TSTP Solution File: TOP001-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Thu Jul 21 21:20:15 EDT 2022
% Result : Unsatisfiable 0.77s 1.27s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 May 29 14:13:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/1.26 *** allocated 10000 integers for termspace/termends
% 0.77/1.26 *** allocated 10000 integers for clauses
% 0.77/1.26 *** allocated 10000 integers for justifications
% 0.77/1.26 Bliksem 1.12
% 0.77/1.26
% 0.77/1.26
% 0.77/1.26 Automatic Strategy Selection
% 0.77/1.26
% 0.77/1.26 Clauses:
% 0.77/1.26 [
% 0.77/1.26 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ), 'element_of_set'(
% 0.77/1.26 X, f1( Y, X ) ) ],
% 0.77/1.26 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.77/1.26 'element_of_collection'( f1( Y, X ), Y ) ],
% 0.77/1.26 [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~( 'element_of_set'( X
% 0.77/1.26 , Z ) ), ~( 'element_of_collection'( Z, Y ) ) ],
% 0.77/1.26 [ ~( basis( X, Y ) ), 'equal_sets'( 'union_of_members'( Y ), X ) ],
% 0.77/1.26 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.77/1.26 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ],
% 0.77/1.26 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.77/1.26 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y )
% 0.77/1.26 ],
% 0.77/1.26 [ 'subset_sets'( X, X ) ],
% 0.77/1.26 [ ~( 'subset_sets'( X, Y ) ), ~( 'element_of_set'( Z, X ) ),
% 0.77/1.26 'element_of_set'( Z, Y ) ],
% 0.77/1.26 [ ~( 'equal_sets'( X, Y ) ), 'subset_sets'( X, Y ) ],
% 0.77/1.27 [ 'subset_sets'( X, Y ), 'element_of_set'( 'in_1st_set'( X, Y ), X ) ]
% 0.77/1.27 ,
% 0.77/1.27 [ 'subset_sets'( X, Y ), ~( 'element_of_set'( 'in_1st_set'( X, Y ), Y )
% 0.77/1.27 ) ],
% 0.77/1.27 [ basis( cx, f ) ],
% 0.77/1.27 [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ]
% 0.77/1.27
% 0.77/1.27 ] .
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 percentage equality = 0.000000, percentage horn = 0.923077
% 0.77/1.27 This is a near-Horn, non-equality problem
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Options Used:
% 0.77/1.27
% 0.77/1.27 useres = 1
% 0.77/1.27 useparamod = 0
% 0.77/1.27 useeqrefl = 0
% 0.77/1.27 useeqfact = 0
% 0.77/1.27 usefactor = 1
% 0.77/1.27 usesimpsplitting = 0
% 0.77/1.27 usesimpdemod = 0
% 0.77/1.27 usesimpres = 4
% 0.77/1.27
% 0.77/1.27 resimpinuse = 1000
% 0.77/1.27 resimpclauses = 20000
% 0.77/1.27 substype = standard
% 0.77/1.27 backwardsubs = 1
% 0.77/1.27 selectoldest = 5
% 0.77/1.27
% 0.77/1.27 litorderings [0] = split
% 0.77/1.27 litorderings [1] = liftord
% 0.77/1.27
% 0.77/1.27 termordering = none
% 0.77/1.27
% 0.77/1.27 litapriori = 1
% 0.77/1.27 termapriori = 0
% 0.77/1.27 litaposteriori = 0
% 0.77/1.27 termaposteriori = 0
% 0.77/1.27 demodaposteriori = 0
% 0.77/1.27 ordereqreflfact = 0
% 0.77/1.27
% 0.77/1.27 litselect = negative
% 0.77/1.27
% 0.77/1.27 maxweight = 30000
% 0.77/1.27 maxdepth = 30000
% 0.77/1.27 maxlength = 115
% 0.77/1.27 maxnrvars = 195
% 0.77/1.27 excuselevel = 0
% 0.77/1.27 increasemaxweight = 0
% 0.77/1.27
% 0.77/1.27 maxselected = 10000000
% 0.77/1.27 maxnrclauses = 10000000
% 0.77/1.27
% 0.77/1.27 showgenerated = 0
% 0.77/1.27 showkept = 0
% 0.77/1.27 showselected = 0
% 0.77/1.27 showdeleted = 0
% 0.77/1.27 showresimp = 1
% 0.77/1.27 showstatus = 2000
% 0.77/1.27
% 0.77/1.27 prologoutput = 1
% 0.77/1.27 nrgoals = 5000000
% 0.77/1.27 totalproof = 1
% 0.77/1.27
% 0.77/1.27 Symbols occurring in the translation:
% 0.77/1.27
% 0.77/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.27 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.77/1.27 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.77/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.27 'union_of_members' [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.77/1.27 'element_of_set' [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.77/1.27 f1 [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.77/1.27 'element_of_collection' [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.77/1.27 basis [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.77/1.27 'equal_sets' [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.77/1.27 'top_of_basis' [49, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.27 f10 [50, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.77/1.27 'subset_sets' [51, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.77/1.27 'in_1st_set' [53, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.77/1.27 cx [54, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.77/1.27 f [55, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Starting Search:
