TSTP Solution File: SYN015-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN015-1 : 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 02:46:47 EDT 2022
% Result : Unsatisfiable 67.01s 67.39s
% Output : Refutation 67.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jul 11 23:53:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 67.01/67.39 *** allocated 10000 integers for termspace/termends
% 67.01/67.39 *** allocated 10000 integers for clauses
% 67.01/67.39 *** allocated 10000 integers for justifications
% 67.01/67.39 Bliksem 1.12
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Automatic Strategy Selection
% 67.01/67.39
% 67.01/67.39 Clauses:
% 67.01/67.39 [
% 67.01/67.39 [ ~( =( m, n ) ) ],
% 67.01/67.39 [ =( X, j ), ~( =( X, k ) ), element( X, j ) ],
% 67.01/67.39 [ =( X, j ), =( X, k ), ~( element( X, j ) ) ],
% 67.01/67.39 [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ],
% 67.01/67.39 [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ],
% 67.01/67.39 [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ],
% 67.01/67.39 [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ],
% 67.01/67.39 [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element( X, Y ) )
% 67.01/67.39 , ~( element( Y, X ) ) ],
% 67.01/67.39 [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ],
% 67.01/67.39 [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ],
% 67.01/67.39 [ =( X, n ), element( X, n ), element( X, g( X ) ) ],
% 67.01/67.39 [ =( X, n ), element( X, n ), element( g( X ), X ) ],
% 67.01/67.39 [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~( element( X,
% 67.01/67.39 Y ) ), ~( element( Y, X ) ) ],
% 67.01/67.39 [ =( X, k ), ~( =( X, m ) ), element( X, k ) ],
% 67.01/67.39 [ =( X, k ), ~( =( X, n ) ), element( X, k ) ],
% 67.01/67.39 [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ]
% 67.01/67.39 ] .
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 percentage equality = 0.566038, percentage horn = 0.187500
% 67.01/67.39 This is a problem with some equality
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Options Used:
% 67.01/67.39
% 67.01/67.39 useres = 1
% 67.01/67.39 useparamod = 1
% 67.01/67.39 useeqrefl = 1
% 67.01/67.39 useeqfact = 1
% 67.01/67.39 usefactor = 1
% 67.01/67.39 usesimpsplitting = 0
% 67.01/67.39 usesimpdemod = 5
% 67.01/67.39 usesimpres = 3
% 67.01/67.39
% 67.01/67.39 resimpinuse = 1000
% 67.01/67.39 resimpclauses = 20000
% 67.01/67.39 substype = eqrewr
% 67.01/67.39 backwardsubs = 1
% 67.01/67.39 selectoldest = 5
% 67.01/67.39
% 67.01/67.39 litorderings [0] = split
% 67.01/67.39 litorderings [1] = extend the termordering, first sorting on arguments
% 67.01/67.39
% 67.01/67.39 termordering = kbo
% 67.01/67.39
% 67.01/67.39 litapriori = 0
% 67.01/67.39 termapriori = 1
% 67.01/67.39 litaposteriori = 0
% 67.01/67.39 termaposteriori = 0
% 67.01/67.39 demodaposteriori = 0
% 67.01/67.39 ordereqreflfact = 0
% 67.01/67.39
% 67.01/67.39 litselect = negord
% 67.01/67.39
% 67.01/67.39 maxweight = 15
% 67.01/67.39 maxdepth = 30000
% 67.01/67.39 maxlength = 115
% 67.01/67.39 maxnrvars = 195
% 67.01/67.39 excuselevel = 1
% 67.01/67.39 increasemaxweight = 1
% 67.01/67.39
% 67.01/67.39 maxselected = 10000000
% 67.01/67.39 maxnrclauses = 10000000
% 67.01/67.39
% 67.01/67.39 showgenerated = 0
% 67.01/67.39 showkept = 0
% 67.01/67.39 showselected = 0
% 67.01/67.39 showdeleted = 0
% 67.01/67.39 showresimp = 1
% 67.01/67.39 showstatus = 2000
% 67.01/67.39
% 67.01/67.39 prologoutput = 1
% 67.01/67.39 nrgoals = 5000000
% 67.01/67.39 totalproof = 1
% 67.01/67.39
% 67.01/67.39 Symbols occurring in the translation:
% 67.01/67.39
% 67.01/67.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 67.01/67.39 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 67.01/67.39 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 67.01/67.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 67.01/67.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 67.01/67.39 m [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 67.01/67.39 n [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 67.01/67.39 j [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 67.01/67.39 k [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 67.01/67.39 element [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 67.01/67.39 f [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 67.01/67.39 g [47, 1] (w:1, o:22, a:1, s:1, b:0).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Starting Search:
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 21219
% 67.01/67.39 Kept: 2000
% 67.01/67.39 Inuse: 87
% 67.01/67.39 Deleted: 33
% 67.01/67.39 Deletedinuse: 22
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 71892
% 67.01/67.39 Kept: 4008
% 67.01/67.39 Inuse: 222
% 67.01/67.39 Deleted: 77
% 67.01/67.39 Deletedinuse: 36
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 127464
% 67.01/67.39 Kept: 6008
% 67.01/67.39 Inuse: 371
% 67.01/67.39 Deleted: 207
% 67.01/67.39 Deletedinuse: 128
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 195970
% 67.01/67.39 Kept: 8009
% 67.01/67.39 Inuse: 517
% 67.01/67.39 Deleted: 297
% 67.01/67.39 Deletedinuse: 179
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 276583
% 67.01/67.39 Kept: 10011
% 67.01/67.39 Inuse: 641
% 67.01/67.39 Deleted: 582
% 67.01/67.39 Deletedinuse: 387
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 333953
% 67.01/67.39 Kept: 12015
% 67.01/67.39 Inuse: 744
% 67.01/67.39 Deleted: 968
% 67.01/67.39 Deletedinuse: 542
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 440025
% 67.01/67.39 Kept: 14044
% 67.01/67.39 Inuse: 909
% 67.01/67.39 Deleted: 1013
% 67.01/67.39 Deletedinuse: 544
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Intermediate Status:
% 67.01/67.39 Generated: 717709
% 67.01/67.39 Kept: 16143
% 67.01/67.39 Inuse: 1138
% 67.01/67.39 Deleted: 2045
% 67.01/67.39 Deletedinuse: 605
% 67.01/67.39
% 67.01/67.39 Resimplifying inuse:
% 67.01/67.39 Done
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 Bliksems!, er is een bewijs:
% 67.01/67.39 % SZS status Unsatisfiable
% 67.01/67.39 % SZS output start Refutation
