TSTP Solution File: REL002+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 18:59:46 EDT 2022
% Result : Theorem 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.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 08:33:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09
% 0.71/1.09 { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 0.71/1.09 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 0.71/1.09 complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.09 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.09 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 0.71/1.09 , Z ) }.
% 0.71/1.09 { composition( X, one ) = X }.
% 0.71/1.09 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 0.71/1.09 Y, Z ) ) }.
% 0.71/1.09 { converse( converse( X ) ) = X }.
% 0.71/1.09 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 0.71/1.09 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 0.71/1.09 ) ) }.
% 0.71/1.09 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.71/1.09 complement( Y ) ) = complement( Y ) }.
% 0.71/1.09 { top = join( X, complement( X ) ) }.
% 0.71/1.09 { zero = meet( X, complement( X ) ) }.
% 0.71/1.09 { ! join( skol1, top ) = top }.
% 0.71/1.09
% 0.71/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.09 This is a pure equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 0
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 join [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.71/1.09 complement [39, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.09 meet [40, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.71/1.09 composition [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.09 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.09 converse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.09 top [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.09 zero [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.09 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09 *** allocated 15000 integers for clauses
% 0.71/1.09 *** allocated 22500 integers for clauses
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Theorem
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 0.71/1.09 , Z ) }.
% 0.71/1.09 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 0.71/1.09 ( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.09 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.09 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.09 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 0.71/1.09 ==> converse( composition( X, Y ) ) }.
% 0.71/1.09 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 0.71/1.09 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 0.71/1.09 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 0.71/1.09 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 0.71/1.09 (13) {G0,W5,D3,L1,V0,M1} I { ! join( skol1, top ) ==> top }.
% 0.71/1.09 (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 0.71/1.09 (15) {G1,W5,D3,L1,V0,M1} P(0,13) { ! join( top, skol1 ) ==> top }.
% 0.71/1.09 (17) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 0.71/1.09 ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.09 (23) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement( X ) ), X )
% 0.71/1.09 ==> join( Y, top ) }.
% 0.71/1.09 (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 0.71/1.09 ==> join( Y, top ) }.
% 0.71/1.09 (36) {G2,W10,D5,L1,V2,M1} P(26,0);d(1) { join( join( complement( Y ), X ),
% 0.71/1.09 Y ) ==> join( X, top ) }.
% 0.71/1.09 (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement( complement( X )
% 0.71/1.09 ) ) ==> join( X, top ) }.
% 0.71/1.09 (40) {G3,W9,D5,L1,V1,M1} P(38,0) { join( complement( complement( X ) ), top
% 0.71/1.09 ) ==> join( X, top ) }.
% 0.71/1.09 (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 0.71/1.09 (77) {G4,W8,D4,L1,V0,M1} P(71,40) { join( complement( zero ), top ) ==>
% 0.71/1.09 join( top, top ) }.
% 0.71/1.09 (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse( one ), X )
% 0.71/1.09 ==> X }.
% 0.71/1.09 (160) {G3,W4,D3,L1,V0,M1} P(154,5) { converse( one ) ==> one }.
% 0.71/1.09 (161) {G4,W5,D3,L1,V1,M1} P(160,154) { composition( one, X ) ==> X }.
% 0.71/1.09 (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement( X ),
% 0.71/1.09 complement( X ) ) ==> complement( X ) }.
% 0.71/1.09 (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X ), top )
% 0.71/1.09 ==> top }.
% 0.71/1.09 (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top }.
% 0.71/1.09 (186) {G8,W5,D3,L1,V1,M1} P(172,36);d(184) { join( top, X ) ==> top }.
% 0.71/1.09 (188) {G9,W0,D0,L0,V0,M0} R(186,15) { }.
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Unprocessed initial clauses:
% 0.71/1.09
% 0.71/1.09 (190) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 (191) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y )
% 0.71/1.09 , Z ) }.
% 0.71/1.09 (192) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X ),
% 0.71/1.09 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 0.71/1.09 (193) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement(
% 0.71/1.09 X ), complement( Y ) ) ) }.
% 0.71/1.09 (194) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 0.71/1.09 composition( composition( X, Y ), Z ) }.
% 0.71/1.09 (195) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.71/1.09 (196) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 0.71/1.09 composition( X, Z ), composition( Y, Z ) ) }.
% 0.71/1.09 (197) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.71/1.09 (198) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse( X
% 0.71/1.09 ), converse( Y ) ) }.