% 0.77/1.27
% 0.77/1.27 Resimplifying inuse:
% 0.77/1.27 Done
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Intermediate Status:
% 0.77/1.27 Generated: 4478
% 0.77/1.27 Kept: 2043
% 0.77/1.27 Inuse: 216
% 0.77/1.27 Deleted: 10
% 0.77/1.27 Deletedinuse: 0
% 0.77/1.27
% 0.77/1.27 Resimplifying inuse:
% 0.77/1.27 Done
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Bliksems!, er is een bewijs:
% 0.77/1.27 % SZS status Unsatisfiable
% 0.77/1.27 % SZS output start Refutation
% 0.77/1.27
% 0.77/1.27 clause( 0, [ 'element_of_set'( X, f1( Y, X ) ), ~( 'element_of_set'( X,
% 0.77/1.27 'union_of_members'( Y ) ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 1, [ 'element_of_collection'( f1( Y, X ), Y ), ~( 'element_of_set'(
% 0.77/1.27 X, 'union_of_members'( Y ) ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 2, [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~(
% 0.77/1.27 'element_of_collection'( Z, Y ) ), ~( 'element_of_set'( X, Z ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 3, [ 'equal_sets'( 'union_of_members'( Y ), X ), ~( basis( X, Y ) )
% 0.77/1.27 ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 4, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 'element_of_set'( Z, f10( Y, X, Z ) ), ~( 'element_of_set'( Z, X ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 5, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 'element_of_collection'( f10( Y, X, Z ), Y ), ~( 'element_of_set'( Z, X )
% 0.77/1.27 ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 7, [ ~( 'subset_sets'( X, Y ) ), 'element_of_set'( Z, Y ), ~(
% 0.77/1.27 'element_of_set'( Z, X ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 8, [ 'subset_sets'( X, Y ), ~( 'equal_sets'( X, Y ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 9, [ 'element_of_set'( 'in_1st_set'( X, Y ), X ), 'subset_sets'( X
% 0.77/1.27 , Y ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 10, [ 'subset_sets'( X, Y ), ~( 'element_of_set'( 'in_1st_set'( X,
% 0.77/1.27 Y ), Y ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 11, [ basis( cx, f ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 12, [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) ),
% 0.77/1.27 cx ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 13, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 14, [ 'equal_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 15, [ 'subset_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 16, [ 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( f ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 17, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 22, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( X, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ), ~(
% 0.77/1.27 'element_of_collection'( f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'top_of_basis'( X ) )
% 0.77/1.27 ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 25, [ 'element_of_collection'( f10( X, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ), ~(
% 0.77/1.27 'element_of_collection'( f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'top_of_basis'( X ) )
% 0.77/1.27 ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 42, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 48, [ 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), f ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 183, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( X ) ), ~(
% 0.77/1.27 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 2394, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( f ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 2398, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), X ), ~( 'subset_sets'( 'union_of_members'( f
% 0.77/1.27 ), X ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 2423, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), cx ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 2429, [] )
% 0.77/1.27 .
