%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:52:01 EDT 2022
% Result : Unsatisfiable 21.87s 22.24s
% Output : Refutation 21.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 02:30:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 21.87/22.24 *** allocated 10000 integers for termspace/termends
% 21.87/22.24 *** allocated 10000 integers for clauses
% 21.87/22.24 *** allocated 10000 integers for justifications
% 21.87/22.24 Bliksem 1.12
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Automatic Strategy Selection
% 21.87/22.24
% 21.87/22.24 Clauses:
% 21.87/22.24 [
% 21.87/22.24 [ ~( member( X, union( Y ) ) ), member( X, 'unionE_sk1'( X, Y ) ) ],
% 21.87/22.24 [ ~( member( X, union( Y ) ) ), member( 'unionE_sk1'( X, Y ), Y ) ],
% 21.87/22.24 [ member( 'subsetI_sk1'( X, Y ), X ), subset( X, Y ) ],
% 21.87/22.24 [ ~( member( 'subsetI_sk1'( X, Y ), Y ) ), subset( X, Y ) ],
% 21.87/22.24 [ ~( member( X, cons( Y, Z ) ) ), =( X, Y ), member( X, Z ) ],
% 21.87/22.24 [ ~( member( X, Y ) ), member( X, un( Y, Z ) ) ],
% 21.87/22.24 [ ~( member( X, Y ) ), member( X, un( Z, Y ) ) ],
% 21.87/22.24 [ ~( member( X, eptset ) ) ],
% 21.87/22.24 [ ~( member( pair( X, Y ), Z ) ), member( pair( Y, X ), converse( Z ) )
% 21.87/22.24 ],
% 21.87/22.24 [ ~( member( pair( X, Y ), converse( Z ) ) ), member( pair( Y, X ), Z )
% 21.87/22.24 ],
% 21.87/22.24 [ ~( member( X, converse( Y ) ) ), =( X, pair( 'converseE_sk2'( X ),
% 21.87/22.24 'converseE_sk1'( X ) ) ) ],
% 21.87/22.24 [ ~( member( X, converse( Y ) ) ), member( pair( 'converse_sk1'( X ),
% 21.87/22.24 'converse_sk2'( X ) ), Y ) ],
% 21.87/22.24 [ member( sk2, union( cons( a, cons( b, eptset ) ) ) ) ],
% 21.87/22.24 [ ~( member( sk2, un( a, b ) ) ) ]
% 21.87/22.24 ] .
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 percentage equality = 0.076923, percentage horn = 0.857143
% 21.87/22.24 This is a problem with some equality
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Options Used:
% 21.87/22.24
% 21.87/22.24 useres = 1
% 21.87/22.24 useparamod = 1
% 21.87/22.24 useeqrefl = 1
% 21.87/22.24 useeqfact = 1
% 21.87/22.24 usefactor = 1
% 21.87/22.24 usesimpsplitting = 0
% 21.87/22.24 usesimpdemod = 5
% 21.87/22.24 usesimpres = 3
% 21.87/22.24
% 21.87/22.24 resimpinuse = 1000
% 21.87/22.24 resimpclauses = 20000
% 21.87/22.24 substype = eqrewr
% 21.87/22.24 backwardsubs = 1
% 21.87/22.24 selectoldest = 5
% 21.87/22.24
% 21.87/22.24 litorderings [0] = split
% 21.87/22.24 litorderings [1] = extend the termordering, first sorting on arguments
% 21.87/22.24
% 21.87/22.24 termordering = kbo
% 21.87/22.24
% 21.87/22.24 litapriori = 0
% 21.87/22.24 termapriori = 1
% 21.87/22.24 litaposteriori = 0
% 21.87/22.24 termaposteriori = 0
% 21.87/22.24 demodaposteriori = 0
% 21.87/22.24 ordereqreflfact = 0
% 21.87/22.24
% 21.87/22.24 litselect = negord
% 21.87/22.24
% 21.87/22.24 maxweight = 15
% 21.87/22.24 maxdepth = 30000
% 21.87/22.24 maxlength = 115
% 21.87/22.24 maxnrvars = 195
% 21.87/22.24 excuselevel = 1
% 21.87/22.24 increasemaxweight = 1
% 21.87/22.24
% 21.87/22.24 maxselected = 10000000
% 21.87/22.24 maxnrclauses = 10000000
% 21.87/22.24
% 21.87/22.24 showgenerated = 0
% 21.87/22.24 showkept = 0
% 21.87/22.24 showselected = 0
% 21.87/22.24 showdeleted = 0
% 21.87/22.24 showresimp = 1
% 21.87/22.24 showstatus = 2000
% 21.87/22.24
% 21.87/22.24 prologoutput = 1
% 21.87/22.24 nrgoals = 5000000
% 21.87/22.24 totalproof = 1
% 21.87/22.24
% 21.87/22.24 Symbols occurring in the translation:
% 21.87/22.24
% 21.87/22.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 21.87/22.24 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 21.87/22.24 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 21.87/22.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 21.87/22.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 21.87/22.24 union [41, 1] (w:1, o:27, a:1, s:1, b:0),
% 21.87/22.24 member [42, 2] (w:1, o:58, a:1, s:1, b:0),
% 21.87/22.24 'unionE_sk1' [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 21.87/22.24 'subsetI_sk1' [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 21.87/22.24 subset [47, 2] (w:1, o:61, a:1, s:1, b:0),
% 21.87/22.24 cons [49, 2] (w:1, o:62, a:1, s:1, b:0),
% 21.87/22.24 un [51, 2] (w:1, o:63, a:1, s:1, b:0),
% 21.87/22.24 eptset [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 21.87/22.24 pair [54, 2] (w:1, o:64, a:1, s:1, b:0),