% 0.71/1.09 (199) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) = composition
% 0.71/1.09 ( converse( Y ), converse( X ) ) }.
% 0.71/1.09 (200) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ), complement
% 0.71/1.09 ( composition( X, Y ) ) ), complement( Y ) ) = complement( Y ) }.
% 0.71/1.09 (201) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 0.71/1.09 (202) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 0.71/1.09 (203) {G0,W5,D3,L1,V0,M1} { ! join( skol1, top ) = top }.
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Total Proof:
% 0.71/1.09
% 0.71/1.09 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 parent0: (190) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 0.71/1.09 ( join( X, Y ), Z ) }.
% 0.71/1.09 parent0: (191) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join
% 0.71/1.09 ( X, Y ), Z ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 Z := Z
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (207) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.71/1.09 complement( Y ) ) ) = meet( X, Y ) }.
% 0.71/1.09 parent0[0]: (193) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join(
% 0.71/1.09 complement( X ), complement( Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.09 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.09 parent0: (207) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 0.71/1.09 complement( Y ) ) ) = meet( X, Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.09 parent0: (195) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 0.71/1.09 }.
% 0.71/1.09 parent0: (197) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (228) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.71/1.09 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.71/1.09 parent0[0]: (199) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 0.71/1.09 composition( converse( Y ), converse( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.71/1.09 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.71/1.09 parent0: (228) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ), converse
% 0.71/1.09 ( X ) ) = converse( composition( X, Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.71/1.09 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.71/1.09 Y ) }.
% 0.71/1.09 parent0: (200) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 0.71/1.09 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (249) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.71/1.09 parent0[0]: (201) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 0.71/1.09 top }.
% 0.71/1.09 parent0: (249) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 *** allocated 33750 integers for clauses
% 0.71/1.09 eqswap: (261) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.71/1.09 parent0[0]: (202) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.71/1.09 zero }.
% 0.71/1.09 parent0: (261) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (13) {G0,W5,D3,L1,V0,M1} I { ! join( skol1, top ) ==> top }.
% 0.71/1.09 parent0: (203) {G0,W5,D3,L1,V0,M1} { ! join( skol1, top ) = top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (275) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) ) }.
% 0.71/1.09 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (276) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 parent1[0; 2]: (275) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X
% 0.71/1.09 ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := complement( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (279) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top }.
% 0.71/1.09 parent0[0]: (276) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.71/1.09 ==> top }.
% 0.71/1.09 parent0: (279) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (280) {G0,W5,D3,L1,V0,M1} { ! top ==> join( skol1, top ) }.
% 0.71/1.09 parent0[0]: (13) {G0,W5,D3,L1,V0,M1} I { ! join( skol1, top ) ==> top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (281) {G1,W5,D3,L1,V0,M1} { ! top ==> join( top, skol1 ) }.
% 0.71/1.09 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 parent1[0; 3]: (280) {G0,W5,D3,L1,V0,M1} { ! top ==> join( skol1, top )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol1
% 0.71/1.09 Y := top
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (284) {G1,W5,D3,L1,V0,M1} { ! join( top, skol1 ) ==> top }.
% 0.71/1.09 parent0[0]: (281) {G1,W5,D3,L1,V0,M1} { ! top ==> join( top, skol1 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (15) {G1,W5,D3,L1,V0,M1} P(0,13) { ! join( top, skol1 ) ==>
% 0.71/1.09 top }.
% 0.71/1.09 parent0: (284) {G1,W5,D3,L1,V0,M1} { ! join( top, skol1 ) ==> top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (286) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 0.71/1.09 composition( converse( X ), converse( Y ) ) }.
% 0.71/1.09 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 0.71/1.09 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (288) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.71/1.09 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.09 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 9]: (286) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X )
% 0.71/1.09 ) ==> composition( converse( X ), converse( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := converse( X )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (17) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.71/1.09 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.09 parent0: (288) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X )
% 0.71/1.09 , Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (292) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.71/1.09 join( Y, Z ) ) }.
% 0.71/1.09 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.09 join( X, Y ), Z ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 Z := Z
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (297) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.71/1.09 ) ==> join( X, top ) }.
% 0.71/1.09 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.71/1.09 ==> top }.
% 0.71/1.09 parent1[0; 9]: (292) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.71/1.09 join( X, join( Y, Z ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := complement( Y )
% 0.71/1.09 Z := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (23) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement
% 0.71/1.09 ( X ) ), X ) ==> join( Y, top ) }.
