TSTP Solution File: SYN014-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN014-1 : 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 02:46:46 EDT 2022
% Result : Unsatisfiable 24.70s 25.12s
% Output : Refutation 24.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN014-1 : 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 : Mon Jul 11 14:52:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 24.70/25.12 *** allocated 10000 integers for termspace/termends
% 24.70/25.12 *** allocated 10000 integers for clauses
% 24.70/25.12 *** allocated 10000 integers for justifications
% 24.70/25.12 Bliksem 1.12
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Automatic Strategy Selection
% 24.70/25.12
% 24.70/25.12 Clauses:
% 24.70/25.12 [
% 24.70/25.12 [ ~( =( m, n ) ) ],
% 24.70/25.12 [ =( n, k ), =( m, k ) ],
% 24.70/25.12 [ =( X, j ), ~( =( X, k ) ), element( X, j ) ],
% 24.70/25.12 [ =( X, j ), =( X, k ), ~( element( X, j ) ) ],
% 24.70/25.12 [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ],
% 24.70/25.12 [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ],
% 24.70/25.12 [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ],
% 24.70/25.12 [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ],
% 24.70/25.12 [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element( X, Y ) )
% 24.70/25.12 , ~( element( Y, X ) ) ],
% 24.70/25.12 [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ],
% 24.70/25.12 [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ],
% 24.70/25.12 [ =( X, n ), element( X, n ), element( X, g( X ) ) ],
% 24.70/25.12 [ =( X, n ), element( X, n ), element( g( X ), X ) ],
% 24.70/25.12 [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~( element( X,
% 24.70/25.12 Y ) ), ~( element( Y, X ) ) ],
% 24.70/25.12 [ =( X, k ), ~( =( X, m ) ), element( X, k ) ],
% 24.70/25.12 [ =( X, k ), ~( =( X, n ) ), element( X, k ) ],
% 24.70/25.12 [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ]
% 24.70/25.12 ] .
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 percentage equality = 0.581818, percentage horn = 0.176471
% 24.70/25.12 This is a problem with some equality
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Options Used:
% 24.70/25.12
% 24.70/25.12 useres = 1
% 24.70/25.12 useparamod = 1
% 24.70/25.12 useeqrefl = 1
% 24.70/25.12 useeqfact = 1
% 24.70/25.12 usefactor = 1
% 24.70/25.12 usesimpsplitting = 0
% 24.70/25.12 usesimpdemod = 5
% 24.70/25.12 usesimpres = 3
% 24.70/25.12
% 24.70/25.12 resimpinuse = 1000
% 24.70/25.12 resimpclauses = 20000
% 24.70/25.12 substype = eqrewr
% 24.70/25.12 backwardsubs = 1
% 24.70/25.12 selectoldest = 5
% 24.70/25.12
% 24.70/25.12 litorderings [0] = split
% 24.70/25.12 litorderings [1] = extend the termordering, first sorting on arguments
% 24.70/25.12
% 24.70/25.12 termordering = kbo
% 24.70/25.12
% 24.70/25.12 litapriori = 0
% 24.70/25.12 termapriori = 1
% 24.70/25.12 litaposteriori = 0
% 24.70/25.12 termaposteriori = 0
% 24.70/25.12 demodaposteriori = 0
% 24.70/25.12 ordereqreflfact = 0
% 24.70/25.12
% 24.70/25.12 litselect = negord
% 24.70/25.12
% 24.70/25.12 maxweight = 15
% 24.70/25.12 maxdepth = 30000
% 24.70/25.12 maxlength = 115
% 24.70/25.12 maxnrvars = 195
% 24.70/25.12 excuselevel = 1
% 24.70/25.12 increasemaxweight = 1
% 24.70/25.12
% 24.70/25.12 maxselected = 10000000
% 24.70/25.12 maxnrclauses = 10000000
% 24.70/25.12
% 24.70/25.12 showgenerated = 0
% 24.70/25.12 showkept = 0
% 24.70/25.12 showselected = 0
% 24.70/25.12 showdeleted = 0
% 24.70/25.12 showresimp = 1
% 24.70/25.12 showstatus = 2000
% 24.70/25.12
% 24.70/25.12 prologoutput = 1
% 24.70/25.12 nrgoals = 5000000
% 24.70/25.12 totalproof = 1
% 24.70/25.12
% 24.70/25.12 Symbols occurring in the translation:
% 24.70/25.12
% 24.70/25.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 24.70/25.12 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 24.70/25.12 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 24.70/25.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.70/25.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.70/25.12 m [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 24.70/25.12 n [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 24.70/25.12 k [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 24.70/25.12 j [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 24.70/25.12 element [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 24.70/25.12 f [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 24.70/25.12 g [47, 1] (w:1, o:22, a:1, s:1, b:0).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Starting Search:
% 24.70/25.12
% 24.70/25.12 Resimplifying inuse:
% 24.70/25.12 Done
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Intermediate Status:
% 24.70/25.12 Generated: 21714
% 24.70/25.12 Kept: 2012
% 24.70/25.12 Inuse: 86
% 24.70/25.12 Deleted: 12
% 24.70/25.12 Deletedinuse: 6
% 24.70/25.12
% 24.70/25.12 Resimplifying inuse:
% 24.70/25.12 Done
% 24.70/25.12
% 24.70/25.12 Resimplifying inuse:
% 24.70/25.12 Done
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Intermediate Status:
% 24.70/25.12 Generated: 75153
% 24.70/25.12 Kept: 4016
% 24.70/25.12 Inuse: 237
% 24.70/25.12 Deleted: 198
% 24.70/25.12 Deletedinuse: 118
% 24.70/25.12
% 24.70/25.12 Resimplifying inuse:
% 24.70/25.12 Done
% 24.70/25.12
% 24.70/25.12 Resimplifying inuse:
% 24.70/25.12 Done
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Intermediate Status:
% 24.70/25.12 Generated: 543493
% 24.70/25.12 Kept: 6019
% 24.70/25.12 Inuse: 621
% 24.70/25.12 Deleted: 1010
% 24.70/25.12 Deletedinuse: 151
% 24.70/25.12
% 24.70/25.12 Resimplifying inuse:
% 24.70/25.12 Done
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 Bliksems!, er is een bewijs:
% 24.70/25.12 % SZS status Unsatisfiable
% 24.70/25.12 % SZS output start Refutation
% 24.70/25.12
% 24.70/25.12 clause( 0, [ ~( =( n, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1, [ =( k, n ), =( k, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 4, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 5, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 6, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 7, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 8, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element(
% 24.70/25.12 X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 9, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 10, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 11, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 12, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 13, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 24.70/25.12 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 14, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 15, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 16, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 17, [ =( k, j ), element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 18, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 19, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 27, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), =( Y, X ),
% 24.70/25.12 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 28, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), ~( element(
