TSTP Solution File: REL046+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL046+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 19:01:28 EDT 2022
% Result : Theorem 0.75s 1.13s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL046+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 8 10:32:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.13 *** allocated 10000 integers for termspace/termends
% 0.75/1.13 *** allocated 10000 integers for clauses
% 0.75/1.13 *** allocated 10000 integers for justifications
% 0.75/1.13 Bliksem 1.12
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Automatic Strategy Selection
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Clauses:
% 0.75/1.13
% 0.75/1.13 { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.75/1.13 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.75/1.13 complement( join( complement( X ), Y ) ) ) }.
% 0.75/1.13 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.75/1.13 , Z ) }.
% 0.75/1.13 { composition( X, one ) = X }.
% 0.75/1.13 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.75/1.13 Y, Z ) ) }.
% 0.75/1.13 { converse( converse( X ) ) = X }.
% 0.75/1.13 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.75/1.13 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.75/1.13 ) ) }.
% 0.75/1.13 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.75/1.13 complement( Y ) ) = complement( Y ) }.
% 0.75/1.13 { top = join( X, complement( X ) ) }.
% 0.75/1.13 { zero = meet( X, complement( X ) ) }.
% 0.75/1.13 { join( skol1, meet( skol2, skol3 ) ) = meet( skol2, skol3 ) }.
% 0.75/1.13 { ! join( skol1, skol2 ) = skol2, ! join( skol1, skol3 ) = skol3 }.
% 0.75/1.13
% 0.75/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.13 This is a pure equality problem
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Options Used:
% 0.75/1.13
% 0.75/1.13 useres = 1
% 0.75/1.13 useparamod = 1
% 0.75/1.13 useeqrefl = 1
% 0.75/1.13 useeqfact = 1
% 0.75/1.13 usefactor = 1
% 0.75/1.13 usesimpsplitting = 0
% 0.75/1.13 usesimpdemod = 5
% 0.75/1.13 usesimpres = 3
% 0.75/1.13
% 0.75/1.13 resimpinuse = 1000
% 0.75/1.13 resimpclauses = 20000
% 0.75/1.13 substype = eqrewr
% 0.75/1.13 backwardsubs = 1
% 0.75/1.13 selectoldest = 5
% 0.75/1.13
% 0.75/1.13 litorderings [0] = split
% 0.75/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.13
% 0.75/1.13 termordering = kbo
% 0.75/1.13
% 0.75/1.13 litapriori = 0
% 0.75/1.13 termapriori = 1
% 0.75/1.13 litaposteriori = 0
% 0.75/1.13 termaposteriori = 0
% 0.75/1.13 demodaposteriori = 0
% 0.75/1.13 ordereqreflfact = 0
% 0.75/1.13
% 0.75/1.13 litselect = negord
% 0.75/1.13
% 0.75/1.13 maxweight = 15
% 0.75/1.13 maxdepth = 30000
% 0.75/1.13 maxlength = 115
% 0.75/1.13 maxnrvars = 195
% 0.75/1.13 excuselevel = 1
% 0.75/1.13 increasemaxweight = 1
% 0.75/1.13
% 0.75/1.13 maxselected = 10000000
% 0.75/1.13 maxnrclauses = 10000000
% 0.75/1.13
% 0.75/1.13 showgenerated = 0
% 0.75/1.13 showkept = 0
% 0.75/1.13 showselected = 0
% 0.75/1.13 showdeleted = 0
% 0.75/1.13 showresimp = 1
% 0.75/1.13 showstatus = 2000
% 0.75/1.13
% 0.75/1.13 prologoutput = 0
% 0.75/1.13 nrgoals = 5000000
% 0.75/1.13 totalproof = 1
% 0.75/1.13
% 0.75/1.13 Symbols occurring in the translation:
% 0.75/1.13
% 0.75/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.13 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.75/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.13 join [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.13 complement [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.13 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.13 composition [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.13 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.13 converse [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.13 top [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.13 zero [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.13 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.75/1.13 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.75/1.13 skol3 [48, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Starting Search:
% 0.75/1.13
% 0.75/1.13 *** allocated 15000 integers for clauses
% 0.75/1.13 *** allocated 22500 integers for clauses
% 0.75/1.13 *** allocated 33750 integers for clauses
% 0.75/1.13 *** allocated 50625 integers for clauses
% 0.75/1.13 *** allocated 75937 integers for clauses
% 0.75/1.13
% 0.75/1.13 Bliksems!, er is een bewijs:
% 0.75/1.13 % SZS status Theorem
% 0.75/1.13 % SZS output start Refutation
% 0.75/1.13
% 0.75/1.13 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.75/1.13 , Z ) }.
% 0.75/1.13 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.75/1.13 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.13 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.75/1.13 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.75/1.13 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.75/1.13 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.75/1.13 ==> converse( composition( X, Y ) ) }.
% 0.75/1.13 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.75/1.13 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.75/1.13 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.75/1.13 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.75/1.13 (13) {G0,W9,D4,L1,V0,M1} I { join( skol1, meet( skol2, skol3 ) ) ==> meet(
% 0.75/1.13 skol2, skol3 ) }.
% 0.75/1.13 (14) {G0,W10,D3,L2,V0,M2} I { ! join( skol1, skol2 ) ==> skol2, ! join(
% 0.75/1.13 skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 (15) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.75/1.13 (16) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) = join( join( Y
% 0.75/1.13 , Z ), X ) }.
% 0.75/1.13 (17) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 0.75/1.13 join( Z, X ), Y ) }.
% 0.75/1.13 (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.75/1.13 ==> join( Y, top ) }.
% 0.75/1.13 (20) {G2,W10,D5,L1,V2,M1} P(15,1) { join( join( Y, complement( X ) ), X )
% 0.75/1.13 ==> join( Y, top ) }.
% 0.75/1.13 (22) {G1,W9,D4,L1,V0,M1} P(13,0) { join( meet( skol2, skol3 ), skol1 ) ==>
% 0.75/1.13 meet( skol2, skol3 ) }.
% 0.75/1.13 (23) {G2,W13,D5,L1,V1,M1} P(22,1) { join( join( X, meet( skol2, skol3 ) ),
% 0.75/1.13 skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.13 (24) {G1,W10,D3,L2,V0,M2} P(0,14) { ! join( skol2, skol1 ) ==> skol2, !
% 0.75/1.13 join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.75/1.13 ( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.13 (27) {G2,W10,D3,L2,V0,M2} P(0,24) { ! join( skol2, skol1 ) ==> skol2, !
% 0.75/1.13 join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.13 (28) {G2,W13,D5,L1,V2,M1} P(18,18) { join( join( X, top ), complement(
% 0.75/1.13 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.13 (30) {G2,W5,D3,L1,V0,M1} P(13,18);d(11) { join( skol1, top ) ==> top }.
% 0.75/1.13 (31) {G2,W14,D5,L1,V3,M1} P(1,18) { join( join( join( X, Y ), Z ),
% 0.75/1.13 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.75/1.13 (33) {G2,W10,D4,L1,V2,M1} P(0,18) { join( join( Y, X ), complement( Y ) )
% 0.75/1.13 ==> join( X, top ) }.
% 0.75/1.13 (40) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 0.75/1.13 (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.75/1.13 (43) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( zero, complement( X )
% 0.75/1.13 ) ) ==> meet( top, X ) }.
% 0.75/1.13 (44) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( complement( X ), zero
% 0.75/1.13 ) ) ==> meet( X, top ) }.
% 0.75/1.13 (45) {G2,W9,D4,L1,V1,M1} P(42,18) { join( join( X, top ), zero ) ==> join(
% 0.75/1.13 X, top ) }.
% 0.75/1.13 (46) {G2,W5,D3,L1,V0,M1} P(42,15) { join( zero, top ) ==> top }.
% 0.75/1.13 (84) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.75/1.13 ) ) ==> composition( converse( Y ), X ) }.
% 0.75/1.13 (120) {G2,W14,D5,L1,V3,M1} P(16,18) { join( join( join( Y, Z ), X ),
% 0.75/1.13 complement( Z ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.13 (133) {G3,W8,D4,L1,V0,M1} P(42,43) { complement( join( zero, zero ) ) ==>
% 0.75/1.13 meet( top, top ) }.
% 0.75/1.13 (143) {G4,W9,D5,L1,V0,M1} P(133,15);d(1) { join( join( meet( top, top ),
% 0.75/1.13 zero ), zero ) ==> top }.
% 0.75/1.13 (181) {G4,W12,D5,L1,V0,M1} P(133,44) { complement( join( meet( top, top ),
% 0.75/1.13 zero ) ) ==> meet( join( zero, zero ), top ) }.
% 0.75/1.13 (210) {G5,W9,D5,L1,V0,M1} P(143,33);d(181);d(46) { join( top, meet( join(
% 0.75/1.13 zero, zero ), top ) ) ==> top }.
% 0.75/1.13 (224) {G6,W9,D5,L1,V0,M1} P(210,33);d(11) { join( meet( join( zero, zero )
% 0.75/1.13 , top ), top ) ==> top }.
% 0.75/1.13 (241) {G2,W6,D4,L1,V1,M1} P(5,84);d(7) { composition( converse( one ), X )
% 0.75/1.13 ==> X }.
% 0.75/1.13 (247) {G3,W4,D3,L1,V0,M1} P(241,5) { converse( one ) ==> one }.
% 0.75/1.13 (248) {G4,W5,D3,L1,V1,M1} P(247,241) { composition( one, X ) ==> X }.
% 0.75/1.13 (253) {G3,W9,D4,L1,V2,M1} P(26,20);d(1);d(11) { join( meet( X, Y ), top )
% 0.75/1.13 ==> join( top, Y ) }.
% 0.75/1.13 (271) {G2,W7,D4,L1,V1,M1} P(15,26);d(42) { join( meet( X, X ), zero ) ==> X
% 0.75/1.13 }.
% 0.75/1.13 (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement( X ),
% 0.75/1.13 complement( X ) ) ==> complement( X ) }.
% 0.75/1.13 (285) {G4,W8,D4,L1,V1,M1} P(271,18);d(253) { join( X, complement( zero ) )
% 0.75/1.13 ==> join( top, X ) }.
% 0.75/1.13 (295) {G5,W9,D5,L1,V1,M1} P(285,3) { complement( join( top, complement( X )
% 0.75/1.13 ) ) ==> meet( X, zero ) }.
% 0.75/1.13 (296) {G5,W8,D4,L1,V1,M1} P(285,0) { join( complement( zero ), X ) ==> join
% 0.75/1.13 ( top, X ) }.
% 0.75/1.13 (298) {G6,W6,D3,L1,V0,M1} P(277,296);d(285) { join( top, top ) ==>
% 0.75/1.13 complement( zero ) }.
% 0.75/1.13 (300) {G6,W6,D4,L1,V1,M1} P(277,33);d(11) { join( complement( X ), top )
% 0.75/1.13 ==> top }.
