TSTP Solution File: SET005-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 22:45:09 EDT 2022
% Result : Unsatisfiable 0.73s 1.23s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 12:39:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.23 *** allocated 10000 integers for termspace/termends
% 0.73/1.23 *** allocated 10000 integers for clauses
% 0.73/1.23 *** allocated 10000 integers for justifications
% 0.73/1.23 Bliksem 1.12
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 Automatic Strategy Selection
% 0.73/1.23
% 0.73/1.23 Clauses:
% 0.73/1.23 [
% 0.73/1.23 [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ],
% 0.73/1.23 [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X ) ],
% 0.73/1.23 [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y ) ]
% 0.73/1.23 ,
% 0.73/1.23 [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ],
% 0.73/1.23 [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ],
% 0.73/1.23 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X ) ],
% 0.73/1.23 [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X ) ]
% 0.73/1.23 ,
% 0.73/1.23 [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member( T, Y ) ]
% 0.73/1.23 ,
% 0.73/1.23 [ ~( intersection( X, Y, Z ) ), ~( member( T, Y ) ), ~( member( T, X ) )
% 0.73/1.23 , member( T, Z ) ],
% 0.73/1.23 [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member( h( X, Y, Z
% 0.73/1.23 ), X ) ],
% 0.73/1.23 [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member( h( X, Y, Z
% 0.73/1.23 ), Y ) ],
% 0.73/1.23 [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z ), Y ) ), ~(
% 0.73/1.23 member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ],
% 0.73/1.23 [ intersection( a, b, aIb ) ],
% 0.73/1.23 [ intersection( b, c, bIc ) ],
% 0.73/1.23 [ intersection( a, bIc, aIbIc ) ],
% 0.73/1.23 [ ~( intersection( aIb, c, aIbIc ) ) ]
% 0.73/1.23 ] .
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 percentage equality = 0.000000, percentage horn = 0.812500
% 0.73/1.23 This a non-horn, non-equality problem
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 Options Used:
% 0.73/1.23
% 0.73/1.23 useres = 1
% 0.73/1.23 useparamod = 0
% 0.73/1.23 useeqrefl = 0
% 0.73/1.23 useeqfact = 0
% 0.73/1.23 usefactor = 1
% 0.73/1.23 usesimpsplitting = 0
% 0.73/1.23 usesimpdemod = 0
% 0.73/1.23 usesimpres = 3
% 0.73/1.23
% 0.73/1.23 resimpinuse = 1000
% 0.73/1.23 resimpclauses = 20000
% 0.73/1.23 substype = standard
% 0.73/1.23 backwardsubs = 1
% 0.73/1.23 selectoldest = 5
% 0.73/1.23
% 0.73/1.23 litorderings [0] = split
% 0.73/1.23 litorderings [1] = liftord
% 0.73/1.23
% 0.73/1.23 termordering = none
% 0.73/1.23
% 0.73/1.23 litapriori = 1
% 0.73/1.23 termapriori = 0
% 0.73/1.23 litaposteriori = 0
% 0.73/1.23 termaposteriori = 0
% 0.73/1.23 demodaposteriori = 0
% 0.73/1.23 ordereqreflfact = 0
% 0.73/1.23
% 0.73/1.23 litselect = none
% 0.73/1.23
% 0.73/1.23 maxweight = 15
% 0.73/1.23 maxdepth = 30000
% 0.73/1.23 maxlength = 115
% 0.73/1.23 maxnrvars = 195
% 0.73/1.23 excuselevel = 1
% 0.73/1.23 increasemaxweight = 1
% 0.73/1.23
% 0.73/1.23 maxselected = 10000000
% 0.73/1.23 maxnrclauses = 10000000
% 0.73/1.23
% 0.73/1.23 showgenerated = 0
% 0.73/1.23 showkept = 0
% 0.73/1.23 showselected = 0
% 0.73/1.23 showdeleted = 0
% 0.73/1.23 showresimp = 1
% 0.73/1.23 showstatus = 2000
% 0.73/1.23
% 0.73/1.23 prologoutput = 1
% 0.73/1.23 nrgoals = 5000000
% 0.73/1.23 totalproof = 1
% 0.73/1.23
% 0.73/1.23 Symbols occurring in the translation:
% 0.73/1.23
% 0.73/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.23 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.23 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.73/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.23 member [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.23 subset [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.23 'member_of_1_not_of_2' [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.73/1.23 'equal_sets' [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.73/1.23 intersection [49, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.73/1.23 h [50, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.23 a [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.23 b [52, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.23 aIb [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.23 c [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.23 bIc [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.23 aIbIc [56, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 Starting Search:
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 Bliksems!, er is een bewijs:
% 0.73/1.23 % SZS status Unsatisfiable
% 0.73/1.23 % SZS output start Refutation
% 0.73/1.23
% 0.73/1.23 clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 0.73/1.23 )
% 0.73/1.23 .