% 24.70/25.12 n, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 29, [ =( k, m ), element( m, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 30, [ =( k, n ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 33, [ ~( =( k, m ) ), =( X, k ), =( X, n ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 34, [ ~( =( k, n ) ), =( X, k ), =( X, m ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 35, [ ~( =( k, m ) ), ~( =( k, n ) ), =( X, m ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 38, [ =( n, m ), element( n, m ), element( m, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 39, [ =( j, m ), element( m, n ), element( m, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 40, [ =( j, n ), element( n, m ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 43, [ =( j, m ), element( m, j ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 44, [ =( X, j ), ~( =( X, k ) ), ~( =( k, j ) ), element( j, j ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 54, [ =( k, j ), ~( =( k, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 59, [ =( Y, X ), ~( =( Y, n ) ), element( Y, X ), ~( =( X, n ) ),
% 24.70/25.12 element( X, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 60, [ =( X, j ), ~( =( X, n ) ), ~( =( k, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 68, [ ~( =( k, m ) ), element( n, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 71, [ =( j, n ), ~( =( k, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 73, [ =( j, n ), element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 77, [ =( j, n ), ~( =( j, n ) ), =( k, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 78, [ =( j, n ), ~( =( j, m ) ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 82, [ element( m, j ), =( k, n ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 83, [ element( m, j ), element( m, n ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 84, [ =( Y, X ), =( Y, k ), ~( element( Y, X ) ), =( X, k ), ~(
% 24.70/25.12 element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 87, [ =( X, n ), ~( element( X, n ) ), element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 89, [ =( X, n ), ~( element( X, n ) ), ~( =( k, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 100, [ =( X, j ), =( X, m ), ~( element( X, j ) ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 101, [ =( k, X ), element( k, X ), =( X, k ), ~( element( X, j ) )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 106, [ ~( =( j, m ) ), =( k, n ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 110, [ element( k, X ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 112, [ ~( =( j, m ) ), =( k, n ), =( X, n ), ~( element( X, n ) ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 113, [ ~( =( j, m ) ), =( k, n ), ~( element( m, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 154, [ ~( =( k, X ) ), =( Y, X ), ~( element( Y, X ) ), =( X, k ),
% 24.70/25.12 ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 162, [ ~( =( k, X ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 163, [ element( m, n ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 164, [ ~( =( X, m ) ), element( n, X ), =( X, j ), ~( element( X, j
% 24.70/25.12 ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 167, [ element( n, m ), =( j, m ), ~( element( m, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 197, [ =( n, m ), element( n, m ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 203, [ ~( element( n, n ) ), ~( =( j, m ) ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 210, [ element( m, X ), ~( element( X, n ) ), element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 213, [ ~( =( X, m ) ), ~( element( X, n ) ), element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 214, [ ~( element( m, n ) ), element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 219, [ =( n, m ), ~( =( f( n ), m ) ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 244, [ ~( element( n, m ) ), ~( =( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 247, [ element( n, m ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 248, [ =( k, m ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 253, [ element( k, j ), ~( element( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 270, [ element( m, j ), element( m, n ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 272, [ element( n, j ), =( n, m ), ~( =( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 274, [ element( n, m ), element( n, X ), ~( element( X, j ) ), =( X
% 24.70/25.12 , n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 277, [ element( m, n ), element( m, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 278, [ element( n, j ), element( m, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 280, [ element( n, m ), ~( element( m, j ) ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 289, [ element( m, n ), ~( =( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 316, [ =( X, m ), =( X, k ), ~( element( X, m ) ), ~( element( j, m
% 24.70/25.12 ) ), ~( =( f( j ), j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 320, [ =( X, m ), ~( element( X, m ) ), ~( =( j, X ) ), =( f( X ),
% 24.70/25.12 k ), ~( element( f( X ), j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 334, [ ~( element( n, m ) ), ~( =( f( n ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 336, [ =( j, m ), ~( element( j, m ) ), =( f( j ), k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 340, [ =( n, m ), =( k, n ), ~( =( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 346, [ element( j, n ), ~( =( j, m ) ), ~( =( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 357, [ element( m, j ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 382, [ element( k, j ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 383, [ =( j, n ), ~( =( j, m ) ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 384, [ element( n, n ), ~( =( k, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 435, [ ~( element( n, m ) ), element( n, f( n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 443, [ element( k, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 445, [ element( X, j ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 449, [ ~( =( j, m ) ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 459, [ ~( =( j, m ) ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 508, [ ~( element( n, m ) ), element( f( n ), n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 522, [ ~( =( X, m ) ), =( k, n ), element( X, j ), ~( =( X, m ) ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 524, [ ~( =( X, m ) ), =( k, n ), element( X, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 527, [ element( f( n ), n ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 556, [ =( f( X ), m ), element( f( X ), m ), =( X, m ), =( f( X ),
% 24.70/25.12 X ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 645, [ element( n, f( n ) ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 668, [ element( n, j ), ~( =( f( n ), m ) ), element( f( m ), j ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 762, [ ~( =( f( n ), n ) ), element( n, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 764, [ ~( =( f( n ), n ) ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 839, [ =( X, n ), element( X, n ), ~( =( j, X ) ), =( g( X ), k ),