% 67.01/67.39
% 67.01/67.39 clause( 0, [ ~( =( n, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 5, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 6, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 7, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element(
% 67.01/67.39 X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 8, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 9, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 11, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 13, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 14, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16, [ =( k, j ), element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 17, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 18, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 22, [ ~( =( m, X ) ), =( X, m ), element( X, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 26, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 27, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), ~( element(
% 67.01/67.39 n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 28, [ =( k, m ), element( m, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 29, [ =( k, n ), element( n, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 37, [ =( n, m ), element( n, m ), element( m, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 38, [ element( m, n ), element( n, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 44, [ =( j, n ), element( n, j ), element( n, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 45, [ =( X, j ), ~( =( X, k ) ), ~( =( k, j ) ), element( j, j ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 54, [ =( k, j ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 56, [ =( j, m ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 57, [ ~( =( k, j ) ), =( n, m ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 58, [ =( j, m ), element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 59, [ =( X, m ), ~( =( k, X ) ), ~( =( X, k ) ), element( X, j ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 62, [ element( n, j ), element( n, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 63, [ element( n, m ), element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 65, [ ~( =( k, j ) ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 69, [ =( Y, X ), =( Y, k ), ~( element( Y, X ) ), =( X, k ), ~(
% 67.01/67.39 element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 73, [ element( k, j ), =( n, m ), element( m, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 76, [ =( X, m ), ~( element( X, m ) ), element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 78, [ =( X, m ), ~( element( X, m ) ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 83, [ =( k, X ), element( k, X ), =( X, k ), ~( element( X, j ) ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 95, [ ~( =( j, m ) ), =( k, n ), ~( element( n, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 107, [ element( k, X ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 129, [ ~( =( k, X ) ), =( Y, X ), ~( element( Y, X ) ), =( X, k ),
% 67.01/67.39 ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 137, [ ~( =( k, X ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 139, [ element( k, j ), element( m, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 141, [ element( m, m ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 184, [ ~( element( n, m ) ), ~( =( f( n ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 186, [ ~( =( f( n ), m ) ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 202, [ ~( =( k, j ) ), ~( =( f( m ), m ) ), =( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 214, [ ~( =( k, j ) ), ~( =( f( m ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 284, [ ~( element( n, m ) ), ~( =( f( n ), n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 495, [ ~( element( n, m ) ), element( f( n ), n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 498, [ element( f( n ), n ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 499, [ element( f( n ), n ), element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 521, [ ~( =( k, j ) ), element( f( m ), m ), =( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 533, [ element( k, j ), element( f( m ), m ), =( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 550, [ =( f( X ), m ), element( f( X ), m ), =( X, m ), =( f( X ),
% 67.01/67.39 X ), ~( element( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 636, [ element( f( m ), m ), element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 638, [ element( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 801, [ =( X, n ), element( X, n ), ~( =( j, X ) ), =( g( X ), k ),
% 67.01/67.39 ~( element( g( X ), j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 815, [ ~( =( X, m ) ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 816, [ element( m, n ), ~( =( g( m ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 818, [ =( j, n ), element( j, n ), =( g( j ), k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 924, [ ~( =( X, m ) ), element( X, n ), element( X, g( X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 925, [ element( m, n ), element( m, g( m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 951, [ element( f( m ), m ), ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 953, [ ~( =( k, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 956, [ ~( =( j, n ) ), element( k, n ), element( k, g( k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 957, [ ~( =( j, n ) ), element( k, n ), ~( =( g( k ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 958, [ ~( =( j, n ) ), element( k, n ), ~( =( g( k ), n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 964, [ ~( =( X, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 965, [ ~( =( j, m ) ), element( m, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 977, [ ~( =( X, m ) ), element( m, k ), element( X, j ), ~( =( X, m
