TSTP Solution File: SET002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% 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 22:45:05 EDT 2022
% Result : Unsatisfiable 0.43s 1.02s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % 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 : Mon Jul 11 10:00:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.02 *** allocated 10000 integers for termspace/termends
% 0.43/1.02 *** allocated 10000 integers for clauses
% 0.43/1.02 *** allocated 10000 integers for justifications
% 0.43/1.02 Bliksem 1.12
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 Automatic Strategy Selection
% 0.43/1.02
% 0.43/1.02 Clauses:
% 0.43/1.02 [
% 0.43/1.02 [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ],
% 0.43/1.02 [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X ) ],
% 0.43/1.02 [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y ) ]
% 0.43/1.02 ,
% 0.43/1.02 [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ],
% 0.43/1.02 [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ],
% 0.43/1.02 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X ) ],
% 0.43/1.02 [ ~( union( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X ), member( T
% 0.43/1.02 , Y ) ],
% 0.43/1.02 [ ~( union( X, Y, Z ) ), ~( member( T, X ) ), member( T, Z ) ],
% 0.43/1.02 [ ~( union( X, Y, Z ) ), ~( member( T, Y ) ), member( T, Z ) ],
% 0.43/1.02 [ union( X, Y, Z ), member( g( X, Y, Z ), X ), member( g( X, Y, Z ), Y )
% 0.43/1.02 , member( g( X, Y, Z ), Z ) ],
% 0.43/1.02 [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z ), Z ) ), union(
% 0.43/1.02 X, Y, Z ) ],
% 0.43/1.02 [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z ), Z ) ), union(
% 0.43/1.02 X, Y, Z ) ],
% 0.43/1.02 [ union( a, a, aUa ) ],
% 0.43/1.02 [ ~( 'equal_sets'( aUa, a ) ) ]
% 0.43/1.02 ] .
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 percentage equality = 0.000000, percentage horn = 0.785714
% 0.43/1.02 This a non-horn, non-equality problem
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 Options Used:
% 0.43/1.02
% 0.43/1.02 useres = 1
% 0.43/1.02 useparamod = 0
% 0.43/1.02 useeqrefl = 0
% 0.43/1.02 useeqfact = 0
% 0.43/1.02 usefactor = 1
% 0.43/1.02 usesimpsplitting = 0
% 0.43/1.02 usesimpdemod = 0
% 0.43/1.02 usesimpres = 3
% 0.43/1.02
% 0.43/1.02 resimpinuse = 1000
% 0.43/1.02 resimpclauses = 20000
% 0.43/1.02 substype = standard
% 0.43/1.02 backwardsubs = 1
% 0.43/1.02 selectoldest = 5
% 0.43/1.02
% 0.43/1.02 litorderings [0] = split
% 0.43/1.02 litorderings [1] = liftord
% 0.43/1.02
% 0.43/1.02 termordering = none
% 0.43/1.02
% 0.43/1.02 litapriori = 1
% 0.43/1.02 termapriori = 0
% 0.43/1.02 litaposteriori = 0
% 0.43/1.02 termaposteriori = 0
% 0.43/1.02 demodaposteriori = 0
% 0.43/1.02 ordereqreflfact = 0
% 0.43/1.02
% 0.43/1.02 litselect = none
% 0.43/1.02
% 0.43/1.02 maxweight = 15
% 0.43/1.02 maxdepth = 30000
% 0.43/1.02 maxlength = 115
% 0.43/1.02 maxnrvars = 195
% 0.43/1.02 excuselevel = 1
% 0.43/1.02 increasemaxweight = 1
% 0.43/1.02
% 0.43/1.02 maxselected = 10000000
% 0.43/1.02 maxnrclauses = 10000000
% 0.43/1.02
% 0.43/1.02 showgenerated = 0
% 0.43/1.02 showkept = 0
% 0.43/1.02 showselected = 0
% 0.43/1.02 showdeleted = 0
% 0.43/1.02 showresimp = 1
% 0.43/1.02 showstatus = 2000
% 0.43/1.02
% 0.43/1.02 prologoutput = 1
% 0.43/1.02 nrgoals = 5000000
% 0.43/1.02 totalproof = 1
% 0.43/1.02
% 0.43/1.02 Symbols occurring in the translation:
% 0.43/1.02
% 0.43/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.02 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.02 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.43/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.02 member [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.02 subset [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.02 'member_of_1_not_of_2' [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.02 'equal_sets' [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.43/1.02 union [49, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.43/1.02 g [50, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.02 a [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.02 aUa [52, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 Starting Search:
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 Bliksems!, er is een bewijs:
% 0.43/1.02 % SZS status Unsatisfiable
% 0.43/1.02 % SZS output start Refutation
% 0.43/1.02
% 0.43/1.02 clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 0.43/1.02 )
% 0.43/1.02 .