% 24.70/25.12 ~( element( g( X ), j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 847, [ element( m, n ), ~( =( g( m ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 852, [ =( j, n ), element( j, n ), =( g( j ), k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 880, [ element( n, j ), ~( =( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 885, [ ~( =( f( n ), m ) ), =( k, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 911, [ =( k, n ), =( f( n ), j ), ~( element( f( n ), j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 996, [ element( m, n ), element( m, g( m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1144, [ element( m, n ), element( g( m ), m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1177, [ element( n, j ), ~( =( X, m ) ), element( X, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1317, [ element( X, k ), ~( =( X, n ) ), ~( =( j, n ) ), element( j
% 24.70/25.12 , k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1328, [ element( j, k ), ~( =( j, n ) ), ~( =( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1329, [ element( j, k ), ~( =( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1423, [ element( X, j ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1442, [ =( j, n ), ~( =( X, j ) ), ~( =( X, m ) ), element( X, k )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1454, [ ~( =( j, m ) ), element( j, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1489, [ element( X, j ), ~( =( X, m ) ), element( X, n ), ~( =( Y,
% 24.70/25.12 m ) ), element( Y, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1516, [ element( X, j ), ~( =( X, m ) ), element( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1528, [ ~( =( X, m ) ), element( X, n ), =( X, j ), =( X, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1539, [ ~( =( k, j ) ), ~( =( X, m ) ), =( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1540, [ ~( =( k, j ) ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1542, [ =( j, m ), =( j, n ), ~( =( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1587, [ ~( element( n, m ) ), =( f( n ), k ), =( f( n ), n ), ~(
% 24.70/25.12 element( f( n ), k ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1591, [ element( m, n ), =( g( m ), m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1602, [ ~( =( f( n ), n ) ), =( j, n ), ~( element( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1604, [ element( m, n ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1610, [ ~( element( n, m ) ), =( f( n ), k ), ~( element( f( n ), k
% 24.70/25.12 ) ), =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1637, [ element( n, m ), =( j, n ), ~( element( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1745, [ ~( element( n, m ) ), =( f( n ), k ), ~( element( f( n ), k
% 24.70/25.12 ) ), ~( =( k, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1780, [ element( m, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1833, [ ~( =( k, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1838, [ ~( =( j, n ) ), ~( =( f( n ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1844, [ ~( =( j, n ) ), element( f( n ), n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1845, [ ~( =( j, n ) ), ~( =( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1846, [ ~( =( j, n ) ), element( m, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1850, [ ~( =( j, n ) ), =( k, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1851, [ ~( =( j, n ) ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1879, [ =( k, m ), element( j, n ), element( j, g( j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1894, [ ~( element( m, j ) ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1901, [ ~( element( m, j ) ), ~( =( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1902, [ ~( element( m, j ) ), ~( =( f( n ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 1984, [ ~( =( j, n ) ), ~( element( f( n ), j ) ), =( f( n ), m ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 2036, [ ~( =( j, n ) ), =( j, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2043, [ ~( =( j, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2052, [ element( j, n ), element( g( j ), j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2055, [ element( j, n ), ~( =( g( j ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2056, [ ~( =( X, n ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2058, [ =( k, n ), ~( element( n, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2071, [ element( j, n ), =( g( j ), k ), =( g( n ), n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2121, [ =( g( j ), k ), element( j, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2124, [ ~( element( n, j ) ), element( j, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2160, [ element( j, n ), ~( =( X, m ) ), element( X, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2162, [ element( j, n ), ~( =( f( n ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2167, [ element( j, n ), =( k, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2169, [ element( j, n ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2175, [ element( j, k ), element( n, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2186, [ ~( =( m, X ) ), =( X, m ), element( j, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2224, [ element( j, k ), element( X, k ), element( X, n ), element(
% 24.70/25.12 X, g( X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2231, [ element( j, n ), element( j, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2298, [ element( n, m ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2304, [ ~( =( f( n ), n ) ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2314, [ ~( =( f( n ), m ) ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2319, [ element( f( n ), n ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2367, [ element( j, n ), element( j, X ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2428, [ =( j, n ), element( j, n ), =( j, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2444, [ ~( =( k, m ) ), =( k, j ), ~( element( j, k ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2461, [ =( k, n ), ~( element( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2465, [ element( j, n ), =( j, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2473, [ element( j, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2507, [ ~( =( k, n ) ), =( k, j ), =( j, m ), element( n, k ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2519, [ ~( element( n, n ) ), ~( =( k, n ) ), =( f( n ), k ), ~(
% 24.70/25.12 element( f( n ), k ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2520, [ ~( element( n, n ) ), =( k, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2534, [ ~( =( k, n ) ), =( j, m ), ~( element( j, k ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2564, [ =( X, m ), element( X, m ), =( k, m ), ~( =( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2566, [ =( n, m ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2582, [ ~( element( n, j ) ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2584, [ ~( =( j, m ) ), ~( element( n, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2640, [ =( j, m ), ~( =( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2662, [ ~( =( j, m ) ), element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2691, [ element( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2692, [ ~( =( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2693, [ ~( =( f( n ), n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2695, [ element( f( n ), n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2718, [ ~( =( k, n ) ), =( f( n ), k ), ~( element( f( n ), k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 .
