TSTP Solution File: SET010-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 22:45:12 EDT 2022
% Result : Unsatisfiable 12.35s 12.71s
% Output : Refutation 12.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.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 : Sun Jul 10 14:54:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 12.35/12.71 *** allocated 10000 integers for termspace/termends
% 12.35/12.71 *** allocated 10000 integers for clauses
% 12.35/12.71 *** allocated 10000 integers for justifications
% 12.35/12.71 Bliksem 1.12
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Automatic Strategy Selection
% 12.35/12.71
% 12.35/12.71 Clauses:
% 12.35/12.71 [
% 12.35/12.71 [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z ) ],
% 12.35/12.71 [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ), X ) ],
% 12.35/12.71 [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset( X, Y ) ]
% 12.35/12.71 ,
% 12.35/12.71 [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ],
% 12.35/12.71 [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ],
% 12.35/12.71 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'( Y, X ) ],
% 12.35/12.71 [ ~( union( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X ), member( T
% 12.35/12.71 , Y ) ],
% 12.35/12.71 [ ~( union( X, Y, Z ) ), ~( member( T, X ) ), member( T, Z ) ],
% 12.35/12.71 [ ~( union( X, Y, Z ) ), ~( member( T, Y ) ), member( T, Z ) ],
% 12.35/12.71 [ union( X, Y, Z ), member( g( X, Y, Z ), X ), member( g( X, Y, Z ), Y )
% 12.35/12.71 , member( g( X, Y, Z ), Z ) ],
% 12.35/12.71 [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z ), Z ) ), union(
% 12.35/12.71 X, Y, Z ) ],
% 12.35/12.71 [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z ), Z ) ), union(
% 12.35/12.71 X, Y, Z ) ],
% 12.35/12.71 [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X ) ]
% 12.35/12.71 ,
% 12.35/12.71 [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ), member( T, Y ) ]
% 12.35/12.71 ,
% 12.35/12.71 [ ~( intersection( X, Y, Z ) ), ~( member( T, Y ) ), ~( member( T, X ) )
% 12.35/12.71 , member( T, Z ) ],
% 12.35/12.71 [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member( h( X, Y, Z
% 12.35/12.71 ), X ) ],
% 12.35/12.71 [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ), member( h( X, Y, Z
% 12.35/12.71 ), Y ) ],
% 12.35/12.71 [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z ), Y ) ), ~(
% 12.35/12.71 member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ],
% 12.35/12.71 [ ~( difference( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X ) ],
% 12.35/12.71 [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T, Y, Z ) ) ]
% 12.35/12.71 ,
% 12.35/12.71 [ ~( member( X, Y ) ), ~( difference( Y, Z, T ) ), member( X, T ),
% 12.35/12.71 member( X, Z ) ],
% 12.35/12.71 [ difference( X, Y, Z ), member( k( X, Y, Z ), X ), member( k( X, Y, Z )
% 12.35/12.71 , Z ) ],
% 12.35/12.71 [ ~( member( k( X, Y, Z ), Y ) ), member( k( X, Y, Z ), Z ), difference(
% 12.35/12.71 X, Y, Z ) ],
% 12.35/12.71 [ ~( member( k( X, Y, Z ), Z ) ), ~( member( k( X, Y, Z ), X ) ), member(
% 12.35/12.71 k( X, Y, Z ), Y ), difference( X, Y, Z ) ],
% 12.35/12.71 [ intersection( a, b, aIb ) ],
% 12.35/12.71 [ difference( c, a, cDa ) ],
% 12.35/12.71 [ difference( c, b, cDb ) ],
% 12.35/12.71 [ difference( c, aIb, 'cD_aIb' ) ],
% 12.35/12.71 [ ~( union( cDa, cDb, 'cD_aIb' ) ) ]
% 12.35/12.71 ] .
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 percentage equality = 0.000000, percentage horn = 0.689655
% 12.35/12.71 This a non-horn, non-equality problem
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Options Used:
% 12.35/12.71
% 12.35/12.71 useres = 1
% 12.35/12.71 useparamod = 0
% 12.35/12.71 useeqrefl = 0
% 12.35/12.71 useeqfact = 0
% 12.35/12.71 usefactor = 1
% 12.35/12.71 usesimpsplitting = 0
% 12.35/12.71 usesimpdemod = 0
% 12.35/12.71 usesimpres = 3
% 12.35/12.71
% 12.35/12.71 resimpinuse = 1000
% 12.35/12.71 resimpclauses = 20000
% 12.35/12.71 substype = standard
% 12.35/12.71 backwardsubs = 1
% 12.35/12.71 selectoldest = 5
% 12.35/12.71
% 12.35/12.71 litorderings [0] = split
% 12.35/12.71 litorderings [1] = liftord
% 12.35/12.71
% 12.35/12.71 termordering = none
% 12.35/12.71
% 12.35/12.71 litapriori = 1
% 12.35/12.71 termapriori = 0
% 12.35/12.71 litaposteriori = 0
% 12.35/12.71 termaposteriori = 0
% 12.35/12.71 demodaposteriori = 0
% 12.35/12.71 ordereqreflfact = 0
% 12.35/12.71
% 12.35/12.71 litselect = none
% 12.35/12.71
% 12.35/12.71 maxweight = 15
% 12.35/12.71 maxdepth = 30000
% 12.35/12.71 maxlength = 115
% 12.35/12.71 maxnrvars = 195
% 12.35/12.71 excuselevel = 1
% 12.35/12.71 increasemaxweight = 1
% 12.35/12.71
% 12.35/12.71 maxselected = 10000000
% 12.35/12.71 maxnrclauses = 10000000
% 12.35/12.71
% 12.35/12.71 showgenerated = 0
% 12.35/12.71 showkept = 0
% 12.35/12.71 showselected = 0
% 12.35/12.71 showdeleted = 0
% 12.35/12.71 showresimp = 1
% 12.35/12.71 showstatus = 2000
% 12.35/12.71
% 12.35/12.71 prologoutput = 1
% 12.35/12.71 nrgoals = 5000000
% 12.35/12.71 totalproof = 1
% 12.35/12.71
% 12.35/12.71 Symbols occurring in the translation:
% 12.35/12.71
% 12.35/12.71 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.35/12.71 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 12.35/12.71 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 12.35/12.71 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.35/12.71 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.35/12.71 member [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 12.35/12.71 subset [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 12.35/12.71 'member_of_1_not_of_2' [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 12.35/12.71 'equal_sets' [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 12.35/12.71 union [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 12.35/12.71 g [50, 3] (w:1, o:60, a:1, s:1, b:0),
% 12.35/12.71 intersection [52, 3] (w:1, o:62, a:1, s:1, b:0),
% 12.35/12.71 h [53, 3] (w:1, o:61, a:1, s:1, b:0),
% 12.35/12.71 difference [55, 3] (w:1, o:63, a:1, s:1, b:0),
% 12.35/12.71 k [57, 3] (w:1, o:64, a:1, s:1, b:0),
% 12.35/12.71 a [58, 0] (w:1, o:18, a:1, s:1, b:0),
% 12.35/12.71 b [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 12.35/12.71 aIb [60, 0] (w:1, o:19, a:1, s:1, b:0),
% 12.35/12.71 c [61, 0] (w:1, o:21, a:1, s:1, b:0),
% 12.35/12.71 cDa [62, 0] (w:1, o:22, a:1, s:1, b:0),
% 12.35/12.71 cDb [63, 0] (w:1, o:23, a:1, s:1, b:0),
% 12.35/12.71 'cD_aIb' [64, 0] (w:1, o:24, a:1, s:1, b:0).