% 21.87/22.24 converse [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 21.87/22.24 'converseE_sk2' [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 21.87/22.24 'converseE_sk1' [59, 1] (w:1, o:29, a:1, s:1, b:0),
% 21.87/22.24 'converse_sk1' [60, 1] (w:1, o:31, a:1, s:1, b:0),
% 21.87/22.24 'converse_sk2' [61, 1] (w:1, o:32, a:1, s:1, b:0),
% 21.87/22.24 sk2 [62, 0] (w:1, o:5, a:1, s:1, b:0),
% 21.87/22.24 a [63, 0] (w:1, o:20, a:1, s:1, b:0),
% 21.87/22.24 b [64, 0] (w:1, o:21, a:1, s:1, b:0).
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Starting Search:
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 3123
% 21.87/22.24 Kept: 2127
% 21.87/22.24 Inuse: 117
% 21.87/22.24 Deleted: 4
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 8749
% 21.87/22.24 Kept: 4481
% 21.87/22.24 Inuse: 135
% 21.87/22.24 Deleted: 4
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 19089
% 21.87/22.24 Kept: 6576
% 21.87/22.24 Inuse: 171
% 21.87/22.24 Deleted: 8
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 29272
% 21.87/22.24 Kept: 8611
% 21.87/22.24 Inuse: 206
% 21.87/22.24 Deleted: 8
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 36397
% 21.87/22.24 Kept: 10682
% 21.87/22.24 Inuse: 241
% 21.87/22.24 Deleted: 8
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 44033
% 21.87/22.24 Kept: 13707
% 21.87/22.24 Inuse: 264
% 21.87/22.24 Deleted: 8
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 56418
% 21.87/22.24 Kept: 15707
% 21.87/22.24 Inuse: 304
% 21.87/22.24 Deleted: 10
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 66027
% 21.87/22.24 Kept: 17710
% 21.87/22.24 Inuse: 336
% 21.87/22.24 Deleted: 11
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 75800
% 21.87/22.24 Kept: 19738
% 21.87/22.24 Inuse: 366
% 21.87/22.24 Deleted: 11
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying clauses:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 85850
% 21.87/22.24 Kept: 21775
% 21.87/22.24 Inuse: 396
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 94592
% 21.87/22.24 Kept: 23865
% 21.87/22.24 Inuse: 423
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 103422
% 21.87/22.24 Kept: 25875
% 21.87/22.24 Inuse: 452
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 119162
% 21.87/22.24 Kept: 27892
% 21.87/22.24 Inuse: 483
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 140404
% 21.87/22.24 Kept: 29917
% 21.87/22.24 Inuse: 524
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 174872
% 21.87/22.24 Kept: 31931
% 21.87/22.24 Inuse: 589
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Intermediate Status:
% 21.87/22.24 Generated: 206062
% 21.87/22.24 Kept: 34708
% 21.87/22.24 Inuse: 644
% 21.87/22.24 Deleted: 330
% 21.87/22.24 Deletedinuse: 3
% 21.87/22.24
% 21.87/22.24 Resimplifying inuse:
% 21.87/22.24 Done
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 Bliksems!, er is een bewijs:
% 21.87/22.24 % SZS status Unsatisfiable
% 21.87/22.24 % SZS output start Refutation
% 21.87/22.24
% 21.87/22.24 clause( 0, [ ~( member( X, union( Y ) ) ), member( X, 'unionE_sk1'( X, Y )
% 21.87/22.24 ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 1, [ ~( member( X, union( Y ) ) ), member( 'unionE_sk1'( X, Y ), Y
% 21.87/22.24 ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 4, [ ~( member( X, cons( Y, Z ) ) ), =( X, Y ), member( X, Z ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 5, [ ~( member( X, Y ) ), member( X, un( Y, Z ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 6, [ ~( member( X, Y ) ), member( X, un( Z, Y ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 7, [ ~( member( X, eptset ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 12, [ member( sk2, union( cons( a, cons( b, eptset ) ) ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 13, [ ~( member( sk2, un( a, b ) ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 15, [ ~( member( sk2, b ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 19, [ ~( member( sk2, a ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 52, [ ~( member( X, cons( Y, eptset ) ) ), =( X, Y ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 82, [ ~( member( sk2, X ) ), ~( member( X, cons( a, Y ) ) ), member(
% 21.87/22.24 X, Y ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 248, [ ~( member( sk2, X ) ), ~( member( X, cons( b, eptset ) ) ) ]
% 21.87/22.24 )
% 21.87/22.24 .