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 % SZS output end Refutation
% 0.77/1.27 found a proof!
% 0.77/1.27
% 0.77/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.27
% 0.77/1.27 initialclauses(
% 0.77/1.27 [ clause( 2431, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.77/1.27 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.77/1.27 , clause( 2432, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.77/1.27 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.77/1.27 , clause( 2433, [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~(
% 0.77/1.27 'element_of_set'( X, Z ) ), ~( 'element_of_collection'( Z, Y ) ) ] )
% 0.77/1.27 , clause( 2434, [ ~( basis( X, Y ) ), 'equal_sets'( 'union_of_members'( Y )
% 0.77/1.27 , X ) ] )
% 0.77/1.27 , clause( 2435, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ] )
% 0.77/1.27 , clause( 2436, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 ~( 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y
% 0.77/1.27 ) ] )
% 0.77/1.27 , clause( 2437, [ 'subset_sets'( X, X ) ] )
% 0.77/1.27 , clause( 2438, [ ~( 'subset_sets'( X, Y ) ), ~( 'element_of_set'( Z, X ) )
% 0.77/1.27 , 'element_of_set'( Z, Y ) ] )
% 0.77/1.27 , clause( 2439, [ ~( 'equal_sets'( X, Y ) ), 'subset_sets'( X, Y ) ] )
% 0.77/1.27 , clause( 2440, [ 'subset_sets'( X, Y ), 'element_of_set'( 'in_1st_set'( X
% 0.77/1.27 , Y ), X ) ] )
% 0.77/1.27 , clause( 2441, [ 'subset_sets'( X, Y ), ~( 'element_of_set'( 'in_1st_set'(
% 0.77/1.27 X, Y ), Y ) ) ] )
% 0.77/1.27 , clause( 2442, [ basis( cx, f ) ] )
% 0.77/1.27 , clause( 2443, [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f )
% 0.77/1.27 ), cx ) ) ] )
% 0.77/1.27 ] ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 0, [ 'element_of_set'( X, f1( Y, X ) ), ~( 'element_of_set'( X,
% 0.77/1.27 'union_of_members'( Y ) ) ) ] )
% 0.77/1.27 , clause( 2431, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.77/1.27 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.77/1.27 ), ==>( 1, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 1, [ 'element_of_collection'( f1( Y, X ), Y ), ~( 'element_of_set'(
% 0.77/1.27 X, 'union_of_members'( Y ) ) ) ] )
% 0.77/1.27 , clause( 2432, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.77/1.27 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.77/1.27 ), ==>( 1, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 2, [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~(
% 0.77/1.27 'element_of_collection'( Z, Y ) ), ~( 'element_of_set'( X, Z ) ) ] )
% 0.77/1.27 , clause( 2433, [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~(
% 0.77/1.27 'element_of_set'( X, Z ) ), ~( 'element_of_collection'( Z, Y ) ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 3, [ 'equal_sets'( 'union_of_members'( Y ), X ), ~( basis( X, Y ) )
% 0.77/1.27 ] )
% 0.77/1.27 , clause( 2434, [ ~( basis( X, Y ) ), 'equal_sets'( 'union_of_members'( Y )
% 0.77/1.27 , X ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.77/1.27 ), ==>( 1, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 4, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 'element_of_set'( Z, f10( Y, X, Z ) ), ~( 'element_of_set'( Z, X ) ) ] )
% 0.77/1.27 , clause( 2435, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 5, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 'element_of_collection'( f10( Y, X, Z ), Y ), ~( 'element_of_set'( Z, X )
% 0.77/1.27 ) ] )
% 0.77/1.27 , clause( 2436, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 ~( 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y
% 0.77/1.27 ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 7, [ ~( 'subset_sets'( X, Y ) ), 'element_of_set'( Z, Y ), ~(
% 0.77/1.27 'element_of_set'( Z, X ) ) ] )
% 0.77/1.27 , clause( 2438, [ ~( 'subset_sets'( X, Y ) ), ~( 'element_of_set'( Z, X ) )
% 0.77/1.27 , 'element_of_set'( Z, Y ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 8, [ 'subset_sets'( X, Y ), ~( 'equal_sets'( X, Y ) ) ] )
% 0.77/1.27 , clause( 2439, [ ~( 'equal_sets'( X, Y ) ), 'subset_sets'( X, Y ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.77/1.27 ), ==>( 1, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 9, [ 'element_of_set'( 'in_1st_set'( X, Y ), X ), 'subset_sets'( X
% 0.77/1.27 , Y ) ] )
% 0.77/1.27 , clause( 2440, [ 'subset_sets'( X, Y ), 'element_of_set'( 'in_1st_set'( X