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 979, [ ~( =( X, m ) ), element( m, k ), element( X, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 989, [ ~( =( j, n ) ), element( k, n ), element( g( k ), k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1049, [ ~( =( X, m ) ), element( X, n ), element( g( X ), X ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1050, [ element( m, n ), element( g( m ), m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1228, [ ~( =( X, j ) ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1247, [ ~( =( X, Y ) ), =( Y, X ), ~( element( Y, j ) ), ~( =( X, m
% 67.01/67.39 ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1269, [ ~( =( m, X ) ), =( X, m ), element( m, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1323, [ ~( =( m, X ) ), element( m, k ), element( n, m ), element(
% 67.01/67.39 X, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1324, [ element( m, k ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1361, [ ~( =( X, j ) ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1412, [ ~( =( j, n ) ), element( j, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1498, [ =( Y, k ), =( Y, X ), =( Y, n ), ~( element( Y, k ) ), =( X
% 67.01/67.39 , k ), =( X, n ), ~( element( X, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1535, [ element( m, n ), =( g( m ), k ), =( g( m ), m ), ~( element(
% 67.01/67.39 g( m ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1578, [ =( X, m ), ~( element( X, m ) ), ~( =( k, X ) ), =( f( X )
% 67.01/67.39 , m ), =( f( X ), n ), ~( element( f( X ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1587, [ =( X, m ), ~( element( X, m ) ), =( f( X ), k ), =( f( X )
% 67.01/67.39 , n ), ~( element( f( X ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1592, [ =( X, k ), =( X, j ), =( X, n ), ~( element( X, k ) ), =( k
% 67.01/67.39 , m ), ~( element( m, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1599, [ =( Y, j ), ~( =( Y, X ) ), element( Y, j ), =( X, m ), =( X
% 67.01/67.39 , n ), ~( element( X, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1605, [ ~( =( X, m ) ), =( X, k ), =( X, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1606, [ ~( =( k, m ) ), ~( =( X, m ) ), =( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1607, [ ~( =( k, m ) ), =( k, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1613, [ ~( =( X, j ) ), =( j, m ), ~( =( m, X ) ), element( m, j )
% 67.01/67.39 , =( X, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1615, [ ~( =( X, j ) ), =( j, n ), ~( =( n, X ) ), element( n, j )
% 67.01/67.39 , =( X, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1616, [ =( j, n ), ~( =( j, n ) ), =( j, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1617, [ ~( =( j, n ) ), =( j, n ), =( n, m ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1618, [ =( j, n ), ~( =( j, n ) ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1621, [ =( j, m ), ~( =( j, m ) ), =( j, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1638, [ ~( =( m, X ) ), =( X, k ), =( X, j ), =( X, n ), ~( element(
% 67.01/67.39 m, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1639, [ ~( =( k, n ) ), ~( =( m, X ) ), =( X, j ), =( X, n ), ~(
% 67.01/67.39 element( m, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1647, [ ~( =( k, n ) ), =( j, m ), =( n, m ), ~( element( m, j ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1677, [ =( k, m ), ~( element( k, m ) ), =( f( k ), n ), =( k, m )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1678, [ =( k, m ), ~( element( k, m ) ), =( f( k ), n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1682, [ ~( =( k, m ) ), element( m, n ), ~( element( g( m ), m ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1695, [ ~( =( n, X ) ), =( X, k ), =( X, n ), =( k, n ), ~( element(
% 67.01/67.39 n, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1697, [ ~( =( n, X ) ), =( X, k ), =( X, n ), ~( element( n, k ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1699, [ ~( =( k, n ) ), ~( =( n, X ) ), =( X, k ), ~( element( n, k
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1700, [ ~( =( k, n ) ), =( k, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1716, [ ~( =( j, n ) ), ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1724, [ element( m, n ), ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1726, [ ~( =( j, n ) ), ~( =( X, n ) ), ~( =( X, n ) ), element( X
% 67.01/67.39 , k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1728, [ ~( =( j, n ) ), ~( =( X, n ) ), =( X, j ), ~( element( X, j
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1731, [ ~( =( j, n ) ), =( j, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1732, [ ~( =( j, n ) ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1795, [ ~( =( j, n ) ), ~( =( k, m ) ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1804, [ ~( =( j, m ) ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1807, [ element( m, j ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1813, [ =( n, m ), element( n, m ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1823, [ ~( =( X, m ) ), ~( =( k, m ) ), element( X, j ), ~( =( X, m
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 1824, [ ~( =( X, m ) ), ~( =( k, m ) ), element( X, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2006, [ ~( =( k, X ) ), ~( =( X, m ) ), =( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2013, [ element( k, m ), ~( =( j, m ) ), =( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2018, [ ~( element( n, X ) ), ~( =( f( n ), X ) ), ~( =( X, m ) ),
% 67.01/67.39 =( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2019, [ =( X, m ), =( X, k ), ~( element( X, m ) ), ~( =( j, m ) )
% 67.01/67.39 , =( k, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2022, [ ~( =( X, j ) ), =( X, m ), ~( element( X, m ) ), ~( =( j, m
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2023, [ =( j, m ), ~( =( j, m ) ), ~( element( n, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2024, [ ~( element( n, f( n ) ) ), ~( =( f( n ), m ) ), =( f( n ),
