = 195
% 0.87/1.27 excuselevel = 1
% 0.87/1.27 increasemaxweight = 1
% 0.87/1.27
% 0.87/1.27 maxselected = 10000000
% 0.87/1.27 maxnrclauses = 10000000
% 0.87/1.27
% 0.87/1.27 showgenerated = 0
% 0.87/1.27 showkept = 0
% 0.87/1.27 showselected = 0
% 0.87/1.27 showdeleted = 0
% 0.87/1.27 showresimp = 1
% 0.87/1.27 showstatus = 2000
% 0.87/1.27
% 0.87/1.27 prologoutput = 0
% 0.87/1.27 nrgoals = 5000000
% 0.87/1.27 totalproof = 1
% 0.87/1.27
% 0.87/1.27 Symbols occurring in the translation:
% 0.87/1.27
% 0.87/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.27 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.87/1.27 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.87/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.27 join [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.87/1.27 complement [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.27 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.27 composition [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.87/1.27 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.87/1.27 converse [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.27 top [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.87/1.27 zero [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.87/1.27 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.87/1.27 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.87/1.27 skol3 [48, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Starting Search:
% 0.87/1.27
% 0.87/1.27 *** allocated 15000 integers for clauses
% 0.87/1.27 *** allocated 22500 integers for clauses
% 0.87/1.27 *** allocated 33750 integers for clauses
% 0.87/1.27 *** allocated 50625 integers for clauses
% 0.87/1.27 *** allocated 75937 integers for clauses
% 0.87/1.27 *** allocated 113905 integers for clauses
% 0.87/1.27 *** allocated 15000 integers for termspace/termends
% 0.87/1.27 *** allocated 170857 integers for clauses
% 0.87/1.27 Resimplifying inuse:
% 0.87/1.27 Done
% 0.87/1.27
% 0.87/1.27 *** allocated 22500 integers for termspace/termends
% 0.87/1.27 *** allocated 256285 integers for clauses
% 0.87/1.27 *** allocated 33750 integers for termspace/termends
% 0.87/1.27
% 0.87/1.27 Intermediate Status:
% 0.87/1.27 Generated: 24889
% 0.87/1.27 Kept: 2013
% 0.87/1.27 Inuse: 304
% 0.87/1.27 Deleted: 168
% 0.87/1.27 Deletedinuse: 60
% 0.87/1.27
% 0.87/1.27 Resimplifying inuse:
% 0.87/1.27 Done
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Bliksems!, er is een bewijs:
% 0.87/1.27 % SZS status Theorem
% 0.87/1.27 % SZS output start Refutation
% 0.87/1.27
% 0.87/1.27 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.87/1.27 , Z ) }.
% 0.87/1.27 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.87/1.27 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.27 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.87/1.27 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 0.87/1.27 composition( composition( X, Y ), Z ) }.
% 0.87/1.27 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.27 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 0.87/1.27 ) ==> composition( join( X, Y ), Z ) }.
% 0.87/1.27 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.27 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.87/1.27 converse( join( X, Y ) ) }.
% 0.87/1.27 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.87/1.27 ==> converse( composition( X, Y ) ) }.
% 0.87/1.27 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.87/1.27 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.87/1.27 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.87/1.27 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.87/1.27 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 0.87/1.27 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.27 ) ) ) }.
% 0.87/1.27 (16) {G0,W7,D4,L1,V0,M1} I { meet( composition( skol1, skol2 ), skol3 ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 (17) {G0,W8,D5,L1,V0,M1} I { ! meet( skol2, composition( converse( skol1 )
% 0.87/1.27 , skol3 ) ) ==> zero }.
% 0.87/1.27 (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.87/1.27 (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.87/1.27 ==> join( Y, top ) }.
% 0.87/1.27 (22) {G2,W10,D6,L1,V2,M1} P(18,1) { join( join( complement( join( X, Y ) )
% 0.87/1.27 , X ), Y ) ==> top }.
% 0.87/1.27 (27) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ), complement( Y ) )
% 0.87/1.27 ==> join( X, top ) }.
% 0.87/1.27 (28) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement( complement( X )
% 0.87/1.27 ) ) ==> join( X, top ) }.
% 0.87/1.27 (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.87/1.27 ( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.27 (30) {G3,W9,D5,L1,V1,M1} P(28,0) { join( complement( complement( X ) ), top
% 0.87/1.27 ) ==> join( X, top ) }.
% 0.87/1.27 (38) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.87/1.27 ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.27 (46) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.87/1.27 (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.87/1.27 (50) {G2,W9,D5,L1,V1,M1} P(48,3) { complement( join( complement( X ), zero
% 0.87/1.27 ) ) ==> meet( X, top ) }.
% 0.87/1.27 (55) {G2,W5,D3,L1,V0,M1} P(48,18) { join( zero, top ) ==> top }.
% 0.87/1.27 (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top ) ==> join( X
% 0.87/1.27 , top ) }.
% 0.87/1.27 (61) {G2,W8,D5,L1,V0,M1} P(46,17) { ! meet( composition( converse( skol1 )
% 0.87/1.27 , skol3 ), skol2 ) ==> zero }.
% 0.87/1.27 (62) {G2,W7,D4,L1,V0,M1} P(46,16) { meet( skol3, composition( skol1, skol2
% 0.87/1.27 ) ) ==> zero }.
% 0.87/1.27 (74) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.87/1.27 join( X, converse( Y ) ) }.
% 0.87/1.27 (88) {G2,W11,D6,L1,V1,M1} P(48,10) { join( composition( converse( X ),
% 0.87/1.27 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.27 (119) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet( composition( X, Y )
% 0.87/1.27 , Z ), top ) ==> top }.
% 0.87/1.27 (125) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition( converse( X )
% 0.87/1.27 , Y ), Z ), composition( meet( converse( X ), composition( Z, converse( Y
% 0.87/1.27 ) ) ), meet( Y, composition( X, Z ) ) ) ) ==> composition( meet(
% 0.87/1.27 converse( X ), composition( Z, converse( Y ) ) ), meet( Y, composition( X
% 0.87/1.27 , Z ) ) ) }.
% 0.87/1.27 (134) {G3,W7,D4,L1,V2,M1} P(5,119) { join( meet( X, Y ), top ) ==> top }.
% 0.87/1.27 (136) {G4,W10,D5,L1,V2,M1} P(134,27) { join( top, complement( meet( X, Y )
% 0.87/1.27 ) ) ==> join( top, top ) }.
% 0.87/1.27 (169) {G5,W8,D4,L1,V1,M1} P(50,28);d(136);d(58) { join( complement( X ),
% 0.87/1.27 top ) ==> join( top, top ) }.
% 0.87/1.27 (174) {G6,W5,D3,L1,V0,M1} P(50,169);d(134) { join( top, top ) ==> top }.
% 0.87/1.27 (177) {G7,W5,D3,L1,V1,M1} P(169,30);d(174) { join( X, top ) ==> top }.
% 0.87/1.27 (215) {G8,W7,D4,L1,V1,M1} P(177,74) { join( X, converse( top ) ) ==>
% 0.87/1.27 converse( top ) }.
% 0.87/1.27 (220) {G9,W4,D3,L1,V0,M1} P(215,22) { converse( top ) ==> top }.
% 0.87/1.27 (273) {G2,W6,D4,L1,V1,M1} P(5,38);d(7) { composition( converse( one ), X )
% 0.87/1.27 ==> X }.
% 0.87/1.27 (279) {G3,W4,D3,L1,V0,M1} P(273,5) { converse( one ) ==> one }.
% 0.87/1.27 (280) {G4,W5,D3,L1,V1,M1} P(279,273) { composition( one, X ) ==> X }.
% 0.87/1.27 (285) {G5,W8,D4,L1,V1,M1} P(280,10);d(273) { join( complement( X ),
% 0.87/1.27 complement( X ) ) ==> complement( X ) }.