% 0.77/1.27 , Y ), X ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.77/1.27 ), ==>( 1, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 10, [ 'subset_sets'( X, Y ), ~( 'element_of_set'( 'in_1st_set'( X,
% 0.77/1.27 Y ), Y ) ) ] )
% 0.77/1.27 , clause( 2441, [ 'subset_sets'( X, Y ), ~( 'element_of_set'( 'in_1st_set'(
% 0.77/1.27 X, Y ), Y ) ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.27 ), ==>( 1, 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 11, [ basis( cx, f ) ] )
% 0.77/1.27 , clause( 2442, [ basis( cx, f ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 12, [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) ),
% 0.77/1.27 cx ) ) ] )
% 0.77/1.27 , clause( 2443, [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f )
% 0.77/1.27 ), cx ) ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2444, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 ] )
% 0.77/1.27 , clause( 12, [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) )
% 0.77/1.27 , cx ) ) ] )
% 0.77/1.27 , 0, clause( 9, [ 'element_of_set'( 'in_1st_set'( X, Y ), X ),
% 0.77/1.27 'subset_sets'( X, Y ) ] )
% 0.77/1.27 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ) ), :=( Y, cx )] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 13, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 ] )
% 0.77/1.27 , clause( 2444, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2445, [ 'equal_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , clause( 3, [ 'equal_sets'( 'union_of_members'( Y ), X ), ~( basis( X, Y )
% 0.77/1.27 ) ] )
% 0.77/1.27 , 1, clause( 11, [ basis( cx, f ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, cx ), :=( Y, f )] ), substitution( 1, [] )
% 0.77/1.27 ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 14, [ 'equal_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , clause( 2445, [ 'equal_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2446, [ 'subset_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , clause( 8, [ 'subset_sets'( X, Y ), ~( 'equal_sets'( X, Y ) ) ] )
% 0.77/1.27 , 1, clause( 14, [ 'equal_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, 'union_of_members'( f ) ), :=( Y, cx )] ),
% 0.77/1.27 substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 15, [ 'subset_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , clause( 2446, [ 'subset_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2447, [ 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( f ) ) ] )
% 0.77/1.27 , clause( 1, [ 'element_of_collection'( f1( Y, X ), Y ), ~(
% 0.77/1.27 'element_of_set'( X, 'union_of_members'( Y ) ) ) ] )
% 0.77/1.27 , 1, clause( 13, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ) ), :=( Y, 'top_of_basis'( f ) )] ),
% 0.77/1.27 substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 16, [ 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( f ) ) ] )
% 0.77/1.27 , clause( 2447, [ 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( f ) ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2448, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , clause( 0, [ 'element_of_set'( X, f1( Y, X ) ), ~( 'element_of_set'( X,
% 0.77/1.27 'union_of_members'( Y ) ) ) ] )
% 0.77/1.27 , 1, clause( 13, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ) ), :=( Y, 'top_of_basis'( f ) )] ),
% 0.77/1.27 substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 17, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , clause( 2448, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2449, [ ~( 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( X ) ) ), 'element_of_set'( 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ), f10( X, f1(
% 0.77/1.27 'top_of_basis'( f ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f
% 0.77/1.27 ) ), cx ) ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx
% 0.77/1.27 ) ) ) ] )
% 0.77/1.27 , clause( 4, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 'element_of_set'( Z, f10( Y, X, Z ) ), ~( 'element_of_set'( Z, X ) ) ] )
% 0.77/1.27 , 2, clause( 17, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ), :=( Y, X ), :=( Z,
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) )] ),
% 0.77/1.27 substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 22, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( X, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ), ~(
% 0.77/1.27 'element_of_collection'( f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'top_of_basis'( X ) )
% 0.77/1.27 ) ] )