% 0.75/1.13 (305) {G6,W5,D3,L1,V0,M1} P(42,277) { join( zero, zero ) ==> zero }.
% 0.75/1.13 (306) {G6,W7,D4,L1,V1,M1} P(277,3) { complement( complement( X ) ) = meet(
% 0.75/1.13 X, X ) }.
% 0.75/1.13 (308) {G7,W4,D3,L1,V0,M1} P(305,224);d(253);d(298) { complement( zero ) ==>
% 0.75/1.13 top }.
% 0.75/1.13 (315) {G8,W5,D3,L1,V1,M1} P(308,3);d(300);d(42) { meet( X, zero ) ==> zero
% 0.75/1.13 }.
% 0.75/1.13 (316) {G9,W7,D4,L1,V1,M1} P(315,26);d(44) { join( zero, meet( X, top ) )
% 0.75/1.13 ==> X }.
% 0.75/1.13 (320) {G9,W9,D4,L1,V2,M1} P(28,31);d(295);d(315);d(45) { join( join( X, Y )
% 0.75/1.13 , top ) ==> join( X, top ) }.
% 0.75/1.13 (324) {G10,W5,D3,L1,V1,M1} P(23,31);d(120);d(320);d(30) { join( Y, top )
% 0.75/1.13 ==> top }.
% 0.75/1.13 (340) {G11,W7,D4,L1,V1,M1} P(324,26);d(42) { join( meet( X, top ), zero )
% 0.75/1.13 ==> X }.
% 0.75/1.13 (348) {G12,W7,D4,L1,V1,M1} P(40,340) { join( meet( top, X ), zero ) ==> X
% 0.75/1.13 }.
% 0.75/1.13 (355) {G13,W7,D4,L1,V1,M1} P(348,0) { join( zero, meet( top, X ) ) ==> X
% 0.75/1.13 }.
% 0.75/1.13 (375) {G7,W7,D4,L1,V1,M1} P(306,44);d(271) { meet( complement( X ), top )
% 0.75/1.13 ==> complement( X ) }.
% 0.75/1.13 (386) {G10,W7,D4,L1,V1,M1} P(375,316) { join( zero, complement( X ) ) ==>
% 0.75/1.13 complement( X ) }.
% 0.75/1.13 (394) {G11,W7,D4,L1,V1,M1} P(386,43) { meet( top, X ) ==> complement(
% 0.75/1.13 complement( X ) ) }.
% 0.75/1.13 (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) { complement( complement
% 0.75/1.13 ( X ) ) ==> X }.
% 0.75/1.13 (409) {G15,W5,D3,L1,V1,M1} P(395,277) { join( X, X ) ==> X }.
% 0.75/1.13 (413) {G15,W10,D5,L1,V2,M1} P(395,3) { complement( join( complement( Y ), X
% 0.75/1.13 ) ) ==> meet( Y, complement( X ) ) }.
% 0.75/1.13 (415) {G16,W9,D4,L1,V2,M1} P(409,17);d(1);d(409) { join( join( X, Y ), Y )
% 0.75/1.13 ==> join( X, Y ) }.
% 0.75/1.13 (443) {G17,W8,D5,L1,V2,M1} P(26,415);d(413) { join( X, meet( X, complement
% 0.75/1.13 ( Y ) ) ) ==> X }.
% 0.75/1.13 (447) {G18,W7,D4,L1,V2,M1} P(395,443) { join( Y, meet( Y, X ) ) ==> Y }.
% 0.75/1.13 (466) {G19,W5,D3,L1,V0,M1} P(447,23) { join( skol2, skol1 ) ==> skol2 }.
% 0.75/1.13 (474) {G19,W7,D4,L1,V2,M1} P(40,447) { join( X, meet( Y, X ) ) ==> X }.
% 0.75/1.13 (477) {G20,W5,D3,L1,V0,M1} R(466,27) { ! join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.13 (513) {G21,W0,D0,L0,V0,M0} P(474,23);r(477) { }.
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 % SZS output end Refutation
% 0.75/1.13 found a proof!
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Unprocessed initial clauses:
% 0.75/1.13
% 0.75/1.13 (515) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 (516) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.75/1.13 , Z ) }.
% 0.75/1.13 (517) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X ),
% 0.75/1.13 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.75/1.13 (518) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement(
% 0.75/1.13 X ), complement( Y ) ) ) }.
% 0.75/1.13 (519) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.75/1.13 composition( composition( X, Y ), Z ) }.
% 0.75/1.13 (520) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.75/1.13 (521) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.75/1.13 composition( X, Z ), composition( Y, Z ) ) }.
% 0.75/1.13 (522) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.75/1.13 (523) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.75/1.13 ), converse( Y ) ) }.
% 0.75/1.13 (524) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) = composition
% 0.75/1.13 ( converse( Y ), converse( X ) ) }.
% 0.75/1.13 (525) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.75/1.13 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.75/1.13 (526) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.75/1.13 (527) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.75/1.13 (528) {G0,W9,D4,L1,V0,M1} { join( skol1, meet( skol2, skol3 ) ) = meet(
% 0.75/1.13 skol2, skol3 ) }.
% 0.75/1.13 (529) {G0,W10,D3,L2,V0,M2} { ! join( skol1, skol2 ) = skol2, ! join( skol1
% 0.75/1.13 , skol3 ) = skol3 }.
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Total Proof:
% 0.75/1.13
% 0.75/1.13 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent0: (515) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.75/1.13 ( join( X, Y ), Z ) }.
% 0.75/1.13 parent0: (516) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join
% 0.75/1.13 ( X, Y ), Z ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (532) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement( X
% 0.75/1.13 ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.75/1.13 }.
% 0.75/1.13 parent0[0]: (517) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.75/1.13 Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.75/1.13 Y ) ) ) ==> X }.
% 0.75/1.13 parent0: (532) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.75/1.13 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (535) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.75/1.13 complement( Y ) ) ) = meet( X, Y ) }.
% 0.75/1.13 parent0[0]: (518) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 parent0: (535) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.75/1.13 complement( Y ) ) ) = meet( X, Y ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.75/1.13 parent0: (520) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.75/1.13 }.
% 0.75/1.13 parent0: (522) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (556) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.75/1.13 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.75/1.13 parent0[0]: (524) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.75/1.13 composition( converse( Y ), converse( X ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.75/1.13 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.75/1.13 parent0: (556) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.75/1.13 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.75/1.13 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.75/1.13 Y ) }.
% 0.75/1.13 parent0: (525) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.75/1.13 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (577) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.75/1.13 parent0[0]: (526) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.75/1.13 top }.
% 0.75/1.13 parent0: (577) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (589) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.75/1.13 parent0[0]: (527) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.75/1.13 zero }.
% 0.75/1.13 parent0: (589) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (13) {G0,W9,D4,L1,V0,M1} I { join( skol1, meet( skol2, skol3 )
% 0.75/1.13 ) ==> meet( skol2, skol3 ) }.
% 0.75/1.13 parent0: (528) {G0,W9,D4,L1,V0,M1} { join( skol1, meet( skol2, skol3 ) ) =
% 0.75/1.13 meet( skol2, skol3 ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (14) {G0,W10,D3,L2,V0,M2} I { ! join( skol1, skol2 ) ==> skol2
% 0.75/1.13 , ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 parent0: (529) {G0,W10,D3,L2,V0,M2} { ! join( skol1, skol2 ) = skol2, !
% 0.75/1.13 join( skol1, skol3 ) = skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 1 ==> 1
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (619) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) ) }.
% 0.75/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (620) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.75/1.13 }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 2]: (619) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.75/1.13 ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := complement( X )
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (623) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top }.
% 0.75/1.13 parent0[0]: (620) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (15) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.75/1.13 ==> top }.
% 0.75/1.13 parent0: (623) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.75/1.13 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (624) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.75/1.13 join( Y, Z ) ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (627) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.75/1.13 join( Y, Z ), X ) }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 6]: (624) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.75/1.13 join( X, join( Y, Z ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := join( Y, Z )
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (16) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.75/1.13 join( join( Y, Z ), X ) }.
% 0.75/1.13 parent0: (627) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.75/1.13 join( Y, Z ), X ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (641) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.75/1.13 join( Y, Z ) ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (646) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 0.75/1.13 , join( Z, Y ) ) }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 8]: (641) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.75/1.13 join( X, join( Y, Z ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := Z
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (659) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.75/1.13 join( X, Z ), Y ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 parent1[0; 6]: (646) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.75/1.13 join( X, join( Z, Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Z
% 0.75/1.13 Z := Y
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (17) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 0.75/1.13 ) = join( join( Z, X ), Y ) }.
% 0.75/1.13 parent0: (659) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 0.75/1.13 join( X, Z ), Y ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Z
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (661) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.75/1.13 join( Y, Z ) ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (664) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.75/1.13 ) ==> join( X, top ) }.
% 0.75/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.13 }.
% 0.75/1.13 parent1[0; 9]: (661) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.75/1.13 join( X, join( Y, Z ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := complement( Y )
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 parent0: (664) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.75/1.13 ) ==> join( X, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (669) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.75/1.13 join( Y, Z ) ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (674) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.75/1.13 ) ==> join( X, top ) }.
% 0.75/1.13 parent0[0]: (15) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.75/1.13 ==> top }.
% 0.75/1.13 parent1[0; 9]: (669) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.75/1.13 join( X, join( Y, Z ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := complement( Y )
% 0.75/1.13 Z := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (20) {G2,W10,D5,L1,V2,M1} P(15,1) { join( join( Y, complement
% 0.75/1.13 ( X ) ), X ) ==> join( Y, top ) }.
% 0.75/1.13 parent0: (674) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.75/1.13 ) ==> join( X, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (678) {G0,W9,D4,L1,V0,M1} { meet( skol2, skol3 ) ==> join( skol1,
% 0.75/1.13 meet( skol2, skol3 ) ) }.
% 0.75/1.13 parent0[0]: (13) {G0,W9,D4,L1,V0,M1} I { join( skol1, meet( skol2, skol3 )
% 0.75/1.13 ) ==> meet( skol2, skol3 ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (679) {G1,W9,D4,L1,V0,M1} { meet( skol2, skol3 ) ==> join( meet(
% 0.75/1.13 skol2, skol3 ), skol1 ) }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 4]: (678) {G0,W9,D4,L1,V0,M1} { meet( skol2, skol3 ) ==> join(
% 0.75/1.13 skol1, meet( skol2, skol3 ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := skol1
% 0.75/1.13 Y := meet( skol2, skol3 )
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (682) {G1,W9,D4,L1,V0,M1} { join( meet( skol2, skol3 ), skol1 )
% 0.75/1.13 ==> meet( skol2, skol3 ) }.
% 0.75/1.13 parent0[0]: (679) {G1,W9,D4,L1,V0,M1} { meet( skol2, skol3 ) ==> join(
% 0.75/1.13 meet( skol2, skol3 ), skol1 ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (22) {G1,W9,D4,L1,V0,M1} P(13,0) { join( meet( skol2, skol3 )
% 0.75/1.13 , skol1 ) ==> meet( skol2, skol3 ) }.
