TSTP Solution File: REL001+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL001+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 18:59:45 EDT 2022
% Result : Theorem 0.69s 1.11s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : REL001+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 11:00:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.11 *** allocated 10000 integers for termspace/termends
% 0.69/1.11 *** allocated 10000 integers for clauses
% 0.69/1.11 *** allocated 10000 integers for justifications
% 0.69/1.11 Bliksem 1.12
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Automatic Strategy Selection
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Clauses:
% 0.69/1.11
% 0.69/1.11 { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.69/1.11 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.69/1.11 complement( join( complement( X ), Y ) ) ) }.
% 0.69/1.11 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.69/1.11 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.69/1.11 , Z ) }.
% 0.69/1.11 { composition( X, one ) = X }.
% 0.69/1.11 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.69/1.11 Y, Z ) ) }.
% 0.69/1.11 { converse( converse( X ) ) = X }.
% 0.69/1.11 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.69/1.11 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.69/1.11 ) ) }.
% 0.69/1.11 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.69/1.11 complement( Y ) ) = complement( Y ) }.
% 0.69/1.11 { top = join( X, complement( X ) ) }.
% 0.69/1.11 { zero = meet( X, complement( X ) ) }.
% 0.69/1.11 { ! join( zero, skol1 ) = skol1 }.
% 0.69/1.11
% 0.69/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.11 This is a pure equality problem
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Options Used:
% 0.69/1.11
% 0.69/1.11 useres = 1
% 0.69/1.11 useparamod = 1
% 0.69/1.11 useeqrefl = 1
% 0.69/1.11 useeqfact = 1
% 0.69/1.11 usefactor = 1
% 0.69/1.11 usesimpsplitting = 0
% 0.69/1.11 usesimpdemod = 5
% 0.69/1.11 usesimpres = 3
% 0.69/1.11
% 0.69/1.11 resimpinuse = 1000
% 0.69/1.11 resimpclauses = 20000
% 0.69/1.11 substype = eqrewr
% 0.69/1.11 backwardsubs = 1
% 0.69/1.11 selectoldest = 5
% 0.69/1.11
% 0.69/1.11 litorderings [0] = split
% 0.69/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.11
% 0.69/1.11 termordering = kbo
% 0.69/1.11
% 0.69/1.11 litapriori = 0
% 0.69/1.11 termapriori = 1
% 0.69/1.11 litaposteriori = 0
% 0.69/1.11 termaposteriori = 0
% 0.69/1.11 demodaposteriori = 0
% 0.69/1.11 ordereqreflfact = 0
% 0.69/1.11
% 0.69/1.11 litselect = negord
% 0.69/1.11
% 0.69/1.11 maxweight = 15
% 0.69/1.11 maxdepth = 30000
% 0.69/1.11 maxlength = 115
% 0.69/1.11 maxnrvars = 195
% 0.69/1.11 excuselevel = 1
% 0.69/1.11 increasemaxweight = 1
% 0.69/1.11
% 0.69/1.11 maxselected = 10000000
% 0.69/1.11 maxnrclauses = 10000000
% 0.69/1.11
% 0.69/1.11 showgenerated = 0
% 0.69/1.11 showkept = 0
% 0.69/1.11 showselected = 0
% 0.69/1.11 showdeleted = 0
% 0.69/1.11 showresimp = 1
% 0.69/1.11 showstatus = 2000
% 0.69/1.11
% 0.69/1.11 prologoutput = 0
% 0.69/1.11 nrgoals = 5000000
% 0.69/1.11 totalproof = 1
% 0.69/1.11
% 0.69/1.11 Symbols occurring in the translation:
% 0.69/1.11
% 0.69/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.11 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.11 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.69/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.11 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.69/1.11 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.11 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.11 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.11 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.11 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.11 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.11 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.11 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Starting Search:
% 0.69/1.11
% 0.69/1.11 *** allocated 15000 integers for clauses
% 0.69/1.11 *** allocated 22500 integers for clauses
% 0.69/1.11 *** allocated 33750 integers for clauses
% 0.69/1.11 *** allocated 50625 integers for clauses
% 0.69/1.11 *** allocated 75937 integers for clauses
% 0.69/1.11
% 0.69/1.11 Bliksems!, er is een bewijs:
% 0.69/1.11 % SZS status Theorem
% 0.69/1.11 % SZS output start Refutation
% 0.69/1.11
% 0.69/1.11 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.69/1.11 , Z ) }.
% 0.69/1.11 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 0.69/1.11 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.69/1.11 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.69/1.11 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.69/1.11 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.69/1.11 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.69/1.11 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 0.69/1.11 converse( join( X, Y ) ) }.