% 0.71/1.09 parent0: (297) {G1,W10,D5,L1,V2,M1} { join( join( X, complement( Y ) ), Y
% 0.71/1.09 ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (302) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X,
% 0.71/1.09 join( Y, Z ) ) }.
% 0.71/1.09 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.09 join( X, Y ), Z ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 Z := Z
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (305) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.71/1.09 ) ==> join( X, top ) }.
% 0.71/1.09 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 parent1[0; 9]: (302) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 0.71/1.09 join( X, join( Y, Z ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 Z := complement( Y )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.09 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.09 parent0: (305) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y )
% 0.71/1.09 ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (309) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.71/1.09 , complement( Y ) ) }.
% 0.71/1.09 parent0[0]: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.09 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (312) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( complement
% 0.71/1.09 ( Y ), join( X, Y ) ) }.
% 0.71/1.09 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 parent1[0; 4]: (309) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.09 ( X, Y ), complement( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := join( X, Y )
% 0.71/1.09 Y := complement( Y )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (325) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.71/1.09 complement( Y ), X ), Y ) }.
% 0.71/1.09 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 0.71/1.09 join( X, Y ), Z ) }.
% 0.71/1.09 parent1[0; 4]: (312) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 0.71/1.09 complement( Y ), join( X, Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := complement( Y )
% 0.71/1.09 Y := X
% 0.71/1.09 Z := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (326) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y )
% 0.71/1.09 ==> join( X, top ) }.
% 0.71/1.09 parent0[0]: (325) {G1,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join(
% 0.71/1.09 complement( Y ), X ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (36) {G2,W10,D5,L1,V2,M1} P(26,0);d(1) { join( join(
% 0.71/1.09 complement( Y ), X ), Y ) ==> join( X, top ) }.
% 0.71/1.09 parent0: (326) {G1,W10,D5,L1,V2,M1} { join( join( complement( Y ), X ), Y
% 0.71/1.09 ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (328) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y )
% 0.71/1.09 , complement( Y ) ) }.
% 0.71/1.09 parent0[0]: (26) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 0.71/1.09 complement( X ) ) ==> join( Y, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (329) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.09 complement( complement( X ) ) ) }.
% 0.71/1.09 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 parent1[0; 5]: (328) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.09 ( X, Y ), complement( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := complement( X )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (330) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X )
% 0.71/1.09 ) ) ==> join( X, top ) }.
% 0.71/1.09 parent0[0]: (329) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.09 complement( complement( X ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement(
% 0.71/1.09 complement( X ) ) ) ==> join( X, top ) }.
% 0.71/1.09 parent0: (330) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 0.71/1.09 ) ) ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (331) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.09 complement( complement( X ) ) ) }.
% 0.71/1.09 parent0[0]: (38) {G2,W9,D5,L1,V1,M1} P(11,26) { join( top, complement(
% 0.71/1.09 complement( X ) ) ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (333) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement(
% 0.71/1.09 complement( X ) ), top ) }.
% 0.71/1.09 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 0.71/1.09 parent1[0; 4]: (331) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 0.71/1.09 complement( complement( X ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := top
% 0.71/1.09 Y := complement( complement( X ) )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (339) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.71/1.09 top ) ==> join( X, top ) }.
% 0.71/1.09 parent0[0]: (333) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.71/1.09 complement( complement( X ) ), top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (40) {G3,W9,D5,L1,V1,M1} P(38,0) { join( complement(
% 0.71/1.09 complement( X ) ), top ) ==> join( X, top ) }.
% 0.71/1.09 parent0: (339) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) ),
% 0.71/1.09 top ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (341) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 0.71/1.09 complement( X ), complement( Y ) ) ) }.
% 0.71/1.09 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 0.71/1.09 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (344) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.71/1.09 complement( top ) }.
% 0.71/1.09 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 parent1[0; 6]: (341) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement(
% 0.71/1.09 join( complement( X ), complement( Y ) ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := complement( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := complement( X )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (345) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.71/1.09 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 0.71/1.09 zero }.
% 0.71/1.09 parent1[0; 1]: (344) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 0.71/1.09 complement( top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (346) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.71/1.09 parent0[0]: (345) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.09 zero }.
% 0.71/1.09 parent0: (346) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (348) {G3,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement(
% 0.71/1.09 complement( X ) ), top ) }.
