%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN015-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 23.66s 24.06s
% Output : Refutation 23.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN015-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.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 : Tue Jul 12 04:44:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 23.66/24.06 *** allocated 10000 integers for termspace/termends
% 23.66/24.06 *** allocated 10000 integers for clauses
% 23.66/24.06 *** allocated 10000 integers for justifications
% 23.66/24.06 Bliksem 1.12
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Automatic Strategy Selection
% 23.66/24.06
% 23.66/24.06 Clauses:
% 23.66/24.06 [
% 23.66/24.06 [ equalish( X, X ) ],
% 23.66/24.06 [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 23.66/24.06 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 23.66/24.06 [ ~( equalish( X, Y ) ), ~( element( Z, X ) ), element( Z, Y ) ],
% 23.66/24.06 [ ~( element( X, Y ) ), ~( equalish( X, Z ) ), element( Z, Y ) ],
% 23.66/24.06 [ ~( element( X, a ) ), equalish( X, k ), equalish( X, a ) ],
% 23.66/24.06 [ ~( equalish( X, k ) ), element( X, a ), equalish( X, a ) ],
% 23.66/24.06 [ ~( equalish( f( X ), m ) ), ~( element( X, m ) ), equalish( X, m ) ]
% 23.66/24.06 ,
% 23.66/24.06 [ ~( equalish( f( X ), X ) ), ~( element( X, m ) ), equalish( X, m ) ]
% 23.66/24.06 ,
% 23.66/24.06 [ element( X, f( X ) ), ~( element( X, m ) ), equalish( X, m ) ],
% 23.66/24.06 [ element( f( X ), X ), ~( element( X, m ) ), equalish( X, m ) ],
% 23.66/24.06 [ ~( element( X, Y ) ), ~( element( Y, X ) ), equalish( X, Y ), equalish(
% 23.66/24.06 X, m ), element( Y, m ), equalish( Y, m ) ],
% 23.66/24.06 [ ~( equalish( g( X ), n ) ), element( X, n ), equalish( X, n ) ],
% 23.66/24.06 [ ~( equalish( g( X ), X ) ), element( X, n ), equalish( X, n ) ],
% 23.66/24.06 [ element( X, g( X ) ), element( X, n ), equalish( X, n ) ],
% 23.66/24.06 [ element( g( X ), X ), element( X, n ), equalish( X, n ) ],
% 23.66/24.06 [ ~( element( X, Y ) ), ~( element( Y, X ) ), equalish( X, Y ), equalish(
% 23.66/24.06 X, n ), ~( element( Y, n ) ), equalish( Y, n ) ],
% 23.66/24.06 [ ~( equalish( X, m ) ), element( X, k ), equalish( X, k ) ],
% 23.66/24.06 [ ~( equalish( X, n ) ), element( X, k ), equalish( X, k ) ],
% 23.66/24.06 [ ~( element( X, k ) ), equalish( X, n ), equalish( X, m ), equalish( X
% 23.66/24.06 , k ) ],
% 23.66/24.06 [ ~( equalish( n, a ) ) ],
% 23.66/24.06 [ ~( equalish( m, n ) ) ],
% 23.66/24.06 [ ~( equalish( n, k ) ) ],
% 23.66/24.06 [ ~( equalish( m, a ) ) ],
% 23.66/24.06 [ ~( equalish( k, a ) ) ],
% 23.66/24.06 [ equalish( m, k ) ]
% 23.66/24.06 ] .