% 0.73/1.23 clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 0.73/1.23 ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 6, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y, Z
% 0.73/1.23 ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 7, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y, Z
% 0.73/1.23 ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 8, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ), ~(
% 0.73/1.23 intersection( X, Y, Z ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 9, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), X ),
% 0.73/1.23 intersection( X, Y, Z ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 10, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), Y ),
% 0.73/1.23 intersection( X, Y, Z ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 11, [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z ), Y )
% 0.73/1.23 ), ~( member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 12, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 13, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 14, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 15, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 24, [ ~( member( Z, X ) ), member( Z, Y ), ~( member(
% 0.73/1.23 'member_of_1_not_of_2'( X, Y ), Y ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 25, [ ~( member( Z, X ) ), member( Z, Y ), member(
% 0.73/1.23 'member_of_1_not_of_2'( X, Y ), X ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 26, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 27, [ ~( member( X, bIc ) ), member( X, c ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 28, [ ~( member( X, aIbIc ) ), member( X, bIc ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 29, [ member( X, a ), ~( member( X, aIb ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 30, [ member( X, b ), ~( member( X, bIc ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 31, [ member( X, a ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 32, [ ~( member( X, aIbIc ) ), member( X, b ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 33, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, b ) ) ]
% 0.73/1.23 )
% 0.73/1.23 .
% 0.73/1.23 clause( 34, [ ~( member( X, b ) ), member( X, bIc ), ~( member( X, c ) ) ]
% 0.73/1.23 )
% 0.73/1.23 .
% 0.73/1.23 clause( 35, [ ~( member( X, a ) ), member( X, aIbIc ), ~( member( X, bIc )
% 0.73/1.23 ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 36, [ member( X, aIb ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 40, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 42, [ member( h( aIb, c, aIbIc ), a ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 45, [ member( h( X, Y, Z ), Y ), ~( member( T, Z ) ), member( T, Y
% 0.73/1.23 ), member( h( X, Y, Z ), Z ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 46, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c, aIbIc
% 0.73/1.23 ), c ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 53, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb,
% 0.73/1.23 c, aIbIc ), c ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 56, [ member( 'member_of_1_not_of_2'( aIb, X ), aIb ), member( h(
% 0.73/1.23 aIb, c, aIbIc ), X ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 97, [ ~( member( 'member_of_1_not_of_2'( Y, b ), aIb ) ), member( X
% 0.73/1.23 , b ), ~( member( X, Y ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 211, [ member( h( aIb, c, aIbIc ), b ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 265, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 339, [ ~( member( X, aIbIc ) ), member( X, c ), member( h( aIb, c,
% 0.73/1.23 aIbIc ), c ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 355, [ member( h( aIb, c, aIbIc ), c ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 482, [ member( h( aIb, c, aIbIc ), bIc ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 490, [ member( h( aIb, c, aIbIc ), aIbIc ) ] )
% 0.73/1.23 .
% 0.73/1.23 clause( 517, [] )
% 0.73/1.23 .
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 % SZS output end Refutation
% 0.73/1.23 found a proof!