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Starting Search:
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Intermediate Status:
% 12.35/12.71 Generated: 28506
% 12.35/12.71 Kept: 2001
% 12.35/12.71 Inuse: 377
% 12.35/12.71 Deleted: 18
% 12.35/12.71 Deletedinuse: 3
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Intermediate Status:
% 12.35/12.71 Generated: 53325
% 12.35/12.71 Kept: 4018
% 12.35/12.71 Inuse: 518
% 12.35/12.71 Deleted: 145
% 12.35/12.71 Deletedinuse: 115
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Intermediate Status:
% 12.35/12.71 Generated: 80478
% 12.35/12.71 Kept: 6026
% 12.35/12.71 Inuse: 648
% 12.35/12.71 Deleted: 166
% 12.35/12.71 Deletedinuse: 119
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Intermediate Status:
% 12.35/12.71 Generated: 116537
% 12.35/12.71 Kept: 8032
% 12.35/12.71 Inuse: 949
% 12.35/12.71 Deleted: 265
% 12.35/12.71 Deletedinuse: 121
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Intermediate Status:
% 12.35/12.71 Generated: 245752
% 12.35/12.71 Kept: 10060
% 12.35/12.71 Inuse: 1505
% 12.35/12.71 Deleted: 357
% 12.35/12.71 Deletedinuse: 134
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71 Done
% 12.35/12.71
% 12.35/12.71
% 12.35/12.71 Intermediate Status:
% 12.35/12.71 Generated: 346957
% 12.35/12.71 Kept: 12065
% 12.35/12.71 Inuse: 1841
% 12.35/12.71 Deleted: 435
% 12.35/12.71 Deletedinuse: 166
% 12.35/12.71
% 12.35/12.71 Resimplifying inuse:
% 12.35/12.71
% 12.35/12.71 Bliksems!, er is een bewijs:
% 12.35/12.71 % SZS status Unsatisfiable
% 12.35/12.71 % SZS output start Refutation
% 12.35/12.71
% 12.35/12.71 clause( 9, [ member( g( X, Y, Z ), X ), member( g( X, Y, Z ), Y ), member(
% 12.35/12.71 g( X, Y, Z ), Z ), union( X, Y, Z ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 10, [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z ), Z )
% 12.35/12.71 ), union( X, Y, Z ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 11, [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z ), Z )
% 12.35/12.71 ), union( X, Y, Z ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 12, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y, Z
% 12.35/12.71 ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 13, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y, Z
% 12.35/12.71 ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 14, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ), ~(
% 12.35/12.71 intersection( X, Y, Z ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 18, [ ~( member( T, Z ) ), member( T, X ), ~( difference( X, Y, Z )
% 12.35/12.71 ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T, Y
% 12.35/12.71 , Z ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 20, [ ~( member( X, Y ) ), member( X, T ), member( X, Z ), ~(
% 12.35/12.71 difference( Y, Z, T ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 21, [ member( k( X, Y, Z ), X ), member( k( X, Y, Z ), Z ),
% 12.35/12.71 difference( X, Y, Z ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 23, [ ~( member( k( X, Y, Z ), Z ) ), ~( member( k( X, Y, Z ), X )
% 12.35/12.71 ), member( k( X, Y, Z ), Y ), difference( X, Y, Z ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 24, [ intersection( a, b, aIb ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 25, [ difference( c, a, cDa ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 26, [ difference( c, b, cDb ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 27, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 28, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 46, [ member( k( X, Y, X ), X ), difference( X, Y, X ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 47, [ member( k( X, Y, X ), Y ), difference( X, Y, X ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 50, [ ~( member( X, a ) ), ~( member( X, cDa ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 51, [ ~( member( X, b ) ), ~( member( X, cDb ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 52, [ ~( member( X, aIb ) ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 53, [ member( X, c ), ~( member( X, cDa ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 54, [ member( X, c ), ~( member( X, cDb ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 55, [ member( X, c ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 56, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 57, [ member( X, a ), ~( member( X, aIb ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 61, [ member( g( cDa, cDb, 'cD_aIb' ), cDa ), member( g( cDa, cDb,
% 12.35/12.71 'cD_aIb' ), cDb ), member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 62, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y, X
% 12.35/12.71 ), Y ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 75, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member( g(
% 12.35/12.71 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 80, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member( g(
% 12.35/12.71 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 82, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, b ) ) ]
% 12.35/12.71 )
% 12.35/12.71 .