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 percentage equality = 0.000000, percentage horn = 0.500000
% 23.66/24.06 This a non-horn, non-equality problem
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Options Used:
% 23.66/24.06
% 23.66/24.06 useres = 1
% 23.66/24.06 useparamod = 0
% 23.66/24.06 useeqrefl = 0
% 23.66/24.06 useeqfact = 0
% 23.66/24.06 usefactor = 1
% 23.66/24.06 usesimpsplitting = 0
% 23.66/24.06 usesimpdemod = 0
% 23.66/24.06 usesimpres = 3
% 23.66/24.06
% 23.66/24.06 resimpinuse = 1000
% 23.66/24.06 resimpclauses = 20000
% 23.66/24.06 substype = standard
% 23.66/24.06 backwardsubs = 1
% 23.66/24.06 selectoldest = 5
% 23.66/24.06
% 23.66/24.06 litorderings [0] = split
% 23.66/24.06 litorderings [1] = liftord
% 23.66/24.06
% 23.66/24.06 termordering = none
% 23.66/24.06
% 23.66/24.06 litapriori = 1
% 23.66/24.06 termapriori = 0
% 23.66/24.06 litaposteriori = 0
% 23.66/24.06 termaposteriori = 0
% 23.66/24.06 demodaposteriori = 0
% 23.66/24.06 ordereqreflfact = 0
% 23.66/24.06
% 23.66/24.06 litselect = none
% 23.66/24.06
% 23.66/24.06 maxweight = 15
% 23.66/24.06 maxdepth = 30000
% 23.66/24.06 maxlength = 115
% 23.66/24.06 maxnrvars = 195
% 23.66/24.06 excuselevel = 1
% 23.66/24.06 increasemaxweight = 1
% 23.66/24.06
% 23.66/24.06 maxselected = 10000000
% 23.66/24.06 maxnrclauses = 10000000
% 23.66/24.06
% 23.66/24.06 showgenerated = 0
% 23.66/24.06 showkept = 0
% 23.66/24.06 showselected = 0
% 23.66/24.06 showdeleted = 0
% 23.66/24.06 showresimp = 1
% 23.66/24.06 showstatus = 2000
% 23.66/24.06
% 23.66/24.06 prologoutput = 1
% 23.66/24.06 nrgoals = 5000000
% 23.66/24.06 totalproof = 1
% 23.66/24.06
% 23.66/24.06 Symbols occurring in the translation:
% 23.66/24.06
% 23.66/24.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 23.66/24.06 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 23.66/24.06 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 23.66/24.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.66/24.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.66/24.06 equalish [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 23.66/24.06 element [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 23.66/24.06 a [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 23.66/24.06 k [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 23.66/24.06 f [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 23.66/24.06 m [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 23.66/24.06 g [51, 1] (w:1, o:25, a:1, s:1, b:0),
% 23.66/24.06 n [52, 0] (w:1, o:18, a:1, s:1, b:0).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Starting Search:
% 23.66/24.06
% 23.66/24.06 Resimplifying inuse:
% 23.66/24.06 Done
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Intermediate Status:
% 23.66/24.06 Generated: 46255
% 23.66/24.06 Kept: 2022
% 23.66/24.06 Inuse: 481
% 23.66/24.06 Deleted: 60
% 23.66/24.06 Deletedinuse: 3
% 23.66/24.06
% 23.66/24.06 Resimplifying inuse:
% 23.66/24.06 Done
% 23.66/24.06
% 23.66/24.06 Resimplifying inuse:
% 23.66/24.06 Done
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Intermediate Status:
% 23.66/24.06 Generated: 202712
% 23.66/24.06 Kept: 4023
% 23.66/24.06 Inuse: 975
% 23.66/24.06 Deleted: 105
% 23.66/24.06 Deletedinuse: 20
% 23.66/24.06
% 23.66/24.06 Resimplifying inuse:
% 23.66/24.06 Done
% 23.66/24.06
% 23.66/24.06 Resimplifying inuse:
% 23.66/24.06 Done
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Intermediate Status:
% 23.66/24.06 Generated: 1199416
% 23.66/24.06 Kept: 6024
% 23.66/24.06 Inuse: 2656
% 23.66/24.06 Deleted: 1032
% 23.66/24.06 Deletedinuse: 351
% 23.66/24.06
% 23.66/24.06 Resimplifying inuse:
% 23.66/24.06 Done
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 Bliksems!, er is een bewijs:
% 23.66/24.06 % SZS status Unsatisfiable
% 23.66/24.06 % SZS output start Refutation
% 23.66/24.06
% 23.66/24.06 clause( 0, [ equalish( X, X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X, Y ) )
% 23.66/24.06 ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) ) ]
% 23.66/24.06 )
% 23.66/24.06 .
% 23.66/24.06 clause( 4, [ ~( equalish( X, Z ) ), element( Z, Y ), ~( element( X, Y ) ) ]
% 23.66/24.06 )
% 23.66/24.06 .