% 24.70/25.12 clause( 2752, [ =( k, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2762, [ =( n, m ), ~( element( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2767, [ =( n, m ), ~( element( n, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2768, [ ~( =( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2771, [ element( X, j ), ~( =( X, n ) ), element( X, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2773, [ ~( =( X, m ) ), element( X, j ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2775, [ ~( =( m, X ) ), =( X, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2777, [ =( X, m ), ~( =( X, n ) ), element( X, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2778, [ =( j, n ), ~( element( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2825, [ ~( =( Y, X ) ), element( Y, j ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2826, [ element( n, X ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2829, [ ~( =( f( n ), X ) ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2830, [ element( X, n ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2843, [ ~( element( n, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2844, [ element( n, Y ), ~( =( X, Y ) ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2856, [ ~( element( X, j ) ), =( X, m ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2866, [ ~( element( n, X ) ), ~( element( X, j ) ), =( X, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2868, [ element( Y, X ), ~( =( m, Y ) ), =( X, m ), ~( element( X,
% 24.70/25.12 m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2879, [ element( m, X ), =( X, m ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2880, [ ~( element( j, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2881, [ ~( element( j, X ) ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2890, [ ~( element( j, Y ) ), ~( =( X, Y ) ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2896, [ ~( element( f( n ), m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2914, [ ~( element( f( X ), m ) ), =( X, m ), ~( element( X, m ) )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2948, [ ~( =( X, n ) ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2967, [ ~( =( X, j ) ), ~( =( m, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 2990, [ element( X, j ), =( X, n ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3007, [ element( j, X ), element( X, j ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3020, [ =( X, m ), ~( =( n, X ) ), =( X, n ), ~( element( X, n ) )
% 24.70/25.12 , =( m, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3050, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3071, [ element( X, m ), ~( =( n, X ) ), ~( element( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3101, [ =( X, m ), ~( element( X, m ) ), element( j, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3119, [ ~( =( Y, j ) ), ~( =( X, Y ) ), ~( element( X, j ) ), ~(
% 24.70/25.12 element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3129, [ ~( element( j, X ) ), ~( element( X, j ) ), ~( element( X,
% 24.70/25.12 m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3138, [ ~( =( X, j ) ), ~( element( X, j ) ), ~( element( X, m ) )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3158, [ ~( =( Y, j ) ), ~( =( X, Y ) ), ~( element( X, m ) ),
% 24.70/25.12 element( j, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3172, [ element( n, X ), ~( element( X, m ) ), element( j, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3173, [ element( X, n ), ~( element( X, m ) ), element( j, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3176, [ ~( =( X, j ) ), ~( element( X, m ) ), element( j, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3195, [ ~( =( X, j ) ), ~( element( X, m ) ), =( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3211, [ element( Y, m ), ~( =( X, Y ) ), ~( element( Y, X ) ), ~(
% 24.70/25.12 =( X, j ) ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3231, [ ~( =( X, j ) ), ~( element( j, X ) ), ~( element( X, m ) )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3244, [ ~( =( X, j ) ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3266, [ ~( element( j, X ) ), ~( element( X, m ) ), =( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3271, [ ~( element( X, m ) ), =( X, n ), element( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3272, [ ~( element( X, m ) ), =( X, n ), element( n, X ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3301, [ ~( element( X, m ) ), =( X, n ), ~( =( n, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3364, [ =( Y, X ), ~( =( Y, n ) ), element( Y, X ), ~( =( X, n ) )
% 24.70/25.12 , element( X, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3365, [ =( n, X ), element( n, X ), ~( =( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3393, [ ~( element( X, j ) ), element( n, X ), ~( =( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3399, [ element( X, m ), element( n, X ), ~( =( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3543, [ ~( =( Y, j ) ), ~( =( X, Y ) ), ~( element( n, X ) ), ~(
% 24.70/25.12 element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3547, [ ~( =( Y, n ) ), ~( =( X, Y ) ), ~( element( n, X ) ), ~(
% 24.70/25.12 element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3561, [ ~( =( X, n ) ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3562, [ ~( =( X, j ) ), ~( element( n, X ) ), ~( element( X, j ) )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3574, [ ~( =( X, j ) ), element( X, m ), ~( =( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3583, [ ~( =( X, j ) ), ~( =( X, n ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3595, [ ~( =( X, n ) ), =( Y, n ), =( Y, j ), ~( element( j, Y ) )
% 24.70/25.12 , ~( element( Y, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3602, [ =( X, j ), ~( element( j, X ) ), ~( element( X, j ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3629, [ element( X, n ), ~( element( j, X ) ), ~( element( X, j ) )
% 24.70/25.12 ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3634, [ ~( element( j, X ) ), element( X, m ), ~( =( n, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3638, [ ~( element( j, X ) ), ~( =( n, X ) ), =( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3657, [ ~( =( n, X ) ), =( X, n ), =( X, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3703, [ ~( =( n, X ) ), =( X, n ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 3800, [ element( m, X ), ~( =( n, X ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 6312, [ =( X, m ), ~( element( X, m ) ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 6472, [ element( m, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 6474, [ =( n, m ) ] )
% 24.70/25.12 .