% 0.75/1.13 parent0: (682) {G1,W9,D4,L1,V0,M1} { join( meet( skol2, skol3 ), skol1 )
% 0.75/1.13 ==> meet( skol2, skol3 ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (684) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.75/1.13 join( Y, Z ) ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (686) {G1,W13,D5,L1,V1,M1} { join( join( X, meet( skol2, skol3 )
% 0.75/1.13 ), skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.13 parent0[0]: (22) {G1,W9,D4,L1,V0,M1} P(13,0) { join( meet( skol2, skol3 ),
% 0.75/1.13 skol1 ) ==> meet( skol2, skol3 ) }.
% 0.75/1.13 parent1[0; 10]: (684) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.75/1.13 join( X, join( Y, Z ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := meet( skol2, skol3 )
% 0.75/1.13 Z := skol1
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (23) {G2,W13,D5,L1,V1,M1} P(22,1) { join( join( X, meet( skol2
% 0.75/1.13 , skol3 ) ), skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.13 parent0: (686) {G1,W13,D5,L1,V1,M1} { join( join( X, meet( skol2, skol3 )
% 0.75/1.13 ), skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (689) {G0,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol1, skol2 ), !
% 0.75/1.13 join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 parent0[0]: (14) {G0,W10,D3,L2,V0,M2} I { ! join( skol1, skol2 ) ==> skol2
% 0.75/1.13 , ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (692) {G1,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol2, skol1 ), !
% 0.75/1.13 join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 3]: (689) {G0,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol1, skol2
% 0.75/1.13 ), ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := skol1
% 0.75/1.13 Y := skol2
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (696) {G1,W10,D3,L2,V0,M2} { ! join( skol2, skol1 ) ==> skol2, !
% 0.75/1.13 join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 parent0[0]: (692) {G1,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol2, skol1 )
% 0.75/1.13 , ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (24) {G1,W10,D3,L2,V0,M2} P(0,14) { ! join( skol2, skol1 ) ==>
% 0.75/1.13 skol2, ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 parent0: (696) {G1,W10,D3,L2,V0,M2} { ! join( skol2, skol1 ) ==> skol2, !
% 0.75/1.13 join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 1 ==> 1
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (710) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.75/1.13 ( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.75/1.13 Y ) ) ) ==> X }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.13 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.13 parent0: (710) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.75/1.13 ( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (712) {G1,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol2, skol1 ), !
% 0.75/1.13 join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 parent0[0]: (24) {G1,W10,D3,L2,V0,M2} P(0,14) { ! join( skol2, skol1 ) ==>
% 0.75/1.13 skol2, ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (716) {G1,W10,D3,L2,V0,M2} { ! join( skol3, skol1 ) ==> skol3, !
% 0.75/1.13 skol2 ==> join( skol2, skol1 ) }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[1; 2]: (712) {G1,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol2, skol1
% 0.75/1.13 ), ! join( skol1, skol3 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := skol1
% 0.75/1.13 Y := skol3
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (729) {G1,W10,D3,L2,V0,M2} { ! join( skol2, skol1 ) ==> skol2, !
% 0.75/1.13 join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.13 parent0[1]: (716) {G1,W10,D3,L2,V0,M2} { ! join( skol3, skol1 ) ==> skol3
% 0.75/1.13 , ! skol2 ==> join( skol2, skol1 ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (27) {G2,W10,D3,L2,V0,M2} P(0,24) { ! join( skol2, skol1 ) ==>
% 0.75/1.13 skol2, ! join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.13 parent0: (729) {G1,W10,D3,L2,V0,M2} { ! join( skol2, skol1 ) ==> skol2, !
% 0.75/1.13 join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 1 ==> 1
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (731) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.13 , complement( Y ) ) }.
% 0.75/1.13 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (734) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==> join(
% 0.75/1.13 join( X, top ), complement( complement( Y ) ) ) }.
% 0.75/1.13 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 parent1[0; 7]: (731) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.13 ( X, Y ), complement( Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := join( X, Y )
% 0.75/1.13 Y := complement( Y )
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (735) {G2,W13,D5,L1,V2,M1} { join( join( X, top ), complement(
% 0.75/1.13 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.13 parent0[0]: (734) {G2,W13,D5,L1,V2,M1} { join( join( X, Y ), top ) ==>
% 0.75/1.13 join( join( X, top ), complement( complement( Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (28) {G2,W13,D5,L1,V2,M1} P(18,18) { join( join( X, top ),
% 0.75/1.13 complement( complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.13 parent0: (735) {G2,W13,D5,L1,V2,M1} { join( join( X, top ), complement(
% 0.75/1.13 complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (737) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.13 , complement( Y ) ) }.
% 0.75/1.13 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (739) {G1,W12,D5,L1,V0,M1} { join( skol1, top ) ==> join( meet(
% 0.75/1.13 skol2, skol3 ), complement( meet( skol2, skol3 ) ) ) }.
% 0.75/1.13 parent0[0]: (13) {G0,W9,D4,L1,V0,M1} I { join( skol1, meet( skol2, skol3 )
% 0.75/1.13 ) ==> meet( skol2, skol3 ) }.
% 0.75/1.13 parent1[0; 5]: (737) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.13 ( X, Y ), complement( Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := skol1
% 0.75/1.13 Y := meet( skol2, skol3 )
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (740) {G1,W5,D3,L1,V0,M1} { join( skol1, top ) ==> top }.
% 0.75/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.13 }.
% 0.75/1.13 parent1[0; 4]: (739) {G1,W12,D5,L1,V0,M1} { join( skol1, top ) ==> join(
% 0.75/1.13 meet( skol2, skol3 ), complement( meet( skol2, skol3 ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := meet( skol2, skol3 )
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (30) {G2,W5,D3,L1,V0,M1} P(13,18);d(11) { join( skol1, top )
% 0.75/1.13 ==> top }.
% 0.75/1.13 parent0: (740) {G1,W5,D3,L1,V0,M1} { join( skol1, top ) ==> top }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (743) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.13 , complement( Y ) ) }.
% 0.75/1.13 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (750) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 0.75/1.13 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.75/1.13 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.13 join( X, Y ), Z ) }.
% 0.75/1.13 parent1[0; 5]: (743) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.13 ( X, Y ), complement( Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := join( Y, Z )
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (751) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 0.75/1.13 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.75/1.13 parent0[0]: (750) {G1,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join(
% 0.75/1.13 join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (31) {G2,W14,D5,L1,V3,M1} P(1,18) { join( join( join( X, Y ),
% 0.75/1.13 Z ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.75/1.13 parent0: (751) {G1,W14,D5,L1,V3,M1} { join( join( join( X, Y ), Z ),
% 0.75/1.13 complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 Z := Z
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (752) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.13 , complement( Y ) ) }.
% 0.75/1.13 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (755) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.75/1.13 ), complement( Y ) ) }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 5]: (752) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.13 ( X, Y ), complement( Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (768) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y ) )
% 0.75/1.13 ==> join( X, top ) }.
% 0.75/1.13 parent0[0]: (755) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.75/1.13 , X ), complement( Y ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (33) {G2,W10,D4,L1,V2,M1} P(0,18) { join( join( Y, X ),
% 0.75/1.13 complement( Y ) ) ==> join( X, top ) }.
% 0.75/1.13 parent0: (768) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.75/1.13 ) ==> join( X, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (769) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (771) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.13 complement( Y ), complement( X ) ) ) }.
% 0.75/1.13 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.13 parent1[0; 5]: (769) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := complement( X )
% 0.75/1.13 Y := complement( Y )
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (773) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.75/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 parent1[0; 4]: (771) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.13 join( complement( Y ), complement( X ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (40) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 0.75/1.13 , Y ) }.
% 0.75/1.13 parent0: (773) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (775) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (778) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.75/1.13 complement( top ) }.
% 0.75/1.13 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.13 }.
% 0.75/1.13 parent1[0; 6]: (775) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := complement( X )
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := complement( X )
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (779) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.75/1.13 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.75/1.13 zero }.
% 0.75/1.13 parent1[0; 1]: (778) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.75/1.13 complement( top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (780) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.75/1.13 parent0[0]: (779) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.13 zero }.
% 0.75/1.13 parent0: (780) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (782) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (783) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.75/1.13 zero, complement( X ) ) ) }.
% 0.75/1.13 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.13 zero }.
% 0.75/1.13 parent1[0; 6]: (782) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := top
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (785) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.75/1.13 ) ) ) ==> meet( top, X ) }.
% 0.75/1.13 parent0[0]: (783) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.75/1.13 join( zero, complement( X ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (43) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( zero,
% 0.75/1.13 complement( X ) ) ) ==> meet( top, X ) }.
% 0.75/1.13 parent0: (785) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement( X
% 0.75/1.13 ) ) ) ==> meet( top, X ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (788) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.13 complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.13 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 Y := Y
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (790) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.75/1.13 complement( X ), zero ) ) }.
% 0.75/1.13 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.13 zero }.
% 0.75/1.13 parent1[0; 8]: (788) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.13 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 end
% 0.75/1.13 substitution1:
% 0.75/1.13 X := X
% 0.75/1.13 Y := top
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (792) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.75/1.13 zero ) ) ==> meet( X, top ) }.
% 0.75/1.13 parent0[0]: (790) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.75/1.13 join( complement( X ), zero ) ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 subsumption: (44) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join(
% 0.75/1.13 complement( X ), zero ) ) ==> meet( X, top ) }.
% 0.75/1.13 parent0: (792) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 0.75/1.13 zero ) ) ==> meet( X, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := X
% 0.75/1.13 end
% 0.75/1.13 permutation0:
% 0.75/1.13 0 ==> 0
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 eqswap: (794) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.13 , complement( Y ) ) }.
% 0.75/1.13 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.13 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.13 substitution0:
% 0.75/1.13 X := Y
% 0.75/1.13 Y := X
% 0.75/1.13 end
% 0.75/1.13
% 0.75/1.13 paramod: (795) {G2,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X, top
% 0.75/1.13 ), zero ) }.
% 0.75/1.13 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 8]: (794) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( X, Y ), complement( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := top
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (796) {G2,W9,D4,L1,V1,M1} { join( join( X, top ), zero ) ==> join
% 0.75/1.14 ( X, top ) }.
% 0.75/1.14 parent0[0]: (795) {G2,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( X,
% 0.75/1.14 top ), zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (45) {G2,W9,D4,L1,V1,M1} P(42,18) { join( join( X, top ), zero
% 0.75/1.14 ) ==> join( X, top ) }.
% 0.75/1.14 parent0: (796) {G2,W9,D4,L1,V1,M1} { join( join( X, top ), zero ) ==> join
% 0.75/1.14 ( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (798) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X ) }.