% 0.73/1.23
% 0.73/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.23
% 0.73/1.23 initialclauses(
% 0.73/1.23 [ clause( 519, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ]
% 0.73/1.23 )
% 0.73/1.23 , clause( 520, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X
% 0.73/1.23 ) ] )
% 0.73/1.23 , clause( 521, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 0.73/1.23 X, Y ) ] )
% 0.73/1.23 , clause( 522, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 0.73/1.23 , clause( 523, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 0.73/1.23 , clause( 524, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y
% 0.73/1.23 , X ) ] )
% 0.73/1.23 , clause( 525, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member(
% 0.73/1.23 T, X ) ] )
% 0.73/1.23 , clause( 526, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member(
% 0.73/1.23 T, Y ) ] )
% 0.73/1.23 , clause( 527, [ ~( intersection( X, Y, Z ) ), ~( member( T, Y ) ), ~(
% 0.73/1.23 member( T, X ) ), member( T, Z ) ] )
% 0.73/1.23 , clause( 528, [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member(
% 0.73/1.23 h( X, Y, Z ), X ) ] )
% 0.73/1.23 , clause( 529, [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member(
% 0.73/1.23 h( X, Y, Z ), Y ) ] )
% 0.73/1.23 , clause( 530, [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z ), Y
% 0.73/1.23 ) ), ~( member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ] )
% 0.73/1.23 , clause( 531, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 , clause( 532, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 , clause( 533, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 , clause( 534, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.73/1.23 ] ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ] )
% 0.73/1.23 , clause( 519, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ]
% 0.73/1.23 )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y ) ]
% 0.73/1.23 )
% 0.73/1.23 , clause( 520, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X
% 0.73/1.23 ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.23 ), ==>( 1, 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y
% 0.73/1.23 ) ] )
% 0.73/1.23 , clause( 521, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 0.73/1.23 X, Y ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.23 ), ==>( 1, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 6, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y, Z
% 0.73/1.23 ) ) ] )
% 0.73/1.23 , clause( 525, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member(
% 0.73/1.23 T, X ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 7, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y, Z
% 0.73/1.23 ) ) ] )
% 0.73/1.23 , clause( 526, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member(
% 0.73/1.23 T, Y ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 8, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ), ~(
% 0.73/1.23 intersection( X, Y, Z ) ) ] )
% 0.73/1.23 , clause( 527, [ ~( intersection( X, Y, Z ) ), ~( member( T, Y ) ), ~(
% 0.73/1.23 member( T, X ) ), member( T, Z ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.73/1.23 ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 9, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), X ),
% 0.73/1.23 intersection( X, Y, Z ) ] )
% 0.73/1.23 , clause( 528, [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member(
% 0.73/1.23 h( X, Y, Z ), X ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 10, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), Y ),
% 0.73/1.23 intersection( X, Y, Z ) ] )
% 0.73/1.23 , clause( 529, [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member(
% 0.73/1.23 h( X, Y, Z ), Y ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 11, [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z ), Y )
% 0.73/1.23 ), ~( member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ] )
% 0.73/1.23 , clause( 530, [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z ), Y
% 0.73/1.23 ) ), ~( member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.73/1.23 ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 12, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 , clause( 531, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 13, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 , clause( 532, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 14, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 , clause( 533, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 15, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.73/1.23 , clause( 534, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.73/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 587, [ ~( member( X, Y ) ), member( X, Z ), ~( member(