% 23.66/24.06 clause( 7, [ ~( equalish( f( X ), m ) ), equalish( X, m ), ~( element( X, m
% 23.66/24.06 ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 8, [ ~( equalish( f( X ), X ) ), equalish( X, m ), ~( element( X, m
% 23.66/24.06 ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 9, [ ~( element( X, m ) ), equalish( X, m ), element( X, f( X ) ) ]
% 23.66/24.06 )
% 23.66/24.06 .
% 23.66/24.06 clause( 10, [ equalish( X, m ), element( f( X ), X ), ~( element( X, m ) )
% 23.66/24.06 ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 11, [ equalish( X, Y ), equalish( X, m ), equalish( Y, m ), element(
% 23.66/24.06 Y, m ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 18, [ ~( equalish( X, n ) ), equalish( X, k ), element( X, k ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 19, [ equalish( X, n ), equalish( X, m ), equalish( X, k ), ~(
% 23.66/24.06 element( X, k ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 21, [ ~( equalish( m, n ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 22, [ ~( equalish( n, k ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 25, [ equalish( m, k ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 29, [ equalish( k, m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 31, [ ~( equalish( X, k ) ), equalish( X, m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 36, [ ~( equalish( X, Z ) ), ~( equalish( Y, Z ) ), equalish( X, Y
% 23.66/24.06 ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 39, [ ~( equalish( n, X ) ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 42, [ equalish( X, k ), ~( equalish( X, m ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 43, [ ~( equalish( k, X ) ), equalish( m, X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 44, [ ~( equalish( m, X ) ), ~( equalish( X, n ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 45, [ ~( equalish( n, m ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 50, [ ~( equalish( X, Y ) ), ~( equalish( Y, T ) ), element( Z, T )
% 23.66/24.06 , ~( element( Z, X ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 70, [ equalish( m, X ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 71, [ ~( equalish( X, k ) ), ~( equalish( X, n ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 107, [ equalish( X, m ), ~( equalish( f( X ), Y ) ), element( X, Y
% 23.66/24.06 ), ~( element( X, m ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 164, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X ), m
% 23.66/24.06 ), ~( element( X, m ) ), ~( element( X, f( X ) ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 344, [ ~( equalish( X, n ) ), element( X, k ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 345, [ ~( equalish( X, n ) ), ~( equalish( X, Y ) ), element( Y, k
% 23.66/24.06 ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 347, [ ~( equalish( X, n ) ), element( n, k ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 348, [ ~( equalish( X, n ) ), ~( equalish( n, Y ) ), element( Y, k
% 23.66/24.06 ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 350, [ element( n, k ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 352, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 355, [ equalish( X, k ), equalish( X, n ), ~( element( X, k ) ) ]
% 23.66/24.06 )
% 23.66/24.06 .
% 23.66/24.06 clause( 356, [ equalish( n, m ), element( f( n ), n ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 357, [ equalish( n, m ), ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 358, [ equalish( n, m ), ~( equalish( f( n ), m ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 360, [ element( f( n ), n ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 361, [ equalish( n, m ), equalish( f( n ), m ), element( n, m ),
% 23.66/24.06 ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 363, [ ~( equalish( n, X ) ), element( f( n ), X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 466, [ ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 470, [ ~( equalish( n, X ) ), ~( equalish( f( n ), X ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 482, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), ~( equalish( Z
% 23.66/24.06 , U ) ), element( T, U ), ~( element( T, X ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 483, [ ~( equalish( Y, X ) ), ~( element( Z, X ) ), element( Z, Y )
% 23.66/24.06 ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 528, [ ~( equalish( f( n ), m ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 538, [ ~( equalish( f( n ), k ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 642, [ ~( equalish( X, k ) ), element( n, X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 905, [ equalish( X, k ), ~( equalish( Z, k ) ), ~( equalish( Y, Z )
% 23.66/24.06 ), equalish( X, n ), ~( element( X, Y ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 1088, [ ~( equalish( f( n ), X ) ), ~( equalish( m, k ) ), element(
% 23.66/24.06 n, X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 1597, [ equalish( X, m ), equalish( X, f( X ) ), ~( element( X, m )
% 23.66/24.06 ), element( f( X ), m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 1598, [ ~( equalish( f( n ), X ) ), element( n, X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 1608, [ ~( equalish( f( n ), X ) ), ~( equalish( X, Y ) ), element(
% 23.66/24.06 n, Y ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 1609, [ element( n, f( n ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 3652, [ element( n, m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 3666, [ ~( equalish( m, X ) ), ~( equalish( X, Y ) ), element( n, Y
% 23.66/24.06 ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 3667, [ ~( equalish( n, X ) ), element( X, m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6118, [ equalish( n, f( n ) ), ~( equalish( m, X ) ), ~( equalish(
% 23.66/24.06 X, m ) ), element( f( n ), m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6124, [ ~( equalish( m, m ) ), element( f( n ), m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6125, [ element( f( n ), m ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6196, [ ~( equalish( X, m ) ), element( f( n ), X ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6380, [ ~( equalish( Y, k ) ), ~( equalish( X, m ) ), equalish( f(
% 23.66/24.06 n ), n ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6398, [ ~( equalish( X, m ) ), equalish( f( n ), n ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6399, [ ~( equalish( X, m ) ) ] )
% 23.66/24.06 .