% 0.69/1.11 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.69/1.11 ==> converse( composition( X, Y ) ) }.
% 0.69/1.11 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.69/1.11 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.69/1.11 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.69/1.11 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.69/1.11 (13) {G0,W5,D3,L1,V0,M1} I { ! join( zero, skol1 ) ==> skol1 }.
% 0.69/1.11 (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.69/1.11 (15) {G1,W5,D3,L1,V0,M1} P(0,13) { ! join( skol1, zero ) ==> skol1 }.
% 0.69/1.11 (17) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.69/1.11 ) ) ==> composition( converse( Y ), X ) }.
% 0.69/1.11 (19) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 0.69/1.11 join( X, converse( Y ) ) }.
% 0.69/1.11 (23) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement( X ) ), X )
% 0.69/1.11 ==> join( Y, top ) }.
% 0.69/1.11 (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.69/1.11 ==> join( Y, top ) }.
% 0.69/1.11 (36) {G2,W10,D5,L1,V2,M1} P(26,0);d(1) { join( join( complement( Y ), X ),
% 0.69/1.11 Y ) ==> join( X, top ) }.
% 0.69/1.11 (37) {G2,W10,D4,L1,V2,M1} P(0,26) { join( join( Y, X ), complement( Y ) )
% 0.69/1.11 ==> join( X, top ) }.
% 0.69/1.11 (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement( complement( X )
% 0.69/1.11 ) ) ==> join( X, top ) }.
% 0.69/1.11 (40) {G3,W9,D5,L1,V1,M1} P(38,0) { join( complement( complement( X ) ), top
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 (42) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 0.69/1.11 ( complement( X ), Y ) ) ) ==> X }.
% 0.69/1.11 (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.69/1.11 (77) {G4,W8,D4,L1,V0,M1} P(71,40) { join( complement( zero ), top ) ==>
% 0.69/1.11 join( top, top ) }.
% 0.69/1.11 (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse( one ), X )
% 0.69/1.11 ==> X }.
% 0.69/1.11 (160) {G3,W4,D3,L1,V0,M1} P(154,5) { converse( one ) ==> one }.
% 0.69/1.11 (161) {G4,W5,D3,L1,V1,M1} P(160,154) { composition( one, X ) ==> X }.
% 0.69/1.11 (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement( X ),
% 0.69/1.11 complement( X ) ) ==> complement( X ) }.
% 0.69/1.11 (169) {G6,W5,D3,L1,V0,M1} P(71,164) { join( zero, zero ) ==> zero }.
% 0.69/1.11 (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X ), top )
% 0.69/1.11 ==> top }.
% 0.69/1.11 (181) {G7,W9,D4,L1,V1,M1} P(169,1) { join( join( X, zero ), zero ) ==> join
% 0.69/1.11 ( X, zero ) }.
% 0.69/1.11 (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top }.
% 0.69/1.11 (186) {G8,W5,D3,L1,V1,M1} P(172,36);d(184) { join( top, X ) ==> top }.
% 0.69/1.11 (187) {G8,W5,D3,L1,V1,M1} P(172,37);d(38);d(184) { join( X, top ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 (199) {G9,W7,D4,L1,V1,M1} P(187,19) { join( X, converse( top ) ) ==>
% 0.69/1.11 converse( top ) }.
% 0.69/1.11 (200) {G10,W4,D3,L1,V0,M1} P(199,186) { converse( top ) ==> top }.
% 0.69/1.11 (511) {G11,W7,D4,L1,V1,M1} P(199,42);d(200);d(71) { join( meet( X, top ),
% 0.69/1.11 zero ) ==> X }.
% 0.69/1.11 (533) {G12,W5,D3,L1,V1,M1} P(511,181) { join( X, zero ) ==> X }.
% 0.69/1.11 (544) {G13,W0,D0,L0,V0,M0} R(533,15) { }.
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % SZS output end Refutation
% 0.69/1.11 found a proof!
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Unprocessed initial clauses:
% 0.69/1.11
% 0.69/1.11 (546) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 (547) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.69/1.11 , Z ) }.
% 0.69/1.11 (548) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X ),
% 0.69/1.11 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.69/1.11 (549) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement(
% 0.69/1.11 X ), complement( Y ) ) ) }.
% 0.69/1.11 (550) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.69/1.11 composition( composition( X, Y ), Z ) }.
% 0.69/1.11 (551) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.69/1.11 (552) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.69/1.11 composition( X, Z ), composition( Y, Z ) ) }.