% 0.87/1.27 (294) {G6,W7,D4,L1,V1,M1} P(285,3) { complement( complement( X ) ) = meet(
% 0.87/1.27 X, X ) }.
% 0.87/1.27 (304) {G10,W7,D4,L1,V1,M1} P(215,29);d(220);d(48) { join( meet( X, top ),
% 0.87/1.27 zero ) ==> X }.
% 0.87/1.27 (321) {G2,W7,D4,L1,V1,M1} P(18,29);d(48) { join( meet( X, X ), zero ) ==> X
% 0.87/1.27 }.
% 0.87/1.27 (326) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X, X ) ) ==> X
% 0.87/1.27 }.
% 0.87/1.27 (334) {G11,W7,D4,L1,V1,M1} P(304,0) { join( zero, meet( X, top ) ) ==> X
% 0.87/1.27 }.
% 0.87/1.27 (360) {G7,W7,D4,L1,V1,M1} P(294,50);d(321) { meet( complement( X ), top )
% 0.87/1.27 ==> complement( X ) }.
% 0.87/1.27 (373) {G12,W7,D4,L1,V1,M1} P(360,334) { join( zero, complement( X ) ) ==>
% 0.87/1.27 complement( X ) }.
% 0.87/1.27 (378) {G13,W5,D3,L1,V1,M1} P(294,373);d(326) { meet( X, X ) ==> X }.
% 0.87/1.27 (387) {G14,W5,D3,L1,V1,M1} P(378,321) { join( X, zero ) ==> X }.
% 0.87/1.27 (950) {G15,W9,D5,L1,V1,M1} S(88);d(387) { composition( converse( X ),
% 0.87/1.27 complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.27 (962) {G16,W8,D5,L1,V0,M1} P(220,950) { composition( top, complement(
% 0.87/1.27 composition( top, top ) ) ) ==> zero }.
% 0.87/1.27 (967) {G17,W8,D5,L1,V1,M1} P(962,6);d(387);d(177);d(962) { composition( X,
% 0.87/1.27 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.27 (968) {G18,W5,D3,L1,V1,M1} P(962,4);d(967) { composition( X, zero ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 (2061) {G19,W0,D0,L0,V0,M0} P(62,125);d(968);d(387);r(61) { }.
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 % SZS output end Refutation
% 0.87/1.27 found a proof!
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Unprocessed initial clauses:
% 0.87/1.27
% 0.87/1.27 (2063) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 (2064) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.87/1.27 , Z ) }.
% 0.87/1.27 (2065) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.27 (2066) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 0.87/1.27 ( X ), complement( Y ) ) ) }.
% 0.87/1.27 (2067) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.87/1.27 composition( composition( X, Y ), Z ) }.
% 0.87/1.27 (2068) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.87/1.27 (2069) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.87/1.27 composition( X, Z ), composition( Y, Z ) ) }.
% 0.87/1.27 (2070) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.87/1.27 (2071) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.87/1.27 ), converse( Y ) ) }.
% 0.87/1.27 (2072) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.87/1.27 composition( converse( Y ), converse( X ) ) }.
% 0.87/1.27 (2073) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.87/1.27 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.87/1.27 (2074) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.87/1.27 (2075) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.87/1.27 (2076) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 0.87/1.27 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.87/1.27 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.87/1.27 (2077) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.87/1.27 composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 0.87/1.27 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 0.87/1.27 }.
% 0.87/1.27 (2078) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet(
% 0.87/1.27 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 0.87/1.27 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 0.87/1.27 }.
% 0.87/1.27 (2079) {G0,W7,D4,L1,V0,M1} { meet( composition( skol1, skol2 ), skol3 ) =
% 0.87/1.27 zero }.
% 0.87/1.27 (2080) {G0,W8,D5,L1,V0,M1} { ! meet( skol2, composition( converse( skol1 )
% 0.87/1.27 , skol3 ) ) = zero }.
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Total Proof:
% 0.87/1.27
% 0.87/1.27 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 parent0: (2063) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.87/1.27 ( join( X, Y ), Z ) }.
% 0.87/1.27 parent0: (2064) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 0.87/1.27 join( X, Y ), Z ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2083) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.87/1.27 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (2065) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.87/1.27 Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.87/1.27 Y ) ) ) ==> X }.
% 0.87/1.27 parent0: (2083) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 0.87/1.27 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 0.87/1.27 X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2086) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.87/1.27 complement( Y ) ) ) = meet( X, Y ) }.
% 0.87/1.27 parent0[0]: (2066) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 0.87/1.27 ( complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 parent0: (2086) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.87/1.27 complement( Y ) ) ) = meet( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.87/1.27 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.87/1.27 parent0: (2067) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z )
% 0.87/1.27 ) = composition( composition( X, Y ), Z ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.27 parent0: (2068) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2101) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.87/1.27 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.87/1.27 parent0[0]: (2069) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) =
% 0.87/1.27 join( composition( X, Z ), composition( Y, Z ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.87/1.27 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.87/1.27 parent0: (2101) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 0.87/1.27 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.87/1.27 }.
% 0.87/1.27 parent0: (2070) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2116) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.87/1.27 = converse( join( X, Y ) ) }.
% 0.87/1.27 parent0[0]: (2071) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 0.87/1.27 ( converse( X ), converse( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.87/1.27 ) ) ==> converse( join( X, Y ) ) }.
% 0.87/1.27 parent0: (2116) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 0.87/1.27 ) = converse( join( X, Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2125) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.87/1.27 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.87/1.27 parent0[0]: (2072) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 0.87/1.27 = composition( converse( Y ), converse( X ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.87/1.27 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.87/1.27 parent0: (2125) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 0.87/1.27 converse( X ) ) = converse( composition( X, Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.87/1.27 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.87/1.27 Y ) }.
% 0.87/1.27 parent0: (2073) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.87/1.27 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2146) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.87/1.27 parent0[0]: (2074) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.87/1.27 top }.
% 0.87/1.27 parent0: (2146) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2158) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.87/1.27 parent0[0]: (2075) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent0: (2158) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 0.87/1.27 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.27 ) ) ) }.
% 0.87/1.27 parent0: (2076) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.87/1.27 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 0.87/1.27 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (16) {G0,W7,D4,L1,V0,M1} I { meet( composition( skol1, skol2 )
% 0.87/1.27 , skol3 ) ==> zero }.
% 0.87/1.27 parent0: (2079) {G0,W7,D4,L1,V0,M1} { meet( composition( skol1, skol2 ),
% 0.87/1.27 skol3 ) = zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (17) {G0,W8,D5,L1,V0,M1} I { ! meet( skol2, composition(
% 0.87/1.27 converse( skol1 ), skol3 ) ) ==> zero }.
% 0.87/1.27 parent0: (2080) {G0,W8,D5,L1,V0,M1} { ! meet( skol2, composition( converse
% 0.87/1.27 ( skol1 ), skol3 ) ) = zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2205) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2206) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 parent1[0; 2]: (2205) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.87/1.27 ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := complement( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2209) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (2206) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 0.87/1.27 ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent0: (2209) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2211) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.87/1.27 , join( Y, Z ) ) }.
% 0.87/1.27 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.27 join( X, Y ), Z ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2214) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.87/1.27 ) ==> join( X, top ) }.
% 0.87/1.27 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 9]: (2211) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.87/1.27 join( X, join( Y, Z ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := complement( Y )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.27 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.27 parent0: (2214) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.87/1.27 ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2218) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.27 ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2220) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 0.87/1.27 join( X, Y ) ), X ), Y ) }.
% 0.87/1.27 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.27 join( X, Y ), Z ) }.