% 23.66/24.06 clause( 6415, [] )
% 23.66/24.06 .
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 % SZS output end Refutation
% 23.66/24.06 found a proof!
% 23.66/24.06
% 23.66/24.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 23.66/24.06
% 23.66/24.06 initialclauses(
% 23.66/24.06 [ clause( 6417, [ equalish( X, X ) ] )
% 23.66/24.06 , clause( 6418, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 23.66/24.06 , clause( 6419, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 23.66/24.06 , Z ) ] )
% 23.66/24.06 , clause( 6420, [ ~( equalish( X, Y ) ), ~( element( Z, X ) ), element( Z,
% 23.66/24.06 Y ) ] )
% 23.66/24.06 , clause( 6421, [ ~( element( X, Y ) ), ~( equalish( X, Z ) ), element( Z,
% 23.66/24.06 Y ) ] )
% 23.66/24.06 , clause( 6422, [ ~( element( X, a ) ), equalish( X, k ), equalish( X, a )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6423, [ ~( equalish( X, k ) ), element( X, a ), equalish( X, a )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6424, [ ~( equalish( f( X ), m ) ), ~( element( X, m ) ),
% 23.66/24.06 equalish( X, m ) ] )
% 23.66/24.06 , clause( 6425, [ ~( equalish( f( X ), X ) ), ~( element( X, m ) ),
% 23.66/24.06 equalish( X, m ) ] )
% 23.66/24.06 , clause( 6426, [ element( X, f( X ) ), ~( element( X, m ) ), equalish( X,
% 23.66/24.06 m ) ] )
% 23.66/24.06 , clause( 6427, [ element( f( X ), X ), ~( element( X, m ) ), equalish( X,
% 23.66/24.06 m ) ] )
% 23.66/24.06 , clause( 6428, [ ~( element( X, Y ) ), ~( element( Y, X ) ), equalish( X,
% 23.66/24.06 Y ), equalish( X, m ), element( Y, m ), equalish( Y, m ) ] )
% 23.66/24.06 , clause( 6429, [ ~( equalish( g( X ), n ) ), element( X, n ), equalish( X
% 23.66/24.06 , n ) ] )
% 23.66/24.06 , clause( 6430, [ ~( equalish( g( X ), X ) ), element( X, n ), equalish( X
% 23.66/24.06 , n ) ] )
% 23.66/24.06 , clause( 6431, [ element( X, g( X ) ), element( X, n ), equalish( X, n ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6432, [ element( g( X ), X ), element( X, n ), equalish( X, n ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6433, [ ~( element( X, Y ) ), ~( element( Y, X ) ), equalish( X,
% 23.66/24.06 Y ), equalish( X, n ), ~( element( Y, n ) ), equalish( Y, n ) ] )
% 23.66/24.06 , clause( 6434, [ ~( equalish( X, m ) ), element( X, k ), equalish( X, k )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6435, [ ~( equalish( X, n ) ), element( X, k ), equalish( X, k )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6436, [ ~( element( X, k ) ), equalish( X, n ), equalish( X, m )
% 23.66/24.06 , equalish( X, k ) ] )
% 23.66/24.06 , clause( 6437, [ ~( equalish( n, a ) ) ] )
% 23.66/24.06 , clause( 6438, [ ~( equalish( m, n ) ) ] )
% 23.66/24.06 , clause( 6439, [ ~( equalish( n, k ) ) ] )
% 23.66/24.06 , clause( 6440, [ ~( equalish( m, a ) ) ] )
% 23.66/24.06 , clause( 6441, [ ~( equalish( k, a ) ) ] )
% 23.66/24.06 , clause( 6442, [ equalish( m, k ) ] )
% 23.66/24.06 ] ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 0, [ equalish( X, X ) ] )
% 23.66/24.06 , clause( 6417, [ equalish( X, X ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 , clause( 6418, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.66/24.06 ), ==>( 1, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X, Y ) )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6419, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 23.66/24.06 , Z ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.66/24.06 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6420, [ ~( equalish( X, Y ) ), ~( element( Z, X ) ), element( Z,
% 23.66/24.06 Y ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.66/24.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 4, [ ~( equalish( X, Z ) ), element( Z, Y ), ~( element( X, Y ) ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6421, [ ~( element( X, Y ) ), ~( equalish( X, Z ) ), element( Z,
% 23.66/24.06 Y ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.66/24.06 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 7, [ ~( equalish( f( X ), m ) ), equalish( X, m ), ~( element( X, m