% 21.87/22.24 clause( 513, [ member( 'unionE_sk1'( sk2, cons( a, cons( b, eptset ) ) ),
% 21.87/22.24 cons( a, cons( b, eptset ) ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 514, [ member( sk2, 'unionE_sk1'( sk2, cons( a, cons( b, eptset ) )
% 21.87/22.24 ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 16691, [ ~( member( sk2, X ) ), ~( member( X, cons( a, cons( b,
% 21.87/22.24 eptset ) ) ) ) ] )
% 21.87/22.24 .
% 21.87/22.24 clause( 35621, [] )
% 21.87/22.24 .
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 % SZS output end Refutation
% 21.87/22.24 found a proof!
% 21.87/22.24
% 21.87/22.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 21.87/22.24
% 21.87/22.24 initialclauses(
% 21.87/22.24 [ clause( 35623, [ ~( member( X, union( Y ) ) ), member( X, 'unionE_sk1'( X
% 21.87/22.24 , Y ) ) ] )
% 21.87/22.24 , clause( 35624, [ ~( member( X, union( Y ) ) ), member( 'unionE_sk1'( X, Y
% 21.87/22.24 ), Y ) ] )
% 21.87/22.24 , clause( 35625, [ member( 'subsetI_sk1'( X, Y ), X ), subset( X, Y ) ] )
% 21.87/22.24 , clause( 35626, [ ~( member( 'subsetI_sk1'( X, Y ), Y ) ), subset( X, Y )
% 21.87/22.24 ] )
% 21.87/22.24 , clause( 35627, [ ~( member( X, cons( Y, Z ) ) ), =( X, Y ), member( X, Z
% 21.87/22.24 ) ] )
% 21.87/22.24 , clause( 35628, [ ~( member( X, Y ) ), member( X, un( Y, Z ) ) ] )
% 21.87/22.24 , clause( 35629, [ ~( member( X, Y ) ), member( X, un( Z, Y ) ) ] )
% 21.87/22.24 , clause( 35630, [ ~( member( X, eptset ) ) ] )
% 21.87/22.24 , clause( 35631, [ ~( member( pair( X, Y ), Z ) ), member( pair( Y, X ),
% 21.87/22.24 converse( Z ) ) ] )
% 21.87/22.24 , clause( 35632, [ ~( member( pair( X, Y ), converse( Z ) ) ), member( pair(
% 21.87/22.24 Y, X ), Z ) ] )
% 21.87/22.24 , clause( 35633, [ ~( member( X, converse( Y ) ) ), =( X, pair(
% 21.87/22.24 'converseE_sk2'( X ), 'converseE_sk1'( X ) ) ) ] )
% 21.87/22.24 , clause( 35634, [ ~( member( X, converse( Y ) ) ), member( pair(
% 21.87/22.24 'converse_sk1'( X ), 'converse_sk2'( X ) ), Y ) ] )
% 21.87/22.24 , clause( 35635, [ member( sk2, union( cons( a, cons( b, eptset ) ) ) ) ]
% 21.87/22.24 )
% 21.87/22.24 , clause( 35636, [ ~( member( sk2, un( a, b ) ) ) ] )
% 21.87/22.24 ] ).
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 subsumption(
% 21.87/22.24 clause( 0, [ ~( member( X, union( Y ) ) ), member( X, 'unionE_sk1'( X, Y )
% 21.87/22.24 ) ] )
% 21.87/22.24 , clause( 35623, [ ~( member( X, union( Y ) ) ), member( X, 'unionE_sk1'( X
% 21.87/22.24 , Y ) ) ] )
% 21.87/22.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 21.87/22.24 ), ==>( 1, 1 )] ) ).