% 0.87/1.27 parent1[0; 2]: (2218) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.87/1.27 , X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := complement( join( X, Y ) )
% 0.87/1.27 Y := X
% 0.87/1.27 Z := Y
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := join( X, Y )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2221) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y )
% 0.87/1.27 ), X ), Y ) ==> top }.
% 0.87/1.27 parent0[0]: (2220) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 0.87/1.27 join( X, Y ) ), X ), Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (22) {G2,W10,D6,L1,V2,M1} P(18,1) { join( join( complement(
% 0.87/1.27 join( X, Y ) ), X ), Y ) ==> top }.
% 0.87/1.27 parent0: (2221) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 0.87/1.27 ) ), X ), Y ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2222) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.27 ), complement( Y ) ) }.
% 0.87/1.27 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.27 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2225) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.87/1.27 ), complement( Y ) ) }.
% 0.87/1.27 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 parent1[0; 5]: (2222) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.27 ( X, Y ), complement( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2238) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.87/1.27 ) ==> join( X, top ) }.
% 0.87/1.27 parent0[0]: (2225) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.87/1.27 , X ), complement( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (27) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.87/1.27 complement( Y ) ) ==> join( X, top ) }.
% 0.87/1.27 parent0: (2238) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.87/1.27 ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2240) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.27 ), complement( Y ) ) }.
% 0.87/1.27 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.27 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2241) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.27 complement( complement( X ) ) ) }.
% 0.87/1.27 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 5]: (2240) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.27 ( X, Y ), complement( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := complement( X )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2242) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.87/1.27 ) ) ) ==> join( X, top ) }.
% 0.87/1.27 parent0[0]: (2241) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.27 complement( complement( X ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (28) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.87/1.27 complement( X ) ) ) ==> join( X, top ) }.
% 0.87/1.27 parent0: (2242) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.87/1.27 ) ) ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2245) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.87/1.27 join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.27 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.87/1.27 Y ) ) ) ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.27 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.27 parent0: (2245) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.87/1.27 join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2247) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.27 complement( complement( X ) ) ) }.
% 0.87/1.27 parent0[0]: (28) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.87/1.27 complement( X ) ) ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2249) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 0.87/1.27 ( complement( X ) ), top ) }.
% 0.87/1.27 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 parent1[0; 4]: (2247) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.27 complement( complement( X ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := top
% 0.87/1.27 Y := complement( complement( X ) )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2255) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.87/1.27 top ) ==> join( X, top ) }.
% 0.87/1.27 parent0[0]: (2249) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.87/1.27 complement( complement( X ) ), top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (30) {G3,W9,D5,L1,V1,M1} P(28,0) { join( complement(
% 0.87/1.27 complement( X ) ), top ) ==> join( X, top ) }.
% 0.87/1.27 parent0: (2255) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 0.87/1.27 , top ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2257) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.87/1.27 composition( converse( X ), converse( Y ) ) }.
% 0.87/1.27 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.87/1.27 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2259) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.87/1.27 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.27 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.27 parent1[0; 9]: (2257) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.87/1.27 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := converse( X )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (38) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.87/1.27 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.27 parent0: (2259) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 0.87/1.27 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2262) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2264) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.27 complement( Y ), complement( X ) ) ) }.
% 0.87/1.27 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.27 parent1[0; 5]: (2262) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.27 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := complement( X )
% 0.87/1.27 Y := complement( Y )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2266) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.87/1.27 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 parent1[0; 4]: (2264) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.27 join( complement( Y ), complement( X ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (46) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.87/1.27 , Y ) }.
% 0.87/1.27 parent0: (2266) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2268) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2271) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.87/1.27 complement( top ) }.
% 0.87/1.27 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 6]: (2268) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.27 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := complement( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := complement( X )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2272) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.87/1.27 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent1[0; 1]: (2271) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.87/1.27 complement( top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2273) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.87/1.27 parent0[0]: (2272) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent0: (2273) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2275) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2277) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 0.87/1.27 ( complement( X ), zero ) ) }.
% 0.87/1.27 parent0[0]: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent1[0; 8]: (2275) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.27 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := top
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2279) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.87/1.27 zero ) ) ==> meet( X, top ) }.
% 0.87/1.27 parent0[0]: (2277) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.87/1.27 join( complement( X ), zero ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (50) {G2,W9,D5,L1,V1,M1} P(48,3) { complement( join(
% 0.87/1.27 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.27 parent0: (2279) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.87/1.27 zero ) ) ==> meet( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2281) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.27 ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2282) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.87/1.27 parent0[0]: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent1[0; 3]: (2281) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 0.87/1.27 , X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := top
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2283) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.87/1.27 parent0[0]: (2282) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (55) {G2,W5,D3,L1,V0,M1} P(48,18) { join( zero, top ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent0: (2283) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2285) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.87/1.27 , join( Y, Z ) ) }.
% 0.87/1.27 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.87/1.27 join( X, Y ), Z ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2287) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.87/1.27 join( X, top ) }.
% 0.87/1.27 parent0[0]: (55) {G2,W5,D3,L1,V0,M1} P(48,18) { join( zero, top ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 8]: (2285) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.87/1.27 join( X, join( Y, Z ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := zero
% 0.87/1.27 Z := top
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top
% 0.87/1.27 ) ==> join( X, top ) }.
% 0.87/1.27 parent0: (2287) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 0.87/1.27 join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2290) {G0,W8,D5,L1,V0,M1} { ! zero ==> meet( skol2, composition(
% 0.87/1.27 converse( skol1 ), skol3 ) ) }.
% 0.87/1.27 parent0[0]: (17) {G0,W8,D5,L1,V0,M1} I { ! meet( skol2, composition(
% 0.87/1.27 converse( skol1 ), skol3 ) ) ==> zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2291) {G1,W8,D5,L1,V0,M1} { ! zero ==> meet( composition(
% 0.87/1.27 converse( skol1 ), skol3 ), skol2 ) }.
% 0.87/1.27 parent0[0]: (46) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.87/1.27 Y ) }.
% 0.87/1.27 parent1[0; 3]: (2290) {G0,W8,D5,L1,V0,M1} { ! zero ==> meet( skol2,
% 0.87/1.27 composition( converse( skol1 ), skol3 ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := composition( converse( skol1 ), skol3 )
% 0.87/1.27 Y := skol2
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2294) {G1,W8,D5,L1,V0,M1} { ! meet( composition( converse( skol1
% 0.87/1.27 ), skol3 ), skol2 ) ==> zero }.
% 0.87/1.27 parent0[0]: (2291) {G1,W8,D5,L1,V0,M1} { ! zero ==> meet( composition(
% 0.87/1.27 converse( skol1 ), skol3 ), skol2 ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (61) {G2,W8,D5,L1,V0,M1} P(46,17) { ! meet( composition(
% 0.87/1.27 converse( skol1 ), skol3 ), skol2 ) ==> zero }.
% 0.87/1.27 parent0: (2294) {G1,W8,D5,L1,V0,M1} { ! meet( composition( converse( skol1
% 0.87/1.27 ), skol3 ), skol2 ) ==> zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2295) {G0,W7,D4,L1,V0,M1} { zero ==> meet( composition( skol1,
% 0.87/1.27 skol2 ), skol3 ) }.
% 0.87/1.27 parent0[0]: (16) {G0,W7,D4,L1,V0,M1} I { meet( composition( skol1, skol2 )
% 0.87/1.27 , skol3 ) ==> zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2296) {G1,W7,D4,L1,V0,M1} { zero ==> meet( skol3, composition(
% 0.87/1.27 skol1, skol2 ) ) }.
% 0.87/1.27 parent0[0]: (46) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.87/1.27 Y ) }.