% 0.69/1.11 (553) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.69/1.11 (554) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.69/1.11 ), converse( Y ) ) }.
% 0.69/1.11 (555) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) = composition
% 0.69/1.11 ( converse( Y ), converse( X ) ) }.
% 0.69/1.11 (556) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.69/1.11 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.69/1.11 (557) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.69/1.11 (558) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.69/1.11 (559) {G0,W5,D3,L1,V0,M1} { ! join( zero, skol1 ) = skol1 }.
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Total Proof:
% 0.69/1.11
% 0.69/1.11 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 parent0: (546) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.69/1.11 ( join( X, Y ), Z ) }.
% 0.69/1.11 parent0: (547) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join
% 0.69/1.11 ( X, Y ), Z ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := Z
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (562) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement( X
% 0.69/1.11 ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (548) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 0.69/1.11 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.69/1.11 Y ) ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.69/1.11 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.69/1.11 Y ) ) ) ==> X }.
% 0.69/1.11 parent0: (562) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement(
% 0.69/1.11 X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) = X
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (565) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.69/1.11 complement( Y ) ) ) = meet( X, Y ) }.
% 0.69/1.11 parent0[0]: (549) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join(
% 0.69/1.11 complement( X ), complement( Y ) ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.69/1.11 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.69/1.11 parent0: (565) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.69/1.11 complement( Y ) ) ) = meet( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.69/1.11 parent0: (551) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.69/1.11 }.
% 0.69/1.11 parent0: (553) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (585) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.69/1.11 = converse( join( X, Y ) ) }.
% 0.69/1.11 parent0[0]: (554) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join(
% 0.69/1.11 converse( X ), converse( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 0.69/1.11 ) ) ==> converse( join( X, Y ) ) }.
% 0.69/1.11 parent0: (585) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y ) )
% 0.69/1.11 = converse( join( X, Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (594) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.69/1.11 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.69/1.11 parent0[0]: (555) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.69/1.11 composition( converse( Y ), converse( X ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.69/1.11 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.69/1.11 parent0: (594) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.69/1.11 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.69/1.11 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.69/1.11 Y ) }.
% 0.69/1.11 parent0: (556) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.69/1.11 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (615) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.69/1.11 parent0[0]: (557) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.69/1.11 top }.
% 0.69/1.11 parent0: (615) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (627) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.69/1.11 parent0[0]: (558) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent0: (627) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (13) {G0,W5,D3,L1,V0,M1} I { ! join( zero, skol1 ) ==> skol1
% 0.69/1.11 }.
% 0.69/1.11 parent0: (559) {G0,W5,D3,L1,V0,M1} { ! join( zero, skol1 ) = skol1 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (641) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) ) }.
% 0.69/1.11 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (642) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 parent1[0; 2]: (641) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.69/1.11 ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := complement( X )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (645) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top }.
% 0.69/1.11 parent0[0]: (642) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.69/1.11 ==> top }.
% 0.69/1.11 parent0: (645) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (646) {G0,W5,D3,L1,V0,M1} { ! skol1 ==> join( zero, skol1 ) }.
% 0.69/1.11 parent0[0]: (13) {G0,W5,D3,L1,V0,M1} I { ! join( zero, skol1 ) ==> skol1
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (647) {G1,W5,D3,L1,V0,M1} { ! skol1 ==> join( skol1, zero ) }.
% 0.69/1.11 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 parent1[0; 3]: (646) {G0,W5,D3,L1,V0,M1} { ! skol1 ==> join( zero, skol1 )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := zero
% 0.69/1.11 Y := skol1
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (650) {G1,W5,D3,L1,V0,M1} { ! join( skol1, zero ) ==> skol1 }.
% 0.69/1.11 parent0[0]: (647) {G1,W5,D3,L1,V0,M1} { ! skol1 ==> join( skol1, zero )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (15) {G1,W5,D3,L1,V0,M1} P(0,13) { ! join( skol1, zero ) ==>
% 0.69/1.11 skol1 }.
% 0.69/1.11 parent0: (650) {G1,W5,D3,L1,V0,M1} { ! join( skol1, zero ) ==> skol1 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (652) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.69/1.11 composition( converse( X ), converse( Y ) ) }.
% 0.69/1.11 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.69/1.11 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (654) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.69/1.11 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.69/1.11 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.69/1.11 parent1[0; 9]: (652) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.69/1.11 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := converse( X )
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (17) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.69/1.11 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.69/1.11 parent0: (654) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.69/1.11 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (658) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 0.69/1.11 converse( X ), converse( Y ) ) }.