% 0.73/1.23 'member_of_1_not_of_2'( Y, Z ), Z ) ) ] )
% 0.73/1.23 , clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 0.73/1.23 )
% 0.73/1.23 , 2, clause( 2, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 0.73/1.23 X, Y ) ] )
% 0.73/1.23 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.23 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 24, [ ~( member( Z, X ) ), member( Z, Y ), ~( member(
% 0.73/1.23 'member_of_1_not_of_2'( X, Y ), Y ) ) ] )
% 0.73/1.23 , clause( 587, [ ~( member( X, Y ) ), member( X, Z ), ~( member(
% 0.73/1.23 'member_of_1_not_of_2'( Y, Z ), Z ) ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 590, [ ~( member( X, Y ) ), member( X, Z ), member(
% 0.73/1.23 'member_of_1_not_of_2'( Y, Z ), Y ) ] )
% 0.73/1.23 , clause( 0, [ ~( member( X, Y ) ), member( X, Z ), ~( subset( Y, Z ) ) ]
% 0.73/1.23 )
% 0.73/1.23 , 2, clause( 1, [ member( 'member_of_1_not_of_2'( X, Y ), X ), subset( X, Y
% 0.73/1.23 ) ] )
% 0.73/1.23 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.23 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 25, [ ~( member( Z, X ) ), member( Z, Y ), member(
% 0.73/1.23 'member_of_1_not_of_2'( X, Y ), X ) ] )
% 0.73/1.23 , clause( 590, [ ~( member( X, Y ) ), member( X, Z ), member(
% 0.73/1.23 'member_of_1_not_of_2'( Y, Z ), Y ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.73/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 592, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 0.73/1.23 , clause( 7, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y,
% 0.73/1.23 Z ) ) ] )
% 0.73/1.23 , 2, clause( 12, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, aIb ), :=( T, X )] )
% 0.73/1.23 , substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 26, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 0.73/1.23 , clause( 592, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.23 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 593, [ ~( member( X, bIc ) ), member( X, c ) ] )
% 0.73/1.23 , clause( 7, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y,
% 0.73/1.23 Z ) ) ] )
% 0.73/1.23 , 2, clause( 13, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, bIc ), :=( T, X )] )
% 0.73/1.23 , substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 27, [ ~( member( X, bIc ) ), member( X, c ) ] )
% 0.73/1.23 , clause( 593, [ ~( member( X, bIc ) ), member( X, c ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.23 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 594, [ ~( member( X, aIbIc ) ), member( X, bIc ) ] )
% 0.73/1.23 , clause( 7, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y,
% 0.73/1.23 Z ) ) ] )
% 0.73/1.23 , 2, clause( 14, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, a ), :=( Y, bIc ), :=( Z, aIbIc ), :=( T, X
% 0.73/1.23 )] ), substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 28, [ ~( member( X, aIbIc ) ), member( X, bIc ) ] )
% 0.73/1.23 , clause( 594, [ ~( member( X, aIbIc ) ), member( X, bIc ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.23 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 595, [ ~( member( X, aIb ) ), member( X, a ) ] )
% 0.73/1.23 , clause( 6, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y,
% 0.73/1.23 Z ) ) ] )
% 0.73/1.23 , 2, clause( 12, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, aIb ), :=( T, X )] )
% 0.73/1.23 , substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 29, [ member( X, a ), ~( member( X, aIb ) ) ] )
% 0.73/1.23 , clause( 595, [ ~( member( X, aIb ) ), member( X, a ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.23 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 596, [ ~( member( X, bIc ) ), member( X, b ) ] )
% 0.73/1.23 , clause( 6, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y,
% 0.73/1.23 Z ) ) ] )
% 0.73/1.23 , 2, clause( 13, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, bIc ), :=( T, X )] )
% 0.73/1.23 , substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 30, [ member( X, b ), ~( member( X, bIc ) ) ] )
% 0.73/1.23 , clause( 596, [ ~( member( X, bIc ) ), member( X, b ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.23 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 597, [ ~( member( X, aIbIc ) ), member( X, a ) ] )
% 0.73/1.23 , clause( 6, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y,