% 0.71/1.09 parent0[0]: (40) {G3,W9,D5,L1,V1,M1} P(38,0) { join( complement( complement
% 0.71/1.09 ( X ) ), top ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (349) {G2,W8,D4,L1,V0,M1} { join( top, top ) ==> join( complement
% 0.71/1.09 ( zero ), top ) }.
% 0.71/1.09 parent0[0]: (71) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 0.71/1.09 zero }.
% 0.71/1.09 parent1[0; 6]: (348) {G3,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 0.71/1.09 complement( complement( X ) ), top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := top
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (350) {G2,W8,D4,L1,V0,M1} { join( complement( zero ), top ) ==>
% 0.71/1.09 join( top, top ) }.
% 0.71/1.09 parent0[0]: (349) {G2,W8,D4,L1,V0,M1} { join( top, top ) ==> join(
% 0.71/1.09 complement( zero ), top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (77) {G4,W8,D4,L1,V0,M1} P(71,40) { join( complement( zero ),
% 0.71/1.09 top ) ==> join( top, top ) }.
% 0.71/1.09 parent0: (350) {G2,W8,D4,L1,V0,M1} { join( complement( zero ), top ) ==>
% 0.71/1.09 join( top, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (352) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 0.71/1.09 converse( composition( converse( X ), Y ) ) }.
% 0.71/1.09 parent0[0]: (17) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 0.71/1.09 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (355) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.71/1.09 converse( converse( X ) ) }.
% 0.71/1.09 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.09 parent1[0; 6]: (352) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X
% 0.71/1.09 ) ==> converse( composition( converse( X ), Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := converse( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := one
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (356) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.71/1.09 X }.
% 0.71/1.09 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 0.71/1.09 parent1[0; 5]: (355) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X
% 0.71/1.09 ) ==> converse( converse( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.71/1.09 ( one ), X ) ==> X }.
% 0.71/1.09 parent0: (356) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X ) ==>
% 0.71/1.09 X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (358) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.71/1.09 ) }.
% 0.71/1.09 parent0[0]: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.71/1.09 ( one ), X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (360) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.71/1.09 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 0.71/1.09 parent1[0; 2]: (358) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.71/1.09 one ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := converse( one )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := one
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (361) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.71/1.09 parent0[0]: (360) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (160) {G3,W4,D3,L1,V0,M1} P(154,5) { converse( one ) ==> one
% 0.71/1.09 }.
% 0.71/1.09 parent0: (361) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (363) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ), X
% 0.71/1.09 ) }.
% 0.71/1.09 parent0[0]: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.71/1.09 ( one ), X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (364) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.71/1.09 parent0[0]: (160) {G3,W4,D3,L1,V0,M1} P(154,5) { converse( one ) ==> one
% 0.71/1.09 }.
% 0.71/1.09 parent1[0; 3]: (363) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 0.71/1.09 one ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (365) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.71/1.09 parent0[0]: (364) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (161) {G4,W5,D3,L1,V1,M1} P(160,154) { composition( one, X )
% 0.71/1.09 ==> X }.
% 0.71/1.09 parent0: (365) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (367) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join( composition
% 0.71/1.09 ( converse( X ), complement( composition( X, Y ) ) ), complement( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 0.71/1.09 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 0.71/1.09 Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (369) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.09 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.71/1.09 parent0[0]: (161) {G4,W5,D3,L1,V1,M1} P(160,154) { composition( one, X )
% 0.71/1.09 ==> X }.
% 0.71/1.09 parent1[0; 8]: (367) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 0.71/1.09 composition( converse( X ), complement( composition( X, Y ) ) ),
% 0.71/1.09 complement( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := one
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (370) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 0.71/1.09 ( X ), complement( X ) ) }.
% 0.71/1.09 parent0[0]: (154) {G2,W6,D4,L1,V1,M1} P(5,17);d(7) { composition( converse
% 0.71/1.09 ( one ), X ) ==> X }.
% 0.71/1.09 parent1[0; 4]: (369) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.09 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := complement( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (371) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X )
% 0.71/1.09 ) ==> complement( X ) }.
% 0.71/1.09 parent0[0]: (370) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 0.71/1.09 complement( X ), complement( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement
% 0.71/1.09 ( X ), complement( X ) ) ==> complement( X ) }.
% 0.71/1.09 parent0: (371) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 0.71/1.09 ) ) ==> complement( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (373) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join( X,
% 0.71/1.09 complement( Y ) ), Y ) }.