% 0.69/1.11 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 0.69/1.11 ) ==> converse( join( X, Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (659) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y ) )
% 0.69/1.11 ==> join( X, converse( Y ) ) }.
% 0.69/1.11 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.69/1.11 parent1[0; 7]: (658) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 0.69/1.11 join( converse( X ), converse( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := converse( X )
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (19) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.69/1.11 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.69/1.11 parent0: (659) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y ) )
% 0.69/1.11 ==> join( X, converse( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (664) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.69/1.11 join( Y, Z ) ) }.
% 0.69/1.11 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.69/1.11 join( X, Y ), Z ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := Z
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (669) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.69/1.11 ==> top }.
% 0.69/1.11 parent1[0; 9]: (664) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.69/1.11 join( X, join( Y, Z ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := complement( Y )
% 0.69/1.11 Z := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (23) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement
% 0.69/1.11 ( X ) ), X ) ==> join( Y, top ) }.
% 0.69/1.11 parent0: (669) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (674) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.69/1.11 join( Y, Z ) ) }.
% 0.69/1.11 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.69/1.11 join( X, Y ), Z ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := Z
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (677) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent1[0; 9]: (674) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.69/1.11 join( X, join( Y, Z ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := complement( Y )
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.69/1.11 complement( X ) ) ==> join( Y, top ) }.
% 0.69/1.11 parent0: (677) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (681) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.69/1.11 , complement( Y ) ) }.
% 0.69/1.11 parent0[0]: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.69/1.11 complement( X ) ) ==> join( Y, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (684) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( complement
% 0.69/1.11 ( Y ), join( X, Y ) ) }.
% 0.69/1.11 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 parent1[0; 4]: (681) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.69/1.11 ( X, Y ), complement( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := join( X, Y )
% 0.69/1.11 Y := complement( Y )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (697) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.69/1.11 complement( Y ), X ), Y ) }.
% 0.69/1.11 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.69/1.11 join( X, Y ), Z ) }.
% 0.69/1.11 parent1[0; 4]: (684) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 0.69/1.11 complement( Y ), join( X, Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := complement( Y )
% 0.69/1.11 Y := X
% 0.69/1.11 Z := Y
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (698) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y )
% 0.69/1.11 ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (697) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.69/1.11 complement( Y ), X ), Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (36) {G2,W10,D5,L1,V2,M1} P(26,0);d(1) { join( join(
% 0.69/1.11 complement( Y ), X ), Y ) ==> join( X, top ) }.
% 0.69/1.11 parent0: (698) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (699) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.69/1.11 , complement( Y ) ) }.
% 0.69/1.11 parent0[0]: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.69/1.11 complement( X ) ) ==> join( Y, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (702) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y, X
% 0.69/1.11 ), complement( Y ) ) }.
% 0.69/1.11 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 parent1[0; 5]: (699) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.69/1.11 ( X, Y ), complement( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (715) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y ) )
% 0.69/1.11 ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (702) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y
% 0.69/1.11 , X ), complement( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (37) {G2,W10,D4,L1,V2,M1} P(0,26) { join( join( Y, X ),
% 0.69/1.11 complement( Y ) ) ==> join( X, top ) }.
% 0.69/1.11 parent0: (715) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 0.69/1.11 ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (717) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.69/1.11 , complement( Y ) ) }.
% 0.69/1.11 parent0[0]: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.69/1.11 complement( X ) ) ==> join( Y, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (718) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.69/1.11 complement( complement( X ) ) ) }.
% 0.69/1.11 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent1[0; 5]: (717) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.69/1.11 ( X, Y ), complement( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := complement( X )
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (719) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X )
% 0.69/1.11 ) ) ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (718) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.69/1.11 complement( complement( X ) ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement(
% 0.69/1.11 complement( X ) ) ) ==> join( X, top ) }.
% 0.69/1.11 parent0: (719) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.69/1.11 ) ) ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (720) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.69/1.11 complement( complement( X ) ) ) }.
% 0.69/1.11 parent0[0]: (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement(
% 0.69/1.11 complement( X ) ) ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (722) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement(
% 0.69/1.11 complement( X ) ), top ) }.
% 0.69/1.11 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.69/1.11 parent1[0; 4]: (720) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.69/1.11 complement( complement( X ) ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := top
% 0.69/1.11 Y := complement( complement( X ) )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (728) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.69/1.11 top ) ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (722) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.69/1.11 complement( complement( X ) ), top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (40) {G3,W9,D5,L1,V1,M1} P(38,0) { join( complement(
% 0.69/1.11 complement( X ) ), top ) ==> join( X, top ) }.
