TSTP Solution File: TOP005-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 0.75s 1.59s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun May 29 11:46:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.59 *** allocated 10000 integers for termspace/termends
% 0.75/1.59 *** allocated 10000 integers for clauses
% 0.75/1.59 *** allocated 10000 integers for justifications
% 0.75/1.59 Bliksem 1.12
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 Automatic Strategy Selection
% 0.75/1.59
% 0.75/1.59 Clauses:
% 0.75/1.59 [
% 0.75/1.59 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ), 'element_of_set'(
% 0.75/1.59 X, f1( Y, X ) ) ],
% 0.75/1.59 [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_collection'( f1( Y, X ), Y ) ],
% 0.75/1.59 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.75/1.59 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ],
% 0.75/1.59 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.75/1.59 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y )
% 0.75/1.59 ],
% 0.75/1.59 [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ), ~(
% 0.75/1.59 'element_of_set'( Z, X ) ), 'subset_sets'( f10( Y, X, Z ), X ) ],
% 0.75/1.59 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), 'element_of_set'(
% 0.75/1.59 f11( Y, X ), X ) ],
% 0.75/1.59 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~( 'element_of_set'(
% 0.75/1.59 f11( Y, X ), Z ) ), ~( 'element_of_collection'( Z, Y ) ), ~(
% 0.75/1.59 'subset_sets'( Z, X ) ) ],
% 0.75/1.59 [ 'subset_sets'( X, Y ), ~( 'element_of_set'( Z, X ) ), 'element_of_set'(
% 0.75/1.59 Z, Y ) ],
% 0.75/1.59 [ ~( 'subset_sets'( X, Y ) ), ~( 'element_of_collection'( Y, Z ) ),
% 0.75/1.59 'subset_sets'( X, 'union_of_members'( Z ) ) ],
% 0.75/1.59 [ ~( 'subset_collections'( X, Y ) ), ~( 'element_of_collection'( Z, X )
% 0.75/1.59 ), 'element_of_collection'( Z, Y ) ],
% 0.75/1.59 [ 'subset_collections'( g, 'top_of_basis'( f ) ) ],
% 0.75/1.59 [ ~( 'element_of_collection'( 'union_of_members'( g ), 'top_of_basis'( f
% 0.75/1.59 ) ) ) ]
% 0.75/1.59 ] .
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 percentage equality = 0.000000, percentage horn = 0.833333
% 0.75/1.59 This a non-horn, non-equality problem
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 Options Used:
% 0.75/1.59
% 0.75/1.59 useres = 1
% 0.75/1.59 useparamod = 0
% 0.75/1.59 useeqrefl = 0
% 0.75/1.59 useeqfact = 0
% 0.75/1.59 usefactor = 1
% 0.75/1.59 usesimpsplitting = 0
% 0.75/1.59 usesimpdemod = 0
% 0.75/1.59 usesimpres = 3
% 0.75/1.59
% 0.75/1.59 resimpinuse = 1000
% 0.75/1.59 resimpclauses = 20000
% 0.75/1.59 substype = standard
% 0.75/1.59 backwardsubs = 1
% 0.75/1.59 selectoldest = 5
% 0.75/1.59
% 0.75/1.59 litorderings [0] = split
% 0.75/1.59 litorderings [1] = liftord
% 0.75/1.59
% 0.75/1.59 termordering = none
% 0.75/1.59
% 0.75/1.59 litapriori = 1
% 0.75/1.59 termapriori = 0
% 0.75/1.59 litaposteriori = 0
% 0.75/1.59 termaposteriori = 0
% 0.75/1.59 demodaposteriori = 0
% 0.75/1.59 ordereqreflfact = 0
% 0.75/1.59
% 0.75/1.59 litselect = none
% 0.75/1.59
% 0.75/1.59 maxweight = 15
% 0.75/1.59 maxdepth = 30000
% 0.75/1.59 maxlength = 115
% 0.75/1.59 maxnrvars = 195
% 0.75/1.59 excuselevel = 1
% 0.75/1.59 increasemaxweight = 1
% 0.75/1.59
% 0.75/1.59 maxselected = 10000000
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59
% 0.75/1.59 showgenerated = 0
% 0.75/1.59 showkept = 0
% 0.75/1.59 showselected = 0
% 0.75/1.59 showdeleted = 0
% 0.75/1.59 showresimp = 1
% 0.75/1.59 showstatus = 2000
% 0.75/1.59
% 0.75/1.59 prologoutput = 1
% 0.75/1.59 nrgoals = 5000000
% 0.75/1.59 totalproof = 1
% 0.75/1.59
% 0.75/1.59 Symbols occurring in the translation:
% 0.75/1.59
% 0.75/1.59 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.59 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.59 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.75/1.59 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.59 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.59 'union_of_members' [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.59 'element_of_set' [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.59 f1 [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.75/1.59 'element_of_collection' [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.59 'top_of_basis' [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.59 f10 [47, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.59 'subset_sets' [48, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.75/1.59 f11 [49, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.75/1.59 'subset_collections' [53, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.75/1.59 g [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.59 f [55, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 15
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 133
% 0.75/1.59 Kept: 30
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 16
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 16
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 139
% 0.75/1.59 Kept: 31
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 17
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 17
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 153
% 0.75/1.59 Kept: 35
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 18
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 18
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 171
% 0.75/1.59 Kept: 36
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 19
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 19
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 177
% 0.75/1.59 Kept: 37
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 20
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 20
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 186
% 0.75/1.59 Kept: 39
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 21
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 21
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 211