% 12.35/12.71 clause( 85, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y, X
% 12.35/12.71 ), X ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 121, [ ~( member( X, c ) ), member( X, a ), member( X, cDa ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 122, [ ~( member( X, c ) ), member( X, b ), member( X, cDb ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 123, [ ~( member( X, c ) ), member( X, aIb ), member( X, 'cD_aIb' )
% 12.35/12.71 ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 502, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa, cDb,
% 12.35/12.71 'cD_aIb' ), cDb ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 569, [ ~( member( k( Y, 'cD_aIb', Y ), aIb ) ), ~( member( X,
% 12.35/12.71 'cD_aIb' ) ), ~( member( X, Y ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 570, [ ~( member( k( Y, cDb, Y ), b ) ), ~( member( X, cDb ) ), ~(
% 12.35/12.71 member( X, Y ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 571, [ ~( member( k( Y, cDa, Y ), a ) ), ~( member( X, cDa ) ), ~(
% 12.35/12.71 member( X, Y ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 671, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa,
% 12.35/12.71 cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 803, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa,
% 12.35/12.71 cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.71 .
% 12.35/12.71 clause( 1993, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2006, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2009, [ member( g( cDa, cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2011, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2013, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2414, [ member( k( a, X, a ), a ), ~( member( g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ), X ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2474, [ member( k( b, X, b ), b ), ~( member( g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ), X ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2484, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 2536, [ member( k( aIb, X, aIb ), aIb ), ~( member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), X ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 11583, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 11701, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 11827, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 .
% 12.35/12.72 clause( 12177, [] )
% 12.35/12.72 .
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 % SZS output end Refutation
% 12.35/12.72 found a proof!
% 12.35/12.72
% 12.35/12.72 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.35/12.72
% 12.35/12.72 initialclauses(
% 12.35/12.72 [ clause( 12179, [ ~( member( X, Y ) ), ~( subset( Y, Z ) ), member( X, Z )
% 12.35/12.72 ] )
% 12.35/12.72 , clause( 12180, [ subset( X, Y ), member( 'member_of_1_not_of_2'( X, Y ),
% 12.35/12.72 X ) ] )
% 12.35/12.72 , clause( 12181, [ ~( member( 'member_of_1_not_of_2'( X, Y ), Y ) ), subset(
% 12.35/12.72 X, Y ) ] )
% 12.35/12.72 , clause( 12182, [ ~( 'equal_sets'( X, Y ) ), subset( X, Y ) ] )
% 12.35/12.72 , clause( 12183, [ ~( 'equal_sets'( X, Y ) ), subset( Y, X ) ] )
% 12.35/12.72 , clause( 12184, [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), 'equal_sets'(
% 12.35/12.72 Y, X ) ] )
% 12.35/12.72 , clause( 12185, [ ~( union( X, Y, Z ) ), ~( member( T, Z ) ), member( T, X
% 12.35/12.72 ), member( T, Y ) ] )
% 12.35/12.72 , clause( 12186, [ ~( union( X, Y, Z ) ), ~( member( T, X ) ), member( T, Z
% 12.35/12.72 ) ] )
% 12.35/12.72 , clause( 12187, [ ~( union( X, Y, Z ) ), ~( member( T, Y ) ), member( T, Z
% 12.35/12.72 ) ] )
% 12.35/12.72 , clause( 12188, [ union( X, Y, Z ), member( g( X, Y, Z ), X ), member( g(
% 12.35/12.72 X, Y, Z ), Y ), member( g( X, Y, Z ), Z ) ] )
% 12.35/12.72 , clause( 12189, [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z )
% 12.35/12.72 , Z ) ), union( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12190, [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z )
% 12.35/12.72 , Z ) ), union( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12191, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ),
% 12.35/12.72 member( T, X ) ] )
% 12.35/12.72 , clause( 12192, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ),
% 12.35/12.72 member( T, Y ) ] )
% 12.35/12.72 , clause( 12193, [ ~( intersection( X, Y, Z ) ), ~( member( T, Y ) ), ~(
% 12.35/12.72 member( T, X ) ), member( T, Z ) ] )
% 12.35/12.72 , clause( 12194, [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ),
% 12.35/12.72 member( h( X, Y, Z ), X ) ] )
% 12.35/12.72 , clause( 12195, [ member( h( X, Y, Z ), Z ), intersection( X, Y, Z ),
% 12.35/12.72 member( h( X, Y, Z ), Y ) ] )
% 12.35/12.72 , clause( 12196, [ ~( member( h( X, Y, Z ), Z ) ), ~( member( h( X, Y, Z )
% 12.35/12.72 , Y ) ), ~( member( h( X, Y, Z ), X ) ), intersection( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12197, [ ~( difference( X, Y, Z ) ), ~( member( T, Z ) ), member(
% 12.35/12.72 T, X ) ] )
% 12.35/12.72 , clause( 12198, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference(
% 12.35/12.72 T, Y, Z ) ) ] )
% 12.35/12.72 , clause( 12199, [ ~( member( X, Y ) ), ~( difference( Y, Z, T ) ), member(
% 12.35/12.72 X, T ), member( X, Z ) ] )
% 12.35/12.72 , clause( 12200, [ difference( X, Y, Z ), member( k( X, Y, Z ), X ), member(
% 12.35/12.72 k( X, Y, Z ), Z ) ] )
% 12.35/12.72 , clause( 12201, [ ~( member( k( X, Y, Z ), Y ) ), member( k( X, Y, Z ), Z
% 12.35/12.72 ), difference( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12202, [ ~( member( k( X, Y, Z ), Z ) ), ~( member( k( X, Y, Z )
% 12.35/12.72 , X ) ), member( k( X, Y, Z ), Y ), difference( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12203, [ intersection( a, b, aIb ) ] )
% 12.35/12.72 , clause( 12204, [ difference( c, a, cDa ) ] )
% 12.35/12.72 , clause( 12205, [ difference( c, b, cDb ) ] )
% 12.35/12.72 , clause( 12206, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.72 , clause( 12207, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.72 ] ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 9, [ member( g( X, Y, Z ), X ), member( g( X, Y, Z ), Y ), member(
% 12.35/12.72 g( X, Y, Z ), Z ), union( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12188, [ union( X, Y, Z ), member( g( X, Y, Z ), X ), member( g(
% 12.35/12.72 X, Y, Z ), Y ), member( g( X, Y, Z ), Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 10, [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z ), Z )
% 12.35/12.72 ), union( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12189, [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z )