% 0.69/1.11 parent0: (728) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.69/1.11 top ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (731) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.69/1.11 ( complement( X ), Y ) ) ) ==> X }.
% 0.69/1.11 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.69/1.11 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.69/1.11 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 0.69/1.11 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 0.69/1.11 Y ) ) ) ==> X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (42) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.69/1.11 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.69/1.11 parent0: (731) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement( join
% 0.69/1.11 ( complement( X ), Y ) ) ) ==> X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (734) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.69/1.11 complement( X ), complement( Y ) ) ) }.
% 0.69/1.11 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.69/1.11 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (737) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.69/1.11 complement( top ) }.
% 0.69/1.11 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent1[0; 6]: (734) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.69/1.11 join( complement( X ), complement( Y ) ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := complement( X )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := complement( X )
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (738) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.69/1.11 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent1[0; 1]: (737) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.69/1.11 complement( top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (739) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.69/1.11 parent0[0]: (738) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent0: (739) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (741) {G3,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement(
% 0.69/1.11 complement( X ) ), top ) }.
% 0.69/1.11 parent0[0]: (40) {G3,W9,D5,L1,V1,M1} P(38,0) { join( complement( complement
% 0.69/1.11 ( X ) ), top ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (742) {G2,W8,D4,L1,V0,M1} { join( top, top ) ==> join( complement
% 0.69/1.11 ( zero ), top ) }.
% 0.69/1.11 parent0[0]: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent1[0; 6]: (741) {G3,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.69/1.11 complement( complement( X ) ), top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := top
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (743) {G2,W8,D4,L1,V0,M1} { join( complement( zero ), top ) ==>
% 0.69/1.11 join( top, top ) }.
% 0.69/1.11 parent0[0]: (742) {G2,W8,D4,L1,V0,M1} { join( top, top ) ==> join(
% 0.69/1.11 complement( zero ), top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (77) {G4,W8,D4,L1,V0,M1} P(71,40) { join( complement( zero ),
% 0.69/1.11 top ) ==> join( top, top ) }.
% 0.69/1.11 parent0: (743) {G2,W8,D4,L1,V0,M1} { join( complement( zero ), top ) ==>
% 0.69/1.11 join( top, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (745) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.69/1.11 converse( composition( converse( X ), Y ) ) }.
% 0.69/1.11 parent0[0]: (17) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.69/1.11 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (748) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.69/1.11 converse( converse( X ) ) }.
% 0.69/1.11 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.69/1.11 parent1[0; 6]: (745) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.69/1.11 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := converse( X )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := one
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (749) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.69/1.11 X }.
% 0.69/1.11 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.69/1.11 parent1[0; 5]: (748) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X
% 0.69/1.11 ) ==> converse( converse( X ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.69/1.11 ( one ), X ) ==> X }.
% 0.69/1.11 parent0: (749) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.69/1.11 X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (751) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.69/1.11 ) }.
% 0.69/1.11 parent0[0]: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.69/1.11 ( one ), X ) ==> X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (753) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.69/1.11 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.69/1.11 parent1[0; 2]: (751) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.69/1.11 one ), X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := converse( one )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := one
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (754) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.69/1.11 parent0[0]: (753) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (160) {G3,W4,D3,L1,V0,M1} P(154,5) { converse( one ) ==> one
% 0.69/1.11 }.
% 0.69/1.11 parent0: (754) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (756) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.69/1.11 ) }.
% 0.69/1.11 parent0[0]: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.69/1.11 ( one ), X ) ==> X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (757) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.69/1.11 parent0[0]: (160) {G3,W4,D3,L1,V0,M1} P(154,5) { converse( one ) ==> one
% 0.69/1.11 }.
% 0.69/1.11 parent1[0; 3]: (756) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.69/1.11 one ), X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (758) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.69/1.11 parent0[0]: (757) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (161) {G4,W5,D3,L1,V1,M1} P(160,154) { composition( one, X )
% 0.69/1.11 ==> X }.
% 0.69/1.11 parent0: (758) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (760) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join( composition
% 0.69/1.11 ( converse( X ), complement( composition( X, Y ) ) ), complement( Y ) )
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.69/1.11 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.69/1.11 Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (762) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.69/1.11 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.69/1.11 parent0[0]: (161) {G4,W5,D3,L1,V1,M1} P(160,154) { composition( one, X )
% 0.69/1.11 ==> X }.
% 0.69/1.11 parent1[0; 8]: (760) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.69/1.11 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.69/1.11 complement( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := one
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (763) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.69/1.11 ( X ), complement( X ) ) }.