% 0.73/1.23 Z ) ) ] )
% 0.73/1.23 , 2, clause( 14, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, a ), :=( Y, bIc ), :=( Z, aIbIc ), :=( T, X
% 0.73/1.23 )] ), substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 31, [ member( X, a ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 , clause( 597, [ ~( member( X, aIbIc ) ), member( X, a ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.23 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 598, [ member( X, b ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 , clause( 30, [ member( X, b ), ~( member( X, bIc ) ) ] )
% 0.73/1.23 , 1, clause( 28, [ ~( member( X, aIbIc ) ), member( X, bIc ) ] )
% 0.73/1.23 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.23 ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 32, [ ~( member( X, aIbIc ) ), member( X, b ) ] )
% 0.73/1.23 , clause( 598, [ member( X, b ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.23 0 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 599, [ ~( member( X, b ) ), ~( member( X, a ) ), member( X, aIb ) ]
% 0.73/1.23 )
% 0.73/1.23 , clause( 8, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ),
% 0.73/1.23 ~( intersection( X, Y, Z ) ) ] )
% 0.73/1.23 , 3, clause( 12, [ intersection( a, b, aIb ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, aIb ), :=( T, X )] )
% 0.73/1.23 , substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 33, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, b ) ) ]
% 0.73/1.23 )
% 0.73/1.23 , clause( 599, [ ~( member( X, b ) ), ~( member( X, a ) ), member( X, aIb )
% 0.73/1.23 ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.23 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 600, [ ~( member( X, c ) ), ~( member( X, b ) ), member( X, bIc ) ]
% 0.73/1.23 )
% 0.73/1.23 , clause( 8, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ),
% 0.73/1.23 ~( intersection( X, Y, Z ) ) ] )
% 0.73/1.23 , 3, clause( 13, [ intersection( b, c, bIc ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, bIc ), :=( T, X )] )
% 0.73/1.23 , substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 34, [ ~( member( X, b ) ), member( X, bIc ), ~( member( X, c ) ) ]
% 0.73/1.23 )
% 0.73/1.23 , clause( 600, [ ~( member( X, c ) ), ~( member( X, b ) ), member( X, bIc )
% 0.73/1.23 ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.23 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 601, [ ~( member( X, bIc ) ), ~( member( X, a ) ), member( X, aIbIc
% 0.73/1.23 ) ] )
% 0.73/1.23 , clause( 8, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ),
% 0.73/1.23 ~( intersection( X, Y, Z ) ) ] )
% 0.73/1.23 , 3, clause( 14, [ intersection( a, bIc, aIbIc ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, a ), :=( Y, bIc ), :=( Z, aIbIc ), :=( T, X
% 0.73/1.23 )] ), substitution( 1, [] )).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 subsumption(
% 0.73/1.23 clause( 35, [ ~( member( X, a ) ), member( X, aIbIc ), ~( member( X, bIc )
% 0.73/1.23 ) ] )
% 0.73/1.23 , clause( 601, [ ~( member( X, bIc ) ), ~( member( X, a ) ), member( X,
% 0.73/1.23 aIbIc ) ] )
% 0.73/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.73/1.23 0 ), ==>( 2, 1 )] ) ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 602, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, aIbIc )
% 0.73/1.23 ) ] )
% 0.73/1.23 , clause( 33, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, b ) )
% 0.73/1.23 ] )
% 0.73/1.23 , 2, clause( 32, [ ~( member( X, aIbIc ) ), member( X, b ) ] )
% 0.73/1.23 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.23 ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 resolution(
% 0.73/1.23 clause( 603, [ member( X, aIb ), ~( member( X, aIbIc ) ), ~( member( X,
% 0.73/1.23 aIbIc ) ) ] )
% 0.73/1.23 , clause( 602, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, aIbIc
% 0.73/1.23 ) ) ] )
% 0.73/1.23 , 0, clause( 31, [ member( X, a ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.23 ).
% 0.73/1.23
% 0.73/1.23
% 0.73/1.23 factor(
% 0.73/1.23 clause( 604, [ member( X, aIb ), ~( member( X, aIbIc ) ) ] )
% 0.73/1.23 , clause( 603, [ member( X, aIb ), ~( member( X, aIbIc ) ), ~( member( X,
% 0.73/1.23 aIbIc ) ) ] )
% 0.73/1.23 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 36, [ member( X, aIb ), ~( member( X, aIbIc ) ) ] )
% 0.87/1.23 , clause( 604, [ member( X, aIb ), ~( member( X, aIbIc ) ) ] )
% 0.87/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.87/1.23 1 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 605, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), aIb ) ] )