% 24.70/25.12 clause( 6476, [] )
% 24.70/25.12 .
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 % SZS output end Refutation
% 24.70/25.12 found a proof!
% 24.70/25.12
% 24.70/25.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 24.70/25.12
% 24.70/25.12 initialclauses(
% 24.70/25.12 [ clause( 6478, [ ~( =( m, n ) ) ] )
% 24.70/25.12 , clause( 6479, [ =( n, k ), =( m, k ) ] )
% 24.70/25.12 , clause( 6480, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 , clause( 6481, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 6482, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ] )
% 24.70/25.12 , clause( 6483, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ] )
% 24.70/25.12 , clause( 6484, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , clause( 6485, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ]
% 24.70/25.12 )
% 24.70/25.12 , clause( 6486, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~(
% 24.70/25.12 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 6487, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 24.70/25.12 , clause( 6488, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 24.70/25.12 , clause( 6489, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 24.70/25.12 , clause( 6490, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 24.70/25.12 , clause( 6491, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ),
% 24.70/25.12 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 6492, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 , clause( 6493, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 , clause( 6494, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 ] ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 6495, [ ~( =( n, m ) ) ] )
% 24.70/25.12 , clause( 6478, [ ~( =( m, n ) ) ] )
% 24.70/25.12 , 0, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 0, [ ~( =( n, m ) ) ] )
% 24.70/25.12 , clause( 6495, [ ~( =( n, m ) ) ] )
% 24.70/25.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 6498, [ =( k, m ), =( n, k ) ] )
% 24.70/25.12 , clause( 6479, [ =( n, k ), =( m, k ) ] )
% 24.70/25.12 , 1, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 6499, [ =( k, n ), =( k, m ) ] )
% 24.70/25.12 , clause( 6498, [ =( k, m ), =( n, k ) ] )
% 24.70/25.12 , 1, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 1, [ =( k, n ), =( k, m ) ] )
% 24.70/25.12 , clause( 6499, [ =( k, n ), =( k, m ) ] )
% 24.70/25.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 2, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 , clause( 6480, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 3, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 6481, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 4, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ] )
% 24.70/25.12 , clause( 6482, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), m ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 5, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ] )
% 24.70/25.12 , clause( 6483, [ =( X, m ), ~( element( X, m ) ), ~( =( f( X ), X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 6, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ] )
% 24.70/25.12 , clause( 6484, [ =( X, m ), ~( element( X, m ) ), element( X, f( X ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 7, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ] )
% 24.70/25.12 , clause( 6485, [ =( X, m ), ~( element( X, m ) ), element( f( X ), X ) ]
% 24.70/25.12 )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 8, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~( element(
% 24.70/25.12 X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 6486, [ =( X, m ), element( X, m ), =( Y, m ), =( Y, X ), ~(
% 24.70/25.12 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 24.70/25.12 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 9, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 24.70/25.12 , clause( 6487, [ =( X, n ), element( X, n ), ~( =( g( X ), n ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 10, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 24.70/25.12 , clause( 6488, [ =( X, n ), element( X, n ), ~( =( g( X ), X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 11, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 24.70/25.12 , clause( 6489, [ =( X, n ), element( X, n ), element( X, g( X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 12, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 24.70/25.12 , clause( 6490, [ =( X, n ), element( X, n ), element( g( X ), X ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 13, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 24.70/25.12 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 6491, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ),
% 24.70/25.12 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 24.70/25.12 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 14, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 , clause( 6492, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 15, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 , clause( 6493, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 16, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ] )
% 24.70/25.12 , clause( 6494, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7050, [ =( j, X ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 , clause( 2, [ =( X, j ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqrefl(