% 12.35/12.72 , Z ) ), union( X, Y, Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 11, [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z ), Z )
% 12.35/12.72 ), union( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12190, [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z )
% 12.35/12.72 , Z ) ), union( X, Y, Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 12, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y, Z
% 12.35/12.72 ) ) ] )
% 12.35/12.72 , clause( 12191, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ),
% 12.35/12.72 member( T, X ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 13, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y, Z
% 12.35/12.72 ) ) ] )
% 12.35/12.72 , clause( 12192, [ ~( intersection( X, Y, Z ) ), ~( member( T, Z ) ),
% 12.35/12.72 member( T, Y ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 14, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ), ~(
% 12.35/12.72 intersection( X, Y, Z ) ) ] )
% 12.35/12.72 , clause( 12193, [ ~( intersection( X, Y, Z ) ), ~( member( T, Y ) ), ~(
% 12.35/12.72 member( T, X ) ), member( T, Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 18, [ ~( member( T, Z ) ), member( T, X ), ~( difference( X, Y, Z )
% 12.35/12.72 ) ] )
% 12.35/12.72 , clause( 12197, [ ~( difference( X, Y, Z ) ), ~( member( T, Z ) ), member(
% 12.35/12.72 T, X ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T, Y
% 12.35/12.72 , Z ) ) ] )
% 12.35/12.72 , clause( 12198, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference(
% 12.35/12.72 T, Y, Z ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 20, [ ~( member( X, Y ) ), member( X, T ), member( X, Z ), ~(
% 12.35/12.72 difference( Y, Z, T ) ) ] )
% 12.35/12.72 , clause( 12199, [ ~( member( X, Y ) ), ~( difference( Y, Z, T ) ), member(
% 12.35/12.72 X, T ), member( X, Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 21, [ member( k( X, Y, Z ), X ), member( k( X, Y, Z ), Z ),
% 12.35/12.72 difference( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12200, [ difference( X, Y, Z ), member( k( X, Y, Z ), X ), member(
% 12.35/12.72 k( X, Y, Z ), Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 23, [ ~( member( k( X, Y, Z ), Z ) ), ~( member( k( X, Y, Z ), X )
% 12.35/12.72 ), member( k( X, Y, Z ), Y ), difference( X, Y, Z ) ] )
% 12.35/12.72 , clause( 12202, [ ~( member( k( X, Y, Z ), Z ) ), ~( member( k( X, Y, Z )
% 12.35/12.72 , X ) ), member( k( X, Y, Z ), Y ), difference( X, Y, Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 24, [ intersection( a, b, aIb ) ] )
% 12.35/12.72 , clause( 12203, [ intersection( a, b, aIb ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 25, [ difference( c, a, cDa ) ] )
% 12.35/12.72 , clause( 12204, [ difference( c, a, cDa ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 26, [ difference( c, b, cDb ) ] )
% 12.35/12.72 , clause( 12205, [ difference( c, b, cDb ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 27, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.72 , clause( 12206, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 28, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12207, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12434, [ member( k( X, Y, X ), X ), difference( X, Y, X ) ] )
% 12.35/12.72 , clause( 21, [ member( k( X, Y, Z ), X ), member( k( X, Y, Z ), Z ),
% 12.35/12.72 difference( X, Y, Z ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 46, [ member( k( X, Y, X ), X ), difference( X, Y, X ) ] )
% 12.35/12.72 , clause( 12434, [ member( k( X, Y, X ), X ), difference( X, Y, X ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.35/12.72 ), ==>( 1, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12435, [ ~( member( k( X, Y, X ), X ) ), member( k( X, Y, X ), Y )
% 12.35/12.72 , difference( X, Y, X ) ] )
% 12.35/12.72 , clause( 23, [ ~( member( k( X, Y, Z ), Z ) ), ~( member( k( X, Y, Z ), X
% 12.35/12.72 ) ), member( k( X, Y, Z ), Y ), difference( X, Y, Z ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12436, [ member( k( X, Y, X ), Y ), difference( X, Y, X ),
% 12.35/12.72 difference( X, Y, X ) ] )
% 12.35/12.72 , clause( 12435, [ ~( member( k( X, Y, X ), X ) ), member( k( X, Y, X ), Y
% 12.35/12.72 ), difference( X, Y, X ) ] )
% 12.35/12.72 , 0, clause( 46, [ member( k( X, Y, X ), X ), difference( X, Y, X ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 12.35/12.72 , X ), :=( Y, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12437, [ member( k( X, Y, X ), Y ), difference( X, Y, X ) ] )
% 12.35/12.72 , clause( 12436, [ member( k( X, Y, X ), Y ), difference( X, Y, X ),
% 12.35/12.72 difference( X, Y, X ) ] )
% 12.35/12.72 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 47, [ member( k( X, Y, X ), Y ), difference( X, Y, X ) ] )
% 12.35/12.72 , clause( 12437, [ member( k( X, Y, X ), Y ), difference( X, Y, X ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.35/12.72 ), ==>( 1, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12438, [ ~( member( X, a ) ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T
% 12.35/12.72 , Y, Z ) ) ] )
% 12.35/12.72 , 2, clause( 25, [ difference( c, a, cDa ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, cDa ), :=( T, c )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 50, [ ~( member( X, a ) ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , clause( 12438, [ ~( member( X, a ) ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12439, [ ~( member( X, b ) ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T
% 12.35/12.72 , Y, Z ) ) ] )
% 12.35/12.72 , 2, clause( 26, [ difference( c, b, cDb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, cDb ), :=( T, c )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 51, [ ~( member( X, b ) ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , clause( 12439, [ ~( member( X, b ) ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12440, [ ~( member( X, aIb ) ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T
% 12.35/12.72 , Y, Z ) ) ] )
% 12.35/12.72 , 2, clause( 27, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, aIb ), :=( Z, 'cD_aIb' ), :=( T
% 12.35/12.72 , c )] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 52, [ ~( member( X, aIb ) ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12440, [ ~( member( X, aIb ) ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12441, [ ~( member( X, cDa ) ), member( X, c ) ] )
% 12.35/12.72 , clause( 18, [ ~( member( T, Z ) ), member( T, X ), ~( difference( X, Y, Z
% 12.35/12.72 ) ) ] )
