TSTP Solution File: REL002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Unsatisfiable 0.45s 1.07s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 11:21:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.07 *** allocated 10000 integers for termspace/termends
% 0.45/1.07 *** allocated 10000 integers for clauses
% 0.45/1.07 *** allocated 10000 integers for justifications
% 0.45/1.07 Bliksem 1.12
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Automatic Strategy Selection
% 0.45/1.07
% 0.45/1.07 Clauses:
% 0.45/1.07 [
% 0.45/1.07 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.45/1.07 [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ],
% 0.45/1.07 [ =( X, join( complement( join( complement( X ), complement( Y ) ) ),
% 0.45/1.07 complement( join( complement( X ), Y ) ) ) ) ],
% 0.45/1.07 [ =( meet( X, Y ), complement( join( complement( X ), complement( Y ) )
% 0.45/1.07 ) ) ],
% 0.45/1.07 [ =( composition( X, composition( Y, Z ) ), composition( composition( X
% 0.45/1.07 , Y ), Z ) ) ],
% 0.45/1.07 [ =( composition( X, one ), X ) ],
% 0.45/1.07 [ =( composition( join( X, Y ), Z ), join( composition( X, Z ),
% 0.45/1.07 composition( Y, Z ) ) ) ],
% 0.45/1.07 [ =( converse( converse( X ) ), X ) ],
% 0.45/1.07 [ =( converse( join( X, Y ) ), join( converse( X ), converse( Y ) ) ) ]
% 0.45/1.07 ,
% 0.45/1.07 [ =( converse( composition( X, Y ) ), composition( converse( Y ),
% 0.45/1.07 converse( X ) ) ) ],
% 0.45/1.07 [ =( join( composition( converse( X ), complement( composition( X, Y ) )
% 0.45/1.07 ), complement( Y ) ), complement( Y ) ) ],
% 0.45/1.07 [ =( top, join( X, complement( X ) ) ) ],
% 0.45/1.07 [ =( zero, meet( X, complement( X ) ) ) ],
% 0.45/1.07 [ ~( =( join( sk1, top ), top ) ) ]
% 0.45/1.07 ] .
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.45/1.07 This is a pure equality problem
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Options Used:
% 0.45/1.07
% 0.45/1.07 useres = 1
% 0.45/1.07 useparamod = 1
% 0.45/1.07 useeqrefl = 1
% 0.45/1.07 useeqfact = 1
% 0.45/1.07 usefactor = 1
% 0.45/1.07 usesimpsplitting = 0
% 0.45/1.07 usesimpdemod = 5
% 0.45/1.07 usesimpres = 3
% 0.45/1.07
% 0.45/1.07 resimpinuse = 1000
% 0.45/1.07 resimpclauses = 20000
% 0.45/1.07 substype = eqrewr
% 0.45/1.07 backwardsubs = 1
% 0.45/1.07 selectoldest = 5
% 0.45/1.07
% 0.45/1.07 litorderings [0] = split
% 0.45/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.07
% 0.45/1.07 termordering = kbo
% 0.45/1.07
% 0.45/1.07 litapriori = 0
% 0.45/1.07 termapriori = 1
% 0.45/1.07 litaposteriori = 0
% 0.45/1.07 termaposteriori = 0
% 0.45/1.07 demodaposteriori = 0
% 0.45/1.07 ordereqreflfact = 0
% 0.45/1.07
% 0.45/1.07 litselect = negord
% 0.45/1.07
% 0.45/1.07 maxweight = 15
% 0.45/1.07 maxdepth = 30000
% 0.45/1.07 maxlength = 115
% 0.45/1.07 maxnrvars = 195
% 0.45/1.07 excuselevel = 1
% 0.45/1.07 increasemaxweight = 1
% 0.45/1.07
% 0.45/1.07 maxselected = 10000000
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07
% 0.45/1.07 showgenerated = 0
% 0.45/1.07 showkept = 0
% 0.45/1.07 showselected = 0
% 0.45/1.07 showdeleted = 0
% 0.45/1.07 showresimp = 1
% 0.45/1.07 showstatus = 2000
% 0.45/1.07
% 0.45/1.07 prologoutput = 1
% 0.45/1.07 nrgoals = 5000000
% 0.45/1.07 totalproof = 1
% 0.45/1.07
% 0.45/1.07 Symbols occurring in the translation:
% 0.45/1.07
% 0.45/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.07 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.45/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.07 join [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.45/1.07 complement [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.07 meet [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.45/1.07 composition [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.45/1.07 one [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.45/1.07 converse [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.45/1.07 top [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.07 zero [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.07 sk1 [50, 0] (w:1, o:5, a:1, s:1, b:0).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Bliksems!, er is een bewijs:
% 0.45/1.07 % SZS status Unsatisfiable
% 0.45/1.07 % SZS output start Refutation
% 0.45/1.07
% 0.45/1.07 clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.45/1.07 meet( X, Y ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 5, [ =( composition( X, one ), X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.45/1.07 composition( X, Y ) ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 10, [ =( join( composition( converse( X ), complement( composition(