% 0.75/1.14 parent0[0]: (15) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.75/1.14 ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (799) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 3]: (798) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ),
% 0.75/1.14 X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := top
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (800) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.75/1.14 parent0[0]: (799) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (46) {G2,W5,D3,L1,V0,M1} P(42,15) { join( zero, top ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 parent0: (800) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (802) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.75/1.14 composition( converse( X ), converse( Y ) ) }.
% 0.75/1.14 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.75/1.14 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (804) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.75/1.14 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.75/1.14 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 9]: (802) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.75/1.14 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := converse( X )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (84) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.75/1.14 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.75/1.14 parent0: (804) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.75/1.14 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (807) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join( join
% 0.75/1.14 ( X, Y ), Z ) }.
% 0.75/1.14 parent0[0]: (16) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 0.75/1.14 join( join( Y, Z ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (808) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.14 , complement( Y ) ) }.
% 0.75/1.14 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.14 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (811) {G2,W14,D5,L1,V3,M1} { join( join( X, Y ), top ) ==> join(
% 0.75/1.14 join( join( Z, X ), Y ), complement( Z ) ) }.
% 0.75/1.14 parent0[0]: (807) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join(
% 0.75/1.14 join( X, Y ), Z ) }.
% 0.75/1.14 parent1[0; 7]: (808) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( X, Y ), complement( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Z
% 0.75/1.14 Y := X
% 0.75/1.14 Z := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := join( X, Y )
% 0.75/1.14 Y := Z
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (814) {G2,W14,D5,L1,V3,M1} { join( join( X, Y ), top ) ==> join(
% 0.75/1.14 join( join( Y, Z ), X ), complement( Z ) ) }.
% 0.75/1.14 parent0[0]: (807) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join(
% 0.75/1.14 join( X, Y ), Z ) }.
% 0.75/1.14 parent1[0; 7]: (811) {G2,W14,D5,L1,V3,M1} { join( join( X, Y ), top ) ==>
% 0.75/1.14 join( join( join( Z, X ), Y ), complement( Z ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := Z
% 0.75/1.14 Z := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (845) {G2,W14,D5,L1,V3,M1} { join( join( join( Y, Z ), X ),
% 0.75/1.14 complement( Z ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.14 parent0[0]: (814) {G2,W14,D5,L1,V3,M1} { join( join( X, Y ), top ) ==>
% 0.75/1.14 join( join( join( Y, Z ), X ), complement( Z ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (120) {G2,W14,D5,L1,V3,M1} P(16,18) { join( join( join( Y, Z )
% 0.75/1.14 , X ), complement( Z ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.14 parent0: (845) {G2,W14,D5,L1,V3,M1} { join( join( join( Y, Z ), X ),
% 0.75/1.14 complement( Z ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (848) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.75/1.14 zero, complement( X ) ) ) }.
% 0.75/1.14 parent0[0]: (43) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( zero,
% 0.75/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (849) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement( join
% 0.75/1.14 ( zero, zero ) ) }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 7]: (848) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.75/1.14 join( zero, complement( X ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := top
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (850) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 0.75/1.14 meet( top, top ) }.
% 0.75/1.14 parent0[0]: (849) {G2,W8,D4,L1,V0,M1} { meet( top, top ) ==> complement(
% 0.75/1.14 join( zero, zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (133) {G3,W8,D4,L1,V0,M1} P(42,43) { complement( join( zero,
% 0.75/1.14 zero ) ) ==> meet( top, top ) }.
% 0.75/1.14 parent0: (850) {G2,W8,D4,L1,V0,M1} { complement( join( zero, zero ) ) ==>
% 0.75/1.14 meet( top, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (852) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X ) }.
% 0.75/1.14 parent0[0]: (15) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.75/1.14 ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (854) {G2,W9,D4,L1,V0,M1} { top ==> join( meet( top, top ), join
% 0.75/1.14 ( zero, zero ) ) }.
% 0.75/1.14 parent0[0]: (133) {G3,W8,D4,L1,V0,M1} P(42,43) { complement( join( zero,
% 0.75/1.14 zero ) ) ==> meet( top, top ) }.
% 0.75/1.14 parent1[0; 3]: (852) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ),
% 0.75/1.14 X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := join( zero, zero )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (855) {G1,W9,D5,L1,V0,M1} { top ==> join( join( meet( top, top )
% 0.75/1.14 , zero ), zero ) }.
% 0.75/1.14 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.14 join( X, Y ), Z ) }.
% 0.75/1.14 parent1[0; 2]: (854) {G2,W9,D4,L1,V0,M1} { top ==> join( meet( top, top )
% 0.75/1.14 , join( zero, zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := meet( top, top )
% 0.75/1.14 Y := zero
% 0.75/1.14 Z := zero
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (856) {G1,W9,D5,L1,V0,M1} { join( join( meet( top, top ), zero ),
% 0.75/1.14 zero ) ==> top }.
% 0.75/1.14 parent0[0]: (855) {G1,W9,D5,L1,V0,M1} { top ==> join( join( meet( top, top
% 0.75/1.14 ), zero ), zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (143) {G4,W9,D5,L1,V0,M1} P(133,15);d(1) { join( join( meet(
% 0.75/1.14 top, top ), zero ), zero ) ==> top }.
% 0.75/1.14 parent0: (856) {G1,W9,D5,L1,V0,M1} { join( join( meet( top, top ), zero )
% 0.75/1.14 , zero ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (858) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.75/1.14 complement( X ), zero ) ) }.
% 0.75/1.14 parent0[0]: (44) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( complement
% 0.75/1.14 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (859) {G3,W12,D5,L1,V0,M1} { meet( join( zero, zero ), top ) ==>
% 0.75/1.14 complement( join( meet( top, top ), zero ) ) }.
% 0.75/1.14 parent0[0]: (133) {G3,W8,D4,L1,V0,M1} P(42,43) { complement( join( zero,
% 0.75/1.14 zero ) ) ==> meet( top, top ) }.
% 0.75/1.14 parent1[0; 8]: (858) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 0.75/1.14 join( complement( X ), zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := join( zero, zero )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (860) {G3,W12,D5,L1,V0,M1} { complement( join( meet( top, top ),
% 0.75/1.14 zero ) ) ==> meet( join( zero, zero ), top ) }.
% 0.75/1.14 parent0[0]: (859) {G3,W12,D5,L1,V0,M1} { meet( join( zero, zero ), top )
% 0.75/1.14 ==> complement( join( meet( top, top ), zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (181) {G4,W12,D5,L1,V0,M1} P(133,44) { complement( join( meet
% 0.75/1.14 ( top, top ), zero ) ) ==> meet( join( zero, zero ), top ) }.
% 0.75/1.14 parent0: (860) {G3,W12,D5,L1,V0,M1} { complement( join( meet( top, top ),
% 0.75/1.14 zero ) ) ==> meet( join( zero, zero ), top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (862) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y )
% 0.75/1.14 , complement( X ) ) }.
% 0.75/1.14 parent0[0]: (33) {G2,W10,D4,L1,V2,M1} P(0,18) { join( join( Y, X ),
% 0.75/1.14 complement( Y ) ) ==> join( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (865) {G3,W12,D6,L1,V0,M1} { join( zero, top ) ==> join( top,
% 0.75/1.14 complement( join( meet( top, top ), zero ) ) ) }.
% 0.75/1.14 parent0[0]: (143) {G4,W9,D5,L1,V0,M1} P(133,15);d(1) { join( join( meet(
% 0.75/1.14 top, top ), zero ), zero ) ==> top }.
% 0.75/1.14 parent1[0; 5]: (862) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.75/1.14 ( X, Y ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := join( meet( top, top ), zero )
% 0.75/1.14 Y := zero
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (866) {G4,W11,D5,L1,V0,M1} { join( zero, top ) ==> join( top,
% 0.75/1.14 meet( join( zero, zero ), top ) ) }.
% 0.75/1.14 parent0[0]: (181) {G4,W12,D5,L1,V0,M1} P(133,44) { complement( join( meet(
% 0.75/1.14 top, top ), zero ) ) ==> meet( join( zero, zero ), top ) }.
% 0.75/1.14 parent1[0; 6]: (865) {G3,W12,D6,L1,V0,M1} { join( zero, top ) ==> join(
% 0.75/1.14 top, complement( join( meet( top, top ), zero ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (867) {G3,W9,D5,L1,V0,M1} { top ==> join( top, meet( join( zero,
% 0.75/1.14 zero ), top ) ) }.
% 0.75/1.14 parent0[0]: (46) {G2,W5,D3,L1,V0,M1} P(42,15) { join( zero, top ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 parent1[0; 1]: (866) {G4,W11,D5,L1,V0,M1} { join( zero, top ) ==> join(
% 0.75/1.14 top, meet( join( zero, zero ), top ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (868) {G3,W9,D5,L1,V0,M1} { join( top, meet( join( zero, zero ),
% 0.75/1.14 top ) ) ==> top }.
% 0.75/1.14 parent0[0]: (867) {G3,W9,D5,L1,V0,M1} { top ==> join( top, meet( join(
% 0.75/1.14 zero, zero ), top ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (210) {G5,W9,D5,L1,V0,M1} P(143,33);d(181);d(46) { join( top,
% 0.75/1.14 meet( join( zero, zero ), top ) ) ==> top }.
% 0.75/1.14 parent0: (868) {G3,W9,D5,L1,V0,M1} { join( top, meet( join( zero, zero ),
% 0.75/1.14 top ) ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (870) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y )
% 0.75/1.14 , complement( X ) ) }.
% 0.75/1.14 parent0[0]: (33) {G2,W10,D4,L1,V2,M1} P(0,18) { join( join( Y, X ),
% 0.75/1.14 complement( Y ) ) ==> join( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (872) {G3,W12,D5,L1,V0,M1} { join( meet( join( zero, zero ), top
% 0.75/1.14 ), top ) ==> join( top, complement( top ) ) }.
% 0.75/1.14 parent0[0]: (210) {G5,W9,D5,L1,V0,M1} P(143,33);d(181);d(46) { join( top,
% 0.75/1.14 meet( join( zero, zero ), top ) ) ==> top }.
% 0.75/1.14 parent1[0; 9]: (870) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.75/1.14 ( X, Y ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := top
% 0.75/1.14 Y := meet( join( zero, zero ), top )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (873) {G1,W9,D5,L1,V0,M1} { join( meet( join( zero, zero ), top )
% 0.75/1.14 , top ) ==> top }.
% 0.75/1.14 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 parent1[0; 8]: (872) {G3,W12,D5,L1,V0,M1} { join( meet( join( zero, zero )
% 0.75/1.14 , top ), top ) ==> join( top, complement( top ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := top
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (224) {G6,W9,D5,L1,V0,M1} P(210,33);d(11) { join( meet( join(
% 0.75/1.14 zero, zero ), top ), top ) ==> top }.
% 0.75/1.14 parent0: (873) {G1,W9,D5,L1,V0,M1} { join( meet( join( zero, zero ), top )
% 0.75/1.14 , top ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (876) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.75/1.14 converse( composition( converse( X ), Y ) ) }.