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , clause( 6424, [ ~( equalish( f( X ), m ) ), ~( element( X, m ) ),
% 23.66/24.06 equalish( X, m ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 2 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 8, [ ~( equalish( f( X ), X ) ), equalish( X, m ), ~( element( X, m
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , clause( 6425, [ ~( equalish( f( X ), X ) ), ~( element( X, m ) ),
% 23.66/24.06 equalish( X, m ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 2 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 9, [ ~( element( X, m ) ), equalish( X, m ), element( X, f( X ) ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6426, [ element( X, f( X ) ), ~( element( X, m ) ), equalish( X,
% 23.66/24.06 m ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 23.66/24.06 0 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 10, [ equalish( X, m ), element( f( X ), X ), ~( element( X, m ) )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6427, [ element( f( X ), X ), ~( element( X, m ) ), equalish( X,
% 23.66/24.06 m ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.06 2 ), ==>( 2, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 11, [ equalish( X, Y ), equalish( X, m ), equalish( Y, m ), element(
% 23.66/24.06 Y, m ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 23.66/24.06 , clause( 6428, [ ~( element( X, Y ) ), ~( element( Y, X ) ), equalish( X,
% 23.66/24.06 Y ), equalish( X, m ), element( Y, m ), equalish( Y, m ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 4
% 23.66/24.06 ), ==>( 1, 5 ), ==>( 2, 0 ), ==>( 3, 1 ), ==>( 4, 3 ), ==>( 5, 2 )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 18, [ ~( equalish( X, n ) ), equalish( X, k ), element( X, k ) ] )
% 23.66/24.06 , clause( 6435, [ ~( equalish( X, n ) ), element( X, k ), equalish( X, k )
% 23.66/24.06 ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 2 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 19, [ equalish( X, n ), equalish( X, m ), equalish( X, k ), ~(
% 23.66/24.06 element( X, k ) ) ] )
% 23.66/24.06 , clause( 6436, [ ~( element( X, k ) ), equalish( X, n ), equalish( X, m )
% 23.66/24.06 , equalish( X, k ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 23.66/24.06 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 21, [ ~( equalish( m, n ) ) ] )
% 23.66/24.06 , clause( 6438, [ ~( equalish( m, n ) ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 22, [ ~( equalish( n, k ) ) ] )
% 23.66/24.06 , clause( 6439, [ ~( equalish( n, k ) ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 25, [ equalish( m, k ) ] )
% 23.66/24.06 , clause( 6442, [ equalish( m, k ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6516, [ equalish( k, m ) ] )
% 23.66/24.06 , clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 , 1, clause( 25, [ equalish( m, k ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, m ), :=( Y, k )] ), substitution( 1, [] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 29, [ equalish( k, m ) ] )
% 23.66/24.06 , clause( 6516, [ equalish( k, m ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6517, [ equalish( X, m ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X, Y )
% 23.66/24.06 ) ] )
% 23.66/24.06 , 0, clause( 29, [ equalish( k, m ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, k ), :=( Z, m )] ),
% 23.66/24.06 substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 31, [ ~( equalish( X, k ) ), equalish( X, m ) ] )
% 23.66/24.06 , clause( 6517, [ equalish( X, m ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.06 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6519, [ equalish( Z, Y ), ~( equalish( Z, X ) ), ~( equalish( Y, X
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X, Y )
% 23.66/24.06 ) ] )
% 23.66/24.06 , 0, clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 23.66/24.06 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 36, [ ~( equalish( X, Z ) ), ~( equalish( Y, Z ) ), equalish( X, Y
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 6519, [ equalish( Z, Y ), ~( equalish( Z, X ) ), ~( equalish( Y,