% 0.45/1.07 X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 13, [ ~( =( join( sk1, top ), top ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 14, [ =( join( complement( X ), X ), top ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 15, [ ~( =( join( top, sk1 ), top ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 17, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.45/1.07 converse( Y ), X ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 23, [ =( join( join( Y, complement( X ) ), X ), join( Y, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 .
% 0.45/1.07 clause( 26, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 .
% 0.45/1.07 clause( 36, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 .
% 0.45/1.07 clause( 38, [ =( join( top, complement( complement( X ) ) ), join( X, top )
% 0.45/1.07 ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 40, [ =( join( complement( complement( X ) ), top ), join( X, top )
% 0.45/1.07 ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 71, [ =( complement( top ), zero ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 77, [ =( join( complement( zero ), top ), join( top, top ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 154, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 160, [ =( converse( one ), one ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 161, [ =( composition( one, X ), X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 164, [ =( join( complement( X ), complement( X ) ), complement( X )
% 0.45/1.07 ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 172, [ =( join( complement( X ), top ), top ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 184, [ =( join( top, top ), top ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 186, [ =( join( top, X ), top ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 188, [] )
% 0.45/1.07 .
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 % SZS output end Refutation
% 0.45/1.07 found a proof!
% 0.45/1.07
% 0.45/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07
% 0.45/1.07 initialclauses(
% 0.45/1.07 [ clause( 190, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , clause( 191, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 , clause( 192, [ =( X, join( complement( join( complement( X ), complement(
% 0.45/1.07 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 0.45/1.07 , clause( 193, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.45/1.07 complement( Y ) ) ) ) ] )
% 0.45/1.07 , clause( 194, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.45/1.07 composition( X, Y ), Z ) ) ] )
% 0.45/1.07 , clause( 195, [ =( composition( X, one ), X ) ] )
% 0.45/1.07 , clause( 196, [ =( composition( join( X, Y ), Z ), join( composition( X, Z
% 0.45/1.07 ), composition( Y, Z ) ) ) ] )
% 0.45/1.07 , clause( 197, [ =( converse( converse( X ) ), X ) ] )
% 0.45/1.07 , clause( 198, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 0.45/1.07 Y ) ) ) ] )
% 0.45/1.07 , clause( 199, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.45/1.07 Y ), converse( X ) ) ) ] )
% 0.45/1.07 , clause( 200, [ =( join( composition( converse( X ), complement(
% 0.45/1.07 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.45/1.07 , clause( 201, [ =( top, join( X, complement( X ) ) ) ] )
% 0.45/1.07 , clause( 202, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.45/1.07 , clause( 203, [ ~( =( join( sk1, top ), top ) ) ] )
% 0.45/1.07 ] ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , clause( 190, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 , clause( 191, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 207, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.45/1.07 meet( X, Y ) ) ] )
% 0.45/1.07 , clause( 193, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.45/1.07 complement( Y ) ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.45/1.07 meet( X, Y ) ) ] )
% 0.45/1.07 , clause( 207, [ =( complement( join( complement( X ), complement( Y ) ) )
% 0.45/1.07 , meet( X, Y ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 5, [ =( composition( X, one ), X ) ] )
% 0.45/1.07 , clause( 195, [ =( composition( X, one ), X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.45/1.07 , clause( 197, [ =( converse( converse( X ) ), X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 228, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.45/1.07 composition( X, Y ) ) ) ] )
% 0.45/1.07 , clause( 199, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.45/1.07 Y ), converse( X ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.45/1.07 composition( X, Y ) ) ) ] )
% 0.45/1.07 , clause( 228, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.45/1.07 composition( X, Y ) ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 10, [ =( join( composition( converse( X ), complement( composition(