% 0.87/1.27 parent1[0; 2]: (2295) {G0,W7,D4,L1,V0,M1} { zero ==> meet( composition(
% 0.87/1.27 skol1, skol2 ), skol3 ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := skol3
% 0.87/1.27 Y := composition( skol1, skol2 )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2299) {G1,W7,D4,L1,V0,M1} { meet( skol3, composition( skol1,
% 0.87/1.27 skol2 ) ) ==> zero }.
% 0.87/1.27 parent0[0]: (2296) {G1,W7,D4,L1,V0,M1} { zero ==> meet( skol3, composition
% 0.87/1.27 ( skol1, skol2 ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (62) {G2,W7,D4,L1,V0,M1} P(46,16) { meet( skol3, composition(
% 0.87/1.27 skol1, skol2 ) ) ==> zero }.
% 0.87/1.27 parent0: (2299) {G1,W7,D4,L1,V0,M1} { meet( skol3, composition( skol1,
% 0.87/1.27 skol2 ) ) ==> zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2301) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.87/1.27 converse( X ), converse( Y ) ) }.
% 0.87/1.27 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.87/1.27 ) ==> converse( join( X, Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2302) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.87/1.27 ) ==> join( X, converse( Y ) ) }.
% 0.87/1.27 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.27 parent1[0; 7]: (2301) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.87/1.27 join( converse( X ), converse( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := converse( X )
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (74) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.87/1.27 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.87/1.27 parent0: (2302) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 0.87/1.27 ) ==> join( X, converse( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2307) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.27 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.27 complement( Y ) ) }.
% 0.87/1.27 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.87/1.27 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.87/1.27 Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2309) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.87/1.27 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent1[0; 11]: (2307) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.27 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.27 complement( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := top
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2310) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.87/1.27 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.87/1.27 parent0[0]: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent1[0; 1]: (2309) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 0.87/1.27 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2312) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.87/1.27 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.27 parent0[0]: (2310) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 0.87/1.27 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (88) {G2,W11,D6,L1,V1,M1} P(48,10) { join( composition(
% 0.87/1.27 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.27 parent0: (2312) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 0.87/1.27 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2315) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.87/1.27 ), complement( Y ) ) }.
% 0.87/1.27 parent0[0]: (21) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.87/1.27 complement( X ) ) ==> join( Y, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2317) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 0.87/1.27 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 0.87/1.27 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 0.87/1.27 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 0.87/1.27 converse( X ), Z ) ) ) ) ) }.
% 0.87/1.27 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.87/1.27 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.27 ) ) ) }.
% 0.87/1.27 parent1[0; 9]: (2315) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.87/1.27 ( X, Y ), complement( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := meet( composition( X, Y ), Z )
% 0.87/1.27 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2318) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.87/1.27 , top ) ==> top }.
% 0.87/1.27 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 8]: (2317) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y
% 0.87/1.27 ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse(
% 0.87/1.27 Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 0.87/1.27 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (119) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet(
% 0.87/1.27 composition( X, Y ), Z ), top ) ==> top }.
% 0.87/1.27 parent0: (2318) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z )
% 0.87/1.27 , top ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2321) {G0,W33,D7,L1,V3,M1} { composition( meet( X, composition( Z
% 0.87/1.27 , converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ==>
% 0.87/1.27 join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 0.87/1.27 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) }.
% 0.87/1.27 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 0.87/1.27 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.27 ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2325) {G1,W36,D7,L1,V3,M1} { composition( meet( converse( X ),
% 0.87/1.27 composition( Y, converse( Z ) ) ), meet( Z, composition( converse(
% 0.87/1.27 converse( X ) ), Y ) ) ) ==> join( meet( composition( converse( X ), Z )
% 0.87/1.27 , Y ), composition( meet( converse( X ), composition( Y, converse( Z ) )
% 0.87/1.27 ), meet( Z, composition( X, Y ) ) ) ) }.
% 0.87/1.27 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.27 parent1[0; 34]: (2321) {G0,W33,D7,L1,V3,M1} { composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.27 ) ) ) ==> join( meet( composition( X, Y ), Z ), composition( meet( X,
% 0.87/1.27 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 0.87/1.27 ) ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := converse( X )
% 0.87/1.27 Y := Z
% 0.87/1.27 Z := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2326) {G1,W34,D7,L1,V3,M1} { composition( meet( converse( X ),
% 0.87/1.27 composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ==>
% 0.87/1.27 join( meet( composition( converse( X ), Z ), Y ), composition( meet(
% 0.87/1.27 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.87/1.27 , Y ) ) ) ) }.
% 0.87/1.27 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.27 parent1[0; 12]: (2325) {G1,W36,D7,L1,V3,M1} { composition( meet( converse
% 0.87/1.27 ( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( converse
% 0.87/1.27 ( converse( X ) ), Y ) ) ) ==> join( meet( composition( converse( X ), Z
% 0.87/1.27 ), Y ), composition( meet( converse( X ), composition( Y, converse( Z )
% 0.87/1.27 ) ), meet( Z, composition( X, Y ) ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2332) {G1,W34,D7,L1,V3,M1} { join( meet( composition( converse( X
% 0.87/1.27 ), Z ), Y ), composition( meet( converse( X ), composition( Y, converse
% 0.87/1.27 ( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ==> composition( meet(
% 0.87/1.27 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.87/1.27 , Y ) ) ) }.
% 0.87/1.27 parent0[0]: (2326) {G1,W34,D7,L1,V3,M1} { composition( meet( converse( X )
% 0.87/1.27 , composition( Y, converse( Z ) ) ), meet( Z, composition( X, Y ) ) ) ==>
% 0.87/1.27 join( meet( composition( converse( X ), Z ), Y ), composition( meet(
% 0.87/1.27 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.87/1.27 , Y ) ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (125) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition(
% 0.87/1.27 converse( X ), Y ), Z ), composition( meet( converse( X ), composition( Z
% 0.87/1.27 , converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ==> composition(
% 0.87/1.27 meet( converse( X ), composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.27 composition( X, Z ) ) ) }.
% 0.87/1.27 parent0: (2332) {G1,W34,D7,L1,V3,M1} { join( meet( composition( converse(
% 0.87/1.27 X ), Z ), Y ), composition( meet( converse( X ), composition( Y, converse
% 0.87/1.27 ( Z ) ) ), meet( Z, composition( X, Y ) ) ) ) ==> composition( meet(
% 0.87/1.27 converse( X ), composition( Y, converse( Z ) ) ), meet( Z, composition( X
% 0.87/1.27 , Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Z
% 0.87/1.27 Z := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2335) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X, Y
% 0.87/1.27 ), Z ), top ) }.
% 0.87/1.27 parent0[0]: (119) {G2,W9,D5,L1,V3,M1} P(13,21);d(11) { join( meet(
% 0.87/1.27 composition( X, Y ), Z ), top ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2336) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.27 parent1[0; 4]: (2335) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 0.87/1.27 composition( X, Y ), Z ), top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := one
% 0.87/1.27 Z := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2337) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top }.
% 0.87/1.27 parent0[0]: (2336) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (134) {G3,W7,D4,L1,V2,M1} P(5,119) { join( meet( X, Y ), top )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent0: (2337) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2339) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 0.87/1.27 ), complement( X ) ) }.
% 0.87/1.27 parent0[0]: (27) {G2,W10,D4,L1,V2,M1} P(0,21) { join( join( Y, X ),
% 0.87/1.27 complement( Y ) ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := Y
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2341) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.87/1.27 complement( meet( X, Y ) ) ) }.
% 0.87/1.27 parent0[0]: (134) {G3,W7,D4,L1,V2,M1} P(5,119) { join( meet( X, Y ), top )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent1[0; 5]: (2339) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.87/1.27 ( X, Y ), complement( X ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := meet( X, Y )
% 0.87/1.27 Y := top
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2343) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.87/1.27 ) ) ==> join( top, top ) }.