% 67.01/67.39 k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2036, [ =( k, m ), ~( element( k, m ) ), element( k, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2042, [ ~( =( k, Y ) ), ~( =( Y, X ) ), =( Y, k ), ~( =( X, m ) ),
% 67.01/67.39 =( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2053, [ ~( =( j, m ) ), ~( =( X, m ) ), ~( =( k, X ) ), ~( =( X, m
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2066, [ ~( =( Y, j ) ), ~( =( Y, m ) ), element( Y, X ), ~( =( k, X
% 67.01/67.39 ) ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2067, [ ~( =( X, Y ) ), ~( =( Y, m ) ), =( Y, X ), ~( =( X, m ) ),
% 67.01/67.39 element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2070, [ ~( =( k, m ) ), element( m, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2073, [ element( X, j ), ~( =( k, X ) ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2078, [ ~( =( X, Y ) ), ~( =( Y, m ) ), =( Y, X ), ~( =( k, X ) ),
% 67.01/67.39 ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2079, [ ~( =( k, m ) ), ~( =( m, X ) ), =( X, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2094, [ ~( =( X, m ) ), =( m, X ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2096, [ ~( =( X, m ) ), =( m, X ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2097, [ element( k, m ), ~( =( j, m ) ), ~( =( j, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2098, [ element( k, m ), ~( =( j, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2099, [ ~( =( j, m ) ), ~( =( X, m ) ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2102, [ ~( =( X, Y ) ), ~( =( k, X ) ), ~( =( Y, m ) ), =( Y, k ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 2104, [ ~( =( X, m ) ), ~( =( k, X ) ), =( k, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2171, [ ~( =( X, j ) ), ~( =( m, X ) ), =( X, m ), element( X, m )
% 67.01/67.39 , ~( element( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2174, [ ~( =( j, m ) ), =( j, m ), ~( element( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2206, [ ~( =( X, m ) ), ~( =( n, X ) ), ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2227, [ ~( =( X, m ) ), ~( =( n, X ) ), element( n, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2240, [ ~( =( k, n ) ), =( j, m ), ~( element( m, j ) ), ~( =( m, X
% 67.01/67.39 ) ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2244, [ ~( =( k, n ) ), =( j, m ), ~( element( m, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2254, [ ~( =( k, m ) ), element( n, m ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2264, [ ~( =( k, m ) ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2266, [ ~( =( k, m ) ), element( f( n ), n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2268, [ ~( =( k, m ) ), ~( =( f( n ), n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2339, [ ~( =( k, m ) ), ~( =( j, n ) ), =( f( n ), m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2449, [ element( X, k ), element( n, X ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2574, [ ~( =( j, m ) ), =( j, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2582, [ ~( =( k, X ) ), element( n, X ), ~( =( X, m ) ), ~( =( k, X
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2585, [ ~( =( k, X ) ), element( X, n ), ~( =( X, m ) ), ~( =( k, X
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2592, [ ~( element( n, X ) ), ~( =( f( n ), X ) ), ~( =( X, m ) ),
% 67.01/67.39 ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2595, [ ~( element( n, f( n ) ) ), ~( =( f( n ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2597, [ ~( =( k, X ) ), element( X, n ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2598, [ ~( =( k, X ) ), element( n, X ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2607, [ ~( =( X, k ) ), element( X, m ), ~( =( j, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2616, [ ~( =( X, k ) ), ~( =( j, m ) ), element( f( X ), X ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2618, [ ~( =( X, k ) ), ~( =( j, m ) ), element( X, f( X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2620, [ ~( =( X, k ) ), ~( =( j, m ) ), ~( =( f( X ), X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2622, [ ~( =( X, k ) ), ~( =( j, m ) ), ~( =( f( X ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2635, [ ~( =( j, m ) ), ~( =( f( k ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2636, [ ~( =( j, m ) ), element( k, f( k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2637, [ ~( =( j, m ) ), element( f( k ), k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2638, [ ~( =( j, m ) ), =( f( k ), k ), =( f( k ), m ), =( f( k ),
% 67.01/67.39 n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2653, [ ~( =( k, n ) ), ~( =( j, m ) ), =( f( n ), n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2654, [ ~( =( j, m ) ), ~( =( k, n ) ), element( n, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2668, [ ~( =( j, m ) ), ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2694, [ ~( =( j, m ) ), ~( element( n, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2697, [ ~( =( X, m ) ), ~( =( k, n ) ), ~( element( X, j ) ), =( X
% 67.01/67.39 , n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2699, [ ~( =( k, n ) ), ~( element( m, j ) ), =( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2780, [ ~( =( m, X ) ), element( n, X ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2807, [ ~( =( k, Y ) ), element( Y, n ), ~( =( Y, X ) ), ~( =( X, m
% 67.01/67.39 ) ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2813, [ element( k, n ), ~( =( k, X ) ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2847, [ ~( =( X, m ) ), ~( =( m, Y ) ), =( Y, m ), =( X, m ), =( X
% 67.01/67.39 , n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2854, [ ~( =( f( n ), X ) ), ~( =( k, m ) ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2862, [ ~( =( m, X ) ), =( X, m ), =( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2872, [ ~( =( m, X ) ), =( X, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2873, [ ~( =( X, Y ) ), =( Y, X ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2893, [ element( k, X ), ~( =( j, X ) ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2897, [ ~( =( X, Y ) ), =( Y, X ), =( X, k ), =( X, n ), ~( element(