% 12.35/12.72 , 2, clause( 25, [ difference( c, a, cDa ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, c ), :=( Y, a ), :=( Z, cDa ), :=( T, X )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 53, [ member( X, c ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , clause( 12441, [ ~( member( X, cDa ) ), member( X, c ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12442, [ ~( member( X, cDb ) ), member( X, c ) ] )
% 12.35/12.72 , clause( 18, [ ~( member( T, Z ) ), member( T, X ), ~( difference( X, Y, Z
% 12.35/12.72 ) ) ] )
% 12.35/12.72 , 2, clause( 26, [ difference( c, b, cDb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, c ), :=( Y, b ), :=( Z, cDb ), :=( T, X )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 54, [ member( X, c ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , clause( 12442, [ ~( member( X, cDb ) ), member( X, c ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12443, [ ~( member( X, 'cD_aIb' ) ), member( X, c ) ] )
% 12.35/12.72 , clause( 18, [ ~( member( T, Z ) ), member( T, X ), ~( difference( X, Y, Z
% 12.35/12.72 ) ) ] )
% 12.35/12.72 , 2, clause( 27, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, c ), :=( Y, aIb ), :=( Z, 'cD_aIb' ), :=( T
% 12.35/12.72 , X )] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 55, [ member( X, c ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12443, [ ~( member( X, 'cD_aIb' ) ), member( X, c ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12444, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 12.35/12.72 , clause( 13, [ ~( member( T, Z ) ), member( T, Y ), ~( intersection( X, Y
% 12.35/12.72 , Z ) ) ] )
% 12.35/12.72 , 2, clause( 24, [ intersection( a, b, aIb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, aIb ), :=( T, X )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 56, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 12.35/12.72 , clause( 12444, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12445, [ ~( member( X, aIb ) ), member( X, a ) ] )
% 12.35/12.72 , clause( 12, [ ~( member( T, Z ) ), member( T, X ), ~( intersection( X, Y
% 12.35/12.72 , Z ) ) ] )
% 12.35/12.72 , 2, clause( 24, [ intersection( a, b, aIb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, aIb ), :=( T, X )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 57, [ member( X, a ), ~( member( X, aIb ) ) ] )
% 12.35/12.72 , clause( 12445, [ ~( member( X, aIb ) ), member( X, a ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12446, [ member( g( cDa, cDb, 'cD_aIb' ), cDa ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ), member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , clause( 28, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.72 , 0, clause( 9, [ member( g( X, Y, Z ), X ), member( g( X, Y, Z ), Y ),
% 12.35/12.72 member( g( X, Y, Z ), Z ), union( X, Y, Z ) ] )
% 12.35/12.72 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, cDa ), :=( Y, cDb ),
% 12.35/12.72 :=( Z, 'cD_aIb' )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 61, [ member( g( cDa, cDb, 'cD_aIb' ), cDa ), member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), cDb ), member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , clause( 12446, [ member( g( cDa, cDb, 'cD_aIb' ), cDa ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ), member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 12.35/12.72 , 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12449, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( k( Z, Y
% 12.35/12.72 , Z ), Y ) ] )
% 12.35/12.72 , clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T
% 12.35/12.72 , Y, Z ) ) ] )
% 12.35/12.72 , 2, clause( 47, [ member( k( X, Y, X ), Y ), difference( X, Y, X ) ] )
% 12.35/12.72 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] ),
% 12.35/12.72 substitution( 1, [ :=( X, Z ), :=( Y, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 62, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y, X
% 12.35/12.72 ), Y ) ] )
% 12.35/12.72 , clause( 12449, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( k( Z,
% 12.35/12.72 Y, Z ), Y ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12451, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 28, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.72 , 0, clause( 10, [ ~( member( g( X, Y, Z ), X ) ), ~( member( g( X, Y, Z )
% 12.35/12.72 , Z ) ), union( X, Y, Z ) ] )
% 12.35/12.72 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, cDa ), :=( Y, cDb ),
% 12.35/12.72 :=( Z, 'cD_aIb' )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 75, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12451, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12452, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 28, [ ~( union( cDa, cDb, 'cD_aIb' ) ) ] )
% 12.35/12.72 , 0, clause( 11, [ ~( member( g( X, Y, Z ), Y ) ), ~( member( g( X, Y, Z )
% 12.35/12.72 , Z ) ), union( X, Y, Z ) ] )
% 12.35/12.72 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, cDa ), :=( Y, cDb ),
% 12.35/12.72 :=( Z, 'cD_aIb' )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 80, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12452, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12453, [ ~( member( X, b ) ), ~( member( X, a ) ), member( X, aIb )
% 12.35/12.72 ] )
% 12.35/12.72 , clause( 14, [ ~( member( T, Y ) ), ~( member( T, X ) ), member( T, Z ),
% 12.35/12.72 ~( intersection( X, Y, Z ) ) ] )
% 12.35/12.72 , 3, clause( 24, [ intersection( a, b, aIb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, aIb ), :=( T, X )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 82, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, b ) ) ]
% 12.35/12.72 )
% 12.35/12.72 , clause( 12453, [ ~( member( X, b ) ), ~( member( X, a ) ), member( X, aIb
% 12.35/12.72 ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 12.35/12.72 0 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12456, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( k( Z, Y
% 12.35/12.72 , Z ), Z ) ] )
% 12.35/12.72 , clause( 19, [ ~( member( X, Y ) ), ~( member( X, Z ) ), ~( difference( T
% 12.35/12.72 , Y, Z ) ) ] )
% 12.35/12.72 , 2, clause( 46, [ member( k( X, Y, X ), X ), difference( X, Y, X ) ] )
% 12.35/12.72 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] ),
% 12.35/12.72 substitution( 1, [ :=( X, Z ), :=( Y, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 85, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y, X
% 12.35/12.72 ), X ) ] )
% 12.35/12.72 , clause( 12456, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( k( Z,
% 12.35/12.72 Y, Z ), Z ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 12.35/12.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12458, [ ~( member( X, c ) ), member( X, cDa ), member( X, a ) ] )
% 12.35/12.72 , clause( 20, [ ~( member( X, Y ) ), member( X, T ), member( X, Z ), ~(