% 0.87/1.27 parent0[0]: (2341) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 0.87/1.27 complement( meet( X, Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (136) {G4,W10,D5,L1,V2,M1} P(134,27) { join( top, complement(
% 0.87/1.27 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.87/1.27 parent0: (2343) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 0.87/1.27 ) ) ==> join( top, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2345) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.87/1.27 complement( complement( X ) ) ) }.
% 0.87/1.27 parent0[0]: (28) {G2,W9,D5,L1,V1,M1} P(11,21) { join( top, complement(
% 0.87/1.27 complement( X ) ) ) ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2348) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.87/1.27 , top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.87/1.27 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(48,3) { complement( join( complement
% 0.87/1.27 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.27 parent1[0; 10]: (2345) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 0.87/1.27 , complement( complement( X ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := join( complement( X ), zero )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2349) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero )
% 0.87/1.27 , top ) ==> join( top, top ) }.
% 0.87/1.27 parent0[0]: (136) {G4,W10,D5,L1,V2,M1} P(134,27) { join( top, complement(
% 0.87/1.27 meet( X, Y ) ) ) ==> join( top, top ) }.
% 0.87/1.27 parent1[0; 7]: (2348) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ),
% 0.87/1.27 zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := top
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2350) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.87/1.27 join( top, top ) }.
% 0.87/1.27 parent0[0]: (58) {G3,W9,D4,L1,V1,M1} P(55,1) { join( join( X, zero ), top )
% 0.87/1.27 ==> join( X, top ) }.
% 0.87/1.27 parent1[0; 1]: (2349) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ),
% 0.87/1.27 zero ), top ) ==> join( top, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := complement( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (169) {G5,W8,D4,L1,V1,M1} P(50,28);d(136);d(58) { join(
% 0.87/1.27 complement( X ), top ) ==> join( top, top ) }.
% 0.87/1.27 parent0: (2350) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.87/1.27 join( top, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2353) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.87/1.27 ( X ), top ) }.
% 0.87/1.27 parent0[0]: (169) {G5,W8,D4,L1,V1,M1} P(50,28);d(136);d(58) { join(
% 0.87/1.27 complement( X ), top ) ==> join( top, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2355) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X,
% 0.87/1.27 top ), top ) }.
% 0.87/1.27 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(48,3) { complement( join( complement
% 0.87/1.27 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.27 parent1[0; 5]: (2353) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.87/1.27 complement( X ), top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := join( complement( X ), zero )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2356) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.87/1.27 parent0[0]: (134) {G3,W7,D4,L1,V2,M1} P(5,119) { join( meet( X, Y ), top )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent1[0; 4]: (2355) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.87/1.27 meet( X, top ), top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := top
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (174) {G6,W5,D3,L1,V0,M1} P(50,169);d(134) { join( top, top )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent0: (2356) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2358) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join( complement
% 0.87/1.27 ( X ), top ) }.
% 0.87/1.27 parent0[0]: (169) {G5,W8,D4,L1,V1,M1} P(50,28);d(136);d(58) { join(
% 0.87/1.27 complement( X ), top ) ==> join( top, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2361) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (30) {G3,W9,D5,L1,V1,M1} P(28,0) { join( complement( complement
% 0.87/1.27 ( X ) ), top ) ==> join( X, top ) }.
% 0.87/1.27 parent1[0; 4]: (2358) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 0.87/1.27 complement( X ), top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := complement( X )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2362) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.87/1.27 parent0[0]: (174) {G6,W5,D3,L1,V0,M1} P(50,169);d(134) { join( top, top )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent1[0; 1]: (2361) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.87/1.27 top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2363) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.87/1.27 parent0[0]: (2362) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (177) {G7,W5,D3,L1,V1,M1} P(169,30);d(174) { join( X, top )
% 0.87/1.27 ==> top }.
% 0.87/1.27 parent0: (2363) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2365) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.87/1.27 converse( join( converse( X ), Y ) ) }.
% 0.87/1.27 parent0[0]: (74) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.87/1.27 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2366) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.87/1.27 converse( top ) }.
% 0.87/1.27 parent0[0]: (177) {G7,W5,D3,L1,V1,M1} P(169,30);d(174) { join( X, top ) ==>
% 0.87/1.27 top }.
% 0.87/1.27 parent1[0; 6]: (2365) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.87/1.27 converse( join( converse( X ), Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := converse( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := top
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (215) {G8,W7,D4,L1,V1,M1} P(177,74) { join( X, converse( top )
% 0.87/1.27 ) ==> converse( top ) }.
% 0.87/1.27 parent0: (2366) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.87/1.27 converse( top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2368) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X, converse
% 0.87/1.27 ( top ) ) }.
% 0.87/1.27 parent0[0]: (215) {G8,W7,D4,L1,V1,M1} P(177,74) { join( X, converse( top )
% 0.87/1.27 ) ==> converse( top ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2370) {G3,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.87/1.27 parent0[0]: (22) {G2,W10,D6,L1,V2,M1} P(18,1) { join( join( complement(
% 0.87/1.27 join( X, Y ) ), X ), Y ) ==> top }.
% 0.87/1.27 parent1[0; 3]: (2368) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 0.87/1.27 converse( top ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := converse( top )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := join( complement( join( X, converse( top ) ) ), X )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (220) {G9,W4,D3,L1,V0,M1} P(215,22) { converse( top ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent0: (2370) {G3,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2373) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.87/1.27 converse( composition( converse( X ), Y ) ) }.
% 0.87/1.27 parent0[0]: (38) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.87/1.27 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2376) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.87/1.27 ==> converse( converse( X ) ) }.
% 0.87/1.27 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.27 parent1[0; 6]: (2373) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.87/1.27 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := converse( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := one
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2377) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.87/1.27 ==> X }.
% 0.87/1.27 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.87/1.27 parent1[0; 5]: (2376) {G1,W8,D4,L1,V1,M1} { composition( converse( one ),
% 0.87/1.27 X ) ==> converse( converse( X ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (273) {G2,W6,D4,L1,V1,M1} P(5,38);d(7) { composition( converse
% 0.87/1.27 ( one ), X ) ==> X }.
% 0.87/1.27 parent0: (2377) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 0.87/1.27 ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2379) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.87/1.27 ) }.
% 0.87/1.27 parent0[0]: (273) {G2,W6,D4,L1,V1,M1} P(5,38);d(7) { composition( converse
% 0.87/1.27 ( one ), X ) ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2381) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.87/1.27 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.87/1.27 parent1[0; 2]: (2379) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.87/1.27 one ), X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := converse( one )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := one
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2382) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.87/1.27 parent0[0]: (2381) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (279) {G3,W4,D3,L1,V0,M1} P(273,5) { converse( one ) ==> one
% 0.87/1.27 }.
% 0.87/1.27 parent0: (2382) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2384) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.87/1.27 ) }.
% 0.87/1.27 parent0[0]: (273) {G2,W6,D4,L1,V1,M1} P(5,38);d(7) { composition( converse
% 0.87/1.27 ( one ), X ) ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2385) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.87/1.27 parent0[0]: (279) {G3,W4,D3,L1,V0,M1} P(273,5) { converse( one ) ==> one
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 3]: (2384) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.87/1.27 one ), X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2386) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.87/1.27 parent0[0]: (2385) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (280) {G4,W5,D3,L1,V1,M1} P(279,273) { composition( one, X )
% 0.87/1.27 ==> X }.
% 0.87/1.27 parent0: (2386) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2388) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.27 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.27 complement( Y ) ) }.
% 0.87/1.27 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.87/1.27 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.87/1.27 Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2390) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.27 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.87/1.27 parent0[0]: (280) {G4,W5,D3,L1,V1,M1} P(279,273) { composition( one, X )
% 0.87/1.27 ==> X }.