% 0.77/1.27 , clause( 2449, [ ~( 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( X ) ) ), 'element_of_set'( 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ), f10( X, f1(
% 0.77/1.27 'top_of_basis'( f ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f
% 0.77/1.27 ) ), cx ) ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx
% 0.77/1.27 ) ) ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.77/1.27 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2450, [ ~( 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( X ) ) ), 'element_of_collection'( f10( X, f1(
% 0.77/1.27 'top_of_basis'( f ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f
% 0.77/1.27 ) ), cx ) ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx
% 0.77/1.27 ) ), X ) ] )
% 0.77/1.27 , clause( 5, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.77/1.27 'element_of_collection'( f10( Y, X, Z ), Y ), ~( 'element_of_set'( Z, X )
% 0.77/1.27 ) ] )
% 0.77/1.27 , 2, clause( 17, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ), :=( Y, X ), :=( Z,
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) )] ),
% 0.77/1.27 substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 25, [ 'element_of_collection'( f10( X, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ), ~(
% 0.77/1.27 'element_of_collection'( f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'top_of_basis'( X ) )
% 0.77/1.27 ) ] )
% 0.77/1.27 , clause( 2450, [ ~( 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( X ) ) ), 'element_of_collection'( f10( X, f1(
% 0.77/1.27 'top_of_basis'( f ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f
% 0.77/1.27 ) ), cx ) ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx
% 0.77/1.27 ) ), X ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.77/1.27 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2451, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , clause( 22, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( X, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ), ~(
% 0.77/1.27 'element_of_collection'( f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'top_of_basis'( X ) )
% 0.77/1.27 ) ] )
% 0.77/1.27 , 1, clause( 16, [ 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( f ) ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, f )] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 42, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , clause( 2451, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2452, [ 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), f ) ] )
% 0.77/1.27 , clause( 25, [ 'element_of_collection'( f10( X, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ), ~(
% 0.77/1.27 'element_of_collection'( f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'top_of_basis'( X ) )
% 0.77/1.27 ) ] )
% 0.77/1.27 , 1, clause( 16, [ 'element_of_collection'( f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'top_of_basis'( f ) ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, f )] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 48, [ 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), f ) ] )
% 0.77/1.27 , clause( 2452, [ 'element_of_collection'( f10( f, f1( 'top_of_basis'( f )
% 0.77/1.27 , 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), f ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2453, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( X ) ), ~(
% 0.77/1.27 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ) ) ] )
% 0.77/1.27 , clause( 2, [ 'element_of_set'( X, 'union_of_members'( Y ) ), ~(
% 0.77/1.27 'element_of_collection'( Z, Y ) ), ~( 'element_of_set'( X, Z ) ) ] )
% 0.77/1.27 , 2, clause( 42, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), f10( f, f1( 'top_of_basis'( f ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ) ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ) ), :=( Y, X ), :=( Z, f10( f, f1(
% 0.77/1.27 'top_of_basis'( f ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f
% 0.77/1.27 ) ), cx ) ), 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx
% 0.77/1.27 ) ) )] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 183, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( X ) ), ~(
% 0.77/1.27 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ) ) ] )
% 0.77/1.27 , clause( 2453, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( X ) ), ~(