% 67.01/67.39 X, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2931, [ ~( =( n, X ) ), ~( =( Y, X ) ), =( X, Y ), =( Y, k ), ~(
% 67.01/67.39 element( Y, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2932, [ ~( =( X, n ) ), =( n, X ), =( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2935, [ ~( =( X, k ) ), ~( =( n, X ) ), ~( =( Y, X ) ), =( Y, k ),
% 67.01/67.39 ~( element( Y, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2939, [ ~( =( X, k ) ), ~( =( n, X ) ), =( k, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 2957, [ ~( =( X, m ) ), ~( =( k, n ) ), ~( =( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3017, [ ~( =( X, m ) ), ~( =( X, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3023, [ ~( =( Y, X ) ), ~( =( Y, n ) ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3147, [ ~( =( Y, X ) ), ~( =( k, n ) ), ~( =( Y, j ) ), =( X, n ),
% 67.01/67.39 ~( element( X, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3153, [ ~( =( k, n ) ), ~( element( m, j ) ), ~( =( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3158, [ ~( =( k, n ) ), ~( element( m, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3159, [ ~( =( X, j ) ), ~( =( k, n ) ), =( j, n ), ~( element( j, n
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3160, [ ~( =( k, n ) ), ~( element( j, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3187, [ ~( =( X, n ) ), ~( element( m, j ) ), ~( =( X, n ) ),
% 67.01/67.39 element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3204, [ ~( =( X, n ) ), ~( element( m, j ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3217, [ ~( =( Y, n ) ), element( Y, X ), ~( =( k, X ) ), ~( =( k, m
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3229, [ element( n, X ), ~( =( k, X ) ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3343, [ ~( =( X, k ) ), ~( =( n, X ) ), ~( =( j, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3349, [ ~( =( n, X ) ), =( X, n ), ~( element( X, j ) ), ~( =( Y, k
% 67.01/67.39 ) ), ~( =( n, Y ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3356, [ ~( =( n, X ) ), =( X, n ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3401, [ ~( =( k, m ) ), ~( =( j, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3421, [ ~( =( X, m ) ), ~( =( j, n ) ), ~( element( X, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3422, [ ~( =( k, m ) ), ~( =( X, n ) ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3423, [ ~( =( k, m ) ), ~( element( n, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3424, [ ~( =( j, n ) ), ~( element( m, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3502, [ ~( =( k, m ) ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3683, [ ~( =( n, X ) ), =( X, n ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3742, [ element( k, X ), ~( =( k, Y ) ), ~( =( Y, m ) ), ~( =( n, X
% 67.01/67.39 ) ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3759, [ element( k, X ), ~( =( n, X ) ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3760, [ element( k, n ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3985, [ ~( =( k, X ) ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3993, [ ~( =( X, Y ) ), ~( =( Y, X ) ), element( Y, j ), ~( =( k, X
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3994, [ element( X, j ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 3998, [ ~( =( k, X ) ), =( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4008, [ ~( =( X, Y ) ), =( Y, X ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4030, [ ~( =( n, X ) ), =( X, n ), ~( =( Y, k ) ), ~( =( n, Y ) ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 4041, [ ~( =( k, m ) ), ~( =( f( n ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4098, [ =( X, m ), element( m, X ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4114, [ ~( =( n, X ) ), =( X, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4116, [ ~( =( X, Y ) ), =( Y, X ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4122, [ ~( =( j, X ) ), ~( element( m, X ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4132, [ ~( =( k, X ) ), ~( element( j, X ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4139, [ ~( =( j, X ) ), ~( =( Y, X ) ), element( Y, k ), ~( =( n, X
% 67.01/67.39 ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4176, [ ~( =( X, j ) ), element( X, k ), ~( =( j, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4177, [ element( j, k ), ~( =( j, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4179, [ ~( element( j, k ) ), ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4180, [ ~( element( m, j ) ), ~( =( j, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4217, [ ~( element( j, k ) ), ~( =( X, k ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4225, [ ~( =( k, m ) ), ~( =( k, m ) ), =( f( n ), n ), ~( element(
% 67.01/67.39 f( n ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4232, [ ~( =( k, m ) ), ~( element( f( n ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4238, [ ~( element( f( n ), m ) ), ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4266, [ ~( element( f( X ), m ) ), ~( =( k, m ) ), ~( =( n, X ) ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 4267, [ ~( element( f( n ), m ) ), ~( =( X, m ) ), element( X, k )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4657, [ ~( element( j, X ) ), ~( =( Y, X ) ), ~( =( n, Y ) ), ~(
% 67.01/67.39 =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4661, [ ~( element( j, X ) ), ~( =( k, X ) ), ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4665, [ ~( =( k, n ) ), =( j, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4695, [ element( n, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4696, [ ~( =( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4700, [ element( k, n ), element( g( k ), k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4701, [ element( k, n ), element( k, g( k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4702, [ element( k, n ), ~( =( g( k ), k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4703, [ element( k, n ), ~( =( g( k ), n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4704, [ ~( =( X, n ) ), =( j, n ), =( X, j ), ~( element( X, j ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4705, [ =( j, n ), ~( element( n, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4714, [ element( n, X ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4715, [ element( X, k ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4723, [ ~( =( X, k ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4729, [ ~( =( X, n ) ), =( k, m ), element( k, m ), ~( element( k,