% 0.87/1.27 parent1[0; 8]: (2388) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.87/1.27 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.87/1.27 complement( Y ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := one
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2391) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.87/1.27 ( X ), complement( X ) ) }.
% 0.87/1.27 parent0[0]: (273) {G2,W6,D4,L1,V1,M1} P(5,38);d(7) { composition( converse
% 0.87/1.27 ( one ), X ) ==> X }.
% 0.87/1.27 parent1[0; 4]: (2390) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.27 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := complement( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2392) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.87/1.27 ) ) ==> complement( X ) }.
% 0.87/1.27 parent0[0]: (2391) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.27 complement( X ), complement( X ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (285) {G5,W8,D4,L1,V1,M1} P(280,10);d(273) { join( complement
% 0.87/1.27 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.87/1.27 parent0: (2392) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.87/1.27 ) ) ==> complement( X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2394) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.87/1.27 complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.27 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2409) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.87/1.27 complement( X ) ) }.
% 0.87/1.27 parent0[0]: (285) {G5,W8,D4,L1,V1,M1} P(280,10);d(273) { join( complement(
% 0.87/1.27 X ), complement( X ) ) ==> complement( X ) }.
% 0.87/1.27 parent1[0; 5]: (2394) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.87/1.27 join( complement( X ), complement( Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2410) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.27 meet( X, X ) }.
% 0.87/1.27 parent0[0]: (2409) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.87/1.27 complement( X ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (294) {G6,W7,D4,L1,V1,M1} P(285,3) { complement( complement( X
% 0.87/1.27 ) ) = meet( X, X ) }.
% 0.87/1.27 parent0: (2410) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.27 meet( X, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2412) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.27 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.27 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.27 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2415) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 0.87/1.27 ) ), complement( converse( top ) ) ) }.
% 0.87/1.27 parent0[0]: (215) {G8,W7,D4,L1,V1,M1} P(177,74) { join( X, converse( top )
% 0.87/1.27 ) ==> converse( top ) }.
% 0.87/1.27 parent1[0; 8]: (2412) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.27 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := complement( X )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 Y := converse( top )
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2417) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.87/1.27 ), complement( top ) ) }.
% 0.87/1.27 parent0[0]: (220) {G9,W4,D3,L1,V0,M1} P(215,22) { converse( top ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 8]: (2415) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.87/1.27 ( top ) ), complement( converse( top ) ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2418) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.87/1.27 complement( top ) ) }.
% 0.87/1.27 parent0[0]: (220) {G9,W4,D3,L1,V0,M1} P(215,22) { converse( top ) ==> top
% 0.87/1.27 }.
% 0.87/1.27 parent1[0; 5]: (2417) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.87/1.27 ( top ) ), complement( top ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 paramod: (2421) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.27 zero }.
% 0.87/1.27 parent1[0; 6]: (2418) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.87/1.27 complement( top ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2422) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.87/1.27 }.
% 0.87/1.27 parent0[0]: (2421) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.87/1.27 ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (304) {G10,W7,D4,L1,V1,M1} P(215,29);d(220);d(48) { join( meet
% 0.87/1.28 ( X, top ), zero ) ==> X }.
% 0.87/1.28 parent0: (2422) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2424) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.28 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.28 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.28 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 Y := Y
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2426) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.87/1.28 ( top ) ) }.
% 0.87/1.28 parent0[0]: (18) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.87/1.28 ==> top }.
% 0.87/1.28 parent1[0; 7]: (2424) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.28 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 Y := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2427) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.87/1.28 parent0[0]: (48) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.87/1.28 zero }.
% 0.87/1.28 parent1[0; 6]: (2426) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.87/1.28 complement( top ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2428) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.87/1.28 parent0[0]: (2427) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (321) {G2,W7,D4,L1,V1,M1} P(18,29);d(48) { join( meet( X, X )
% 0.87/1.28 , zero ) ==> X }.
% 0.87/1.28 parent0: (2428) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2430) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.87/1.28 ( join( complement( X ), Y ) ) ) }.
% 0.87/1.28 parent0[0]: (29) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.87/1.28 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 Y := Y
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2432) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 0.87/1.28 ( complement( X ), complement( X ) ) ) ) }.
% 0.87/1.28 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.87/1.28 zero }.
% 0.87/1.28 parent1[0; 3]: (2430) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.87/1.28 complement( join( complement( X ), Y ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 Y := complement( X )
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2433) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 0.87/1.28 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.87/1.28 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.87/1.28 parent1[0; 4]: (2432) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 0.87/1.28 ( join( complement( X ), complement( X ) ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 Y := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2434) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.87/1.28 parent0[0]: (2433) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (326) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X
% 0.87/1.28 , X ) ) ==> X }.
% 0.87/1.28 parent0: (2434) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2435) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.87/1.28 }.
% 0.87/1.28 parent0[0]: (304) {G10,W7,D4,L1,V1,M1} P(215,29);d(220);d(48) { join( meet
% 0.87/1.28 ( X, top ), zero ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2436) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.87/1.28 }.
% 0.87/1.28 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.87/1.28 parent1[0; 2]: (2435) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.87/1.28 zero ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := meet( X, top )
% 0.87/1.28 Y := zero
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2439) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 parent0[0]: (2436) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top )
% 0.87/1.28 ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (334) {G11,W7,D4,L1,V1,M1} P(304,0) { join( zero, meet( X, top
% 0.87/1.28 ) ) ==> X }.
% 0.87/1.28 parent0: (2439) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2441) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.87/1.28 complement( X ), zero ) ) }.
% 0.87/1.28 parent0[0]: (50) {G2,W9,D5,L1,V1,M1} P(48,3) { complement( join( complement
% 0.87/1.28 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2446) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.87/1.28 complement( join( meet( X, X ), zero ) ) }.
% 0.87/1.28 parent0[0]: (294) {G6,W7,D4,L1,V1,M1} P(285,3) { complement( complement( X
% 0.87/1.28 ) ) = meet( X, X ) }.
% 0.87/1.28 parent1[0; 7]: (2441) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.87/1.28 ( join( complement( X ), zero ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := complement( X )
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2447) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.87/1.28 complement( X ) }.
% 0.87/1.28 parent0[0]: (321) {G2,W7,D4,L1,V1,M1} P(18,29);d(48) { join( meet( X, X ),
% 0.87/1.28 zero ) ==> X }.
% 0.87/1.28 parent1[0; 6]: (2446) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top )
% 0.87/1.28 ==> complement( join( meet( X, X ), zero ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (360) {G7,W7,D4,L1,V1,M1} P(294,50);d(321) { meet( complement
% 0.87/1.28 ( X ), top ) ==> complement( X ) }.
% 0.87/1.28 parent0: (2447) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.87/1.28 complement( X ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2450) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.87/1.28 }.
% 0.87/1.28 parent0[0]: (334) {G11,W7,D4,L1,V1,M1} P(304,0) { join( zero, meet( X, top
% 0.87/1.28 ) ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2451) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.28 complement( X ) ) }.
% 0.87/1.28 parent0[0]: (360) {G7,W7,D4,L1,V1,M1} P(294,50);d(321) { meet( complement(
% 0.87/1.28 X ), top ) ==> complement( X ) }.
% 0.87/1.28 parent1[0; 5]: (2450) {G11,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X,
% 0.87/1.28 top ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := complement( X )
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2452) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.87/1.28 complement( X ) }.
% 0.87/1.28 parent0[0]: (2451) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.28 complement( X ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (373) {G12,W7,D4,L1,V1,M1} P(360,334) { join( zero, complement
% 0.87/1.28 ( X ) ) ==> complement( X ) }.
% 0.87/1.28 parent0: (2452) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.87/1.28 complement( X ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2454) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.87/1.28 complement( X ) ) }.