% 0.45/1.07 X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.45/1.07 , clause( 200, [ =( join( composition( converse( X ), complement(
% 0.45/1.07 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 249, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , clause( 201, [ =( top, join( X, complement( X ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , clause( 249, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 261, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.45/1.07 , clause( 202, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.45/1.07 , clause( 261, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 13, [ ~( =( join( sk1, top ), top ) ) ] )
% 0.45/1.07 , clause( 203, [ ~( =( join( sk1, top ), top ) ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 275, [ =( top, join( X, complement( X ) ) ) ] )
% 0.45/1.07 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 276, [ =( top, join( complement( X ), X ) ) ] )
% 0.45/1.07 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , 0, clause( 275, [ =( top, join( X, complement( X ) ) ) ] )
% 0.45/1.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, complement( X ) )] ),
% 0.45/1.07 substitution( 1, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 279, [ =( join( complement( X ), X ), top ) ] )
% 0.45/1.07 , clause( 276, [ =( top, join( complement( X ), X ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 14, [ =( join( complement( X ), X ), top ) ] )
% 0.45/1.07 , clause( 279, [ =( join( complement( X ), X ), top ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 280, [ ~( =( top, join( sk1, top ) ) ) ] )
% 0.45/1.07 , clause( 13, [ ~( =( join( sk1, top ), top ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 281, [ ~( =( top, join( top, sk1 ) ) ) ] )
% 0.45/1.07 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , 0, clause( 280, [ ~( =( top, join( sk1, top ) ) ) ] )
% 0.45/1.07 , 0, 3, substitution( 0, [ :=( X, sk1 ), :=( Y, top )] ), substitution( 1
% 0.45/1.07 , [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 284, [ ~( =( join( top, sk1 ), top ) ) ] )
% 0.45/1.07 , clause( 281, [ ~( =( top, join( top, sk1 ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 15, [ ~( =( join( top, sk1 ), top ) ) ] )
% 0.45/1.07 , clause( 284, [ ~( =( join( top, sk1 ), top ) ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 286, [ =( converse( composition( Y, X ) ), composition( converse( X
% 0.45/1.07 ), converse( Y ) ) ) ] )
% 0.45/1.07 , clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.45/1.07 composition( X, Y ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 288, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.45/1.07 converse( Y ), X ) ) ] )
% 0.45/1.07 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.45/1.07 , 0, clause( 286, [ =( converse( composition( Y, X ) ), composition(
% 0.45/1.07 converse( X ), converse( Y ) ) ) ] )
% 0.45/1.07 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.45/1.07 :=( Y, converse( X ) )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 17, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.45/1.07 converse( Y ), X ) ) ] )
% 0.45/1.07 , clause( 288, [ =( converse( composition( converse( X ), Y ) ),
% 0.45/1.07 composition( converse( Y ), X ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 292, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.45/1.07 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 297, [ =( join( join( X, complement( Y ) ), Y ), join( X, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 14, [ =( join( complement( X ), X ), top ) ] )
% 0.45/1.07 , 0, clause( 292, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.07 :=( Y, complement( Y ) ), :=( Z, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 23, [ =( join( join( Y, complement( X ) ), X ), join( Y, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 297, [ =( join( join( X, complement( Y ) ), Y ), join( X, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 302, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.45/1.07 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 305, [ =( join( join( X, Y ), complement( Y ) ), join( X, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , 0, clause( 302, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.07 :=( Y, Y ), :=( Z, complement( Y ) )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 26, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 305, [ =( join( join( X, Y ), complement( Y ) ), join( X, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 309, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 26, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 312, [ =( join( X, top ), join( complement( Y ), join( X, Y ) ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , 0, clause( 309, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, 4, substitution( 0, [ :=( X, join( X, Y ) ), :=( Y, complement( Y ) )] )