% 67.01/67.39 X ) ), ~( element( X, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4730, [ =( k, m ), element( k, m ), ~( element( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4749, [ element( X, Y ), ~( =( k, Y ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4760, [ ~( =( n, X ) ), element( X, m ), =( k, m ), =( k, X ), ~(
% 67.01/67.39 element( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4769, [ element( n, m ), =( k, n ), ~( element( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4773, [ ~( element( n, j ) ), ~( element( m, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4789, [ ~( element( X, j ) ), ~( element( m, X ) ), ~( =( n, X ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4910, [ element( k, n ), ~( =( X, k ) ), ~( =( X, g( k ) ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 4988, [ element( n, m ), ~( element( k, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 5010, [ element( X, m ), ~( element( k, X ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 5969, [ ~( element( k, m ) ), element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 5977, [ ~( =( j, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 6020, [ ~( =( X, m ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 6021, [ =( k, m ), ~( element( m, j ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 6040, [ ~( element( m, j ) ), ~( element( f( n ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10399, [ element( k, m ), ~( element( k, n ) ), element( m, n ) ]
% 67.01/67.39 )
% 67.01/67.39 .
% 67.01/67.39 clause( 10463, [ ~( element( k, m ) ), element( k, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10469, [ ~( element( k, X ) ), element( k, n ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10515, [ element( k, n ), ~( =( g( k ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10557, [ element( k, n ), ~( =( X, m ) ), ~( =( X, g( k ) ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10670, [ element( k, n ), ~( =( X, g( k ) ) ), =( X, n ), ~(
% 67.01/67.39 element( X, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10676, [ element( k, n ), =( g( k ), n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10677, [ element( k, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10679, [ element( k, m ), element( m, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10680, [ =( k, m ), element( k, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10682, [ element( n, m ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10693, [ element( X, n ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10891, [ element( X, m ), element( m, n ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 10916, [ =( X, m ), element( X, m ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12072, [ =( X, m ), ~( =( k, X ) ), =( n, m ), ~( element( m, n ) )
% 67.01/67.39 , =( X, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12105, [ =( k, m ), ~( element( m, n ) ), =( k, n ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12328, [ =( k, m ), ~( element( m, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12330, [ ~( element( m, n ) ), ~( element( f( n ), m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12371, [ =( k, X ), ~( element( X, n ) ), ~( =( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12379, [ element( m, j ), ~( element( m, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12391, [ element( m, j ), ~( element( m, X ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12509, [ ~( element( m, X ) ), ~( element( f( X ), m ) ), ~( =( n,
% 67.01/67.39 X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12510, [ ~( element( X, n ) ), ~( element( f( n ), X ) ), ~( =( m,
% 67.01/67.39 X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 12763, [ ~( element( m, X ) ), ~( =( n, X ) ), ~( element( f( n ),
% 67.01/67.39 m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15677, [ element( f( X ), m ), =( X, m ), ~( element( X, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15708, [ =( n, m ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15775, [ =( n, m ), ~( element( m, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15776, [ ~( element( X, m ) ), ~( element( m, X ) ), ~( =( n, X ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15780, [ =( n, m ), ~( element( m, X ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 15844, [ =( X, m ), ~( =( k, m ) ), ~( =( n, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16036, [ ~( =( k, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16039, [ ~( element( m, n ) ), ~( element( m, m ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16042, [ element( m, k ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16102, [ ~( element( m, n ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16133, [ element( m, X ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16169, [ element( X, m ), ~( =( k, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16459, [ ~( =( k, X ) ), =( X, n ), =( n, m ), =( m, X ), ~(
% 67.01/67.39 element( m, X ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16477, [ =( k, n ), =( k, m ), ~( element( m, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16529, [ =( k, m ), =( n, m ), ~( element( m, k ) ), ~( =( n, X ) )
% 67.01/67.39 ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16538, [ =( n, m ), ~( element( m, k ) ) ] )
% 67.01/67.39 .
% 67.01/67.39 clause( 16556, [] )
% 67.01/67.39 .
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 % SZS output end Refutation
% 67.01/67.39 found a proof!