% 0.87/1.28 parent0[0]: (373) {G12,W7,D4,L1,V1,M1} P(360,334) { join( zero, complement
% 0.87/1.28 ( X ) ) ==> complement( X ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2457) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.87/1.28 join( zero, meet( X, X ) ) }.
% 0.87/1.28 parent0[0]: (294) {G6,W7,D4,L1,V1,M1} P(285,3) { complement( complement( X
% 0.87/1.28 ) ) = meet( X, X ) }.
% 0.87/1.28 parent1[0; 6]: (2454) {G12,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.87/1.28 zero, complement( X ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := complement( X )
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2458) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet( X
% 0.87/1.28 , X ) ) }.
% 0.87/1.28 parent0[0]: (294) {G6,W7,D4,L1,V1,M1} P(285,3) { complement( complement( X
% 0.87/1.28 ) ) = meet( X, X ) }.
% 0.87/1.28 parent1[0; 1]: (2457) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 0.87/1.28 ==> join( zero, meet( X, X ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2461) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.87/1.28 parent0[0]: (326) {G2,W7,D4,L1,V1,M1} P(12,29);d(3) { join( zero, meet( X,
% 0.87/1.28 X ) ) ==> X }.
% 0.87/1.28 parent1[0; 4]: (2458) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 0.87/1.28 meet( X, X ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (378) {G13,W5,D3,L1,V1,M1} P(294,373);d(326) { meet( X, X )
% 0.87/1.28 ==> X }.
% 0.87/1.28 parent0: (2461) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2464) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.87/1.28 parent0[0]: (321) {G2,W7,D4,L1,V1,M1} P(18,29);d(48) { join( meet( X, X ),
% 0.87/1.28 zero ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2465) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.87/1.28 parent0[0]: (378) {G13,W5,D3,L1,V1,M1} P(294,373);d(326) { meet( X, X ) ==>
% 0.87/1.28 X }.
% 0.87/1.28 parent1[0; 3]: (2464) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero
% 0.87/1.28 ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2466) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.87/1.28 parent0[0]: (2465) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (387) {G14,W5,D3,L1,V1,M1} P(378,321) { join( X, zero ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 parent0: (2466) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2469) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.87/1.28 complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.28 parent0[0]: (387) {G14,W5,D3,L1,V1,M1} P(378,321) { join( X, zero ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 parent1[0; 1]: (88) {G2,W11,D6,L1,V1,M1} P(48,10) { join( composition(
% 0.87/1.28 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := composition( converse( X ), complement( composition( X, top ) ) )
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (950) {G15,W9,D5,L1,V1,M1} S(88);d(387) { composition(
% 0.87/1.28 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.28 parent0: (2469) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 0.87/1.28 complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2472) {G15,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 0.87/1.28 , complement( composition( X, top ) ) ) }.
% 0.87/1.28 parent0[0]: (950) {G15,W9,D5,L1,V1,M1} S(88);d(387) { composition( converse
% 0.87/1.28 ( X ), complement( composition( X, top ) ) ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2473) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.87/1.28 complement( composition( top, top ) ) ) }.
% 0.87/1.28 parent0[0]: (220) {G9,W4,D3,L1,V0,M1} P(215,22) { converse( top ) ==> top
% 0.87/1.28 }.
% 0.87/1.28 parent1[0; 3]: (2472) {G15,W9,D5,L1,V1,M1} { zero ==> composition(
% 0.87/1.28 converse( X ), complement( composition( X, top ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := top
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2474) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.87/1.28 composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent0[0]: (2473) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 0.87/1.28 complement( composition( top, top ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (962) {G16,W8,D5,L1,V0,M1} P(220,950) { composition( top,
% 0.87/1.28 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent0: (2474) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 0.87/1.28 composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2476) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 0.87/1.28 join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.87/1.28 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 0.87/1.28 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 Y := Z
% 0.87/1.28 Z := Y
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2481) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.28 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.87/1.28 complement( composition( top, top ) ) ), zero ) }.
% 0.87/1.28 parent0[0]: (962) {G16,W8,D5,L1,V0,M1} P(220,950) { composition( top,
% 0.87/1.28 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent1[0; 16]: (2476) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y
% 0.87/1.28 ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 Y := complement( composition( top, top ) )
% 0.87/1.28 Z := top
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2482) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.28 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.87/1.28 composition( top, top ) ) ) }.
% 0.87/1.28 parent0[0]: (387) {G14,W5,D3,L1,V1,M1} P(378,321) { join( X, zero ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 parent1[0; 9]: (2481) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.28 complement( composition( top, top ) ) ) ==> join( composition( X,
% 0.87/1.28 complement( composition( top, top ) ) ), zero ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := composition( X, complement( composition( top, top ) ) )
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2483) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 0.87/1.28 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 0.87/1.28 top, top ) ) ) }.
% 0.87/1.28 parent0[0]: (177) {G7,W5,D3,L1,V1,M1} P(169,30);d(174) { join( X, top ) ==>
% 0.87/1.28 top }.
% 0.87/1.28 parent1[0; 2]: (2482) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 0.87/1.28 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 0.87/1.28 composition( top, top ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2484) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 0.87/1.28 ( composition( top, top ) ) ) }.
% 0.87/1.28 parent0[0]: (962) {G16,W8,D5,L1,V0,M1} P(220,950) { composition( top,
% 0.87/1.28 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent1[0; 1]: (2483) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 0.87/1.28 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 0.87/1.28 ( top, top ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2485) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.87/1.28 composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent0[0]: (2484) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 0.87/1.28 complement( composition( top, top ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (967) {G17,W8,D5,L1,V1,M1} P(962,6);d(387);d(177);d(962) {
% 0.87/1.28 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent0: (2485) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 0.87/1.28 composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2487) {G0,W11,D4,L1,V3,M1} { composition( composition( X, Y ), Z
% 0.87/1.28 ) ==> composition( X, composition( Y, Z ) ) }.
% 0.87/1.28 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 0.87/1.28 ) ) ==> composition( composition( X, Y ), Z ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 Y := Y
% 0.87/1.28 Z := Z
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2490) {G1,W12,D5,L1,V1,M1} { composition( composition( X, top )
% 0.87/1.28 , complement( composition( top, top ) ) ) ==> composition( X, zero ) }.
% 0.87/1.28 parent0[0]: (962) {G16,W8,D5,L1,V0,M1} P(220,950) { composition( top,
% 0.87/1.28 complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent1[0; 11]: (2487) {G0,W11,D4,L1,V3,M1} { composition( composition( X
% 0.87/1.28 , Y ), Z ) ==> composition( X, composition( Y, Z ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 Y := top
% 0.87/1.28 Z := complement( composition( top, top ) )
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2491) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero ) }.
% 0.87/1.28 parent0[0]: (967) {G17,W8,D5,L1,V1,M1} P(962,6);d(387);d(177);d(962) {
% 0.87/1.28 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 0.87/1.28 parent1[0; 1]: (2490) {G1,W12,D5,L1,V1,M1} { composition( composition( X,
% 0.87/1.28 top ), complement( composition( top, top ) ) ) ==> composition( X, zero )
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := composition( X, top )
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2492) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.87/1.28 parent0[0]: (2491) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero )
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (968) {G18,W5,D3,L1,V1,M1} P(962,4);d(967) { composition( X,
% 0.87/1.28 zero ) ==> zero }.
% 0.87/1.28 parent0: (2492) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 0 ==> 0
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2494) {G1,W34,D7,L1,V3,M1} { composition( meet( converse( X ),
% 0.87/1.28 composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ==>
% 0.87/1.28 join( meet( composition( converse( X ), Y ), Z ), composition( meet(
% 0.87/1.28 converse( X ), composition( Z, converse( Y ) ) ), meet( Y, composition( X
% 0.87/1.28 , Z ) ) ) ) }.