% 23.66/24.06 X ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 23.66/24.06 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6523, [ ~( equalish( X, k ) ), ~( equalish( n, X ) ) ] )
% 23.66/24.06 , clause( 22, [ ~( equalish( n, k ) ) ] )
% 23.66/24.06 , 0, clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X,
% 23.66/24.06 Y ) ) ] )
% 23.66/24.06 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, n ), :=( Y, X ), :=(
% 23.66/24.06 Z, k )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 39, [ ~( equalish( n, X ) ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , clause( 6523, [ ~( equalish( X, k ) ), ~( equalish( n, X ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.06 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6524, [ equalish( X, k ), ~( equalish( X, m ) ) ] )
% 23.66/24.06 , clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X, Y )
% 23.66/24.06 ) ] )
% 23.66/24.06 , 0, clause( 25, [ equalish( m, k ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, m ), :=( Z, k )] ),
% 23.66/24.06 substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 42, [ equalish( X, k ), ~( equalish( X, m ) ) ] )
% 23.66/24.06 , clause( 6524, [ equalish( X, k ), ~( equalish( X, m ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6527, [ ~( equalish( k, X ) ), equalish( m, X ) ] )
% 23.66/24.06 , clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X, Y )
% 23.66/24.06 ) ] )
% 23.66/24.06 , 2, clause( 25, [ equalish( m, k ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, m ), :=( Y, k ), :=( Z, X )] ),
% 23.66/24.06 substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 43, [ ~( equalish( k, X ) ), equalish( m, X ) ] )
% 23.66/24.06 , clause( 6527, [ ~( equalish( k, X ) ), equalish( m, X ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6528, [ ~( equalish( X, n ) ), ~( equalish( m, X ) ) ] )
% 23.66/24.06 , clause( 21, [ ~( equalish( m, n ) ) ] )
% 23.66/24.06 , 0, clause( 2, [ ~( equalish( Y, Z ) ), equalish( X, Z ), ~( equalish( X,
% 23.66/24.06 Y ) ) ] )
% 23.66/24.06 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, m ), :=( Y, X ), :=(
% 23.66/24.06 Z, n )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 44, [ ~( equalish( m, X ) ), ~( equalish( X, n ) ) ] )
% 23.66/24.06 , clause( 6528, [ ~( equalish( X, n ) ), ~( equalish( m, X ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.06 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6529, [ ~( equalish( n, m ) ) ] )
% 23.66/24.06 , clause( 21, [ ~( equalish( m, n ) ) ] )
% 23.66/24.06 , 0, clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, n ), :=( Y, m )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 45, [ ~( equalish( n, m ) ) ] )
% 23.66/24.06 , clause( 6529, [ ~( equalish( n, m ) ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6530, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( equalish( T, X )
% 23.66/24.06 ), ~( element( Z, T ) ) ] )
% 23.66/24.06 , clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) )
% 23.66/24.06 ] )
% 23.66/24.06 , 2, clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.66/24.06 substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 50, [ ~( equalish( X, Y ) ), ~( equalish( Y, T ) ), element( Z, T )
% 23.66/24.06 , ~( element( Z, X ) ) ] )
% 23.66/24.06 , clause( 6530, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( equalish( T, X
% 23.66/24.06 ) ), ~( element( Z, T ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] ),
% 23.66/24.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6533, [ equalish( m, X ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.06 , 1, clause( 31, [ ~( equalish( X, k ) ), equalish( X, m ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, m )] ), substitution( 1, [ :=( X
% 23.66/24.06 , X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 70, [ equalish( m, X ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , clause( 6533, [ equalish( m, X ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6534, [ ~( equalish( X, n ) ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , clause( 44, [ ~( equalish( m, X ) ), ~( equalish( X, n ) ) ] )