% 0.75/1.14 parent0[0]: (84) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.75/1.14 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (879) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.75/1.14 converse( converse( X ) ) }.
% 0.75/1.14 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.75/1.14 parent1[0; 6]: (876) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.75/1.14 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := converse( X )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := one
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (880) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.75/1.14 X }.
% 0.75/1.14 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 5]: (879) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X
% 0.75/1.14 ) ==> converse( converse( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (241) {G2,W6,D4,L1,V1,M1} P(5,84);d(7) { composition( converse
% 0.75/1.14 ( one ), X ) ==> X }.
% 0.75/1.14 parent0: (880) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.75/1.14 X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (882) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (241) {G2,W6,D4,L1,V1,M1} P(5,84);d(7) { composition( converse
% 0.75/1.14 ( one ), X ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (884) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.75/1.14 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.75/1.14 parent1[0; 2]: (882) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.75/1.14 one ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := converse( one )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := one
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (885) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.75/1.14 parent0[0]: (884) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (247) {G3,W4,D3,L1,V0,M1} P(241,5) { converse( one ) ==> one
% 0.75/1.14 }.
% 0.75/1.14 parent0: (885) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (887) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (241) {G2,W6,D4,L1,V1,M1} P(5,84);d(7) { composition( converse
% 0.75/1.14 ( one ), X ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (888) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.75/1.14 parent0[0]: (247) {G3,W4,D3,L1,V0,M1} P(241,5) { converse( one ) ==> one
% 0.75/1.14 }.
% 0.75/1.14 parent1[0; 3]: (887) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.75/1.14 one ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (889) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.75/1.14 parent0[0]: (888) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (248) {G4,W5,D3,L1,V1,M1} P(247,241) { composition( one, X )
% 0.75/1.14 ==> X }.
% 0.75/1.14 parent0: (889) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (891) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 0.75/1.14 complement( Y ) ), Y ) }.
% 0.75/1.14 parent0[0]: (20) {G2,W10,D5,L1,V2,M1} P(15,1) { join( join( Y, complement(
% 0.75/1.14 X ) ), X ) ==> join( Y, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (894) {G2,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==> join(
% 0.75/1.14 X, join( complement( X ), Y ) ) }.
% 0.75/1.14 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.14 parent1[0; 7]: (891) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( X, complement( Y ) ), Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := meet( X, Y )
% 0.75/1.14 Y := join( complement( X ), Y )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (895) {G1,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==> join(
% 0.75/1.14 join( X, complement( X ) ), Y ) }.
% 0.75/1.14 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.14 join( X, Y ), Z ) }.
% 0.75/1.14 parent1[0; 6]: (894) {G2,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==>
% 0.75/1.14 join( X, join( complement( X ), Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := complement( X )
% 0.75/1.14 Z := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (896) {G1,W9,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> join(
% 0.75/1.14 top, Y ) }.
% 0.75/1.14 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 parent1[0; 7]: (895) {G1,W12,D5,L1,V2,M1} { join( meet( X, Y ), top ) ==>
% 0.75/1.14 join( join( X, complement( X ) ), Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (253) {G3,W9,D4,L1,V2,M1} P(26,20);d(1);d(11) { join( meet( X
% 0.75/1.14 , Y ), top ) ==> join( top, Y ) }.
% 0.75/1.14 parent0: (896) {G1,W9,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> join(
% 0.75/1.14 top, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (899) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.75/1.14 ( join( complement( X ), Y ) ) ) }.
% 0.75/1.14 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (901) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ), complement
% 0.75/1.14 ( top ) ) }.
% 0.75/1.14 parent0[0]: (15) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.75/1.14 ==> top }.
% 0.75/1.14 parent1[0; 7]: (899) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (902) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 6]: (901) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 0.75/1.14 complement( top ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (903) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.75/1.14 parent0[0]: (902) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (271) {G2,W7,D4,L1,V1,M1} P(15,26);d(42) { join( meet( X, X )
% 0.75/1.14 , zero ) ==> X }.
% 0.75/1.14 parent0: (903) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (905) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join( composition
% 0.75/1.14 ( converse( X ), complement( composition( X, Y ) ) ), complement( Y ) )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.75/1.14 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.75/1.14 Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (907) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.75/1.14 parent0[0]: (248) {G4,W5,D3,L1,V1,M1} P(247,241) { composition( one, X )
% 0.75/1.14 ==> X }.
% 0.75/1.14 parent1[0; 8]: (905) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.75/1.14 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.75/1.14 complement( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := one
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (908) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.75/1.14 ( X ), complement( X ) ) }.
% 0.75/1.14 parent0[0]: (241) {G2,W6,D4,L1,V1,M1} P(5,84);d(7) { composition( converse
% 0.75/1.14 ( one ), X ) ==> X }.
% 0.75/1.14 parent1[0; 4]: (907) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (909) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X )
% 0.75/1.14 ) ==> complement( X ) }.
% 0.75/1.14 parent0[0]: (908) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 complement( X ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement
% 0.75/1.14 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.75/1.14 parent0: (909) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.75/1.14 ) ) ==> complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for termspace/termends
% 0.75/1.14 eqswap: (911) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.75/1.14 , complement( Y ) ) }.
% 0.75/1.14 parent0[0]: (18) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.75/1.14 complement( X ) ) ==> join( Y, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (913) {G2,W10,D4,L1,V1,M1} { join( meet( X, X ), top ) ==> join(
% 0.75/1.14 X, complement( zero ) ) }.
% 0.75/1.14 parent0[0]: (271) {G2,W7,D4,L1,V1,M1} P(15,26);d(42) { join( meet( X, X ),
% 0.75/1.14 zero ) ==> X }.
% 0.75/1.14 parent1[0; 7]: (911) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( X, Y ), complement( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := meet( X, X )
% 0.75/1.14 Y := zero
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (914) {G3,W8,D4,L1,V1,M1} { join( top, X ) ==> join( X,
% 0.75/1.14 complement( zero ) ) }.
% 0.75/1.14 parent0[0]: (253) {G3,W9,D4,L1,V2,M1} P(26,20);d(1);d(11) { join( meet( X,
% 0.75/1.14 Y ), top ) ==> join( top, Y ) }.
% 0.75/1.14 parent1[0; 1]: (913) {G2,W10,D4,L1,V1,M1} { join( meet( X, X ), top ) ==>
% 0.75/1.14 join( X, complement( zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (915) {G3,W8,D4,L1,V1,M1} { join( X, complement( zero ) ) ==> join
% 0.75/1.14 ( top, X ) }.
% 0.75/1.14 parent0[0]: (914) {G3,W8,D4,L1,V1,M1} { join( top, X ) ==> join( X,
% 0.75/1.14 complement( zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (285) {G4,W8,D4,L1,V1,M1} P(271,18);d(253) { join( X,
% 0.75/1.14 complement( zero ) ) ==> join( top, X ) }.
% 0.75/1.14 parent0: (915) {G3,W8,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 0.75/1.14 join( top, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (917) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.14 complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.14 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (918) {G1,W9,D5,L1,V1,M1} { meet( X, zero ) ==> complement( join
% 0.75/1.14 ( top, complement( X ) ) ) }.
% 0.75/1.14 parent0[0]: (285) {G4,W8,D4,L1,V1,M1} P(271,18);d(253) { join( X,
% 0.75/1.14 complement( zero ) ) ==> join( top, X ) }.
% 0.75/1.14 parent1[0; 5]: (917) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.14 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := zero
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (919) {G1,W9,D5,L1,V1,M1} { complement( join( top, complement( X )
% 0.75/1.14 ) ) ==> meet( X, zero ) }.
% 0.75/1.14 parent0[0]: (918) {G1,W9,D5,L1,V1,M1} { meet( X, zero ) ==> complement(
% 0.75/1.14 join( top, complement( X ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (295) {G5,W9,D5,L1,V1,M1} P(285,3) { complement( join( top,
% 0.75/1.14 complement( X ) ) ) ==> meet( X, zero ) }.
% 0.75/1.14 parent0: (919) {G1,W9,D5,L1,V1,M1} { complement( join( top, complement( X
% 0.75/1.14 ) ) ) ==> meet( X, zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (920) {G4,W8,D4,L1,V1,M1} { join( top, X ) ==> join( X, complement
% 0.75/1.14 ( zero ) ) }.
% 0.75/1.14 parent0[0]: (285) {G4,W8,D4,L1,V1,M1} P(271,18);d(253) { join( X,
% 0.75/1.14 complement( zero ) ) ==> join( top, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (922) {G1,W8,D4,L1,V1,M1} { join( top, X ) ==> join( complement(
% 0.75/1.14 zero ), X ) }.
% 0.75/1.14 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.14 parent1[0; 4]: (920) {G4,W8,D4,L1,V1,M1} { join( top, X ) ==> join( X,
% 0.75/1.14 complement( zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := complement( zero )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (928) {G1,W8,D4,L1,V1,M1} { join( complement( zero ), X ) ==> join
% 0.75/1.14 ( top, X ) }.
% 0.75/1.14 parent0[0]: (922) {G1,W8,D4,L1,V1,M1} { join( top, X ) ==> join(
% 0.75/1.14 complement( zero ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (296) {G5,W8,D4,L1,V1,M1} P(285,0) { join( complement( zero )
% 0.75/1.14 , X ) ==> join( top, X ) }.
% 0.75/1.14 parent0: (928) {G1,W8,D4,L1,V1,M1} { join( complement( zero ), X ) ==>
% 0.75/1.14 join( top, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (929) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement(
% 0.75/1.14 X ), complement( X ) ) }.
% 0.75/1.14 parent0[0]: (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement(
% 0.75/1.14 X ), complement( X ) ) ==> complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (932) {G6,W7,D4,L1,V0,M1} { complement( zero ) ==> join( top,
% 0.75/1.14 complement( zero ) ) }.
% 0.75/1.14 parent0[0]: (296) {G5,W8,D4,L1,V1,M1} P(285,0) { join( complement( zero ),
% 0.75/1.14 X ) ==> join( top, X ) }.
% 0.75/1.14 parent1[0; 3]: (929) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 complement( X ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := complement( zero )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := zero
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (933) {G5,W6,D3,L1,V0,M1} { complement( zero ) ==> join( top, top
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (285) {G4,W8,D4,L1,V1,M1} P(271,18);d(253) { join( X,
% 0.75/1.14 complement( zero ) ) ==> join( top, X ) }.
% 0.75/1.14 parent1[0; 3]: (932) {G6,W7,D4,L1,V0,M1} { complement( zero ) ==> join(
% 0.75/1.14 top, complement( zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := top
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (934) {G5,W6,D3,L1,V0,M1} { join( top, top ) ==> complement( zero
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (933) {G5,W6,D3,L1,V0,M1} { complement( zero ) ==> join( top,
% 0.75/1.14 top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (298) {G6,W6,D3,L1,V0,M1} P(277,296);d(285) { join( top, top )
% 0.75/1.14 ==> complement( zero ) }.