% 0.87/1.23 , clause( 15, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.87/1.23 , 0, clause( 9, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), X ),
% 0.87/1.23 intersection( X, Y, Z ) ] )
% 0.87/1.23 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, aIb ), :=( Y, c ),
% 0.87/1.23 :=( Z, aIbIc )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 606, [ member( h( aIb, c, aIbIc ), aIb ), member( h( aIb, c, aIbIc
% 0.87/1.23 ), aIb ) ] )
% 0.87/1.23 , clause( 36, [ member( X, aIb ), ~( member( X, aIbIc ) ) ] )
% 0.87/1.23 , 1, clause( 605, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c
% 0.87/1.23 , aIbIc ), aIb ) ] )
% 0.87/1.23 , 0, substitution( 0, [ :=( X, h( aIb, c, aIbIc ) )] ), substitution( 1, [] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 factor(
% 0.87/1.23 clause( 607, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , clause( 606, [ member( h( aIb, c, aIbIc ), aIb ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), aIb ) ] )
% 0.87/1.23 , 0, 1, substitution( 0, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 40, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , clause( 607, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 608, [ member( h( aIb, c, aIbIc ), a ) ] )
% 0.87/1.23 , clause( 29, [ member( X, a ), ~( member( X, aIb ) ) ] )
% 0.87/1.23 , 1, clause( 40, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , 0, substitution( 0, [ :=( X, h( aIb, c, aIbIc ) )] ), substitution( 1, [] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 42, [ member( h( aIb, c, aIbIc ), a ) ] )
% 0.87/1.23 , clause( 608, [ member( h( aIb, c, aIbIc ), a ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 611, [ ~( member( X, Y ) ), member( X, Z ), member( h( T, Z, Y ), Y
% 0.87/1.23 ), member( h( T, Z, Y ), Z ) ] )
% 0.87/1.23 , clause( 7, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y,
% 0.87/1.23 Z ) ) ] )
% 0.87/1.23 , 2, clause( 10, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), Y ),
% 0.87/1.23 intersection( X, Y, Z ) ] )
% 0.87/1.23 , 2, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, X )] ),
% 0.87/1.23 substitution( 1, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 45, [ member( h( X, Y, Z ), Y ), ~( member( T, Z ) ), member( T, Y
% 0.87/1.23 ), member( h( X, Y, Z ), Z ) ] )
% 0.87/1.23 , clause( 611, [ ~( member( X, Y ) ), member( X, Z ), member( h( T, Z, Y )
% 0.87/1.23 , Y ), member( h( T, Z, Y ), Z ) ] )
% 0.87/1.23 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, X )] ),
% 0.87/1.23 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 0 )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 618, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), c ) ] )
% 0.87/1.23 , clause( 15, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.87/1.23 , 0, clause( 10, [ member( h( X, Y, Z ), Z ), member( h( X, Y, Z ), Y ),
% 0.87/1.23 intersection( X, Y, Z ) ] )
% 0.87/1.23 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, aIb ), :=( Y, c ),
% 0.87/1.23 :=( Z, aIbIc )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 46, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c, aIbIc
% 0.87/1.23 ), c ) ] )
% 0.87/1.23 , clause( 618, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), c ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 619, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb
% 0.87/1.23 , c, aIbIc ), c ) ), ~( member( h( aIb, c, aIbIc ), aIb ) ) ] )
% 0.87/1.23 , clause( 15, [ ~( intersection( aIb, c, aIbIc ) ) ] )
% 0.87/1.23 , 0, clause( 11, [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z )
% 0.87/1.23 , Y ) ), ~( member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ] )
% 0.87/1.23 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, aIb ), :=( Y, c ),
% 0.87/1.23 :=( Z, aIbIc )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 620, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb
% 0.87/1.23 , c, aIbIc ), c ) ) ] )
% 0.87/1.23 , clause( 619, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h(
% 0.87/1.23 aIb, c, aIbIc ), c ) ), ~( member( h( aIb, c, aIbIc ), aIb ) ) ] )
% 0.87/1.23 , 2, clause( 40, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 53, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb,
% 0.87/1.23 c, aIbIc ), c ) ) ] )
% 0.87/1.23 , clause( 620, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h(
% 0.87/1.23 aIb, c, aIbIc ), c ) ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 621, [ member( h( aIb, c, aIbIc ), X ), member(