% 0.75/1.59 Kept: 45
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 22
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 22
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 262
% 0.75/1.59 Kept: 49
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 23
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 23
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 674
% 0.75/1.59 Kept: 71
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 24
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 24
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 892
% 0.75/1.59 Kept: 83
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 25
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 25
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 1370
% 0.75/1.59 Kept: 98
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 26
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 26
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 3549
% 0.75/1.59 Kept: 144
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 27
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 27
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 11455
% 0.75/1.59 Kept: 226
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 28
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 28
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 20875
% 0.75/1.59 Kept: 288
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 29
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59 Resimplifying inuse:
% 0.75/1.59 Done
% 0.75/1.59
% 0.75/1.59 Failed to find proof!
% 0.75/1.59 maxweight = 29
% 0.75/1.59 maxnrclauses = 10000000
% 0.75/1.59 Generated: 50112
% 0.75/1.59 Kept: 429
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 The strategy used was not complete!
% 0.75/1.59
% 0.75/1.59 Increased maxweight to 30
% 0.75/1.59
% 0.75/1.59 Starting Search:
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 Bliksems!, er is een bewijs:
% 0.75/1.59 % SZS status Unsatisfiable
% 0.75/1.59 % SZS output start Refutation
% 0.75/1.59
% 0.75/1.59 clause( 0, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 1, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 2, [ ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X
% 0.75/1.59 , Z ) ), ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 3, [ ~( 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y
% 0.75/1.59 , X, Z ), Y ), ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ) ]
% 0.75/1.59 )
% 0.75/1.59 .
% 0.75/1.59 clause( 4, [ ~( 'element_of_set'( Z, X ) ), ~( 'element_of_collection'( X,
% 0.75/1.59 'top_of_basis'( Y ) ) ), 'subset_sets'( f10( Y, X, Z ), X ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 5, [ 'element_of_set'( f11( Y, X ), X ), 'element_of_collection'( X
% 0.75/1.59 , 'top_of_basis'( Y ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 6, [ ~( 'element_of_set'( f11( Y, X ), Z ) ),
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~(
% 0.75/1.59 'element_of_collection'( Z, Y ) ), ~( 'subset_sets'( Z, X ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 8, [ ~( 'element_of_collection'( Y, Z ) ), 'subset_sets'( X,
% 0.75/1.59 'union_of_members'( Z ) ), ~( 'subset_sets'( X, Y ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 9, [ ~( 'element_of_collection'( Z, X ) ), 'element_of_collection'(
% 0.75/1.59 Z, Y ), ~( 'subset_collections'( X, Y ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 10, [ 'subset_collections'( g, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 11, [ ~( 'element_of_collection'( 'union_of_members'( g ),
% 0.75/1.59 'top_of_basis'( f ) ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 12, [ ~( 'element_of_collection'( X, g ) ), 'element_of_collection'(
% 0.75/1.59 X, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 14, [ 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.59 'union_of_members'( g ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 17, [ ~( 'element_of_set'( X, Y ) ), 'element_of_set'( X, f10( f, Y
% 0.75/1.59 , X ) ), ~( 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 20, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~( 'element_of_set'(
% 0.75/1.59 Y, 'union_of_members'( g ) ) ), 'element_of_set'( X, f10( f, f1( g, Y ),
% 0.75/1.59 X ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 21, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_collection'( Y
% 0.75/1.59 , 'top_of_basis'( Z ) ) ), ~( 'element_of_collection'( Y, T ) ),
% 0.75/1.59 'subset_sets'( f10( Z, Y, X ), 'union_of_members'( T ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 63, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( U,
% 0.75/1.59 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.59 Y, 'top_of_basis'( Z ) ) ), 'element_of_collection'( 'union_of_members'(
% 0.75/1.59 T ), 'top_of_basis'( U ) ), ~( 'element_of_collection'( f10( Z, Y, X ), U
% 0.75/1.59 ) ), ~( 'element_of_collection'( Y, T ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 343, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z,
% 0.75/1.59 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), 'element_of_collection'(
% 0.75/1.59 'union_of_members'( T ), 'top_of_basis'( Z ) ), ~(
% 0.75/1.59 'element_of_collection'( Y, T ) ), ~( 'element_of_collection'( Y,
% 0.75/1.59 'top_of_basis'( Z ) ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 352, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.59 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.59 Y, g ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 355, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~( 'element_of_set'(
% 0.75/1.59 Y, 'union_of_members'( g ) ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.59 'union_of_members'( g ) ), f10( f, f1( g, Y ), X ) ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 357, [ ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.59 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1( g, X ) ) ) ] )
% 0.75/1.59 .