% 0.87/1.28 parent0[0]: (125) {G1,W34,D7,L1,V3,M1} P(7,13) { join( meet( composition(
% 0.87/1.28 converse( X ), Y ), Z ), composition( meet( converse( X ), composition( Z
% 0.87/1.28 , converse( Y ) ) ), meet( Y, composition( X, Z ) ) ) ) ==> composition(
% 0.87/1.28 meet( converse( X ), composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.28 composition( X, Z ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := X
% 0.87/1.28 Y := Y
% 0.87/1.28 Z := Z
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 eqswap: (2497) {G2,W8,D5,L1,V0,M1} { ! zero ==> meet( composition(
% 0.87/1.28 converse( skol1 ), skol3 ), skol2 ) }.
% 0.87/1.28 parent0[0]: (61) {G2,W8,D5,L1,V0,M1} P(46,17) { ! meet( composition(
% 0.87/1.28 converse( skol1 ), skol3 ), skol2 ) ==> zero }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2499) {G2,W30,D7,L1,V0,M1} { composition( meet( converse( skol1
% 0.87/1.28 ), composition( skol2, converse( skol3 ) ) ), meet( skol3, composition(
% 0.87/1.28 skol1, skol2 ) ) ) ==> join( meet( composition( converse( skol1 ), skol3
% 0.87/1.28 ), skol2 ), composition( meet( converse( skol1 ), composition( skol2,
% 0.87/1.28 converse( skol3 ) ) ), zero ) ) }.
% 0.87/1.28 parent0[0]: (62) {G2,W7,D4,L1,V0,M1} P(46,16) { meet( skol3, composition(
% 0.87/1.28 skol1, skol2 ) ) ==> zero }.
% 0.87/1.28 parent1[0; 29]: (2494) {G1,W34,D7,L1,V3,M1} { composition( meet( converse
% 0.87/1.28 ( X ), composition( Z, converse( Y ) ) ), meet( Y, composition( X, Z ) )
% 0.87/1.28 ) ==> join( meet( composition( converse( X ), Y ), Z ), composition(
% 0.87/1.28 meet( converse( X ), composition( Z, converse( Y ) ) ), meet( Y,
% 0.87/1.28 composition( X, Z ) ) ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 X := skol1
% 0.87/1.28 Y := skol3
% 0.87/1.28 Z := skol2
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2500) {G3,W26,D7,L1,V0,M1} { composition( meet( converse( skol1
% 0.87/1.28 ), composition( skol2, converse( skol3 ) ) ), zero ) ==> join( meet(
% 0.87/1.28 composition( converse( skol1 ), skol3 ), skol2 ), composition( meet(
% 0.87/1.28 converse( skol1 ), composition( skol2, converse( skol3 ) ) ), zero ) )
% 0.87/1.28 }.
% 0.87/1.28 parent0[0]: (62) {G2,W7,D4,L1,V0,M1} P(46,16) { meet( skol3, composition(
% 0.87/1.28 skol1, skol2 ) ) ==> zero }.
% 0.87/1.28 parent1[0; 9]: (2499) {G2,W30,D7,L1,V0,M1} { composition( meet( converse(
% 0.87/1.28 skol1 ), composition( skol2, converse( skol3 ) ) ), meet( skol3,
% 0.87/1.28 composition( skol1, skol2 ) ) ) ==> join( meet( composition( converse(
% 0.87/1.28 skol1 ), skol3 ), skol2 ), composition( meet( converse( skol1 ),
% 0.87/1.28 composition( skol2, converse( skol3 ) ) ), zero ) ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2504) {G4,W18,D6,L1,V0,M1} { composition( meet( converse( skol1
% 0.87/1.28 ), composition( skol2, converse( skol3 ) ) ), zero ) ==> join( meet(
% 0.87/1.28 composition( converse( skol1 ), skol3 ), skol2 ), zero ) }.
% 0.87/1.28 parent0[0]: (968) {G18,W5,D3,L1,V1,M1} P(962,4);d(967) { composition( X,
% 0.87/1.28 zero ) ==> zero }.
% 0.87/1.28 parent1[0; 17]: (2500) {G3,W26,D7,L1,V0,M1} { composition( meet( converse
% 0.87/1.28 ( skol1 ), composition( skol2, converse( skol3 ) ) ), zero ) ==> join(
% 0.87/1.28 meet( composition( converse( skol1 ), skol3 ), skol2 ), composition( meet
% 0.87/1.28 ( converse( skol1 ), composition( skol2, converse( skol3 ) ) ), zero ) )
% 0.87/1.28 }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := meet( converse( skol1 ), composition( skol2, converse( skol3 ) ) )
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2505) {G5,W10,D6,L1,V0,M1} { zero ==> join( meet( composition(
% 0.87/1.28 converse( skol1 ), skol3 ), skol2 ), zero ) }.
% 0.87/1.28 parent0[0]: (968) {G18,W5,D3,L1,V1,M1} P(962,4);d(967) { composition( X,
% 0.87/1.28 zero ) ==> zero }.
% 0.87/1.28 parent1[0; 1]: (2504) {G4,W18,D6,L1,V0,M1} { composition( meet( converse(
% 0.87/1.28 skol1 ), composition( skol2, converse( skol3 ) ) ), zero ) ==> join( meet
% 0.87/1.28 ( composition( converse( skol1 ), skol3 ), skol2 ), zero ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := meet( converse( skol1 ), composition( skol2, converse( skol3 ) ) )
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 paramod: (2507) {G6,W8,D5,L1,V0,M1} { zero ==> meet( composition( converse
% 0.87/1.28 ( skol1 ), skol3 ), skol2 ) }.
% 0.87/1.28 parent0[0]: (387) {G14,W5,D3,L1,V1,M1} P(378,321) { join( X, zero ) ==> X
% 0.87/1.28 }.
% 0.87/1.28 parent1[0; 2]: (2505) {G5,W10,D6,L1,V0,M1} { zero ==> join( meet(
% 0.87/1.28 composition( converse( skol1 ), skol3 ), skol2 ), zero ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 X := meet( composition( converse( skol1 ), skol3 ), skol2 )
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 resolution: (2508) {G3,W0,D0,L0,V0,M0} { }.
% 0.87/1.28 parent0[0]: (2497) {G2,W8,D5,L1,V0,M1} { ! zero ==> meet( composition(
% 0.87/1.28 converse( skol1 ), skol3 ), skol2 ) }.
% 0.87/1.28 parent1[0]: (2507) {G6,W8,D5,L1,V0,M1} { zero ==> meet( composition(
% 0.87/1.28 converse( skol1 ), skol3 ), skol2 ) }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 substitution1:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 subsumption: (2061) {G19,W0,D0,L0,V0,M0} P(62,125);d(968);d(387);r(61) {
% 0.87/1.28 }.
% 0.87/1.28 parent0: (2508) {G3,W0,D0,L0,V0,M0} { }.
% 0.87/1.28 substitution0:
% 0.87/1.28 end
% 0.87/1.28 permutation0:
% 0.87/1.28 end
% 0.87/1.28
% 0.87/1.28 Proof check complete!
% 0.87/1.28
% 0.87/1.28 Memory use:
% 0.87/1.28
% 0.87/1.28 space for terms: 25552
% 0.87/1.28 space for clauses: 228325
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 clauses generated: 25656
% 0.87/1.28 clauses kept: 2062
% 0.87/1.28 clauses selected: 311
% 0.87/1.28 clauses deleted: 181
% 0.87/1.28 clauses inuse deleted: 71
% 0.87/1.28
% 0.87/1.28 subsentry: 2570
% 0.87/1.28 literals s-matched: 1285
% 0.87/1.28 literals matched: 1254
% 0.87/1.28 full subsumption: 0
% 0.87/1.28
% 0.87/1.28 checksum: -2008757486
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Bliksem ended
%------------------------------------------------------------------------------