% 23.66/24.06 , 0, clause( 70, [ equalish( m, X ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 71, [ ~( equalish( X, k ) ), ~( equalish( X, n ) ) ] )
% 23.66/24.06 , clause( 6534, [ ~( equalish( X, n ) ), ~( equalish( X, k ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.06 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6538, [ ~( equalish( f( X ), Y ) ), element( X, Y ), ~( element( X
% 23.66/24.06 , m ) ), equalish( X, m ) ] )
% 23.66/24.06 , clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) )
% 23.66/24.06 ] )
% 23.66/24.06 , 2, clause( 9, [ ~( element( X, m ) ), equalish( X, m ), element( X, f( X
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , 2, substitution( 0, [ :=( X, f( X ) ), :=( Y, Y ), :=( Z, X )] ),
% 23.66/24.06 substitution( 1, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 107, [ equalish( X, m ), ~( equalish( f( X ), Y ) ), element( X, Y
% 23.66/24.06 ), ~( element( X, m ) ) ] )
% 23.66/24.06 , clause( 6538, [ ~( equalish( f( X ), Y ) ), element( X, Y ), ~( element(
% 23.66/24.06 X, m ) ), equalish( X, m ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.66/24.06 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6541, [ equalish( X, f( X ) ), equalish( X, m ), equalish( f( X ),
% 23.66/24.06 m ), element( f( X ), m ), ~( element( X, f( X ) ) ), equalish( X, m ),
% 23.66/24.06 ~( element( X, m ) ) ] )
% 23.66/24.06 , clause( 11, [ equalish( X, Y ), equalish( X, m ), equalish( Y, m ),
% 23.66/24.06 element( Y, m ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 23.66/24.06 , 5, clause( 10, [ equalish( X, m ), element( f( X ), X ), ~( element( X, m
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, f( X ) )] ), substitution( 1, [
% 23.66/24.06 :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6546, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X )
% 23.66/24.06 ), equalish( X, m ), element( f( X ), m ), ~( element( X, f( X ) ) ),
% 23.66/24.06 equalish( X, m ), ~( element( X, m ) ) ] )
% 23.66/24.06 , clause( 7, [ ~( equalish( f( X ), m ) ), equalish( X, m ), ~( element( X
% 23.66/24.06 , m ) ) ] )
% 23.66/24.06 , 0, clause( 6541, [ equalish( X, f( X ) ), equalish( X, m ), equalish( f(
% 23.66/24.06 X ), m ), element( f( X ), m ), ~( element( X, f( X ) ) ), equalish( X, m
% 23.66/24.06 ), ~( element( X, m ) ) ] )
% 23.66/24.06 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6548, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X )
% 23.66/24.06 ), element( f( X ), m ), ~( element( X, f( X ) ) ), equalish( X, m ),
% 23.66/24.06 ~( element( X, m ) ) ] )
% 23.66/24.06 , clause( 6546, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X
% 23.66/24.06 ) ), equalish( X, m ), element( f( X ), m ), ~( element( X, f( X ) ) ),
% 23.66/24.06 equalish( X, m ), ~( element( X, m ) ) ] )
% 23.66/24.06 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6549, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X )
% 23.66/24.06 ), element( f( X ), m ), ~( element( X, f( X ) ) ), ~( element( X, m ) )
% 23.66/24.06 ] )
% 23.66/24.06 , clause( 6548, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X
% 23.66/24.06 ) ), element( f( X ), m ), ~( element( X, f( X ) ) ), equalish( X, m ),
% 23.66/24.06 ~( element( X, m ) ) ] )
% 23.66/24.06 , 0, 5, substitution( 0, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6550, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X )
% 23.66/24.06 ), element( f( X ), m ), ~( element( X, f( X ) ) ) ] )
% 23.66/24.06 , clause( 6549, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X
% 23.66/24.06 ) ), element( f( X ), m ), ~( element( X, f( X ) ) ), ~( element( X, m )
% 23.66/24.06 ) ] )
% 23.66/24.06 , 1, 5, substitution( 0, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 164, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X ), m
% 23.66/24.06 ), ~( element( X, m ) ), ~( element( X, f( X ) ) ) ] )
% 23.66/24.06 , clause( 6550, [ equalish( X, m ), ~( element( X, m ) ), equalish( X, f( X
% 23.66/24.06 ) ), element( f( X ), m ), ~( element( X, f( X ) ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 3 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 4 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6553, [ ~( equalish( X, n ) ), ~( equalish( X, n ) ), element( X, k