% 0.75/1.59 clause( 360, [] )
% 0.75/1.59 .
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 % SZS output end Refutation
% 0.75/1.59 found a proof!
% 0.75/1.59
% 0.75/1.59 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.59
% 0.75/1.59 initialclauses(
% 0.75/1.59 [ clause( 362, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.75/1.59 , clause( 363, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.75/1.59 , clause( 364, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.75/1.59 ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ] )
% 0.75/1.59 , clause( 365, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.75/1.59 ~( 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y
% 0.75/1.59 ) ] )
% 0.75/1.59 , clause( 366, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.75/1.59 ~( 'element_of_set'( Z, X ) ), 'subset_sets'( f10( Y, X, Z ), X ) ] )
% 0.75/1.59 , clause( 367, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.75/1.59 'element_of_set'( f11( Y, X ), X ) ] )
% 0.75/1.59 , clause( 368, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~(
% 0.75/1.59 'element_of_set'( f11( Y, X ), Z ) ), ~( 'element_of_collection'( Z, Y )
% 0.75/1.59 ), ~( 'subset_sets'( Z, X ) ) ] )
% 0.75/1.59 , clause( 369, [ 'subset_sets'( X, Y ), ~( 'element_of_set'( Z, X ) ),
% 0.75/1.59 'element_of_set'( Z, Y ) ] )
% 0.75/1.59 , clause( 370, [ ~( 'subset_sets'( X, Y ) ), ~( 'element_of_collection'( Y
% 0.75/1.59 , Z ) ), 'subset_sets'( X, 'union_of_members'( Z ) ) ] )
% 0.75/1.59 , clause( 371, [ ~( 'subset_collections'( X, Y ) ), ~(
% 0.75/1.59 'element_of_collection'( Z, X ) ), 'element_of_collection'( Z, Y ) ] )
% 0.75/1.59 , clause( 372, [ 'subset_collections'( g, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , clause( 373, [ ~( 'element_of_collection'( 'union_of_members'( g ),
% 0.75/1.59 'top_of_basis'( f ) ) ) ] )
% 0.75/1.59 ] ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 0, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.75/1.59 , clause( 362, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.59 ), ==>( 1, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 1, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.75/1.59 , clause( 363, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.59 ), ==>( 1, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 2, [ ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X
% 0.75/1.59 , Z ) ), ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ) ] )
% 0.75/1.59 , clause( 364, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.75/1.59 ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y, X, Z ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 3, [ ~( 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y
% 0.75/1.59 , X, Z ), Y ), ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ) ]
% 0.75/1.59 )
% 0.75/1.59 , clause( 365, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.75/1.59 ~( 'element_of_set'( Z, X ) ), 'element_of_collection'( f10( Y, X, Z ), Y
% 0.75/1.59 ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 4, [ ~( 'element_of_set'( Z, X ) ), ~( 'element_of_collection'( X,
% 0.75/1.59 'top_of_basis'( Y ) ) ), 'subset_sets'( f10( Y, X, Z ), X ) ] )
% 0.75/1.59 , clause( 366, [ ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ),
% 0.75/1.59 ~( 'element_of_set'( Z, X ) ), 'subset_sets'( f10( Y, X, Z ), X ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 5, [ 'element_of_set'( f11( Y, X ), X ), 'element_of_collection'( X
% 0.75/1.59 , 'top_of_basis'( Y ) ) ] )