% 0.45/1.07 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 325, [ =( join( X, top ), join( join( complement( Y ), X ), Y ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.45/1.07 , 0, clause( 312, [ =( join( X, top ), join( complement( Y ), join( X, Y )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, 4, substitution( 0, [ :=( X, complement( Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.45/1.07 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 326, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 325, [ =( join( X, top ), join( join( complement( Y ), X ), Y ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 36, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 326, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 328, [ =( join( X, top ), join( join( X, Y ), complement( Y ) ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 26, [ =( join( join( Y, X ), complement( X ) ), join( Y, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 329, [ =( join( X, top ), join( top, complement( complement( X ) )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , 0, clause( 328, [ =( join( X, top ), join( join( X, Y ), complement( Y )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.07 :=( Y, complement( X ) )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 330, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 329, [ =( join( X, top ), join( top, complement( complement( X )
% 0.45/1.07 ) ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 38, [ =( join( top, complement( complement( X ) ) ), join( X, top )
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 330, [ =( join( top, complement( complement( X ) ) ), join( X,
% 0.45/1.07 top ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 331, [ =( join( X, top ), join( top, complement( complement( X ) )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 38, [ =( join( top, complement( complement( X ) ) ), join( X, top
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 333, [ =( join( X, top ), join( complement( complement( X ) ), top
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 0, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.45/1.07 , 0, clause( 331, [ =( join( X, top ), join( top, complement( complement( X
% 0.45/1.07 ) ) ) ) ] )
% 0.45/1.07 , 0, 4, substitution( 0, [ :=( X, top ), :=( Y, complement( complement( X )
% 0.45/1.07 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 339, [ =( join( complement( complement( X ) ), top ), join( X, top
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 333, [ =( join( X, top ), join( complement( complement( X ) ),
% 0.45/1.07 top ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 40, [ =( join( complement( complement( X ) ), top ), join( X, top )
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 339, [ =( join( complement( complement( X ) ), top ), join( X,
% 0.45/1.07 top ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 341, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.45/1.07 complement( Y ) ) ) ) ] )
% 0.45/1.07 , clause( 3, [ =( complement( join( complement( X ), complement( Y ) ) ),
% 0.45/1.07 meet( X, Y ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 344, [ =( meet( X, complement( X ) ), complement( top ) ) ] )
% 0.45/1.07 , clause( 11, [ =( join( X, complement( X ) ), top ) ] )
% 0.45/1.07 , 0, clause( 341, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.45/1.07 complement( Y ) ) ) ) ] )
% 0.45/1.07 , 0, 6, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.45/1.07 :=( X, X ), :=( Y, complement( X ) )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 345, [ =( zero, complement( top ) ) ] )
% 0.45/1.07 , clause( 12, [ =( meet( X, complement( X ) ), zero ) ] )
% 0.45/1.07 , 0, clause( 344, [ =( meet( X, complement( X ) ), complement( top ) ) ] )
% 0.45/1.07 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 346, [ =( complement( top ), zero ) ] )
% 0.45/1.07 , clause( 345, [ =( zero, complement( top ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 71, [ =( complement( top ), zero ) ] )
% 0.45/1.07 , clause( 346, [ =( complement( top ), zero ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 348, [ =( join( X, top ), join( complement( complement( X ) ), top
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , clause( 40, [ =( join( complement( complement( X ) ), top ), join( X, top