% 0.75/1.14 parent0: (934) {G5,W6,D3,L1,V0,M1} { join( top, top ) ==> complement( zero
% 0.75/1.14 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (936) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y )
% 0.75/1.14 , complement( X ) ) }.
% 0.75/1.14 parent0[0]: (33) {G2,W10,D4,L1,V2,M1} P(0,18) { join( join( Y, X ),
% 0.75/1.14 complement( Y ) ) ==> join( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (938) {G3,W11,D5,L1,V1,M1} { join( complement( X ), top ) ==>
% 0.75/1.14 join( complement( X ), complement( complement( X ) ) ) }.
% 0.75/1.14 parent0[0]: (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement(
% 0.75/1.14 X ), complement( X ) ) ==> complement( X ) }.
% 0.75/1.14 parent1[0; 6]: (936) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.75/1.14 ( X, Y ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 Y := complement( X )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (939) {G1,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 parent1[0; 5]: (938) {G3,W11,D5,L1,V1,M1} { join( complement( X ), top )
% 0.75/1.14 ==> join( complement( X ), complement( complement( X ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (300) {G6,W6,D4,L1,V1,M1} P(277,33);d(11) { join( complement(
% 0.75/1.14 X ), top ) ==> top }.
% 0.75/1.14 parent0: (939) {G1,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (942) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement(
% 0.75/1.14 X ), complement( X ) ) }.
% 0.75/1.14 parent0[0]: (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement(
% 0.75/1.14 X ), complement( X ) ) ==> complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (945) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.75/1.14 complement( top ), zero ) }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 6]: (942) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 complement( X ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := top
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (947) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join( zero,
% 0.75/1.14 zero ) }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 4]: (945) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.75/1.14 complement( top ), zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (948) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 1]: (947) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join(
% 0.75/1.14 zero, zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (954) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.75/1.14 parent0[0]: (948) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (305) {G6,W5,D3,L1,V0,M1} P(42,277) { join( zero, zero ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent0: (954) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (958) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.14 complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.14 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (973) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 parent0[0]: (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement(
% 0.75/1.14 X ), complement( X ) ) ==> complement( X ) }.
% 0.75/1.14 parent1[0; 5]: (958) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.14 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (974) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==> meet
% 0.75/1.14 ( X, X ) }.
% 0.75/1.14 parent0[0]: (973) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (306) {G6,W7,D4,L1,V1,M1} P(277,3) { complement( complement( X
% 0.75/1.14 ) ) = meet( X, X ) }.
% 0.75/1.14 parent0: (974) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.75/1.14 meet( X, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (976) {G6,W9,D5,L1,V0,M1} { top ==> join( meet( join( zero, zero )
% 0.75/1.14 , top ), top ) }.
% 0.75/1.14 parent0[0]: (224) {G6,W9,D5,L1,V0,M1} P(210,33);d(11) { join( meet( join(
% 0.75/1.14 zero, zero ), top ), top ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (979) {G7,W7,D4,L1,V0,M1} { top ==> join( meet( zero, top ), top
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (305) {G6,W5,D3,L1,V0,M1} P(42,277) { join( zero, zero ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 4]: (976) {G6,W9,D5,L1,V0,M1} { top ==> join( meet( join( zero
% 0.75/1.14 , zero ), top ), top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (980) {G4,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.75/1.14 parent0[0]: (253) {G3,W9,D4,L1,V2,M1} P(26,20);d(1);d(11) { join( meet( X,
% 0.75/1.14 Y ), top ) ==> join( top, Y ) }.
% 0.75/1.14 parent1[0; 2]: (979) {G7,W7,D4,L1,V0,M1} { top ==> join( meet( zero, top )
% 0.75/1.14 , top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := zero
% 0.75/1.14 Y := top
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (981) {G5,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 0.75/1.14 parent0[0]: (298) {G6,W6,D3,L1,V0,M1} P(277,296);d(285) { join( top, top )
% 0.75/1.14 ==> complement( zero ) }.
% 0.75/1.14 parent1[0; 2]: (980) {G4,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (982) {G5,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 0.75/1.14 parent0[0]: (981) {G5,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (308) {G7,W4,D3,L1,V0,M1} P(305,224);d(253);d(298) {
% 0.75/1.14 complement( zero ) ==> top }.
% 0.75/1.14 parent0: (982) {G5,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (984) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.14 complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.14 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (988) {G1,W9,D5,L1,V1,M1} { meet( X, zero ) ==> complement( join
% 0.75/1.14 ( complement( X ), top ) ) }.
% 0.75/1.14 parent0[0]: (308) {G7,W4,D3,L1,V0,M1} P(305,224);d(253);d(298) { complement
% 0.75/1.14 ( zero ) ==> top }.
% 0.75/1.14 parent1[0; 8]: (984) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.14 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := zero
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (989) {G2,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement( top )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (300) {G6,W6,D4,L1,V1,M1} P(277,33);d(11) { join( complement( X
% 0.75/1.14 ), top ) ==> top }.
% 0.75/1.14 parent1[0; 5]: (988) {G1,W9,D5,L1,V1,M1} { meet( X, zero ) ==> complement
% 0.75/1.14 ( join( complement( X ), top ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (990) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 4]: (989) {G2,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement
% 0.75/1.14 ( top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (315) {G8,W5,D3,L1,V1,M1} P(308,3);d(300);d(42) { meet( X,
% 0.75/1.14 zero ) ==> zero }.
% 0.75/1.14 parent0: (990) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (993) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.75/1.14 ( join( complement( X ), Y ) ) ) }.
% 0.75/1.14 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (995) {G2,W9,D6,L1,V1,M1} { X ==> join( zero, complement( join(
% 0.75/1.14 complement( X ), zero ) ) ) }.
% 0.75/1.14 parent0[0]: (315) {G8,W5,D3,L1,V1,M1} P(308,3);d(300);d(42) { meet( X, zero
% 0.75/1.14 ) ==> zero }.
% 0.75/1.14 parent1[0; 3]: (993) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := zero
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (996) {G3,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (44) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( complement
% 0.75/1.14 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.75/1.14 parent1[0; 4]: (995) {G2,W9,D6,L1,V1,M1} { X ==> join( zero, complement(
% 0.75/1.14 join( complement( X ), zero ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (997) {G3,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X }.
% 0.75/1.14 parent0[0]: (996) {G3,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (316) {G9,W7,D4,L1,V1,M1} P(315,26);d(44) { join( zero, meet(
% 0.75/1.14 X, top ) ) ==> X }.
% 0.75/1.14 parent0: (997) {G3,W7,D4,L1,V1,M1} { join( zero, meet( X, top ) ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (999) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join(
% 0.75/1.14 X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.75/1.14 parent0[0]: (31) {G2,W14,D5,L1,V3,M1} P(1,18) { join( join( join( X, Y ), Z
% 0.75/1.14 ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1004) {G3,W16,D7,L1,V2,M1} { join( X, top ) ==> join( join( join
% 0.75/1.14 ( X, Y ), top ), complement( join( top, complement( complement( Y ) ) ) )
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (28) {G2,W13,D5,L1,V2,M1} P(18,18) { join( join( X, top ),
% 0.75/1.14 complement( complement( Y ) ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.14 parent1[0; 5]: (999) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := top
% 0.75/1.14 Z := complement( complement( Y ) )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1007) {G4,W14,D5,L1,V2,M1} { join( X, top ) ==> join( join( join
% 0.75/1.14 ( X, Y ), top ), meet( complement( Y ), zero ) ) }.
% 0.75/1.14 parent0[0]: (295) {G5,W9,D5,L1,V1,M1} P(285,3) { complement( join( top,
% 0.75/1.14 complement( X ) ) ) ==> meet( X, zero ) }.
% 0.75/1.14 parent1[0; 10]: (1004) {G3,W16,D7,L1,V2,M1} { join( X, top ) ==> join(
% 0.75/1.14 join( join( X, Y ), top ), complement( join( top, complement( complement
% 0.75/1.14 ( Y ) ) ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := complement( Y )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1008) {G5,W11,D5,L1,V2,M1} { join( X, top ) ==> join( join( join
% 0.75/1.14 ( X, Y ), top ), zero ) }.
% 0.75/1.14 parent0[0]: (315) {G8,W5,D3,L1,V1,M1} P(308,3);d(300);d(42) { meet( X, zero
% 0.75/1.14 ) ==> zero }.
% 0.75/1.14 parent1[0; 10]: (1007) {G4,W14,D5,L1,V2,M1} { join( X, top ) ==> join(
% 0.75/1.14 join( join( X, Y ), top ), meet( complement( Y ), zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := complement( Y )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1009) {G3,W9,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 0.75/1.14 ), top ) }.
% 0.75/1.14 parent0[0]: (45) {G2,W9,D4,L1,V1,M1} P(42,18) { join( join( X, top ), zero
% 0.75/1.14 ) ==> join( X, top ) }.
% 0.75/1.14 parent1[0; 4]: (1008) {G5,W11,D5,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( join( X, Y ), top ), zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := join( X, Y )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1010) {G3,W9,D4,L1,V2,M1} { join( join( X, Y ), top ) ==> join( X
% 0.75/1.14 , top ) }.
% 0.75/1.14 parent0[0]: (1009) {G3,W9,D4,L1,V2,M1} { join( X, top ) ==> join( join( X
% 0.75/1.14 , Y ), top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (320) {G9,W9,D4,L1,V2,M1} P(28,31);d(295);d(315);d(45) { join
% 0.75/1.14 ( join( X, Y ), top ) ==> join( X, top ) }.
% 0.75/1.14 parent0: (1010) {G3,W9,D4,L1,V2,M1} { join( join( X, Y ), top ) ==> join(
% 0.75/1.14 X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1012) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join( join( join
% 0.75/1.14 ( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.75/1.14 parent0[0]: (31) {G2,W14,D5,L1,V3,M1} P(1,18) { join( join( join( X, Y ), Z
% 0.75/1.14 ), complement( join( Y, Z ) ) ) ==> join( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1018) {G3,W20,D7,L1,V2,M1} { join( X, top ) ==> join( join( join
% 0.75/1.14 ( X, join( Y, meet( skol2, skol3 ) ) ), skol1 ), complement( join( Y,
% 0.75/1.14 meet( skol2, skol3 ) ) ) ) }.
% 0.75/1.14 parent0[0]: (23) {G2,W13,D5,L1,V1,M1} P(22,1) { join( join( X, meet( skol2
% 0.75/1.14 , skol3 ) ), skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.14 parent1[0; 15]: (1012) {G2,W14,D5,L1,V3,M1} { join( X, top ) ==> join(
% 0.75/1.14 join( join( X, Y ), Z ), complement( join( Y, Z ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := join( Y, meet( skol2, skol3 ) )
% 0.75/1.14 Z := skol1
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1019) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join( skol1
% 0.75/1.14 , X ), top ) }.