% 12.35/12.72 difference( Y, Z, T ) ) ] )
% 12.35/12.72 , 3, clause( 25, [ difference( c, a, cDa ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, a ), :=( T, cDa )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 121, [ ~( member( X, c ) ), member( X, a ), member( X, cDa ) ] )
% 12.35/12.72 , clause( 12458, [ ~( member( X, c ) ), member( X, cDa ), member( X, a ) ]
% 12.35/12.72 )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 2 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12459, [ ~( member( X, c ) ), member( X, cDb ), member( X, b ) ] )
% 12.35/12.72 , clause( 20, [ ~( member( X, Y ) ), member( X, T ), member( X, Z ), ~(
% 12.35/12.72 difference( Y, Z, T ) ) ] )
% 12.35/12.72 , 3, clause( 26, [ difference( c, b, cDb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, b ), :=( T, cDb )] )
% 12.35/12.72 , substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 122, [ ~( member( X, c ) ), member( X, b ), member( X, cDb ) ] )
% 12.35/12.72 , clause( 12459, [ ~( member( X, c ) ), member( X, cDb ), member( X, b ) ]
% 12.35/12.72 )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 2 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12460, [ ~( member( X, c ) ), member( X, 'cD_aIb' ), member( X, aIb
% 12.35/12.72 ) ] )
% 12.35/12.72 , clause( 20, [ ~( member( X, Y ) ), member( X, T ), member( X, Z ), ~(
% 12.35/12.72 difference( Y, Z, T ) ) ] )
% 12.35/12.72 , 3, clause( 27, [ difference( c, aIb, 'cD_aIb' ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, aIb ), :=( T,
% 12.35/12.72 'cD_aIb' )] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 123, [ ~( member( X, c ) ), member( X, aIb ), member( X, 'cD_aIb' )
% 12.35/12.72 ] )
% 12.35/12.72 , clause( 12460, [ ~( member( X, c ) ), member( X, 'cD_aIb' ), member( X,
% 12.35/12.72 aIb ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.35/12.72 2 ), ==>( 2, 1 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12461, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa, cDb
% 12.35/12.72 , 'cD_aIb' ), cDa ), member( g( cDa, cDb, 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , clause( 55, [ member( X, c ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.72 , 1, clause( 61, [ member( g( cDa, cDb, 'cD_aIb' ), cDa ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ), member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , 2, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) )] ), substitution(
% 12.35/12.72 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12462, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa, cDb
% 12.35/12.72 , 'cD_aIb' ), c ), member( g( cDa, cDb, 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , clause( 53, [ member( X, c ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , 1, clause( 12461, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), cDa ), member( g( cDa, cDb, 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , 1, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) )] ), substitution(
% 12.35/12.72 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12463, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa, cDb
% 12.35/12.72 , 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , clause( 12462, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ), member( g( cDa, cDb, 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 502, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , clause( 12463, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12465, [ ~( member( k( X, 'cD_aIb', X ), aIb ) ), ~( member( Y,
% 12.35/12.72 'cD_aIb' ) ), ~( member( Y, X ) ) ] )
% 12.35/12.72 , clause( 52, [ ~( member( X, aIb ) ), ~( member( X, 'cD_aIb' ) ) ] )
% 12.35/12.72 , 1, clause( 62, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X,
% 12.35/12.72 Y, X ), Y ) ] )
% 12.35/12.72 , 2, substitution( 0, [ :=( X, k( X, 'cD_aIb', X ) )] ), substitution( 1, [
% 12.35/12.72 :=( X, X ), :=( Y, 'cD_aIb' ), :=( Z, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 569, [ ~( member( k( Y, 'cD_aIb', Y ), aIb ) ), ~( member( X,
% 12.35/12.72 'cD_aIb' ) ), ~( member( X, Y ) ) ] )
% 12.35/12.72 , clause( 12465, [ ~( member( k( X, 'cD_aIb', X ), aIb ) ), ~( member( Y,
% 12.35/12.72 'cD_aIb' ) ), ~( member( Y, X ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.35/12.72 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12471, [ ~( member( k( X, cDb, X ), b ) ), ~( member( Y, cDb ) ),
% 12.35/12.72 ~( member( Y, X ) ) ] )
% 12.35/12.72 , clause( 51, [ ~( member( X, b ) ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , 1, clause( 62, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X,
% 12.35/12.72 Y, X ), Y ) ] )
% 12.35/12.72 , 2, substitution( 0, [ :=( X, k( X, cDb, X ) )] ), substitution( 1, [ :=(
% 12.35/12.72 X, X ), :=( Y, cDb ), :=( Z, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 570, [ ~( member( k( Y, cDb, Y ), b ) ), ~( member( X, cDb ) ), ~(
% 12.35/12.72 member( X, Y ) ) ] )
% 12.35/12.72 , clause( 12471, [ ~( member( k( X, cDb, X ), b ) ), ~( member( Y, cDb ) )
% 12.35/12.72 , ~( member( Y, X ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.35/12.72 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12477, [ ~( member( k( X, cDa, X ), a ) ), ~( member( Y, cDa ) ),
% 12.35/12.72 ~( member( Y, X ) ) ] )
% 12.35/12.72 , clause( 50, [ ~( member( X, a ) ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , 1, clause( 62, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X,
% 12.35/12.72 Y, X ), Y ) ] )
% 12.35/12.72 , 2, substitution( 0, [ :=( X, k( X, cDa, X ) )] ), substitution( 1, [ :=(
% 12.35/12.72 X, X ), :=( Y, cDa ), :=( Z, Y )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 571, [ ~( member( k( Y, cDa, Y ), a ) ), ~( member( X, cDa ) ), ~(
% 12.35/12.72 member( X, Y ) ) ] )
% 12.35/12.72 , clause( 12477, [ ~( member( k( X, cDa, X ), a ) ), ~( member( Y, cDa ) )
% 12.35/12.72 , ~( member( Y, X ) ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.35/12.72 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12482, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 75, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , 1, clause( 123, [ ~( member( X, c ) ), member( X, aIb ), member( X,
% 12.35/12.72 'cD_aIb' ) ] )
% 12.35/12.72 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ) )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12483, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) )
% 12.35/12.72 ] )
% 12.35/12.72 , clause( 12482, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), aIb ) ]
% 12.35/12.72 )
% 12.35/12.72 , 1, clause( 53, [ member( X, c ), ~( member( X, cDa ) ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ) )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12484, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 12483, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) )