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 349, [ =( join( top, top ), join( complement( zero ), top ) ) ] )
% 0.45/1.07 , clause( 71, [ =( complement( top ), zero ) ] )
% 0.45/1.07 , 0, clause( 348, [ =( join( X, top ), join( complement( complement( X ) )
% 0.45/1.07 , top ) ) ] )
% 0.45/1.07 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, top )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 350, [ =( join( complement( zero ), top ), join( top, top ) ) ] )
% 0.45/1.07 , clause( 349, [ =( join( top, top ), join( complement( zero ), top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 77, [ =( join( complement( zero ), top ), join( top, top ) ) ] )
% 0.45/1.07 , clause( 350, [ =( join( complement( zero ), top ), join( top, top ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 352, [ =( composition( converse( Y ), X ), converse( composition(
% 0.45/1.07 converse( X ), Y ) ) ) ] )
% 0.45/1.07 , clause( 17, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.45/1.07 converse( Y ), X ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 355, [ =( composition( converse( one ), X ), converse( converse( X
% 0.45/1.07 ) ) ) ] )
% 0.45/1.07 , clause( 5, [ =( composition( X, one ), X ) ] )
% 0.45/1.07 , 0, clause( 352, [ =( composition( converse( Y ), X ), converse(
% 0.45/1.07 composition( converse( X ), Y ) ) ) ] )
% 0.45/1.07 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 0.45/1.07 :=( X, X ), :=( Y, one )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 356, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.45/1.07 , 0, clause( 355, [ =( composition( converse( one ), X ), converse(
% 0.45/1.07 converse( X ) ) ) ] )
% 0.45/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 154, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 , clause( 356, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 358, [ =( X, composition( converse( one ), X ) ) ] )
% 0.45/1.07 , clause( 154, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 360, [ =( one, converse( one ) ) ] )
% 0.45/1.07 , clause( 5, [ =( composition( X, one ), X ) ] )
% 0.45/1.07 , 0, clause( 358, [ =( X, composition( converse( one ), X ) ) ] )
% 0.45/1.07 , 0, 2, substitution( 0, [ :=( X, converse( one ) )] ), substitution( 1, [
% 0.45/1.07 :=( X, one )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 361, [ =( converse( one ), one ) ] )
% 0.45/1.07 , clause( 360, [ =( one, converse( one ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 160, [ =( converse( one ), one ) ] )
% 0.45/1.07 , clause( 361, [ =( converse( one ), one ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 363, [ =( X, composition( converse( one ), X ) ) ] )
% 0.45/1.07 , clause( 154, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 364, [ =( X, composition( one, X ) ) ] )
% 0.45/1.07 , clause( 160, [ =( converse( one ), one ) ] )
% 0.45/1.07 , 0, clause( 363, [ =( X, composition( converse( one ), X ) ) ] )
% 0.45/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 365, [ =( composition( one, X ), X ) ] )
% 0.45/1.07 , clause( 364, [ =( X, composition( one, X ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 161, [ =( composition( one, X ), X ) ] )
% 0.45/1.07 , clause( 365, [ =( composition( one, X ), X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 367, [ =( complement( Y ), join( composition( converse( X ),
% 0.45/1.07 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 0.45/1.07 , clause( 10, [ =( join( composition( converse( X ), complement(
% 0.45/1.07 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 369, [ =( complement( X ), join( composition( converse( one ),
% 0.45/1.07 complement( X ) ), complement( X ) ) ) ] )
% 0.45/1.07 , clause( 161, [ =( composition( one, X ), X ) ] )
% 0.45/1.07 , 0, clause( 367, [ =( complement( Y ), join( composition( converse( X ),
% 0.45/1.07 complement( composition( X, Y ) ) ), complement( Y ) ) ) ] )
% 0.45/1.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, one ),
% 0.45/1.07 :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 370, [ =( complement( X ), join( complement( X ), complement( X ) )
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 154, [ =( composition( converse( one ), X ), X ) ] )
% 0.45/1.07 , 0, clause( 369, [ =( complement( X ), join( composition( converse( one )
% 0.45/1.07 , complement( X ) ), complement( X ) ) ) ] )
% 0.45/1.07 , 0, 4, substitution( 0, [ :=( X, complement( X ) )] ), substitution( 1, [
% 0.45/1.07 :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 371, [ =( join( complement( X ), complement( X ) ), complement( X )
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 370, [ =( complement( X ), join( complement( X ), complement( X )