% 24.70/25.12 clause( 7053, [ =( j, k ), element( k, j ) ] )
% 24.70/25.12 , clause( 7050, [ =( j, X ), ~( =( X, k ) ), element( X, j ) ] )
% 24.70/25.12 , 1, substitution( 0, [ :=( X, k )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7054, [ =( k, j ), element( k, j ) ] )
% 24.70/25.12 , clause( 7053, [ =( j, k ), element( k, j ) ] )
% 24.70/25.12 , 0, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 17, [ =( k, j ), element( k, j ) ] )
% 24.70/25.12 , clause( 7054, [ =( k, j ), element( k, j ) ] )
% 24.70/25.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7070, [ ~( =( j, k ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 3, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7075, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 7070, [ ~( =( j, k ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 18, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 7075, [ ~( =( k, j ) ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7094, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 3, [ =( X, j ), =( X, k ), ~( element( X, j ) ) ] )
% 24.70/25.12 , 1, 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 19, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 24.70/25.12 , clause( 7094, [ ~( =( k, j ) ), =( X, j ), ~( element( X, j ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 24.70/25.12 1 ), ==>( 2, 2 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7101, [ =( n, X ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 24.70/25.12 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 13, [ =( X, n ), ~( element( X, n ) ), =( Y, n ), =( Y, X ), ~(
% 24.70/25.12 element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7111, [ ~( =( n, X ) ), =( n, X ), ~( element( X, n ) ), =( Y, X )
% 24.70/25.12 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 7101, [ =( n, X ), ~( element( X, n ) ), =( Y, n ), =( Y, X ),
% 24.70/25.12 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7121, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X )
% 24.70/25.12 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 7111, [ ~( =( n, X ) ), =( n, X ), ~( element( X, n ) ), =( Y, X
% 24.70/25.12 ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 27, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), =( Y, X ),
% 24.70/25.12 ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 7121, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X
% 24.70/25.12 ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 24.70/25.12 ), ==>( 1, 0 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7155, [ =( n, X ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X )
% 24.70/25.12 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , clause( 27, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), =( Y, X )
% 24.70/25.12 , ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7171, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ), =( n
% 24.70/25.12 , X ), ~( element( X, n ) ), ~( element( n, X ) ) ] )
% 24.70/25.12 , clause( 7155, [ =( n, X ), ~( =( n, X ) ), ~( element( X, n ) ), =( Y, X
% 24.70/25.12 ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 24.70/25.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, n )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 factor(
% 24.70/25.12 clause( 7173, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ), =( n
% 24.70/25.12 , X ), ~( element( n, X ) ) ] )
% 24.70/25.12 , clause( 7171, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ), =(
% 24.70/25.12 n, X ), ~( element( X, n ) ), ~( element( n, X ) ) ] )
% 24.70/25.12 , 2, 4, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqrefl(
% 24.70/25.12 clause( 7182, [ ~( =( n, X ) ), ~( element( X, n ) ), =( n, X ), ~( element(
% 24.70/25.12 n, X ) ) ] )
% 24.70/25.12 , clause( 7173, [ ~( =( X, X ) ), ~( =( n, X ) ), ~( element( X, n ) ), =(
% 24.70/25.12 n, X ), ~( element( n, X ) ) ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7185, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), ~( element(
% 24.70/25.12 n, X ) ) ] )
% 24.70/25.12 , clause( 7182, [ ~( =( n, X ) ), ~( element( X, n ) ), =( n, X ), ~(
% 24.70/25.12 element( n, X ) ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 28, [ ~( =( n, X ) ), =( X, n ), ~( element( X, n ) ), ~( element(
% 24.70/25.12 n, X ) ) ] )
% 24.70/25.12 , clause( 7185, [ =( X, n ), ~( =( n, X ) ), ~( element( X, n ) ), ~(
% 24.70/25.12 element( n, X ) ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 24.70/25.12 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7187, [ =( k, X ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 , clause( 14, [ =( X, k ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7191, [ =( m, k ), =( k, n ) ] )
% 24.70/25.12 , clause( 1, [ =( k, n ), =( k, m ) ] )
% 24.70/25.12 , 1, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqrefl(
% 24.70/25.12 clause( 7193, [ =( k, m ), element( m, k ) ] )
% 24.70/25.12 , clause( 7187, [ =( k, X ), ~( =( X, m ) ), element( X, k ) ] )
% 24.70/25.12 , 1, substitution( 0, [ :=( X, m )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 paramod(
% 24.70/25.12 clause( 7221, [ element( m, n ), =( m, k ), =( k, m ) ] )
% 24.70/25.12 , clause( 7191, [ =( m, k ), =( k, n ) ] )
% 24.70/25.12 , 1, clause( 7193, [ =( k, m ), element( m, k ) ] )