% 0.43/1.02 clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 0.43/1.02 ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 5, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X )
% 0.43/1.02 ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 6, [ ~( member( T, Z ) ), member( T, X ), member( T, Y ), ~( union(
% 0.43/1.02 X, Y, Z ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 8, [ ~( member( T, Y ) ), member( T, Z ), ~( union( X, Y, Z ) ) ]
% 0.43/1.02 )
% 0.43/1.02 .
% 0.43/1.02 clause( 12, [ union( a, a, aUa ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 13, [ ~( 'equal_sets'( aUa, a ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 24, [ ~( subset( aUa, a ) ), ~( subset( a, aUa ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 25, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), ~( subset( aUa
% 0.43/1.02 , a ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 26, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), ~(
% 0.43/1.02 subset( aUa, a ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 27, [ member( X, a ), ~( member( X, aUa ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 28, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 29, [ ~( member( 'member_of_1_not_of_2'( aUa, a ), a ) ), member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), a ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 30, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 31, [ ~( member( 'member_of_1_not_of_2'( aUa, a ), a ) ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 32, [ ~( member( X, a ) ), member( X, aUa ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 39, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 40, [ member( 'member_of_1_not_of_2'( aUa, a ), a ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 44, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 45, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 .
% 0.43/1.02 clause( 49, [] )
% 0.43/1.02 .
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 % SZS output end Refutation
% 0.43/1.02 found a proof!
% 0.43/1.02
% 0.43/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.02
% 0.43/1.02 initialclauses(
% 0.43/1.02 [ clause( 51, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ]
% 0.43/1.02 )
% 0.43/1.02 , clause( 52, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X )
% 0.43/1.02 ] )
% 0.43/1.02 , clause( 53, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X
% 0.43/1.02 , Y ) ] )
% 0.43/1.02 , clause( 54, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 0.43/1.02 , clause( 55, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 0.43/1.02 , clause( 56, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y,
% 0.43/1.02 X ) ] )
% 0.43/1.02 , clause( 57, [ ~( union( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X )
% 0.43/1.02 , member( T, Y ) ] )
% 0.43/1.02 , clause( 58, [ ~( union( X, Y, Z ) ), ~( member( T, X ) ), member( T, Z )
% 0.43/1.02 ] )
% 0.43/1.02 , clause( 59, [ ~( union( X, Y, Z ) ), ~( member( T, Y ) ), member( T, Z )
% 0.43/1.02 ] )
% 0.43/1.02 , clause( 60, [ union( X, Y, Z ), member( g( X, Y, Z ), X ), member( g( X,
% 0.43/1.02 Y, Z ), Y ), member( g( X, Y, Z ), Z ) ] )
% 0.43/1.02 , clause( 61, [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z ), Z
% 0.43/1.02 ) ), union( X, Y, Z ) ] )
% 0.43/1.02 , clause( 62, [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z ), Z
% 0.43/1.02 ) ), union( X, Y, Z ) ] )
% 0.43/1.02 , clause( 63, [ union( a, a, aUa ) ] )
% 0.43/1.02 , clause( 64, [ ~( 'equal_sets'( aUa, a ) ) ] )
% 0.43/1.02 ] ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 0.43/1.02 )
% 0.43/1.02 , clause( 52, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X )
% 0.43/1.02 ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.02 ), ==>( 1, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 0.43/1.02 ) ] )
% 0.43/1.02 , clause( 53, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X
% 0.43/1.02 , Y ) ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.02 ), ==>( 1, 1 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 5, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X )
% 0.43/1.02 ] )
% 0.43/1.02 , clause( 56, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y,
% 0.43/1.02 X ) ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.02 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 6, [ ~( member( T, Z ) ), member( T, X ), member( T, Y ), ~( union(
% 0.43/1.02 X, Y, Z ) ) ] )
% 0.43/1.02 , clause( 57, [ ~( union( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X )
% 0.43/1.02 , member( T, Y ) ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.02 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 8, [ ~( member( T, Y ) ), member( T, Z ), ~( union( X, Y, Z ) ) ]
% 0.43/1.02 )
% 0.43/1.02 , clause( 59, [ ~( union( X, Y, Z ) ), ~( member( T, Y ) ), member( T, Z )
% 0.43/1.02 ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.02 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 12, [ union( a, a, aUa ) ] )