% 67.01/67.39
% 67.01/67.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 67.01/67.39
% 67.01/67.39 initialclauses(
% 67.01/67.39 [ clause( 16558, [ ~( =( m, n ) ) ] )
% 67.01/67.39 , clause( 16559, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 , clause( 16560, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 16561, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , clause( 16562, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , clause( 16563, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , clause( 16564, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ]
% 67.01/67.39 )
% 67.01/67.39 , clause( 16565, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 16566, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 67.01/67.39 , clause( 16567, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 67.01/67.39 , clause( 16568, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 67.01/67.39 , clause( 16569, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 67.01/67.39 , clause( 16570, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 16571, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.39 , clause( 16572, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.39 , clause( 16573, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ]
% 67.01/67.39 )
% 67.01/67.39 ] ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 16574, [ ~( =( n, m ) ) ] )
% 67.01/67.39 , clause( 16558, [ ~( =( m, n ) ) ] )
% 67.01/67.39 , 0, substitution( 0, [] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 0, [ ~( =( n, m ) ) ] )
% 67.01/67.39 , clause( 16574, [ ~( =( n, m ) ) ] )
% 67.01/67.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 1, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 , clause( 16559, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 2, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 16560, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 3, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ] )
% 67.01/67.39 , clause( 16561, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 4, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ] )
% 67.01/67.39 , clause( 16562, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 5, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ] )
% 67.01/67.39 , clause( 16563, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 6, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ] )
% 67.01/67.39 , clause( 16564, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ]
% 67.01/67.39 )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 7, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element(
% 67.01/67.39 X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 16565, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 67.01/67.39 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 67.01/67.39 ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 8, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 67.01/67.39 , clause( 16566, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 9, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 67.01/67.39 , clause( 16567, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 10, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 67.01/67.39 , clause( 16568, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 11, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 67.01/67.39 , clause( 16569, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 12, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 16570, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 67.01/67.39 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 67.01/67.39 ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 13, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.39 , clause( 16571, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 14, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.39 , clause( 16572, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 15, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ] )
% 67.01/67.39 , clause( 16573, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ]
% 67.01/67.39 )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17080, [ =( j, X ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 , clause( 1, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 , 0, substitution( 0, [ :=( X, X )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqrefl(
% 67.01/67.39 clause( 17083, [ =( j, k ), element( k, j ) ] )
% 67.01/67.39 , clause( 17080, [ =( j, X ), ~( =( X, k ) ), element( X, j ) ] )
% 67.01/67.39 , 1, substitution( 0, [ :=( X, k )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17084, [ =( k, j ), element( k, j ) ] )
% 67.01/67.39 , clause( 17083, [ =( j, k ), element( k, j ) ] )
% 67.01/67.39 , 0, substitution( 0, [] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 16, [ =( k, j ), element( k, j ) ] )
% 67.01/67.39 , clause( 17084, [ =( k, j ), element( k, j ) ] )
% 67.01/67.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 67.01/67.39 ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqfact(
% 67.01/67.39 clause( 17100, [ ~( =( j, k ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 2, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17105, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 17100, [ ~( =( j, k ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , 0, substitution( 0, [ :=( X, X )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 17, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 17105, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqfact(
% 67.01/67.39 clause( 17124, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 2, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 67.01/67.39 , 1, 0, substitution( 0, [ :=( X, X )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 18, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 67.01/67.39 , clause( 17124, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 67.01/67.39 1 ), ==>( 2, 2 )] ) ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17131, [ =( m, X ), element( X, m ), =( Y, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 7, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element(
% 67.01/67.39 X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqfact(
% 67.01/67.39 clause( 17141, [ ~( =( m, X ) ), =( m, X ), element( X, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 17131, [ =( m, X ), element( X, m ), =( Y, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17151, [ =( X, m ), ~( =( m, X ) ), element( X, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 17141, [ ~( =( m, X ) ), =( m, X ), element( X, m ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 22, [ ~( =( m, X ) ), =( X, m ), element( X, m ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 17151, [ =( X, m ), ~( =( m, X ) ), element( X, m ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 67.01/67.39 ), ==>( 1, 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 67.01/67.39 ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17177, [ =( n, X ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 12, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 67.01/67.39 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqfact(
% 67.01/67.39 clause( 17187, [ ~( =( n, X ) ), =( n, X ), ~( element( X, n ) ), =( Y, X )
% 67.01/67.39 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 17177, [ =( n, X ), ~( element( X, n ) ), =( Y, n ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17197, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X )
% 67.01/67.39 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 17187, [ ~( =( n, X ) ), =( n, X ), ~( element( X, n ) ), =( Y, X
% 67.01/67.39 ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 subsumption(
% 67.01/67.39 clause( 26, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), =( Y, X ),
% 67.01/67.39 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 17197, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X
% 67.01/67.39 ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 67.01/67.39 ), ==>( 1, 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 67.01/67.39 ).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17231, [ =( n, X ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X )
% 67.01/67.39 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , clause( 26, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), =( Y, X )
% 67.01/67.39 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqfact(
% 67.01/67.39 clause( 17247, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ), =( n
% 67.01/67.39 , X ), ~( element( X, n ) ), ~( element( n, X ) ) ] )
% 67.01/67.39 , clause( 17231, [ =( n, X ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X
% 67.01/67.39 ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 67.01/67.39 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, n )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 factor(
% 67.01/67.39 clause( 17249, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ), =( n
% 67.01/67.39 , X ), ~( element( n, X ) ) ] )
% 67.01/67.39 , clause( 17247, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ),
% 67.01/67.39 =( n, X ), ~( element( X, n ) ), ~( element( n, X ) ) ] )
% 67.01/67.39 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqrefl(
% 67.01/67.39 clause( 17258, [ ~( =( n, X ) ), ~( element( X, n ) ), =( n, X ), ~(
% 67.01/67.39 element( n, X ) ) ] )
% 67.01/67.39 , clause( 17249, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ),
% 67.01/67.39 =( n, X ), ~( element( n, X ) ) ] )
% 67.01/67.39 , 0, substitution( 0, [ :=( X, X )] )).