% 24.70/25.12 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7255, [ =( k, m ), element( m, n ), =( k, m ) ] )
% 24.70/25.12 , clause( 7221, [ element( m, n ), =( m, k ), =( k, m ) ] )
% 24.70/25.12 , 1, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 factor(
% 24.70/25.12 clause( 7258, [ =( k, m ), element( m, n ) ] )
% 24.70/25.12 , clause( 7255, [ =( k, m ), element( m, n ), =( k, m ) ] )
% 24.70/25.12 , 0, 2, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 29, [ =( k, m ), element( m, n ) ] )
% 24.70/25.12 , clause( 7258, [ =( k, m ), element( m, n ) ] )
% 24.70/25.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7268, [ =( k, X ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 , clause( 15, [ =( X, k ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7271, [ =( n, k ), =( k, m ) ] )
% 24.70/25.12 , clause( 1, [ =( k, n ), =( k, m ) ] )
% 24.70/25.12 , 0, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqrefl(
% 24.70/25.12 clause( 7274, [ =( k, n ), element( n, k ) ] )
% 24.70/25.12 , clause( 7268, [ =( k, X ), ~( =( X, n ) ), element( X, k ) ] )
% 24.70/25.12 , 1, substitution( 0, [ :=( X, n )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 paramod(
% 24.70/25.12 clause( 7276, [ element( n, m ), =( n, k ), =( k, n ) ] )
% 24.70/25.12 , clause( 7271, [ =( n, k ), =( k, m ) ] )
% 24.70/25.12 , 1, clause( 7274, [ =( k, n ), element( n, k ) ] )
% 24.70/25.12 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7310, [ =( k, n ), element( n, m ), =( k, n ) ] )
% 24.70/25.12 , clause( 7276, [ element( n, m ), =( n, k ), =( k, n ) ] )
% 24.70/25.12 , 1, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 factor(
% 24.70/25.12 clause( 7313, [ =( k, n ), element( n, m ) ] )
% 24.70/25.12 , clause( 7310, [ =( k, n ), element( n, m ), =( k, n ) ] )
% 24.70/25.12 , 0, 2, substitution( 0, [] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 30, [ =( k, n ), element( n, m ) ] )
% 24.70/25.12 , clause( 7313, [ =( k, n ), element( n, m ) ] )
% 24.70/25.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 24.70/25.12 ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7325, [ =( n, X ), =( X, k ), =( X, m ), ~( element( X, k ) ) ] )
% 24.70/25.12 , clause( 16, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7487, [ ~( =( m, k ) ), =( n, X ), =( X, k ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7325, [ =( n, X ), =( X, k ), =( X, m ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , 2, 1, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7490, [ =( k, X ), ~( =( m, k ) ), =( n, X ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7487, [ ~( =( m, k ) ), =( n, X ), =( X, k ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7492, [ =( X, n ), =( k, X ), ~( =( m, k ) ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7490, [ =( k, X ), ~( =( m, k ) ), =( n, X ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7493, [ ~( =( k, m ) ), =( X, n ), =( k, X ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7492, [ =( X, n ), =( k, X ), ~( =( m, k ) ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7494, [ =( X, k ), ~( =( k, m ) ), =( X, n ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7493, [ ~( =( k, m ) ), =( X, n ), =( k, X ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 33, [ ~( =( k, m ) ), =( X, k ), =( X, n ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , clause( 7494, [ =( X, k ), ~( =( k, m ) ), =( X, n ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 24.70/25.12 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7523, [ =( m, X ), =( X, k ), =( X, n ), ~( element( X, k ) ) ] )
% 24.70/25.12 , clause( 16, [ =( X, k ), =( X, m ), =( X, n ), ~( element( X, k ) ) ] )
% 24.70/25.12 , 1, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7574, [ ~( =( n, k ) ), =( m, X ), =( X, k ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7523, [ =( m, X ), =( X, k ), =( X, n ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , 2, 1, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7577, [ =( k, X ), ~( =( n, k ) ), =( m, X ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7574, [ ~( =( n, k ) ), =( m, X ), =( X, k ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7579, [ =( X, m ), =( k, X ), ~( =( n, k ) ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7577, [ =( k, X ), ~( =( n, k ) ), =( m, X ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7580, [ ~( =( k, n ) ), =( X, m ), =( k, X ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7579, [ =( X, m ), =( k, X ), ~( =( n, k ) ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7581, [ =( X, k ), ~( =( k, n ) ), =( X, m ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 7580, [ ~( =( k, n ) ), =( X, m ), =( k, X ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 subsumption(
% 24.70/25.12 clause( 34, [ ~( =( k, n ) ), =( X, k ), =( X, m ), ~( element( X, k ) ) ]
% 24.70/25.12 )
% 24.70/25.12 , clause( 7581, [ =( X, k ), ~( =( k, n ) ), =( X, m ), ~( element( X, k )
% 24.70/25.12 ) ] )
% 24.70/25.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 24.70/25.12 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqswap(
% 24.70/25.12 clause( 7609, [ ~( =( n, k ) ), =( X, k ), =( X, m ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , clause( 34, [ ~( =( k, n ) ), =( X, k ), =( X, m ), ~( element( X, k ) )
% 24.70/25.12 ] )
% 24.70/25.12 , 0, substitution( 0, [ :=( X, X )] )).