% 0.87/1.23 'member_of_1_not_of_2'( aIb, X ), aIb ) ] )
% 0.87/1.23 , clause( 25, [ ~( member( Z, X ) ), member( Z, Y ), member(
% 0.87/1.23 'member_of_1_not_of_2'( X, Y ), X ) ] )
% 0.87/1.23 , 0, clause( 40, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , 0, substitution( 0, [ :=( X, aIb ), :=( Y, X ), :=( Z, h( aIb, c, aIbIc )
% 0.87/1.23 )] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 56, [ member( 'member_of_1_not_of_2'( aIb, X ), aIb ), member( h(
% 0.87/1.23 aIb, c, aIbIc ), X ) ] )
% 0.87/1.23 , clause( 621, [ member( h( aIb, c, aIbIc ), X ), member(
% 0.87/1.23 'member_of_1_not_of_2'( aIb, X ), aIb ) ] )
% 0.87/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.87/1.23 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 623, [ ~( member( X, Y ) ), member( X, b ), ~( member(
% 0.87/1.23 'member_of_1_not_of_2'( Y, b ), aIb ) ) ] )
% 0.87/1.23 , clause( 24, [ ~( member( Z, X ) ), member( Z, Y ), ~( member(
% 0.87/1.23 'member_of_1_not_of_2'( X, Y ), Y ) ) ] )
% 0.87/1.23 , 2, clause( 26, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 0.87/1.23 , 1, substitution( 0, [ :=( X, Y ), :=( Y, b ), :=( Z, X )] ),
% 0.87/1.23 substitution( 1, [ :=( X, 'member_of_1_not_of_2'( Y, b ) )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 97, [ ~( member( 'member_of_1_not_of_2'( Y, b ), aIb ) ), member( X
% 0.87/1.23 , b ), ~( member( X, Y ) ) ] )
% 0.87/1.23 , clause( 623, [ ~( member( X, Y ) ), member( X, b ), ~( member(
% 0.87/1.23 'member_of_1_not_of_2'( Y, b ), aIb ) ) ] )
% 0.87/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.87/1.23 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 626, [ ~( member( 'member_of_1_not_of_2'( aIb, b ), aIb ) ), member(
% 0.87/1.23 h( aIb, c, aIbIc ), b ) ] )
% 0.87/1.23 , clause( 97, [ ~( member( 'member_of_1_not_of_2'( Y, b ), aIb ) ), member(
% 0.87/1.23 X, b ), ~( member( X, Y ) ) ] )
% 0.87/1.23 , 2, clause( 40, [ member( h( aIb, c, aIbIc ), aIb ) ] )
% 0.87/1.23 , 0, substitution( 0, [ :=( X, h( aIb, c, aIbIc ) ), :=( Y, aIb )] ),
% 0.87/1.23 substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 627, [ member( h( aIb, c, aIbIc ), b ), member( h( aIb, c, aIbIc )
% 0.87/1.23 , b ) ] )
% 0.87/1.23 , clause( 626, [ ~( member( 'member_of_1_not_of_2'( aIb, b ), aIb ) ),
% 0.87/1.23 member( h( aIb, c, aIbIc ), b ) ] )
% 0.87/1.23 , 0, clause( 56, [ member( 'member_of_1_not_of_2'( aIb, X ), aIb ), member(
% 0.87/1.23 h( aIb, c, aIbIc ), X ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 factor(
% 0.87/1.23 clause( 628, [ member( h( aIb, c, aIbIc ), b ) ] )
% 0.87/1.23 , clause( 627, [ member( h( aIb, c, aIbIc ), b ), member( h( aIb, c, aIbIc
% 0.87/1.23 ), b ) ] )
% 0.87/1.23 , 0, 1, substitution( 0, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 211, [ member( h( aIb, c, aIbIc ), b ) ] )
% 0.87/1.23 , clause( 628, [ member( h( aIb, c, aIbIc ), b ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 629, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb
% 0.87/1.23 , c, aIbIc ), bIc ) ) ] )
% 0.87/1.23 , clause( 53, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb
% 0.87/1.23 , c, aIbIc ), c ) ) ] )
% 0.87/1.23 , 1, clause( 27, [ ~( member( X, bIc ) ), member( X, c ) ] )
% 0.87/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, h( aIb, c, aIbIc ) )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 630, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h( aIb
% 0.87/1.23 , c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , clause( 629, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h(
% 0.87/1.23 aIb, c, aIbIc ), bIc ) ) ] )
% 0.87/1.23 , 1, clause( 28, [ ~( member( X, aIbIc ) ), member( X, bIc ) ] )
% 0.87/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, h( aIb, c, aIbIc ) )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 factor(
% 0.87/1.23 clause( 631, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , clause( 630, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), ~( member( h(
% 0.87/1.23 aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , 0, 1, substitution( 0, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 265, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , clause( 631, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 633, [ member( h( aIb, c, aIbIc ), c ), ~( member( X, aIbIc ) ),
% 0.87/1.23 member( X, c ) ] )
% 0.87/1.23 , clause( 265, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , 0, clause( 45, [ member( h( X, Y, Z ), Y ), ~( member( T, Z ) ), member(
% 0.87/1.23 T, Y ), member( h( X, Y, Z ), Z ) ] )