% 0.69/1.11 parent0[0]: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.69/1.11 ( one ), X ) ==> X }.
% 0.69/1.11 parent1[0; 4]: (762) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.69/1.11 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := complement( X )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (764) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X )
% 0.69/1.11 ) ==> complement( X ) }.
% 0.69/1.11 parent0[0]: (763) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.69/1.11 complement( X ), complement( X ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement
% 0.69/1.11 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.69/1.11 parent0: (764) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.69/1.11 ) ) ==> complement( X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (766) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement(
% 0.69/1.11 X ), complement( X ) ) }.
% 0.69/1.11 parent0[0]: (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement(
% 0.69/1.11 X ), complement( X ) ) ==> complement( X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (769) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.69/1.11 complement( top ), zero ) }.
% 0.69/1.11 parent0[0]: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent1[0; 6]: (766) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.69/1.11 complement( X ), complement( X ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := top
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (771) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join( zero,
% 0.69/1.11 zero ) }.
% 0.69/1.11 parent0[0]: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent1[0; 4]: (769) {G2,W7,D4,L1,V0,M1} { complement( top ) ==> join(
% 0.69/1.11 complement( top ), zero ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (772) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.69/1.11 parent0[0]: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent1[0; 1]: (771) {G2,W6,D3,L1,V0,M1} { complement( top ) ==> join(
% 0.69/1.11 zero, zero ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (778) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.69/1.11 parent0[0]: (772) {G2,W5,D3,L1,V0,M1} { zero ==> join( zero, zero ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (169) {G6,W5,D3,L1,V0,M1} P(71,164) { join( zero, zero ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent0: (778) {G2,W5,D3,L1,V0,M1} { join( zero, zero ) ==> zero }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (782) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 0.69/1.11 complement( Y ) ), Y ) }.
% 0.69/1.11 parent0[0]: (23) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement(
% 0.69/1.11 X ) ), X ) ==> join( Y, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (784) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top ) ==> join
% 0.69/1.11 ( complement( X ), X ) }.
% 0.69/1.11 parent0[0]: (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement(
% 0.69/1.11 X ), complement( X ) ) ==> complement( X ) }.
% 0.69/1.11 parent1[0; 6]: (782) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join
% 0.69/1.11 ( X, complement( Y ) ), Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := complement( X )
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (785) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.69/1.11 ==> top }.
% 0.69/1.11 parent1[0; 5]: (784) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top )
% 0.69/1.11 ==> join( complement( X ), X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement(
% 0.69/1.11 X ), top ) ==> top }.
% 0.69/1.11 parent0: (785) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (788) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.69/1.11 join( Y, Z ) ) }.
% 0.69/1.11 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.69/1.11 join( X, Y ), Z ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := Z
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (790) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), zero ) ==>
% 0.69/1.11 join( X, zero ) }.
% 0.69/1.11 parent0[0]: (169) {G6,W5,D3,L1,V0,M1} P(71,164) { join( zero, zero ) ==>
% 0.69/1.11 zero }.
% 0.69/1.11 parent1[0; 8]: (788) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.69/1.11 join( X, join( Y, Z ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := zero
% 0.69/1.11 Z := zero
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (181) {G7,W9,D4,L1,V1,M1} P(169,1) { join( join( X, zero ),
% 0.69/1.11 zero ) ==> join( X, zero ) }.
% 0.69/1.11 parent0: (790) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), zero ) ==>
% 0.69/1.11 join( X, zero ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (793) {G6,W6,D4,L1,V1,M1} { top ==> join( complement( X ), top )
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X
% 0.69/1.11 ), top ) ==> top }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (795) {G5,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.69/1.11 parent0[0]: (77) {G4,W8,D4,L1,V0,M1} P(71,40) { join( complement( zero ),
% 0.69/1.11 top ) ==> join( top, top ) }.
% 0.69/1.11 parent1[0; 2]: (793) {G6,W6,D4,L1,V1,M1} { top ==> join( complement( X ),
% 0.69/1.11 top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := zero
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (796) {G5,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.69/1.11 parent0[0]: (795) {G5,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent0: (796) {G5,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (798) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join(
% 0.69/1.11 complement( X ), Y ), X ) }.
% 0.69/1.11 parent0[0]: (36) {G2,W10,D5,L1,V2,M1} P(26,0);d(1) { join( join( complement
% 0.69/1.11 ( Y ), X ), Y ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (801) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( top, X )
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X
% 0.69/1.11 ), top ) ==> top }.