% 67.01/67.39
% 67.01/67.39
% 67.01/67.39 eqswap(
% 67.01/67.39 clause( 17261, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), ~(
% 67.01/67.40 element( n, X ) ) ] )
% 67.01/67.40 , clause( 17258, [ ~( =( n, X ) ), ~( element( X, n ) ), =( n, X ), ~(
% 67.01/67.40 element( n, X ) ) ] )
% 67.01/67.40 , 2, substitution( 0, [ :=( X, X )] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 subsumption(
% 67.01/67.40 clause( 27, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), ~( element(
% 67.01/67.40 n, X ) ) ] )
% 67.01/67.40 , clause( 17261, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), ~(
% 67.01/67.40 element( n, X ) ) ] )
% 67.01/67.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 67.01/67.40 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqswap(
% 67.01/67.40 clause( 17263, [ =( k, X ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.40 , clause( 13, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.40 , 0, substitution( 0, [ :=( X, X )] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqrefl(
% 67.01/67.40 clause( 17266, [ =( k, m ), element( m, k ) ] )
% 67.01/67.40 , clause( 17263, [ =( k, X ), ~( =( X, m ) ), element( X, k ) ] )
% 67.01/67.40 , 1, substitution( 0, [ :=( X, m )] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 subsumption(
% 67.01/67.40 clause( 28, [ =( k, m ), element( m, k ) ] )
% 67.01/67.40 , clause( 17266, [ =( k, m ), element( m, k ) ] )
% 67.01/67.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 67.01/67.40 ).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqswap(
% 67.01/67.40 clause( 17268, [ =( k, X ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.40 , clause( 14, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.40 , 0, substitution( 0, [ :=( X, X )] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqrefl(
% 67.01/67.40 clause( 17271, [ =( k, n ), element( n, k ) ] )
% 67.01/67.40 , clause( 17268, [ =( k, X ), ~( =( X, n ) ), element( X, k ) ] )
% 67.01/67.40 , 1, substitution( 0, [ :=( X, n )] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 subsumption(
% 67.01/67.40 clause( 29, [ =( k, n ), element( n, k ) ] )
% 67.01/67.40 , clause( 17271, [ =( k, n ), element( n, k ) ] )
% 67.01/67.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 67.01/67.40 ).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqswap(
% 67.01/67.40 clause( 17274, [ =( n, k ), element( n, k ) ] )
% 67.01/67.40 , clause( 29, [ =( k, n ), element( n, k ) ] )
% 67.01/67.40 , 0, substitution( 0, [] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 paramod(
% 67.01/67.40 clause( 17304, [ element( n, m ), element( m, k ), =( n, k ) ] )
% 67.01/67.40 , clause( 28, [ =( k, m ), element( m, k ) ] )
% 67.01/67.40 , 0, clause( 17274, [ =( n, k ), element( n, k ) ] )
% 67.01/67.40 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 paramod(
% 67.01/67.40 clause( 17306, [ =( n, m ), element( m, k ), element( n, m ), element( m, k
% 67.01/67.40 ) ] )
% 67.01/67.40 , clause( 28, [ =( k, m ), element( m, k ) ] )
% 67.01/67.40 , 0, clause( 17304, [ element( n, m ), element( m, k ), =( n, k ) ] )
% 67.01/67.40 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 factor(
% 67.01/67.40 clause( 17330, [ =( n, m ), element( m, k ), element( n, m ) ] )
% 67.01/67.40 , clause( 17306, [ =( n, m ), element( m, k ), element( n, m ), element( m
% 67.01/67.40 , k ) ] )
% 67.01/67.40 , 1, 3, substitution( 0, [] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 subsumption(
% 67.01/67.40 clause( 37, [ =( n, m ), element( n, m ), element( m, k ) ] )
% 67.01/67.40 , clause( 17330, [ =( n, m ), element( m, k ), element( n, m ) ] )
% 67.01/67.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 67.01/67.40 , 1 )] ) ).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqswap(
% 67.01/67.40 clause( 17332, [ =( m, k ), element( m, k ) ] )
% 67.01/67.40 , clause( 28, [ =( k, m ), element( m, k ) ] )
% 67.01/67.40 , 0, substitution( 0, [] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 eqswap(
% 67.01/67.40 clause( 17333, [ ~( =( m, n ) ) ] )
% 67.01/67.40 , clause( 0, [ ~( =( n, m ) ) ] )
% 67.01/67.40 , 0, substitution( 0, [] )).
% 67.01/67.40
% 67.01/67.40
% 67.01/67.40 paramod(
% 67.01/67.40 clause( 17407, [ element( m, n ), element( n, k ), =( m, k ) ] )
% 67.01/67.40 , clause( 29, [ =( k, n ), element( n, k ) ] )
% 67.01/67.40 , 0, clause( 17332, [ =( m, k ), element( m, k ) ] )
% 67.01/67.40 , 1, 2, substitution( 0, [] ), substitution( 1,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------