% 12.35/12.72 ] )
% 12.35/12.72 , 0, 2, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 671, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , clause( 12484, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12485, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 80, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , 1, clause( 123, [ ~( member( X, c ) ), member( X, aIb ), member( X,
% 12.35/12.72 'cD_aIb' ) ] )
% 12.35/12.72 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ) )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12486, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) )
% 12.35/12.72 ] )
% 12.35/12.72 , clause( 12485, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), aIb ) ]
% 12.35/12.72 )
% 12.35/12.72 , 1, clause( 54, [ member( X, c ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ) )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12487, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 12486, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) )
% 12.35/12.72 ] )
% 12.35/12.72 , 0, 2, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 803, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , clause( 12487, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12488, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , clause( 803, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , 1, clause( 122, [ ~( member( X, c ) ), member( X, b ), member( X, cDb ) ]
% 12.35/12.72 )
% 12.35/12.72 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ) )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12489, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , clause( 56, [ ~( member( X, aIb ) ), member( X, b ) ] )
% 12.35/12.72 , 0, clause( 12488, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) )] ), substitution(
% 12.35/12.72 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12490, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , clause( 12489, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , 0, 2, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 1993, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , clause( 12490, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12491, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , clause( 671, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , 1, clause( 121, [ ~( member( X, c ) ), member( X, a ), member( X, cDa ) ]
% 12.35/12.72 )
% 12.35/12.72 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ) )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12492, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , clause( 57, [ member( X, a ), ~( member( X, aIb ) ) ] )
% 12.35/12.72 , 1, clause( 12491, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) )] ), substitution(
% 12.35/12.72 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12493, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , clause( 12492, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), c ) ), member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , 0, 2, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2006, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , clause( 12493, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 12.35/12.72 ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12494, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa, cDb
% 12.35/12.72 , 'cD_aIb' ), c ) ] )
% 12.35/12.72 , clause( 54, [ member( X, c ), ~( member( X, cDb ) ) ] )
% 12.35/12.72 , 1, clause( 502, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ) ] )
% 12.35/12.72 , 1, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) )] ), substitution(
% 12.35/12.72 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12495, [ member( g( cDa, cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 , clause( 12494, [ member( g( cDa, cDb, 'cD_aIb' ), c ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2009, [ member( g( cDa, cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 , clause( 12495, [ member( g( cDa, cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12496, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , clause( 2006, [ member( g( cDa, cDb, 'cD_aIb' ), a ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , 1, clause( 2009, [ member( g( cDa, cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2011, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , clause( 12496, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12497, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , clause( 1993, [ member( g( cDa, cDb, 'cD_aIb' ), b ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), c ) ) ] )
% 12.35/12.72 , 1, clause( 2009, [ member( g( cDa, cDb, 'cD_aIb' ), c ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2013, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , clause( 12497, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12499, [ ~( member( g( cDa, cDb, 'cD_aIb' ), X ) ), member( k( a, X
% 12.35/12.72 , a ), a ) ] )
% 12.35/12.72 , clause( 85, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y,
% 12.35/12.72 X ), X ) ] )
% 12.35/12.72 , 1, clause( 2011, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ) )] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2414, [ member( k( a, X, a ), a ), ~( member( g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ), X ) ) ] )
% 12.35/12.72 , clause( 12499, [ ~( member( g( cDa, cDb, 'cD_aIb' ), X ) ), member( k( a
% 12.35/12.72 , X, a ), a ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12501, [ ~( member( g( cDa, cDb, 'cD_aIb' ), X ) ), member( k( b, X
% 12.35/12.72 , b ), b ) ] )
% 12.35/12.72 , clause( 85, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y,
% 12.35/12.72 X ), X ) ] )
% 12.35/12.72 , 1, clause( 2013, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ) )] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2474, [ member( k( b, X, b ), b ), ~( member( g( cDa, cDb, 'cD_aIb'
% 12.35/12.72 ), X ) ) ] )
% 12.35/12.72 , clause( 12501, [ ~( member( g( cDa, cDb, 'cD_aIb' ), X ) ), member( k( b
% 12.35/12.72 , X, b ), b ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12502, [ ~( member( g( cDa, cDb, 'cD_aIb' ), a ) ), member( g( cDa
% 12.35/12.72 , cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 82, [ ~( member( X, a ) ), member( X, aIb ), ~( member( X, b ) )
% 12.35/12.72 ] )
% 12.35/12.72 , 2, clause( 2013, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) )] ), substitution(