% 0.75/1.59 , clause( 367, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.75/1.59 'element_of_set'( f11( Y, X ), X ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.59 ), ==>( 1, 0 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 6, [ ~( 'element_of_set'( f11( Y, X ), Z ) ),
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~(
% 0.75/1.59 'element_of_collection'( Z, Y ) ), ~( 'subset_sets'( Z, X ) ) ] )
% 0.75/1.59 , clause( 368, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~(
% 0.75/1.59 'element_of_set'( f11( Y, X ), Z ) ), ~( 'element_of_collection'( Z, Y )
% 0.75/1.59 ), ~( 'subset_sets'( Z, X ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.75/1.59 ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 8, [ ~( 'element_of_collection'( Y, Z ) ), 'subset_sets'( X,
% 0.75/1.59 'union_of_members'( Z ) ), ~( 'subset_sets'( X, Y ) ) ] )
% 0.75/1.59 , clause( 370, [ ~( 'subset_sets'( X, Y ) ), ~( 'element_of_collection'( Y
% 0.75/1.59 , Z ) ), 'subset_sets'( X, 'union_of_members'( Z ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 9, [ ~( 'element_of_collection'( Z, X ) ), 'element_of_collection'(
% 0.75/1.59 Z, Y ), ~( 'subset_collections'( X, Y ) ) ] )
% 0.75/1.59 , clause( 371, [ ~( 'subset_collections'( X, Y ) ), ~(
% 0.75/1.59 'element_of_collection'( Z, X ) ), 'element_of_collection'( Z, Y ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 10, [ 'subset_collections'( g, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , clause( 372, [ 'subset_collections'( g, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 11, [ ~( 'element_of_collection'( 'union_of_members'( g ),
% 0.75/1.59 'top_of_basis'( f ) ) ) ] )
% 0.75/1.59 , clause( 373, [ ~( 'element_of_collection'( 'union_of_members'( g ),
% 0.75/1.59 'top_of_basis'( f ) ) ) ] )
% 0.75/1.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 resolution(
% 0.75/1.59 clause( 374, [ ~( 'element_of_collection'( X, g ) ),
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , clause( 9, [ ~( 'element_of_collection'( Z, X ) ),
% 0.75/1.59 'element_of_collection'( Z, Y ), ~( 'subset_collections'( X, Y ) ) ] )
% 0.75/1.59 , 2, clause( 10, [ 'subset_collections'( g, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , 0, substitution( 0, [ :=( X, g ), :=( Y, 'top_of_basis'( f ) ), :=( Z, X
% 0.75/1.59 )] ), substitution( 1, [] )).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 12, [ ~( 'element_of_collection'( X, g ) ), 'element_of_collection'(
% 0.75/1.59 X, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , clause( 374, [ ~( 'element_of_collection'( X, g ) ),
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.59 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 resolution(
% 0.75/1.59 clause( 375, [ 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.59 'union_of_members'( g ) ) ] )
% 0.75/1.59 , clause( 11, [ ~( 'element_of_collection'( 'union_of_members'( g ),
% 0.75/1.59 'top_of_basis'( f ) ) ) ] )
% 0.75/1.59 , 0, clause( 5, [ 'element_of_set'( f11( Y, X ), X ),
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( Y ) ) ] )
% 0.75/1.59 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'union_of_members'( g
% 0.75/1.59 ) ), :=( Y, f )] )).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 14, [ 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.59 'union_of_members'( g ) ) ] )
% 0.75/1.59 , clause( 375, [ 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.59 'union_of_members'( g ) ) ] )
% 0.75/1.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 resolution(
% 0.75/1.59 clause( 376, [ ~( 'element_of_set'( X, Y ) ), 'element_of_set'( X, f10( f,