% 0.69/1.11 parent1[0; 5]: (798) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.69/1.11 ( complement( X ), Y ), X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := top
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (802) {G4,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.69/1.11 parent0[0]: (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent1[0; 1]: (801) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( top
% 0.69/1.11 , X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (803) {G4,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.69/1.11 parent0[0]: (802) {G4,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (186) {G8,W5,D3,L1,V1,M1} P(172,36);d(184) { join( top, X )
% 0.69/1.11 ==> top }.
% 0.69/1.11 parent0: (803) {G4,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (805) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y )
% 0.69/1.11 , complement( X ) ) }.
% 0.69/1.11 parent0[0]: (37) {G2,W10,D4,L1,V2,M1} P(0,26) { join( join( Y, X ),
% 0.69/1.11 complement( Y ) ) ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (809) {G3,W9,D5,L1,V1,M1} { join( top, top ) ==> join( top,
% 0.69/1.11 complement( complement( X ) ) ) }.
% 0.69/1.11 parent0[0]: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X
% 0.69/1.11 ), top ) ==> top }.
% 0.69/1.11 parent1[0; 5]: (805) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.69/1.11 ( X, Y ), complement( X ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := complement( X )
% 0.69/1.11 Y := top
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (810) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 0.69/1.11 }.
% 0.69/1.11 parent0[0]: (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement(
% 0.69/1.11 complement( X ) ) ) ==> join( X, top ) }.
% 0.69/1.11 parent1[0; 4]: (809) {G3,W9,D5,L1,V1,M1} { join( top, top ) ==> join( top
% 0.69/1.11 , complement( complement( X ) ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (811) {G4,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.69/1.11 parent0[0]: (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top
% 0.69/1.11 }.
% 0.69/1.11 parent1[0; 1]: (810) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X,
% 0.69/1.11 top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (812) {G4,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.69/1.11 parent0[0]: (811) {G4,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (187) {G8,W5,D3,L1,V1,M1} P(172,37);d(38);d(184) { join( X,
% 0.69/1.11 top ) ==> top }.
% 0.69/1.11 parent0: (812) {G4,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (814) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==> converse
% 0.69/1.11 ( join( converse( X ), Y ) ) }.
% 0.69/1.11 parent0[0]: (19) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 0.69/1.11 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 paramod: (815) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.69/1.11 converse( top ) }.
% 0.69/1.11 parent0[0]: (187) {G8,W5,D3,L1,V1,M1} P(172,37);d(38);d(184) { join( X, top
% 0.69/1.11 ) ==> top }.
% 0.69/1.11 parent1[0; 6]: (814) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 0.69/1.11 converse( join( converse( X ), Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := converse( X )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := top
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (199) {G9,W7,D4,L1,V1,M1} P(187,19) { join( X, converse( top )
% 0.69/1.11 ) ==> converse( top ) }.
% 0.69/1.11 parent0: (815) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 0.69/1.11 converse( top ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 eqswap: (817) {G9,W7,D4,L1,V1,M1} { converse( top ) ==> join( X, converse
% 0.69/1.11 ( top ) ) }.
% 0.69/1.11 parent0[0]: (199) {G9,W7,D4,L1,V1,M1} P(187,19) { join( X, converse( top )
% 0.69/1.12 ) ==> converse( top ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (819) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.69/1.12 parent0[0]: (186) {G8,W5,D3,L1,V1,M1} P(172,36);d(184) { join( top, X ) ==>
% 0.69/1.12 top }.
% 0.69/1.12 parent1[0; 3]: (817) {G9,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 0.69/1.12 converse( top ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := converse( top )
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := top
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (200) {G10,W4,D3,L1,V0,M1} P(199,186) { converse( top ) ==>
% 0.69/1.12 top }.
% 0.69/1.12 parent0: (819) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (822) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ), complement
% 0.69/1.12 ( join( complement( X ), Y ) ) ) }.
% 0.69/1.12 parent0[0]: (42) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 0.69/1.12 complement( join( complement( X ), Y ) ) ) ==> X }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (825) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.69/1.12 ), complement( converse( top ) ) ) }.
% 0.69/1.12 parent0[0]: (199) {G9,W7,D4,L1,V1,M1} P(187,19) { join( X, converse( top )
% 0.69/1.12 ) ==> converse( top ) }.
% 0.69/1.12 parent1[0; 8]: (822) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 0.69/1.12 complement( join( complement( X ), Y ) ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := complement( X )
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := X
% 0.69/1.12 Y := converse( top )
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (827) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top )
% 0.69/1.12 ), complement( top ) ) }.