% 0.43/1.02 , clause( 63, [ union( a, a, aUa ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 13, [ ~( 'equal_sets'( aUa, a ) ) ] )
% 0.43/1.02 , clause( 64, [ ~( 'equal_sets'( aUa, a ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 86, [ ~( subset( a, aUa ) ), ~( subset( aUa, a ) ) ] )
% 0.43/1.02 , clause( 13, [ ~( 'equal_sets'( aUa, a ) ) ] )
% 0.43/1.02 , 0, clause( 5, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y
% 0.43/1.02 , X ) ] )
% 0.43/1.02 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, aUa )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 24, [ ~( subset( aUa, a ) ), ~( subset( a, aUa ) ) ] )
% 0.43/1.02 , clause( 86, [ ~( subset( a, aUa ) ), ~( subset( aUa, a ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 88, [ ~( subset( aUa, a ) ), member( 'member_of_1_not_of_2'( a, aUa
% 0.43/1.02 ), a ) ] )
% 0.43/1.02 , clause( 24, [ ~( subset( aUa, a ) ), ~( subset( a, aUa ) ) ] )
% 0.43/1.02 , 1, clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 0.43/1.02 ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, aUa )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 25, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), ~( subset( aUa
% 0.43/1.02 , a ) ) ] )
% 0.43/1.02 , clause( 88, [ ~( subset( aUa, a ) ), member( 'member_of_1_not_of_2'( a,
% 0.43/1.02 aUa ), a ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 90, [ ~( subset( aUa, a ) ), ~( member( 'member_of_1_not_of_2'( a,
% 0.43/1.02 aUa ), aUa ) ) ] )
% 0.43/1.02 , clause( 24, [ ~( subset( aUa, a ) ), ~( subset( a, aUa ) ) ] )
% 0.43/1.02 , 1, clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 0.43/1.02 X, Y ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, aUa )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 26, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), ~(
% 0.43/1.02 subset( aUa, a ) ) ] )
% 0.43/1.02 , clause( 90, [ ~( subset( aUa, a ) ), ~( member( 'member_of_1_not_of_2'( a
% 0.43/1.02 , aUa ), aUa ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 91, [ ~( member( X, aUa ) ), member( X, a ), member( X, a ) ] )
% 0.43/1.02 , clause( 6, [ ~( member( T, Z ) ), member( T, X ), member( T, Y ), ~(
% 0.43/1.02 union( X, Y, Z ) ) ] )
% 0.43/1.02 , 3, clause( 12, [ union( a, a, aUa ) ] )
% 0.43/1.02 , 0, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, aUa ), :=( T, X )] )
% 0.43/1.02 , substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 factor(
% 0.43/1.02 clause( 92, [ ~( member( X, aUa ) ), member( X, a ) ] )
% 0.43/1.02 , clause( 91, [ ~( member( X, aUa ) ), member( X, a ), member( X, a ) ] )
% 0.43/1.02 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 27, [ member( X, a ), ~( member( X, aUa ) ) ] )
% 0.43/1.02 , clause( 92, [ ~( member( X, aUa ) ), member( X, a ) ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.43/1.02 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 93, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , clause( 25, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), ~( subset(
% 0.43/1.02 aUa, a ) ) ] )
% 0.43/1.02 , 1, clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 0.43/1.02 ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, aUa ), :=( Y, a )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 28, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , clause( 93, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 94, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), a ) ) ] )
% 0.43/1.02 , clause( 25, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), ~( subset(
% 0.43/1.02 aUa, a ) ) ] )
% 0.43/1.02 , 1, clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 0.43/1.02 X, Y ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, aUa ), :=( Y, a )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 29, [ ~( member( 'member_of_1_not_of_2'( aUa, a ), a ) ), member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), a ) ] )
% 0.43/1.02 , clause( 94, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), a ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 95, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , clause( 26, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), ~(
% 0.43/1.02 subset( aUa, a ) ) ] )
% 0.43/1.02 , 1, clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 0.43/1.02 ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, aUa ), :=( Y, a )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 30, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , clause( 95, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ),
% 0.43/1.02 member( 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 96, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), ~(
% 0.43/1.02 member( 'member_of_1_not_of_2'( aUa, a ), a ) ) ] )
% 0.43/1.02 , clause( 26, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), ~(
% 0.43/1.02 subset( aUa, a ) ) ] )