% 0.71/1.09 parent0[0]: (23) {G2,W10,D5,L1,V2,M1} P(14,1) { join( join( Y, complement(
% 0.71/1.09 X ) ), X ) ==> join( Y, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (375) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top ) ==> join
% 0.71/1.09 ( complement( X ), X ) }.
% 0.71/1.09 parent0[0]: (164) {G5,W8,D4,L1,V1,M1} P(161,10);d(154) { join( complement(
% 0.71/1.09 X ), complement( X ) ) ==> complement( X ) }.
% 0.71/1.09 parent1[0; 6]: (373) {G2,W10,D5,L1,V2,M1} { join( X, top ) ==> join( join
% 0.71/1.09 ( X, complement( Y ) ), Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := complement( X )
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (376) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (14) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 0.71/1.09 ==> top }.
% 0.71/1.09 parent1[0; 5]: (375) {G3,W9,D4,L1,V1,M1} { join( complement( X ), top )
% 0.71/1.09 ==> join( complement( X ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement(
% 0.71/1.09 X ), top ) ==> top }.
% 0.71/1.09 parent0: (376) {G2,W6,D4,L1,V1,M1} { join( complement( X ), top ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (378) {G6,W6,D4,L1,V1,M1} { top ==> join( complement( X ), top )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X
% 0.71/1.09 ), top ) ==> top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (380) {G5,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.71/1.09 parent0[0]: (77) {G4,W8,D4,L1,V0,M1} P(71,40) { join( complement( zero ),
% 0.71/1.09 top ) ==> join( top, top ) }.
% 0.71/1.09 parent1[0; 2]: (378) {G6,W6,D4,L1,V1,M1} { top ==> join( complement( X ),
% 0.71/1.09 top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := zero
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (381) {G5,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.71/1.09 parent0[0]: (380) {G5,W5,D3,L1,V0,M1} { top ==> join( top, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 parent0: (381) {G5,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (383) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join(
% 0.71/1.09 complement( X ), Y ), X ) }.
% 0.71/1.09 parent0[0]: (36) {G2,W10,D5,L1,V2,M1} P(26,0);d(1) { join( join( complement
% 0.71/1.09 ( Y ), X ), Y ) ==> join( X, top ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (386) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( top, X )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (172) {G6,W6,D4,L1,V1,M1} P(164,23);d(14) { join( complement( X
% 0.71/1.09 ), top ) ==> top }.
% 0.71/1.09 parent1[0; 5]: (383) {G2,W10,D5,L1,V2,M1} { join( Y, top ) ==> join( join
% 0.71/1.09 ( complement( X ), Y ), X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 Y := top
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (387) {G4,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.71/1.09 parent0[0]: (184) {G7,W5,D3,L1,V0,M1} P(172,77) { join( top, top ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 parent1[0; 1]: (386) {G3,W7,D3,L1,V1,M1} { join( top, top ) ==> join( top
% 0.71/1.09 , X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (388) {G4,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.71/1.09 parent0[0]: (387) {G4,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (186) {G8,W5,D3,L1,V1,M1} P(172,36);d(184) { join( top, X )
% 0.71/1.09 ==> top }.
% 0.71/1.09 parent0: (388) {G4,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (389) {G8,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.71/1.09 parent0[0]: (186) {G8,W5,D3,L1,V1,M1} P(172,36);d(184) { join( top, X ) ==>
% 0.71/1.09 top }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (390) {G1,W5,D3,L1,V0,M1} { ! top ==> join( top, skol1 ) }.
% 0.71/1.09 parent0[0]: (15) {G1,W5,D3,L1,V0,M1} P(0,13) { ! join( top, skol1 ) ==> top
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (391) {G2,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 parent0[0]: (390) {G1,W5,D3,L1,V0,M1} { ! top ==> join( top, skol1 ) }.
% 0.71/1.09 parent1[0]: (389) {G8,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := skol1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (188) {G9,W0,D0,L0,V0,M0} R(186,15) { }.
% 0.71/1.09 parent0: (391) {G2,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 Proof check complete!
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 2421
% 0.71/1.09 space for clauses: 21193
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 757
% 0.71/1.09 clauses kept: 189
% 0.71/1.09 clauses selected: 53
% 0.71/1.09 clauses deleted: 2
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 964
% 0.71/1.09 literals s-matched: 439
% 0.71/1.09 literals matched: 422
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: 158780857
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
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