% 0.69/1.12 parent0[0]: (200) {G10,W4,D3,L1,V0,M1} P(199,186) { converse( top ) ==> top
% 0.69/1.12 }.
% 0.69/1.12 parent1[0; 8]: (825) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 0.69/1.12 ( top ) ), complement( converse( top ) ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (828) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.69/1.12 complement( top ) ) }.
% 0.69/1.12 parent0[0]: (200) {G10,W4,D3,L1,V0,M1} P(199,186) { converse( top ) ==> top
% 0.69/1.12 }.
% 0.69/1.12 parent1[0; 5]: (827) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse(
% 0.69/1.12 top ) ), complement( top ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (831) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.69/1.12 }.
% 0.69/1.12 parent0[0]: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.69/1.12 zero }.
% 0.69/1.12 parent1[0; 6]: (828) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 0.69/1.12 complement( top ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (832) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X }.
% 0.69/1.12 parent0[0]: (831) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 0.69/1.12 }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (511) {G11,W7,D4,L1,V1,M1} P(199,42);d(200);d(71) { join( meet
% 0.69/1.12 ( X, top ), zero ) ==> X }.
% 0.69/1.12 parent0: (832) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 0.69/1.12 }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (834) {G7,W9,D4,L1,V1,M1} { join( X, zero ) ==> join( join( X,
% 0.69/1.12 zero ), zero ) }.
% 0.69/1.12 parent0[0]: (181) {G7,W9,D4,L1,V1,M1} P(169,1) { join( join( X, zero ),
% 0.69/1.12 zero ) ==> join( X, zero ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (836) {G8,W9,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> join
% 0.69/1.12 ( X, zero ) }.
% 0.69/1.12 parent0[0]: (511) {G11,W7,D4,L1,V1,M1} P(199,42);d(200);d(71) { join( meet
% 0.69/1.12 ( X, top ), zero ) ==> X }.
% 0.69/1.12 parent1[0; 7]: (834) {G7,W9,D4,L1,V1,M1} { join( X, zero ) ==> join( join
% 0.69/1.12 ( X, zero ), zero ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := meet( X, top )
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (837) {G9,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.69/1.12 parent0[0]: (511) {G11,W7,D4,L1,V1,M1} P(199,42);d(200);d(71) { join( meet
% 0.69/1.12 ( X, top ), zero ) ==> X }.
% 0.69/1.12 parent1[0; 1]: (836) {G8,W9,D4,L1,V1,M1} { join( meet( X, top ), zero )
% 0.69/1.12 ==> join( X, zero ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (839) {G9,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.69/1.12 parent0[0]: (837) {G9,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (533) {G12,W5,D3,L1,V1,M1} P(511,181) { join( X, zero ) ==> X
% 0.69/1.12 }.
% 0.69/1.12 parent0: (839) {G9,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (841) {G12,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.69/1.12 parent0[0]: (533) {G12,W5,D3,L1,V1,M1} P(511,181) { join( X, zero ) ==> X
% 0.69/1.12 }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (842) {G1,W5,D3,L1,V0,M1} { ! skol1 ==> join( skol1, zero ) }.
% 0.69/1.12 parent0[0]: (15) {G1,W5,D3,L1,V0,M1} P(0,13) { ! join( skol1, zero ) ==>
% 0.69/1.12 skol1 }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 resolution: (843) {G2,W0,D0,L0,V0,M0} { }.
% 0.69/1.12 parent0[0]: (842) {G1,W5,D3,L1,V0,M1} { ! skol1 ==> join( skol1, zero )
% 0.69/1.12 }.
% 0.69/1.12 parent1[0]: (841) {G12,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := skol1
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (544) {G13,W0,D0,L0,V0,M0} R(533,15) { }.
% 0.69/1.12 parent0: (843) {G2,W0,D0,L0,V0,M0} { }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 Proof check complete!
% 0.69/1.12
% 0.69/1.12 Memory use:
% 0.69/1.12
% 0.69/1.12 space for terms: 6661
% 0.69/1.12 space for clauses: 60793
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 clauses generated: 4489
% 0.69/1.12 clauses kept: 545
% 0.69/1.12 clauses selected: 114
% 0.69/1.12 clauses deleted: 23
% 0.69/1.12 clauses inuse deleted: 0
% 0.69/1.12
% 0.69/1.12 subsentry: 1941
% 0.69/1.12 literals s-matched: 930
% 0.69/1.12 literals matched: 885
% 0.69/1.12 full subsumption: 0
% 0.69/1.12
% 0.69/1.12 checksum: -1297844011
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Bliksem ended
%------------------------------------------------------------------------------