% 0.87/1.23 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, aIb ), :=( Y, c ),
% 0.87/1.23 :=( Z, aIbIc ), :=( T, X )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 339, [ ~( member( X, aIbIc ) ), member( X, c ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), c ) ] )
% 0.87/1.23 , clause( 633, [ member( h( aIb, c, aIbIc ), c ), ~( member( X, aIbIc ) ),
% 0.87/1.23 member( X, c ) ] )
% 0.87/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.87/1.23 0 ), ==>( 2, 1 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 factor(
% 0.87/1.23 clause( 636, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), member( h( aIb, c
% 0.87/1.23 , aIbIc ), c ) ] )
% 0.87/1.23 , clause( 339, [ ~( member( X, aIbIc ) ), member( X, c ), member( h( aIb, c
% 0.87/1.23 , aIbIc ), c ) ] )
% 0.87/1.23 , 1, 2, substitution( 0, [ :=( X, h( aIb, c, aIbIc ) )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 637, [ member( h( aIb, c, aIbIc ), c ), member( h( aIb, c, aIbIc )
% 0.87/1.23 , c ) ] )
% 0.87/1.23 , clause( 636, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ), member( h( aIb,
% 0.87/1.23 c, aIbIc ), c ) ] )
% 0.87/1.23 , 0, clause( 46, [ member( h( aIb, c, aIbIc ), aIbIc ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), c ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 factor(
% 0.87/1.23 clause( 638, [ member( h( aIb, c, aIbIc ), c ) ] )
% 0.87/1.23 , clause( 637, [ member( h( aIb, c, aIbIc ), c ), member( h( aIb, c, aIbIc
% 0.87/1.23 ), c ) ] )
% 0.87/1.23 , 0, 1, substitution( 0, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 355, [ member( h( aIb, c, aIbIc ), c ) ] )
% 0.87/1.23 , clause( 638, [ member( h( aIb, c, aIbIc ), c ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 639, [ ~( member( h( aIb, c, aIbIc ), b ) ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), bIc ) ] )
% 0.87/1.23 , clause( 34, [ ~( member( X, b ) ), member( X, bIc ), ~( member( X, c ) )
% 0.87/1.23 ] )
% 0.87/1.23 , 2, clause( 355, [ member( h( aIb, c, aIbIc ), c ) ] )
% 0.87/1.23 , 0, substitution( 0, [ :=( X, h( aIb, c, aIbIc ) )] ), substitution( 1, [] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 640, [ member( h( aIb, c, aIbIc ), bIc ) ] )
% 0.87/1.23 , clause( 639, [ ~( member( h( aIb, c, aIbIc ), b ) ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), bIc ) ] )
% 0.87/1.23 , 0, clause( 211, [ member( h( aIb, c, aIbIc ), b ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 482, [ member( h( aIb, c, aIbIc ), bIc ) ] )
% 0.87/1.23 , clause( 640, [ member( h( aIb, c, aIbIc ), bIc ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 641, [ ~( member( h( aIb, c, aIbIc ), a ) ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), aIbIc ) ] )
% 0.87/1.23 , clause( 35, [ ~( member( X, a ) ), member( X, aIbIc ), ~( member( X, bIc
% 0.87/1.23 ) ) ] )
% 0.87/1.23 , 2, clause( 482, [ member( h( aIb, c, aIbIc ), bIc ) ] )
% 0.87/1.23 , 0, substitution( 0, [ :=( X, h( aIb, c, aIbIc ) )] ), substitution( 1, [] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 642, [ member( h( aIb, c, aIbIc ), aIbIc ) ] )
% 0.87/1.23 , clause( 641, [ ~( member( h( aIb, c, aIbIc ), a ) ), member( h( aIb, c,
% 0.87/1.23 aIbIc ), aIbIc ) ] )
% 0.87/1.23 , 0, clause( 42, [ member( h( aIb, c, aIbIc ), a ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 490, [ member( h( aIb, c, aIbIc ), aIbIc ) ] )
% 0.87/1.23 , clause( 642, [ member( h( aIb, c, aIbIc ), aIbIc ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 643, [] )
% 0.87/1.23 , clause( 265, [ ~( member( h( aIb, c, aIbIc ), aIbIc ) ) ] )
% 0.87/1.23 , 0, clause( 490, [ member( h( aIb, c, aIbIc ), aIbIc ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 517, [] )
% 0.87/1.23 , clause( 643, [] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 end.
% 0.87/1.23
% 0.87/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.23
% 0.87/1.23 Memory use:
% 0.87/1.23
% 0.87/1.23 space for terms: 6747
% 0.87/1.23 space for clauses: 23722
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 clauses generated: 6629
% 0.87/1.23 clauses kept: 518
% 0.87/1.23 clauses selected: 146
% 0.87/1.23 clauses deleted: 3
% 0.87/1.23 clauses inuse deleted: 0
% 0.87/1.23
% 0.87/1.23 subsentry: 2282
% 0.87/1.23 literals s-matched: 1328
% 0.87/1.23 literals matched: 1296
% 0.87/1.23 full subsumption: 280
% 0.87/1.23
% 0.87/1.23 checksum: -894370780
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Bliksem ended
%------------------------------------------------------------------------------