% 0.75/1.59 Y, X ) ), ~( 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.59 , clause( 2, [ ~( 'element_of_set'( Z, X ) ), 'element_of_set'( Z, f10( Y,
% 0.75/1.59 X, Z ) ), ~( 'element_of_collection'( X, 'top_of_basis'( Y ) ) ) ] )
% 0.75/1.59 , 2, clause( 12, [ ~( 'element_of_collection'( X, g ) ),
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( f ) ) ] )
% 0.75/1.59 , 1, substitution( 0, [ :=( X, Y ), :=( Y, f ), :=( Z, X )] ),
% 0.75/1.59 substitution( 1, [ :=( X, Y )] )).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 17, [ ~( 'element_of_set'( X, Y ) ), 'element_of_set'( X, f10( f, Y
% 0.75/1.59 , X ) ), ~( 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.59 , clause( 376, [ ~( 'element_of_set'( X, Y ) ), 'element_of_set'( X, f10( f
% 0.75/1.59 , Y, X ) ), ~( 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.59 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 resolution(
% 0.75/1.59 clause( 377, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), 'element_of_set'( X
% 0.75/1.59 , f10( f, f1( g, Y ), X ) ), ~( 'element_of_set'( Y, 'union_of_members'(
% 0.75/1.59 g ) ) ) ] )
% 0.75/1.59 , clause( 17, [ ~( 'element_of_set'( X, Y ) ), 'element_of_set'( X, f10( f
% 0.75/1.59 , Y, X ) ), ~( 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.59 , 2, clause( 1, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.59 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.75/1.59 , 1, substitution( 0, [ :=( X, X ), :=( Y, f1( g, Y ) )] ), substitution( 1
% 0.75/1.59 , [ :=( X, Y ), :=( Y, g )] )).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 20, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~( 'element_of_set'(
% 0.75/1.59 Y, 'union_of_members'( g ) ) ), 'element_of_set'( X, f10( f, f1( g, Y ),
% 0.75/1.59 X ) ) ] )
% 0.75/1.59 , clause( 377, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), 'element_of_set'(
% 0.75/1.59 X, f10( f, f1( g, Y ), X ) ), ~( 'element_of_set'( Y, 'union_of_members'(
% 0.75/1.59 g ) ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.59 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 resolution(
% 0.75/1.59 clause( 378, [ ~( 'element_of_collection'( X, Y ) ), 'subset_sets'( f10( Z
% 0.75/1.59 , X, T ), 'union_of_members'( Y ) ), ~( 'element_of_set'( T, X ) ), ~(
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( Z ) ) ) ] )
% 0.75/1.59 , clause( 8, [ ~( 'element_of_collection'( Y, Z ) ), 'subset_sets'( X,
% 0.75/1.59 'union_of_members'( Z ) ), ~( 'subset_sets'( X, Y ) ) ] )
% 0.75/1.59 , 2, clause( 4, [ ~( 'element_of_set'( Z, X ) ), ~( 'element_of_collection'(
% 0.75/1.59 X, 'top_of_basis'( Y ) ) ), 'subset_sets'( f10( Y, X, Z ), X ) ] )
% 0.75/1.59 , 2, substitution( 0, [ :=( X, f10( Z, X, T ) ), :=( Y, X ), :=( Z, Y )] )
% 0.75/1.59 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] )).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 subsumption(
% 0.75/1.59 clause( 21, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_collection'( Y
% 0.75/1.59 , 'top_of_basis'( Z ) ) ), ~( 'element_of_collection'( Y, T ) ),
% 0.75/1.59 'subset_sets'( f10( Z, Y, X ), 'union_of_members'( T ) ) ] )
% 0.75/1.59 , clause( 378, [ ~( 'element_of_collection'( X, Y ) ), 'subset_sets'( f10(
% 0.75/1.59 Z, X, T ), 'union_of_members'( Y ) ), ~( 'element_of_set'( T, X ) ), ~(
% 0.75/1.59 'element_of_collection'( X, 'top_of_basis'( Z ) ) ) ] )
% 0.75/1.59 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] ),
% 0.75/1.59 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.75/1.59 ).