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 164, [ =( join( complement( X ), complement( X ) ), complement( X )
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 371, [ =( join( complement( X ), complement( X ) ), complement( X
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 373, [ =( join( X, top ), join( join( X, complement( Y ) ), Y ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 23, [ =( join( join( Y, complement( X ) ), X ), join( Y, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 375, [ =( join( complement( X ), top ), join( complement( X ), X )
% 0.45/1.07 ) ] )
% 0.45/1.07 , clause( 164, [ =( join( complement( X ), complement( X ) ), complement( X
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, clause( 373, [ =( join( X, top ), join( join( X, complement( Y ) ), Y
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.45/1.07 complement( X ) ), :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 376, [ =( join( complement( X ), top ), top ) ] )
% 0.45/1.07 , clause( 14, [ =( join( complement( X ), X ), top ) ] )
% 0.45/1.07 , 0, clause( 375, [ =( join( complement( X ), top ), join( complement( X )
% 0.45/1.07 , X ) ) ] )
% 0.45/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 172, [ =( join( complement( X ), top ), top ) ] )
% 0.45/1.07 , clause( 376, [ =( join( complement( X ), top ), top ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 378, [ =( top, join( complement( X ), top ) ) ] )
% 0.45/1.07 , clause( 172, [ =( join( complement( X ), top ), top ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 380, [ =( top, join( top, top ) ) ] )
% 0.45/1.07 , clause( 77, [ =( join( complement( zero ), top ), join( top, top ) ) ] )
% 0.45/1.07 , 0, clause( 378, [ =( top, join( complement( X ), top ) ) ] )
% 0.45/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, zero )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 381, [ =( join( top, top ), top ) ] )
% 0.45/1.07 , clause( 380, [ =( top, join( top, top ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 184, [ =( join( top, top ), top ) ] )
% 0.45/1.07 , clause( 381, [ =( join( top, top ), top ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 383, [ =( join( Y, top ), join( join( complement( X ), Y ), X ) ) ]
% 0.45/1.07 )
% 0.45/1.07 , clause( 36, [ =( join( join( complement( Y ), X ), Y ), join( X, top ) )
% 0.45/1.07 ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 386, [ =( join( top, top ), join( top, X ) ) ] )
% 0.45/1.07 , clause( 172, [ =( join( complement( X ), top ), top ) ] )
% 0.45/1.07 , 0, clause( 383, [ =( join( Y, top ), join( join( complement( X ), Y ), X
% 0.45/1.07 ) ) ] )
% 0.45/1.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.07 :=( Y, top )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 paramod(
% 0.45/1.07 clause( 387, [ =( top, join( top, X ) ) ] )
% 0.45/1.07 , clause( 184, [ =( join( top, top ), top ) ] )
% 0.45/1.07 , 0, clause( 386, [ =( join( top, top ), join( top, X ) ) ] )
% 0.45/1.07 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 388, [ =( join( top, X ), top ) ] )
% 0.45/1.07 , clause( 387, [ =( top, join( top, X ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 186, [ =( join( top, X ), top ) ] )
% 0.45/1.07 , clause( 388, [ =( join( top, X ), top ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 389, [ =( top, join( top, X ) ) ] )
% 0.45/1.07 , clause( 186, [ =( join( top, X ), top ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 eqswap(
% 0.45/1.07 clause( 390, [ ~( =( top, join( top, sk1 ) ) ) ] )
% 0.45/1.07 , clause( 15, [ ~( =( join( top, sk1 ), top ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 391, [] )
% 0.45/1.07 , clause( 390, [ ~( =( top, join( top, sk1 ) ) ) ] )
% 0.45/1.07 , 0, clause( 389, [ =( top, join( top, X ) ) ] )
% 0.45/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 188, [] )
% 0.45/1.07 , clause( 391, [] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 end.
% 0.45/1.07
% 0.45/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07
% 0.45/1.07 Memory use:
% 0.45/1.07
% 0.45/1.07 space for terms: 2403
% 0.45/1.07 space for clauses: 21193
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 clauses generated: 757
% 0.45/1.07 clauses kept: 189
% 0.45/1.07 clauses selected: 53
% 0.45/1.07 clauses deleted: 2
% 0.45/1.07 clauses inuse deleted: 0
% 0.45/1.07
% 0.45/1.07 subsentry: 964
% 0.45/1.07 literals s-matched: 439
% 0.45/1.07 literals matched: 422
% 0.45/1.07 full subsumption: 0
% 0.45/1.07
% 0.45/1.07 checksum: -2040832960
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Bliksem ended
%------------------------------------------------------------------------------