% 0.77/1.27 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ) ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.77/1.27 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2454, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( f ) ) ] )
% 0.77/1.27 , clause( 183, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( X ) ), ~(
% 0.77/1.27 'element_of_collection'( f10( f, f1( 'top_of_basis'( f ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), 'in_1st_set'(
% 0.77/1.27 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), X ) ) ] )
% 0.77/1.27 , 1, clause( 48, [ 'element_of_collection'( f10( f, f1( 'top_of_basis'( f )
% 0.77/1.27 , 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ),
% 0.77/1.27 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) ), f ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, f )] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 2394, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( f ) ) ] )
% 0.77/1.27 , clause( 2454, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( f ) ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2455, [ ~( 'subset_sets'( 'union_of_members'( f ), X ) ),
% 0.77/1.27 'element_of_set'( 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) )
% 0.77/1.27 , cx ), X ) ] )
% 0.77/1.27 , clause( 7, [ ~( 'subset_sets'( X, Y ) ), 'element_of_set'( Z, Y ), ~(
% 0.77/1.27 'element_of_set'( Z, X ) ) ] )
% 0.77/1.27 , 2, clause( 2394, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), 'union_of_members'( f ) ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, 'union_of_members'( f ) ), :=( Y, X ), :=( Z
% 0.77/1.27 , 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) ), cx ) )] ),
% 0.77/1.27 substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 2398, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), X ), ~( 'subset_sets'( 'union_of_members'( f
% 0.77/1.27 ), X ) ) ] )
% 0.77/1.27 , clause( 2455, [ ~( 'subset_sets'( 'union_of_members'( f ), X ) ),
% 0.77/1.27 'element_of_set'( 'in_1st_set'( 'union_of_members'( 'top_of_basis'( f ) )
% 0.77/1.27 , cx ), X ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.77/1.27 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2456, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), cx ) ] )
% 0.77/1.27 , clause( 2398, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), X ), ~( 'subset_sets'( 'union_of_members'( f
% 0.77/1.27 ), X ) ) ] )
% 0.77/1.27 , 1, clause( 15, [ 'subset_sets'( 'union_of_members'( f ), cx ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, cx )] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 2423, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), cx ) ] )
% 0.77/1.27 , clause( 2456, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), cx ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2457, [ 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) ),
% 0.77/1.27 cx ) ] )
% 0.77/1.27 , clause( 10, [ 'subset_sets'( X, Y ), ~( 'element_of_set'( 'in_1st_set'( X
% 0.77/1.27 , Y ), Y ) ) ] )
% 0.77/1.27 , 1, clause( 2423, [ 'element_of_set'( 'in_1st_set'( 'union_of_members'(
% 0.77/1.27 'top_of_basis'( f ) ), cx ), cx ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, 'union_of_members'( 'top_of_basis'( f ) ) )
% 0.77/1.27 , :=( Y, cx )] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 2458, [] )
% 0.77/1.27 , clause( 12, [ ~( 'subset_sets'( 'union_of_members'( 'top_of_basis'( f ) )
% 0.77/1.27 , cx ) ) ] )
% 0.77/1.27 , 0, clause( 2457, [ 'subset_sets'( 'union_of_members'( 'top_of_basis'( f )
% 0.77/1.27 ), cx ) ] )
% 0.77/1.27 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 2429, [] )
% 0.77/1.27 , clause( 2458, [] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 end.
% 0.77/1.27
% 0.77/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.27
% 0.77/1.27 Memory use:
% 0.77/1.27
% 0.77/1.27 space for terms: 111616
% 0.77/1.27 space for clauses: 130091
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 clauses generated: 5787
% 0.77/1.27 clauses kept: 2430
% 0.77/1.27 clauses selected: 243
% 0.77/1.27 clauses deleted: 12
% 0.77/1.27 clauses inuse deleted: 1
% 0.77/1.27
% 0.77/1.27 subsentry: 173539
% 0.77/1.27 literals s-matched: 65405
% 0.77/1.27 literals matched: 42558
% 0.77/1.27 full subsumption: 31310
% 0.77/1.27
% 0.77/1.27 checksum: 2087495348
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Bliksem ended
%------------------------------------------------------------------------------