% 0.75/1.59
% 0.75/1.59
% 0.75/1.59 resolution(
% 0.75/1.59 clause( 388, [ ~( 'element_of_set'( f11( X, 'union_of_members'( Y ) ), f10(
% 0.75/1.59 Z, T, U ) ) ), 'element_of_collection'( 'union_of_members'( Y ),
% 0.75/1.59 'top_of_basis'( X ) ), ~( 'element_of_collection'( f10( Z, T, U ), X ) )
% 0.75/1.59 , ~( 'element_of_set'( U, T ) ), ~( 'element_of_collection'( T,
% 0.75/1.60 'top_of_basis'( Z ) ) ), ~( 'element_of_collection'( T, Y ) ) ] )
% 0.75/1.60 , clause( 6, [ ~( 'element_of_set'( f11( Y, X ), Z ) ),
% 0.75/1.60 'element_of_collection'( X, 'top_of_basis'( Y ) ), ~(
% 0.75/1.60 'element_of_collection'( Z, Y ) ), ~( 'subset_sets'( Z, X ) ) ] )
% 0.75/1.60 , 3, clause( 21, [ ~( 'element_of_set'( X, Y ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, 'top_of_basis'( Z ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, T ) ), 'subset_sets'( f10( Z, Y, X ),
% 0.75/1.60 'union_of_members'( T ) ) ] )
% 0.75/1.60 , 3, substitution( 0, [ :=( X, 'union_of_members'( Y ) ), :=( Y, X ), :=( Z
% 0.75/1.60 , f10( Z, T, U ) )] ), substitution( 1, [ :=( X, U ), :=( Y, T ), :=( Z,
% 0.75/1.60 Z ), :=( T, Y )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 subsumption(
% 0.75/1.60 clause( 63, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( U,
% 0.75/1.60 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, 'top_of_basis'( Z ) ) ), 'element_of_collection'( 'union_of_members'(
% 0.75/1.60 T ), 'top_of_basis'( U ) ), ~( 'element_of_collection'( f10( Z, Y, X ), U
% 0.75/1.60 ) ), ~( 'element_of_collection'( Y, T ) ) ] )
% 0.75/1.60 , clause( 388, [ ~( 'element_of_set'( f11( X, 'union_of_members'( Y ) ),
% 0.75/1.60 f10( Z, T, U ) ) ), 'element_of_collection'( 'union_of_members'( Y ),
% 0.75/1.60 'top_of_basis'( X ) ), ~( 'element_of_collection'( f10( Z, T, U ), X ) )
% 0.75/1.60 , ~( 'element_of_set'( U, T ) ), ~( 'element_of_collection'( T,
% 0.75/1.60 'top_of_basis'( Z ) ) ), ~( 'element_of_collection'( T, Y ) ) ] )
% 0.75/1.60 , substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, Z ), :=( T, Y ), :=( U
% 0.75/1.60 , X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2, 4 ), ==>( 3
% 0.75/1.60 , 0 ), ==>( 4, 2 ), ==>( 5, 5 )] ) ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 391, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z,
% 0.75/1.60 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, 'top_of_basis'( Z ) ) ), 'element_of_collection'( 'union_of_members'(
% 0.75/1.60 T ), 'top_of_basis'( Z ) ), ~( 'element_of_collection'( Y, T ) ), ~(
% 0.75/1.60 'element_of_set'( X, Y ) ), ~( 'element_of_collection'( Y, 'top_of_basis'(
% 0.75/1.60 Z ) ) ) ] )
% 0.75/1.60 , clause( 63, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( U
% 0.75/1.60 , 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, 'top_of_basis'( Z ) ) ),
% 0.75/1.60 'element_of_collection'( 'union_of_members'( T ), 'top_of_basis'( U ) ),
% 0.75/1.60 ~( 'element_of_collection'( f10( Z, Y, X ), U ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, T ) ) ] )
% 0.75/1.60 , 4, clause( 3, [ ~( 'element_of_set'( Z, X ) ), 'element_of_collection'(
% 0.75/1.60 f10( Y, X, Z ), Y ), ~( 'element_of_collection'( X, 'top_of_basis'( Y ) )
% 0.75/1.60 ) ] )
% 0.75/1.60 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.75/1.60 :=( U, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )
% 0.75/1.60 ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 factor(
% 0.75/1.60 clause( 394, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z,
% 0.75/1.60 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, 'top_of_basis'( Z ) ) ), 'element_of_collection'( 'union_of_members'(
% 0.75/1.60 T ), 'top_of_basis'( Z ) ), ~( 'element_of_collection'( Y, T ) ), ~(
% 0.75/1.60 'element_of_set'( X, Y ) ) ] )
% 0.75/1.60 , clause( 391, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z
% 0.75/1.60 , 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, 'top_of_basis'( Z ) ) ),
% 0.75/1.60 'element_of_collection'( 'union_of_members'( T ), 'top_of_basis'( Z ) ),
% 0.75/1.60 ~( 'element_of_collection'( Y, T ) ), ~( 'element_of_set'( X, Y ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, 'top_of_basis'( Z ) ) ) ] )
% 0.75/1.60 , 2, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.75/1.60 ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 factor(
% 0.75/1.60 clause( 395, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z,
% 0.75/1.60 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, 'top_of_basis'( Z ) ) ), 'element_of_collection'( 'union_of_members'(
% 0.75/1.60 T ), 'top_of_basis'( Z ) ), ~( 'element_of_collection'( Y, T ) ) ] )
% 0.75/1.60 , clause( 394, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z