% 0.43/1.02 , 1, clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 0.43/1.02 X, Y ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, aUa ), :=( Y, a )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 31, [ ~( member( 'member_of_1_not_of_2'( aUa, a ), a ) ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , clause( 96, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ), ~(
% 0.43/1.02 member( 'member_of_1_not_of_2'( aUa, a ), a ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.43/1.02 ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 97, [ ~( member( X, a ) ), member( X, aUa ) ] )
% 0.43/1.02 , clause( 8, [ ~( member( T, Y ) ), member( T, Z ), ~( union( X, Y, Z ) ) ]
% 0.43/1.02 )
% 0.43/1.02 , 2, clause( 12, [ union( a, a, aUa ) ] )
% 0.43/1.02 , 0, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, aUa ), :=( T, X )] )
% 0.43/1.02 , substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 32, [ ~( member( X, a ) ), member( X, aUa ) ] )
% 0.43/1.02 , clause( 97, [ ~( member( X, a ) ), member( X, aUa ) ] )
% 0.43/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.43/1.02 1 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 98, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 , clause( 30, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , 1, clause( 32, [ ~( member( X, a ) ), member( X, aUa ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ) )] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 99, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , clause( 98, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), ~( member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 , 1, clause( 28, [ member( 'member_of_1_not_of_2'( a, aUa ), a ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 factor(
% 0.43/1.02 clause( 100, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , clause( 99, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ), member(
% 0.43/1.02 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , 0, 1, substitution( 0, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 39, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , clause( 100, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 101, [ member( 'member_of_1_not_of_2'( aUa, a ), a ) ] )
% 0.43/1.02 , clause( 27, [ member( X, a ), ~( member( X, aUa ) ) ] )
% 0.43/1.02 , 1, clause( 39, [ member( 'member_of_1_not_of_2'( aUa, a ), aUa ) ] )
% 0.43/1.02 , 0, substitution( 0, [ :=( X, 'member_of_1_not_of_2'( aUa, a ) )] ),
% 0.43/1.02 substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 40, [ member( 'member_of_1_not_of_2'( aUa, a ), a ) ] )
% 0.43/1.02 , clause( 101, [ member( 'member_of_1_not_of_2'( aUa, a ), a ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 102, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , clause( 31, [ ~( member( 'member_of_1_not_of_2'( aUa, a ), a ) ), ~(
% 0.43/1.02 member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , 0, clause( 40, [ member( 'member_of_1_not_of_2'( aUa, a ), a ) ] )
% 0.43/1.02 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 44, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , clause( 102, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 103, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 , clause( 44, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), aUa ) ) ] )
% 0.43/1.02 , 0, clause( 32, [ ~( member( X, a ) ), member( X, aUa ) ] )
% 0.43/1.02 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ) )] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 45, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 , clause( 103, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 104, [ member( 'member_of_1_not_of_2'( a, aUa ), a ) ] )
% 0.43/1.02 , clause( 29, [ ~( member( 'member_of_1_not_of_2'( aUa, a ), a ) ), member(
% 0.43/1.02 'member_of_1_not_of_2'( a, aUa ), a ) ] )
% 0.43/1.02 , 0, clause( 40, [ member( 'member_of_1_not_of_2'( aUa, a ), a ) ] )
% 0.43/1.02 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 resolution(
% 0.43/1.02 clause( 105, [] )
% 0.43/1.02 , clause( 45, [ ~( member( 'member_of_1_not_of_2'( a, aUa ), a ) ) ] )
% 0.43/1.02 , 0, clause( 104, [ member( 'member_of_1_not_of_2'( a, aUa ), a ) ] )
% 0.43/1.02 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 subsumption(
% 0.43/1.02 clause( 49, [] )
% 0.43/1.02 , clause( 105, [] )
% 0.43/1.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 end.
% 0.43/1.02
% 0.43/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.02
% 0.43/1.02 Memory use:
% 0.43/1.02
% 0.43/1.02 space for terms: 1059
% 0.43/1.02 space for clauses: 2574
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 clauses generated: 118
% 0.43/1.02 clauses kept: 50
% 0.43/1.02 clauses selected: 29
% 0.43/1.02 clauses deleted: 4
% 0.43/1.02 clauses inuse deleted: 0
% 0.43/1.02
% 0.43/1.02 subsentry: 98
% 0.43/1.02 literals s-matched: 46
% 0.43/1.02 literals matched: 33
% 0.43/1.02 full subsumption: 13
% 0.43/1.02
% 0.43/1.02 checksum: 956836272
% 0.43/1.02
% 0.43/1.02
% 0.43/1.02 Bliksem ended
%------------------------------------------------------------------------------