% 24.70/25.12
% 24.70/25.12
% 24.70/25.12 eqfact(
% 24.70/25.12 clause( 7616, [ ~( =( k, m ) ), ~( =( n, k ) ), =( X, m ), ~( element( X, k
% 24.70/25.13 ) ) ] )
% 24.70/25.13 , clause( 7609, [ ~( =( n, k ) ), =( X, k ), =( X, m ), ~( element( X, k )
% 24.70/25.13 ) ] )
% 24.70/25.13 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 eqswap(
% 24.70/25.13 clause( 7626, [ ~( =( k, n ) ), ~( =( k, m ) ), =( X, m ), ~( element( X, k
% 24.70/25.13 ) ) ] )
% 24.70/25.13 , clause( 7616, [ ~( =( k, m ) ), ~( =( n, k ) ), =( X, m ), ~( element( X
% 24.70/25.13 , k ) ) ] )
% 24.70/25.13 , 1, substitution( 0, [ :=( X, X )] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 subsumption(
% 24.70/25.13 clause( 35, [ ~( =( k, m ) ), ~( =( k, n ) ), =( X, m ), ~( element( X, k )
% 24.70/25.13 ) ] )
% 24.70/25.13 , clause( 7626, [ ~( =( k, n ) ), ~( =( k, m ) ), =( X, m ), ~( element( X
% 24.70/25.13 , k ) ) ] )
% 24.70/25.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 24.70/25.13 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 eqswap(
% 24.70/25.13 clause( 7632, [ =( m, k ), element( m, n ) ] )
% 24.70/25.13 , clause( 29, [ =( k, m ), element( m, n ) ] )
% 24.70/25.13 , 0, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7634, [ =( m, n ), element( n, m ), element( m, n ) ] )
% 24.70/25.13 , clause( 30, [ =( k, n ), element( n, m ) ] )
% 24.70/25.13 , 0, clause( 7632, [ =( m, k ), element( m, n ) ] )
% 24.70/25.13 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 eqswap(
% 24.70/25.13 clause( 7635, [ =( n, m ), element( n, m ), element( m, n ) ] )
% 24.70/25.13 , clause( 7634, [ =( m, n ), element( n, m ), element( m, n ) ] )
% 24.70/25.13 , 0, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 subsumption(
% 24.70/25.13 clause( 38, [ =( n, m ), element( n, m ), element( m, n ) ] )
% 24.70/25.13 , clause( 7635, [ =( n, m ), element( n, m ), element( m, n ) ] )
% 24.70/25.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 24.70/25.13 , 2 )] ) ).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 eqswap(
% 24.70/25.13 clause( 7636, [ =( j, k ), element( k, j ) ] )
% 24.70/25.13 , clause( 17, [ =( k, j ), element( k, j ) ] )
% 24.70/25.13 , 0, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7640, [ element( m, j ), element( m, n ), =( j, k ) ] )
% 24.70/25.13 , clause( 29, [ =( k, m ), element( m, n ) ] )
% 24.70/25.13 , 0, clause( 7636, [ =( j, k ), element( k, j ) ] )
% 24.70/25.13 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7643, [ =( j, m ), element( m, n ), element( m, j ), element( m, n
% 24.70/25.13 ) ] )
% 24.70/25.13 , clause( 29, [ =( k, m ), element( m, n ) ] )
% 24.70/25.13 , 0, clause( 7640, [ element( m, j ), element( m, n ), =( j, k ) ] )
% 24.70/25.13 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 factor(
% 24.70/25.13 clause( 7646, [ =( j, m ), element( m, n ), element( m, j ) ] )
% 24.70/25.13 , clause( 7643, [ =( j, m ), element( m, n ), element( m, j ), element( m,
% 24.70/25.13 n ) ] )
% 24.70/25.13 , 1, 3, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 subsumption(
% 24.70/25.13 clause( 39, [ =( j, m ), element( m, n ), element( m, j ) ] )
% 24.70/25.13 , clause( 7646, [ =( j, m ), element( m, n ), element( m, j ) ] )
% 24.70/25.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 24.70/25.13 , 2 )] ) ).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 eqswap(
% 24.70/25.13 clause( 7647, [ =( j, k ), element( k, j ) ] )
% 24.70/25.13 , clause( 17, [ =( k, j ), element( k, j ) ] )
% 24.70/25.13 , 0, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7651, [ element( n, j ), element( n, m ), =( j, k ) ] )
% 24.70/25.13 , clause( 30, [ =( k, n ), element( n, m ) ] )
% 24.70/25.13 , 0, clause( 7647, [ =( j, k ), element( k, j ) ] )
% 24.70/25.13 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7654, [ =( j, n ), element( n, m ), element( n, j ), element( n, m
% 24.70/25.13 ) ] )
% 24.70/25.13 , clause( 30, [ =( k, n ), element( n, m ) ] )
% 24.70/25.13 , 0, clause( 7651, [ element( n, j ), element( n, m ), =( j, k ) ] )
% 24.70/25.13 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 factor(
% 24.70/25.13 clause( 7657, [ =( j, n ), element( n, m ), element( n, j ) ] )
% 24.70/25.13 , clause( 7654, [ =( j, n ), element( n, m ), element( n, j ), element( n,
% 24.70/25.13 m ) ] )
% 24.70/25.13 , 1, 3, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 subsumption(
% 24.70/25.13 clause( 40, [ =( j, n ), element( n, m ), element( n, j ) ] )
% 24.70/25.13 , clause( 7657, [ =( j, n ), element( n, m ), element( n, j ) ] )
% 24.70/25.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 24.70/25.13 , 2 )] ) ).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 eqswap(
% 24.70/25.13 clause( 7661, [ =( j, k ), element( k, j ) ] )
% 24.70/25.13 , clause( 17, [ =( k, j ), element( k, j ) ] )
% 24.70/25.13 , 0, substitution( 0, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7993, [ element( m, j ), =( k, n ), =( j, k ) ] )
% 24.70/25.13 , clause( 1, [ =( k, n ), =( k, m ) ] )
% 24.70/25.13 , 1, clause( 7661, [ =( j, k ), element( k, j ) ] )
% 24.70/25.13 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 24.70/25.13
% 24.70/25.13
% 24.70/25.13 paramod(
% 24.70/25.13 clause( 7997, [ =( j, m ), =( k, n ), element( m, j ), =( k, n ) ] )
% 24.70/25.13 , clause( 1, [ =( k, n ), =( k, m ) ] )
% 24.70/25.13 , 1, clause( 7993, [ element( m, j ), =( k, n ), =( j, k ) ] )
% 24.70/25.13 , 2, 2, substitutCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------