% 0.75/1.60 , 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, 'top_of_basis'( Z ) ) ),
% 0.75/1.60 'element_of_collection'( 'union_of_members'( T ), 'top_of_basis'( Z ) ),
% 0.75/1.60 ~( 'element_of_collection'( Y, T ) ), ~( 'element_of_set'( X, Y ) ) ] )
% 0.75/1.60 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.75/1.60 ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 subsumption(
% 0.75/1.60 clause( 343, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z,
% 0.75/1.60 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), 'element_of_collection'(
% 0.75/1.60 'union_of_members'( T ), 'top_of_basis'( Z ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, T ) ), ~( 'element_of_collection'( Y,
% 0.75/1.60 'top_of_basis'( Z ) ) ) ] )
% 0.75/1.60 , clause( 395, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( Z
% 0.75/1.60 , 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, 'top_of_basis'( Z ) ) ),
% 0.75/1.60 'element_of_collection'( 'union_of_members'( T ), 'top_of_basis'( Z ) ),
% 0.75/1.60 ~( 'element_of_collection'( Y, T ) ) ] )
% 0.75/1.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.75/1.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 4 ), ==>( 3, 2 ),
% 0.75/1.60 ==>( 4, 3 )] ) ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 397, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, g ) ), ~( 'element_of_collection'( Y, 'top_of_basis'( f ) ) ) ] )
% 0.75/1.60 , clause( 11, [ ~( 'element_of_collection'( 'union_of_members'( g ),
% 0.75/1.60 'top_of_basis'( f ) ) ) ] )
% 0.75/1.60 , 0, clause( 343, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11(
% 0.75/1.60 Z, 'union_of_members'( T ) ), f10( Z, Y, X ) ) ), 'element_of_collection'(
% 0.75/1.60 'union_of_members'( T ), 'top_of_basis'( Z ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, T ) ), ~( 'element_of_collection'( Y,
% 0.75/1.60 'top_of_basis'( Z ) ) ) ] )
% 0.75/1.60 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.75/1.60 Z, f ), :=( T, g )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 398, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, g ) ), ~( 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.60 , clause( 397, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f
% 0.75/1.60 , 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, g ) ), ~( 'element_of_collection'( Y,
% 0.75/1.60 'top_of_basis'( f ) ) ) ] )
% 0.75/1.60 , 3, clause( 12, [ ~( 'element_of_collection'( X, g ) ),
% 0.75/1.60 'element_of_collection'( X, 'top_of_basis'( f ) ) ] )
% 0.75/1.60 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.75/1.60 , Y )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 factor(
% 0.75/1.60 clause( 399, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, g ) ) ] )
% 0.75/1.60 , clause( 398, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f
% 0.75/1.60 , 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, g ) ), ~( 'element_of_collection'( Y, g ) ) ]
% 0.75/1.60 )
% 0.75/1.60 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 subsumption(
% 0.75/1.60 clause( 352, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~( 'element_of_collection'(
% 0.75/1.60 Y, g ) ) ] )
% 0.75/1.60 , clause( 399, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f
% 0.75/1.60 , 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.60 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 400, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~( 'element_of_set'(
% 0.75/1.60 f11( f, 'union_of_members'( g ) ), f10( f, f1( g, Y ), X ) ) ), ~(
% 0.75/1.60 'element_of_set'( Y, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , clause( 352, [ ~( 'element_of_set'( X, Y ) ), ~( 'element_of_set'( f11( f
% 0.75/1.60 , 'union_of_members'( g ) ), f10( f, Y, X ) ) ), ~(
% 0.75/1.60 'element_of_collection'( Y, g ) ) ] )
% 0.75/1.60 , 2, clause( 1, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.60 'element_of_collection'( f1( Y, X ), Y ) ] )
% 0.75/1.60 , 1, substitution( 0, [ :=( X, X ), :=( Y, f1( g, Y ) )] ), substitution( 1
% 0.75/1.60 , [ :=( X, Y ), :=( Y, g )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 subsumption(
% 0.75/1.60 clause( 355, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~( 'element_of_set'(
% 0.75/1.60 Y, 'union_of_members'( g ) ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), f10( f, f1( g, Y ), X ) ) ) ] )
% 0.75/1.60 , clause( 400, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~(
% 0.75/1.60 'element_of_set'( f11( f, 'union_of_members'( g ) ), f10( f, f1( g, Y ),
% 0.75/1.60 X ) ) ), ~( 'element_of_set'( Y, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.60 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 401, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1(