% 0.75/1.14 parent0[0]: (120) {G2,W14,D5,L1,V3,M1} P(16,18) { join( join( join( Y, Z )
% 0.75/1.14 , X ), complement( Z ) ) ==> join( join( X, Y ), top ) }.
% 0.75/1.14 parent1[0; 4]: (1018) {G3,W20,D7,L1,V2,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( join( X, join( Y, meet( skol2, skol3 ) ) ), skol1 ), complement( join(
% 0.75/1.14 Y, meet( skol2, skol3 ) ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := skol1
% 0.75/1.14 Y := X
% 0.75/1.14 Z := join( Y, meet( skol2, skol3 ) )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1020) {G4,W7,D3,L1,V1,M1} { join( X, top ) ==> join( skol1, top
% 0.75/1.14 ) }.
% 0.75/1.14 parent0[0]: (320) {G9,W9,D4,L1,V2,M1} P(28,31);d(295);d(315);d(45) { join(
% 0.75/1.14 join( X, Y ), top ) ==> join( X, top ) }.
% 0.75/1.14 parent1[0; 4]: (1019) {G3,W9,D4,L1,V1,M1} { join( X, top ) ==> join( join
% 0.75/1.14 ( skol1, X ), top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := skol1
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1021) {G3,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.75/1.14 parent0[0]: (30) {G2,W5,D3,L1,V0,M1} P(13,18);d(11) { join( skol1, top )
% 0.75/1.14 ==> top }.
% 0.75/1.14 parent1[0; 4]: (1020) {G4,W7,D3,L1,V1,M1} { join( X, top ) ==> join( skol1
% 0.75/1.14 , top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (324) {G10,W5,D3,L1,V1,M1} P(23,31);d(120);d(320);d(30) { join
% 0.75/1.14 ( Y, top ) ==> top }.
% 0.75/1.14 parent0: (1021) {G3,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1024) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.75/1.14 ( join( complement( X ), Y ) ) ) }.
% 0.75/1.14 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1026) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.75/1.14 complement( top ) ) }.
% 0.75/1.14 parent0[0]: (324) {G10,W5,D3,L1,V1,M1} P(23,31);d(120);d(320);d(30) { join
% 0.75/1.14 ( Y, top ) ==> top }.
% 0.75/1.14 parent1[0; 7]: (1024) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := complement( X )
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := top
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1027) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (42) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.75/1.14 zero }.
% 0.75/1.14 parent1[0; 6]: (1026) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.75/1.14 complement( top ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1028) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (1027) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 0.75/1.14 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (340) {G11,W7,D4,L1,V1,M1} P(324,26);d(42) { join( meet( X,
% 0.75/1.14 top ), zero ) ==> X }.
% 0.75/1.14 parent0: (1028) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1029) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (340) {G11,W7,D4,L1,V1,M1} P(324,26);d(42) { join( meet( X, top
% 0.75/1.14 ), zero ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1030) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (40) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.75/1.14 Y ) }.
% 0.75/1.14 parent1[0; 3]: (1029) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.75/1.14 zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := top
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1033) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (1030) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 0.75/1.14 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (348) {G12,W7,D4,L1,V1,M1} P(40,340) { join( meet( top, X ),
% 0.75/1.14 zero ) ==> X }.
% 0.75/1.14 parent0: (1033) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1034) {G12,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (348) {G12,W7,D4,L1,V1,M1} P(40,340) { join( meet( top, X ),
% 0.75/1.14 zero ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1035) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.75/1.14 parent1[0; 2]: (1034) {G12,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 0.75/1.14 zero ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := meet( top, X )
% 0.75/1.14 Y := zero
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1038) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (1035) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 0.75/1.14 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (355) {G13,W7,D4,L1,V1,M1} P(348,0) { join( zero, meet( top, X
% 0.75/1.14 ) ) ==> X }.
% 0.75/1.14 parent0: (1038) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1040) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join(
% 0.75/1.14 complement( X ), zero ) ) }.
% 0.75/1.14 parent0[0]: (44) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( complement
% 0.75/1.14 ( X ), zero ) ) ==> meet( X, top ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1045) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.75/1.14 complement( join( meet( X, X ), zero ) ) }.
% 0.75/1.14 parent0[0]: (306) {G6,W7,D4,L1,V1,M1} P(277,3) { complement( complement( X
% 0.75/1.14 ) ) = meet( X, X ) }.
% 0.75/1.14 parent1[0; 7]: (1040) {G2,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement
% 0.75/1.14 ( join( complement( X ), zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1046) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.75/1.14 complement( X ) }.
% 0.75/1.14 parent0[0]: (271) {G2,W7,D4,L1,V1,M1} P(15,26);d(42) { join( meet( X, X ),
% 0.75/1.14 zero ) ==> X }.
% 0.75/1.14 parent1[0; 6]: (1045) {G3,W11,D5,L1,V1,M1} { meet( complement( X ), top )
% 0.75/1.14 ==> complement( join( meet( X, X ), zero ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (375) {G7,W7,D4,L1,V1,M1} P(306,44);d(271) { meet( complement
% 0.75/1.14 ( X ), top ) ==> complement( X ) }.
% 0.75/1.14 parent0: (1046) {G3,W7,D4,L1,V1,M1} { meet( complement( X ), top ) ==>
% 0.75/1.14 complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1049) {G9,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top ) )
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (316) {G9,W7,D4,L1,V1,M1} P(315,26);d(44) { join( zero, meet( X
% 0.75/1.14 , top ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1050) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 parent0[0]: (375) {G7,W7,D4,L1,V1,M1} P(306,44);d(271) { meet( complement(
% 0.75/1.14 X ), top ) ==> complement( X ) }.
% 0.75/1.14 parent1[0; 5]: (1049) {G9,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, top
% 0.75/1.14 ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1051) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.75/1.14 complement( X ) }.
% 0.75/1.14 parent0[0]: (1050) {G8,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (386) {G10,W7,D4,L1,V1,M1} P(375,316) { join( zero, complement
% 0.75/1.14 ( X ) ) ==> complement( X ) }.
% 0.75/1.14 parent0: (1051) {G8,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 0.75/1.14 complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1053) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join(
% 0.75/1.14 zero, complement( X ) ) ) }.
% 0.75/1.14 parent0[0]: (43) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( zero,
% 0.75/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1060) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 parent0[0]: (386) {G10,W7,D4,L1,V1,M1} P(375,316) { join( zero, complement
% 0.75/1.14 ( X ) ) ==> complement( X ) }.
% 0.75/1.14 parent1[0; 5]: (1053) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 0.75/1.14 ( join( zero, complement( X ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (394) {G11,W7,D4,L1,V1,M1} P(386,43) { meet( top, X ) ==>
% 0.75/1.14 complement( complement( X ) ) }.
% 0.75/1.14 parent0: (1060) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1063) {G10,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 0.75/1.14 complement( X ) ) }.
% 0.75/1.14 parent0[0]: (386) {G10,W7,D4,L1,V1,M1} P(375,316) { join( zero, complement
% 0.75/1.14 ( X ) ) ==> complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1068) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 0.75/1.14 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.75/1.14 parent0[0]: (43) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( zero,
% 0.75/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.75/1.14 parent1[0; 8]: (1063) {G10,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 zero, complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := join( zero, complement( X ) )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1069) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 0.75/1.14 ( top, X ) ) }.
% 0.75/1.14 parent0[0]: (43) {G2,W9,D5,L1,V1,M1} P(42,3) { complement( join( zero,
% 0.75/1.14 complement( X ) ) ) ==> meet( top, X ) }.
% 0.75/1.14 parent1[0; 1]: (1068) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 0.75/1.14 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1071) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.75/1.14 parent0[0]: (355) {G13,W7,D4,L1,V1,M1} P(348,0) { join( zero, meet( top, X
% 0.75/1.14 ) ) ==> X }.
% 0.75/1.14 parent1[0; 4]: (1069) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 0.75/1.14 , meet( top, X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1072) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (394) {G11,W7,D4,L1,V1,M1} P(386,43) { meet( top, X ) ==>
% 0.75/1.14 complement( complement( X ) ) }.
% 0.75/1.14 parent1[0; 1]: (1071) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) {
% 0.75/1.14 complement( complement( X ) ) ==> X }.
% 0.75/1.14 parent0: (1072) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1075) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.75/1.14 ( X ), complement( X ) ) }.
% 0.75/1.14 parent0[0]: (277) {G5,W8,D4,L1,V1,M1} P(248,10);d(241) { join( complement(
% 0.75/1.14 X ), complement( X ) ) ==> complement( X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1078) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.75/1.14 join( complement( complement( X ) ), X ) }.
% 0.75/1.14 parent0[0]: (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) { complement
% 0.75/1.14 ( complement( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 8]: (1075) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.75/1.14 complement( X ), complement( X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := complement( X )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1080) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 0.75/1.14 join( X, X ) }.
% 0.75/1.14 parent0[0]: (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) { complement
% 0.75/1.14 ( complement( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 5]: (1078) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 0.75/1.14 ==> join( complement( complement( X ) ), X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1081) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.75/1.14 parent0[0]: (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) { complement
% 0.75/1.14 ( complement( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 1]: (1080) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 0.75/1.14 ==> join( X, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1087) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.75/1.14 parent0[0]: (1081) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (409) {G15,W5,D3,L1,V1,M1} P(395,277) { join( X, X ) ==> X }.
% 0.75/1.14 parent0: (1087) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1091) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.75/1.14 complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.75/1.14 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1095) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.75/1.14 complement( join( complement( X ), Y ) ) }.
% 0.75/1.14 parent0[0]: (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) { complement
% 0.75/1.14 ( complement( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 9]: (1091) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.75/1.14 join( complement( X ), complement( Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := complement( Y )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1097) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ), Y
% 0.75/1.14 ) ) ==> meet( X, complement( Y ) ) }.
% 0.75/1.14 parent0[0]: (1095) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 0.75/1.14 complement( join( complement( X ), Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (413) {G15,W10,D5,L1,V2,M1} P(395,3) { complement( join(
% 0.75/1.14 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.75/1.14 parent0: (1097) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.75/1.14 Y ) ) ==> meet( X, complement( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1098) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.75/1.14 parent0[0]: (409) {G15,W5,D3,L1,V1,M1} P(395,277) { join( X, X ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1101) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 0.75/1.14 join( X, Y ) ), Y ) }.
% 0.75/1.14 parent0[0]: (17) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 0.75/1.14 = join( join( Z, X ), Y ) }.
% 0.75/1.14 parent1[0; 4]: (1098) {G15,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := join( X, Y )
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := join( X, Y )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1103) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join(
% 0.75/1.14 X, X ), Y ), Y ) }.
% 0.75/1.14 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.75/1.14 join( X, Y ), Z ) }.
% 0.75/1.14 parent1[0; 5]: (1101) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.75/1.14 X, join( X, Y ) ), Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := X
% 0.75/1.14 Z := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1104) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.75/1.14 , Y ) }.