% 21.87/22.24
% 21.87/22.24
% 21.87/22.24 subsumption(
% 21.87/22.24 clause( 1, [ ~( member( X, union( Y ) ) ), member( 'unionE_sk1'( X, Y ), Y
% 21.87/22.24 ) ] )
% 21.87/22.24 , clause( 35624, [ ~( member( X, union( Y ) ) ), member( 'unionE_sk1'( X, Y
% 21.87/22.24 ), Y ) ] )
% 21.87/22.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 21.87/22.25 ), ==>( 1, 1 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 4, [ ~( member( X, cons( Y, Z ) ) ), =( X, Y ), member( X, Z ) ] )
% 21.87/22.25 , clause( 35627, [ ~( member( X, cons( Y, Z ) ) ), =( X, Y ), member( X, Z
% 21.87/22.25 ) ] )
% 21.87/22.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 21.87/22.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 5, [ ~( member( X, Y ) ), member( X, un( Y, Z ) ) ] )
% 21.87/22.25 , clause( 35628, [ ~( member( X, Y ) ), member( X, un( Y, Z ) ) ] )
% 21.87/22.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 21.87/22.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 6, [ ~( member( X, Y ) ), member( X, un( Z, Y ) ) ] )
% 21.87/22.25 , clause( 35629, [ ~( member( X, Y ) ), member( X, un( Z, Y ) ) ] )
% 21.87/22.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 21.87/22.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 7, [ ~( member( X, eptset ) ) ] )
% 21.87/22.25 , clause( 35630, [ ~( member( X, eptset ) ) ] )
% 21.87/22.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 12, [ member( sk2, union( cons( a, cons( b, eptset ) ) ) ) ] )
% 21.87/22.25 , clause( 35635, [ member( sk2, union( cons( a, cons( b, eptset ) ) ) ) ]
% 21.87/22.25 )
% 21.87/22.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 13, [ ~( member( sk2, un( a, b ) ) ) ] )
% 21.87/22.25 , clause( 35636, [ ~( member( sk2, un( a, b ) ) ) ] )
% 21.87/22.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 resolution(
% 21.87/22.25 clause( 35645, [ ~( member( sk2, b ) ) ] )
% 21.87/22.25 , clause( 13, [ ~( member( sk2, un( a, b ) ) ) ] )
% 21.87/22.25 , 0, clause( 6, [ ~( member( X, Y ) ), member( X, un( Z, Y ) ) ] )
% 21.87/22.25 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 ), :=( Y, b ),
% 21.87/22.25 :=( Z, a )] )).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 15, [ ~( member( sk2, b ) ) ] )
% 21.87/22.25 , clause( 35645, [ ~( member( sk2, b ) ) ] )
% 21.87/22.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 resolution(
% 21.87/22.25 clause( 35646, [ ~( member( sk2, a ) ) ] )
% 21.87/22.25 , clause( 13, [ ~( member( sk2, un( a, b ) ) ) ] )
% 21.87/22.25 , 0, clause( 5, [ ~( member( X, Y ) ), member( X, un( Y, Z ) ) ] )
% 21.87/22.25 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 ), :=( Y, a ),
% 21.87/22.25 :=( Z, b )] )).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 19, [ ~( member( sk2, a ) ) ] )
% 21.87/22.25 , clause( 35646, [ ~( member( sk2, a ) ) ] )
% 21.87/22.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 eqswap(
% 21.87/22.25 clause( 35647, [ =( Y, X ), ~( member( X, cons( Y, Z ) ) ), member( X, Z )
% 21.87/22.25 ] )
% 21.87/22.25 , clause( 4, [ ~( member( X, cons( Y, Z ) ) ), =( X, Y ), member( X, Z ) ]
% 21.87/22.25 )
% 21.87/22.25 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 resolution(
% 21.87/22.25 clause( 35648, [ =( Y, X ), ~( member( X, cons( Y, eptset ) ) ) ] )
% 21.87/22.25 , clause( 7, [ ~( member( X, eptset ) ) ] )
% 21.87/22.25 , 0, clause( 35647, [ =( Y, X ), ~( member( X, cons( Y, Z ) ) ), member( X
% 21.87/22.25 , Z ) ] )
% 21.87/22.25 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 21.87/22.25 , Y ), :=( Z, eptset )] )).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 eqswap(
% 21.87/22.25 clause( 35649, [ =( Y, X ), ~( member( Y, cons( X, eptset ) ) ) ] )
% 21.87/22.25 , clause( 35648, [ =( Y, X ), ~( member( X, cons( Y, eptset ) ) ) ] )
% 21.87/22.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 21.87/22.25
% 21.87/22.25
% 21.87/22.25 subsumption(
% 21.87/22.25 clause( 52, [ ~( member(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------