% 0.75/1.60 g, X ) ) ), ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.60 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1( g, X ) ) ), ~(
% 0.75/1.60 'element_of_set'( X, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , clause( 355, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~(
% 0.75/1.60 'element_of_set'( Y, 'union_of_members'( g ) ) ), ~( 'element_of_set'(
% 0.75/1.60 f11( f, 'union_of_members'( g ) ), f10( f, f1( g, Y ), X ) ) ) ] )
% 0.75/1.60 , 2, clause( 20, [ ~( 'element_of_set'( X, f1( g, Y ) ) ), ~(
% 0.75/1.60 'element_of_set'( Y, 'union_of_members'( g ) ) ), 'element_of_set'( X,
% 0.75/1.60 f10( f, f1( g, Y ), X ) ) ] )
% 0.75/1.60 , 2, substitution( 0, [ :=( X, f11( f, 'union_of_members'( g ) ) ), :=( Y,
% 0.75/1.60 X )] ), substitution( 1, [ :=( X, f11( f, 'union_of_members'( g ) ) ),
% 0.75/1.60 :=( Y, X )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 factor(
% 0.75/1.60 clause( 402, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1(
% 0.75/1.60 g, X ) ) ), ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.60 'element_of_set'( X, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , clause( 401, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1(
% 0.75/1.60 g, X ) ) ), ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.60 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1( g, X ) ) ), ~(
% 0.75/1.60 'element_of_set'( X, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 factor(
% 0.75/1.60 clause( 403, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1(
% 0.75/1.60 g, X ) ) ), ~( 'element_of_set'( X, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , clause( 402, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1(
% 0.75/1.60 g, X ) ) ), ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.60 'element_of_set'( X, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 subsumption(
% 0.75/1.60 clause( 357, [ ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.60 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1( g, X ) ) ) ] )
% 0.75/1.60 , clause( 403, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1(
% 0.75/1.60 g, X ) ) ), ~( 'element_of_set'( X, 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.60 0 )] ) ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 404, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.60 'union_of_members'( g ) ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , clause( 357, [ ~( 'element_of_set'( X, 'union_of_members'( g ) ) ), ~(
% 0.75/1.60 'element_of_set'( f11( f, 'union_of_members'( g ) ), f1( g, X ) ) ) ] )
% 0.75/1.60 , 1, clause( 0, [ ~( 'element_of_set'( X, 'union_of_members'( Y ) ) ),
% 0.75/1.60 'element_of_set'( X, f1( Y, X ) ) ] )
% 0.75/1.60 , 1, substitution( 0, [ :=( X, f11( f, 'union_of_members'( g ) ) )] ),
% 0.75/1.60 substitution( 1, [ :=( X, f11( f, 'union_of_members'( g ) ) ), :=( Y, g )] )
% 0.75/1.60 ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 factor(
% 0.75/1.60 clause( 405, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.60 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , clause( 404, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.60 'union_of_members'( g ) ) ), ~( 'element_of_set'( f11( f,
% 0.75/1.60 'union_of_members'( g ) ), 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , 0, 1, substitution( 0, [] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 resolution(
% 0.75/1.60 clause( 407, [] )
% 0.75/1.60 , clause( 405, [ ~( 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.60 'union_of_members'( g ) ) ) ] )
% 0.75/1.60 , 0, clause( 14, [ 'element_of_set'( f11( f, 'union_of_members'( g ) ),
% 0.75/1.60 'union_of_members'( g ) ) ] )
% 0.75/1.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 subsumption(
% 0.75/1.60 clause( 360, [] )
% 0.75/1.60 , clause( 407, [] )
% 0.75/1.60 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 end.
% 0.75/1.60
% 0.75/1.60 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.60
% 0.75/1.60 Memory use:
% 0.75/1.60
% 0.75/1.60 space for terms: 10285
% 0.75/1.60 space for clauses: 16542
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 clauses generated: 3121
% 0.75/1.60 clauses kept: 361
% 0.75/1.60 clauses selected: 125
% 0.75/1.60 clauses deleted: 0
% 0.75/1.60 clauses inuse deleted: 0
% 0.75/1.60
% 0.75/1.60 subsentry: 3125
% 0.75/1.60 literals s-matched: 1894
% 0.75/1.60 literals matched: 1694
% 0.75/1.60 full subsumption: 1320
% 0.75/1.60
% 0.75/1.60 checksum: 510577586
% 0.75/1.60
% 0.75/1.60
% 0.75/1.60 Bliksem ended
%------------------------------------------------------------------------------