% 0.75/1.14 parent0[0]: (409) {G15,W5,D3,L1,V1,M1} P(395,277) { join( X, X ) ==> X }.
% 0.75/1.14 parent1[0; 6]: (1103) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join(
% 0.75/1.14 join( X, X ), Y ), Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1105) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X,
% 0.75/1.14 Y ) }.
% 0.75/1.14 parent0[0]: (1104) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y
% 0.75/1.14 ), Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (415) {G16,W9,D4,L1,V2,M1} P(409,17);d(1);d(409) { join( join
% 0.75/1.14 ( X, Y ), Y ) ==> join( X, Y ) }.
% 0.75/1.14 parent0: (1105) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 0.75/1.14 , Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1107) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 0.75/1.14 , Y ) }.
% 0.75/1.14 parent0[0]: (415) {G16,W9,D4,L1,V2,M1} P(409,17);d(1);d(409) { join( join(
% 0.75/1.14 X, Y ), Y ) ==> join( X, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1110) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 0.75/1.14 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 0.75/1.14 ( X ), Y ) ) ) }.
% 0.75/1.14 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.14 parent1[0; 11]: (1107) {G16,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 0.75/1.14 ( X, Y ), Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := meet( X, Y )
% 0.75/1.14 Y := complement( join( complement( X ), Y ) )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1111) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 0.75/1.14 complement( X ), Y ) ) ) }.
% 0.75/1.14 parent0[0]: (26) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.75/1.14 parent1[0; 1]: (1110) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 0.75/1.14 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 0.75/1.14 ( complement( X ), Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1118) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.75/1.14 Y ) ) ) }.
% 0.75/1.14 parent0[0]: (413) {G15,W10,D5,L1,V2,M1} P(395,3) { complement( join(
% 0.75/1.14 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 0.75/1.14 parent1[0; 4]: (1111) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 0.75/1.14 join( complement( X ), Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1119) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) ) )
% 0.75/1.14 ==> X }.
% 0.75/1.14 parent0[0]: (1118) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.75/1.14 complement( Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (443) {G17,W8,D5,L1,V2,M1} P(26,415);d(413) { join( X, meet( X
% 0.75/1.14 , complement( Y ) ) ) ==> X }.
% 0.75/1.14 parent0: (1119) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 0.75/1.14 ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1121) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement(
% 0.75/1.14 Y ) ) ) }.
% 0.75/1.14 parent0[0]: (443) {G17,W8,D5,L1,V2,M1} P(26,415);d(413) { join( X, meet( X
% 0.75/1.14 , complement( Y ) ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1122) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.75/1.14 parent0[0]: (395) {G14,W5,D4,L1,V1,M1} P(43,386);d(355);d(394) { complement
% 0.75/1.14 ( complement( X ) ) ==> X }.
% 0.75/1.14 parent1[0; 6]: (1121) {G17,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 0.75/1.14 complement( Y ) ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := complement( Y )
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1123) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.75/1.14 parent0[0]: (1122) {G15,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (447) {G18,W7,D4,L1,V2,M1} P(395,443) { join( Y, meet( Y, X )
% 0.75/1.14 ) ==> Y }.
% 0.75/1.14 parent0: (1123) {G15,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1125) {G2,W13,D5,L1,V1,M1} { join( X, meet( skol2, skol3 ) ) ==>
% 0.75/1.14 join( join( X, meet( skol2, skol3 ) ), skol1 ) }.
% 0.75/1.14 parent0[0]: (23) {G2,W13,D5,L1,V1,M1} P(22,1) { join( join( X, meet( skol2
% 0.75/1.14 , skol3 ) ), skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1127) {G3,W9,D4,L1,V0,M1} { join( skol2, meet( skol2, skol3 ) )
% 0.75/1.14 ==> join( skol2, skol1 ) }.
% 0.75/1.14 parent0[0]: (447) {G18,W7,D4,L1,V2,M1} P(395,443) { join( Y, meet( Y, X ) )
% 0.75/1.14 ==> Y }.
% 0.75/1.14 parent1[0; 7]: (1125) {G2,W13,D5,L1,V1,M1} { join( X, meet( skol2, skol3 )
% 0.75/1.14 ) ==> join( join( X, meet( skol2, skol3 ) ), skol1 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := skol3
% 0.75/1.14 Y := skol2
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := skol2
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1128) {G4,W5,D3,L1,V0,M1} { skol2 ==> join( skol2, skol1 ) }.
% 0.75/1.14 parent0[0]: (447) {G18,W7,D4,L1,V2,M1} P(395,443) { join( Y, meet( Y, X ) )
% 0.75/1.14 ==> Y }.
% 0.75/1.14 parent1[0; 1]: (1127) {G3,W9,D4,L1,V0,M1} { join( skol2, meet( skol2,
% 0.75/1.14 skol3 ) ) ==> join( skol2, skol1 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := skol3
% 0.75/1.14 Y := skol2
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1130) {G4,W5,D3,L1,V0,M1} { join( skol2, skol1 ) ==> skol2 }.
% 0.75/1.14 parent0[0]: (1128) {G4,W5,D3,L1,V0,M1} { skol2 ==> join( skol2, skol1 )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (466) {G19,W5,D3,L1,V0,M1} P(447,23) { join( skol2, skol1 )
% 0.75/1.14 ==> skol2 }.
% 0.75/1.14 parent0: (1130) {G4,W5,D3,L1,V0,M1} { join( skol2, skol1 ) ==> skol2 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1132) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 0.75/1.14 parent0[0]: (447) {G18,W7,D4,L1,V2,M1} P(395,443) { join( Y, meet( Y, X ) )
% 0.75/1.14 ==> Y }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1133) {G2,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.75/1.14 parent0[0]: (40) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 0.75/1.14 Y ) }.
% 0.75/1.14 parent1[0; 4]: (1132) {G18,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := Y
% 0.75/1.14 Y := X
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1136) {G2,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.75/1.14 parent0[0]: (1133) {G2,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (474) {G19,W7,D4,L1,V2,M1} P(40,447) { join( X, meet( Y, X ) )
% 0.75/1.14 ==> X }.
% 0.75/1.14 parent0: (1136) {G2,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1137) {G19,W5,D3,L1,V0,M1} { skol2 ==> join( skol2, skol1 ) }.
% 0.75/1.14 parent0[0]: (466) {G19,W5,D3,L1,V0,M1} P(447,23) { join( skol2, skol1 ) ==>
% 0.75/1.14 skol2 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1138) {G2,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol2, skol1 ), !
% 0.75/1.14 join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.14 parent0[0]: (27) {G2,W10,D3,L2,V0,M2} P(0,24) { ! join( skol2, skol1 ) ==>
% 0.75/1.14 skol2, ! join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 resolution: (1141) {G3,W5,D3,L1,V0,M1} { ! join( skol3, skol1 ) ==> skol3
% 0.75/1.14 }.
% 0.75/1.14 parent0[0]: (1138) {G2,W10,D3,L2,V0,M2} { ! skol2 ==> join( skol2, skol1 )
% 0.75/1.14 , ! join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.14 parent1[0]: (1137) {G19,W5,D3,L1,V0,M1} { skol2 ==> join( skol2, skol1 )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (477) {G20,W5,D3,L1,V0,M1} R(466,27) { ! join( skol3, skol1 )
% 0.75/1.14 ==> skol3 }.
% 0.75/1.14 parent0: (1141) {G3,W5,D3,L1,V0,M1} { ! join( skol3, skol1 ) ==> skol3 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1144) {G2,W13,D5,L1,V1,M1} { join( X, meet( skol2, skol3 ) ) ==>
% 0.75/1.14 join( join( X, meet( skol2, skol3 ) ), skol1 ) }.
% 0.75/1.14 parent0[0]: (23) {G2,W13,D5,L1,V1,M1} P(22,1) { join( join( X, meet( skol2
% 0.75/1.14 , skol3 ) ), skol1 ) ==> join( X, meet( skol2, skol3 ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 eqswap: (1145) {G20,W5,D3,L1,V0,M1} { ! skol3 ==> join( skol3, skol1 ) }.
% 0.75/1.14 parent0[0]: (477) {G20,W5,D3,L1,V0,M1} R(466,27) { ! join( skol3, skol1 )
% 0.75/1.14 ==> skol3 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1147) {G3,W9,D4,L1,V0,M1} { join( skol3, meet( skol2, skol3 ) )
% 0.75/1.14 ==> join( skol3, skol1 ) }.
% 0.75/1.14 parent0[0]: (474) {G19,W7,D4,L1,V2,M1} P(40,447) { join( X, meet( Y, X ) )
% 0.75/1.14 ==> X }.
% 0.75/1.14 parent1[0; 7]: (1144) {G2,W13,D5,L1,V1,M1} { join( X, meet( skol2, skol3 )
% 0.75/1.14 ) ==> join( join( X, meet( skol2, skol3 ) ), skol1 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := skol3
% 0.75/1.14 Y := skol2
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 X := skol3
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 paramod: (1148) {G4,W5,D3,L1,V0,M1} { skol3 ==> join( skol3, skol1 ) }.
% 0.75/1.14 parent0[0]: (474) {G19,W7,D4,L1,V2,M1} P(40,447) { join( X, meet( Y, X ) )
% 0.75/1.14 ==> X }.
% 0.75/1.14 parent1[0; 1]: (1147) {G3,W9,D4,L1,V0,M1} { join( skol3, meet( skol2,
% 0.75/1.14 skol3 ) ) ==> join( skol3, skol1 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := skol3
% 0.75/1.14 Y := skol2
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 resolution: (1149) {G5,W0,D0,L0,V0,M0} { }.
% 0.75/1.14 parent0[0]: (1145) {G20,W5,D3,L1,V0,M1} { ! skol3 ==> join( skol3, skol1 )
% 0.75/1.14 }.
% 0.75/1.14 parent1[0]: (1148) {G4,W5,D3,L1,V0,M1} { skol3 ==> join( skol3, skol1 )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 substitution1:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (513) {G21,W0,D0,L0,V0,M0} P(474,23);r(477) { }.
% 0.75/1.14 parent0: (1149) {G5,W0,D0,L0,V0,M0} { }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 Proof check complete!
% 0.75/1.14
% 0.75/1.14 Memory use:
% 0.75/1.14
% 0.75/1.14 space for terms: 6030
% 0.75/1.14 space for clauses: 53145
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 clauses generated: 3774
% 0.75/1.14 clauses kept: 514
% 0.75/1.14 clauses selected: 122
% 0.75/1.14 clauses deleted: 31
% 0.75/1.14 clauses inuse deleted: 0
% 0.75/1.14
% 0.75/1.14 subsentry: 5071
% 0.75/1.14 literals s-matched: 1596
% 0.75/1.14 literals matched: 1318
% 0.75/1.14 full subsumption: 0
% 0.75/1.14
% 0.75/1.14 checksum: -91789400
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Bliksem ended
%------------------------------------------------------------------------------