% 12.35/12.72 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12503, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 12502, [ ~( member( g( cDa, cDb, 'cD_aIb' ), a ) ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , 0, clause( 2011, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2484, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , clause( 12503, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12505, [ ~( member( g( cDa, cDb, 'cD_aIb' ), X ) ), member( k( aIb
% 12.35/12.72 , X, aIb ), aIb ) ] )
% 12.35/12.72 , clause( 85, [ ~( member( Z, Y ) ), ~( member( Z, X ) ), member( k( X, Y,
% 12.35/12.72 X ), X ) ] )
% 12.35/12.72 , 1, clause( 2484, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, aIb ), :=( Y, X ), :=( Z, g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ) )] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 2536, [ member( k( aIb, X, aIb ), aIb ), ~( member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), X ) ) ] )
% 12.35/12.72 , clause( 12505, [ ~( member( g( cDa, cDb, 'cD_aIb' ), X ) ), member( k(
% 12.35/12.72 aIb, X, aIb ), aIb ) ] )
% 12.35/12.72 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 12.35/12.72 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12506, [ ~( member( k( aIb, 'cD_aIb', aIb ), aIb ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 569, [ ~( member( k( Y, 'cD_aIb', Y ), aIb ) ), ~( member( X,
% 12.35/12.72 'cD_aIb' ) ), ~( member( X, Y ) ) ] )
% 12.35/12.72 , 2, clause( 2484, [ member( g( cDa, cDb, 'cD_aIb' ), aIb ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) ), :=( Y, aIb )] ),
% 12.35/12.72 substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12507, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ), ~(
% 12.35/12.72 member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12506, [ ~( member( k( aIb, 'cD_aIb', aIb ), aIb ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , 0, clause( 2536, [ member( k( aIb, X, aIb ), aIb ), ~( member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), X ) ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'cD_aIb' )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12508, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12507, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ), ~(
% 12.35/12.72 member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 11583, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , clause( 12508, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12509, [ ~( member( k( b, cDb, b ), b ) ), ~( member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , clause( 570, [ ~( member( k( Y, cDb, Y ), b ) ), ~( member( X, cDb ) ),
% 12.35/12.72 ~( member( X, Y ) ) ] )
% 12.35/12.72 , 2, clause( 2013, [ member( g( cDa, cDb, 'cD_aIb' ), b ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) ), :=( Y, b )] ),
% 12.35/12.72 substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12510, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , clause( 12509, [ ~( member( k( b, cDb, b ), b ) ), ~( member( g( cDa, cDb
% 12.35/12.72 , 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , 0, clause( 2474, [ member( k( b, X, b ), b ), ~( member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), X ) ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, cDb )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12511, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , clause( 12510, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 11701, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , clause( 12511, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12512, [ ~( member( k( a, cDa, a ), a ) ), ~( member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , clause( 571, [ ~( member( k( Y, cDa, Y ), a ) ), ~( member( X, cDa ) ),
% 12.35/12.72 ~( member( X, Y ) ) ] )
% 12.35/12.72 , 2, clause( 2011, [ member( g( cDa, cDb, 'cD_aIb' ), a ) ] )
% 12.35/12.72 , 0, substitution( 0, [ :=( X, g( cDa, cDb, 'cD_aIb' ) ), :=( Y, a )] ),
% 12.35/12.72 substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12513, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , clause( 12512, [ ~( member( k( a, cDa, a ), a ) ), ~( member( g( cDa, cDb
% 12.35/12.72 , 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , 0, clause( 2414, [ member( k( a, X, a ), a ), ~( member( g( cDa, cDb,
% 12.35/12.72 'cD_aIb' ), X ) ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, cDa )] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 factor(
% 12.35/12.72 clause( 12514, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , clause( 12513, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ), ~( member(
% 12.35/12.72 g( cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , 0, 1, substitution( 0, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 11827, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , clause( 12514, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12515, [ member( g( cDa, cDb, 'cD_aIb' ), cDb ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , clause( 11827, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDa ) ) ] )
% 12.35/12.72 , 0, clause( 61, [ member( g( cDa, cDb, 'cD_aIb' ), cDa ), member( g( cDa,
% 12.35/12.72 cDb, 'cD_aIb' ), cDb ), member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12516, [ member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , clause( 11701, [ ~( member( g( cDa, cDb, 'cD_aIb' ), cDb ) ) ] )
% 12.35/12.72 , 0, clause( 12515, [ member( g( cDa, cDb, 'cD_aIb' ), cDb ), member( g(
% 12.35/12.72 cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 resolution(
% 12.35/12.72 clause( 12517, [] )
% 12.35/12.72 , clause( 11583, [ ~( member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ) ] )
% 12.35/12.72 , 0, clause( 12516, [ member( g( cDa, cDb, 'cD_aIb' ), 'cD_aIb' ) ] )
% 12.35/12.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 subsumption(
% 12.35/12.72 clause( 12177, [] )
% 12.35/12.72 , clause( 12517, [] )
% 12.35/12.72 , substitution( 0, [] ), permutation( 0, [] ) ).
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 end.
% 12.35/12.72
% 12.35/12.72 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.35/12.72
% 12.35/12.72 Memory use:
% 12.35/12.72
% 12.35/12.72 space for terms: 174221
% 12.35/12.72 space for clauses: 517932
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 clauses generated: 348619
% 12.35/12.72 clauses kept: 12178
% 12.35/12.72 clauses selected: 1853
% 12.35/12.72 clauses deleted: 495
% 12.35/12.72 clauses inuse deleted: 225
% 12.35/12.72
% 12.35/12.72 subsentry: 610546
% 12.35/12.72 literals s-matched: 291573
% 12.35/12.72 literals matched: 242959
% 12.35/12.72 full subsumption: 40549
% 12.35/12.72
% 12.35/12.72 checksum: -2068038073
% 12.35/12.72
% 12.35/12.72
% 12.35/12.72 Bliksem ended
%------------------------------------------------------------------------------