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 71, [ ~( equalish( X, k ) ), ~( equalish( X, n ) ) ] )
% 23.66/24.06 , 0, clause( 18, [ ~( equalish( X, n ) ), equalish( X, k ), element( X, k )
% 23.66/24.06 ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6554, [ ~( equalish( X, n ) ), element( X, k ) ] )
% 23.66/24.06 , clause( 6553, [ ~( equalish( X, n ) ), ~( equalish( X, n ) ), element( X
% 23.66/24.06 , k ) ] )
% 23.66/24.06 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 344, [ ~( equalish( X, n ) ), element( X, k ) ] )
% 23.66/24.06 , clause( 6554, [ ~( equalish( X, n ) ), element( X, k ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6555, [ ~( equalish( X, Y ) ), element( Y, k ), ~( equalish( X, n )
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 4, [ ~( equalish( X, Z ) ), element( Z, Y ), ~( element( X, Y ) )
% 23.66/24.06 ] )
% 23.66/24.06 , 2, clause( 344, [ ~( equalish( X, n ) ), element( X, k ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, k ), :=( Z, Y )] ),
% 23.66/24.06 substitution( 1, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 345, [ ~( equalish( X, n ) ), ~( equalish( X, Y ) ), element( Y, k
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 6555, [ ~( equalish( X, Y ) ), element( Y, k ), ~( equalish( X, n
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.66/24.06 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6557, [ ~( equalish( X, n ) ), element( n, k ) ] )
% 23.66/24.06 , clause( 345, [ ~( equalish( X, n ) ), ~( equalish( X, Y ) ), element( Y,
% 23.66/24.06 k ) ] )
% 23.66/24.06 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, n )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 347, [ ~( equalish( X, n ) ), element( n, k ) ] )
% 23.66/24.06 , clause( 6557, [ ~( equalish( X, n ) ), element( n, k ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6558, [ ~( equalish( n, X ) ), element( X, k ), ~( equalish( Y, n )
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 4, [ ~( equalish( X, Z ) ), element( Z, Y ), ~( element( X, Y ) )
% 23.66/24.06 ] )
% 23.66/24.06 , 2, clause( 347, [ ~( equalish( X, n ) ), element( n, k ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, n ), :=( Y, k ), :=( Z, X )] ),
% 23.66/24.06 substitution( 1, [ :=( X, Y )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 348, [ ~( equalish( X, n ) ), ~( equalish( n, Y ) ), element( Y, k
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 6558, [ ~( equalish( n, X ) ), element( X, k ), ~( equalish( Y, n
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 23.66/24.06 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6560, [ ~( equalish( n, n ) ), element( n, k ) ] )
% 23.66/24.06 , clause( 348, [ ~( equalish( X, n ) ), ~( equalish( n, Y ) ), element( Y,
% 23.66/24.06 k ) ] )
% 23.66/24.06 , 0, 1, substitution( 0, [ :=( X, n ), :=( Y, n )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6561, [ element( n, k ) ] )
% 23.66/24.06 , clause( 6560, [ ~( equalish( n, n ) ), element( n, k ) ] )
% 23.66/24.06 , 0, clause( 0, [ equalish( X, X ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, n )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 350, [ element( n, k ) ] )
% 23.66/24.06 , clause( 6561, [ element( n, k ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6562, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 , clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) )
% 23.66/24.06 ] )
% 23.66/24.06 , 2, clause( 350, [ element( n, k ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, k ), :=( Y, X ), :=( Z, n )] ),
% 23.66/24.06 substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 352, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 , clause( 6562, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6563, [ equalish( X, k ), equalish( X, n ), equalish( X, k ), ~(
% 23.66/24.06 element( X, k ) ) ] )
% 23.66/24.06 , clause( 42, [ equalish( X, k ), ~( equalish( X, m ) ) ] )
% 23.66/24.06 , 1, clause( 19, [ equalish( X, n ), equalish( X, m ), equalish( X, k ),
% 23.66/24.06 ~( element( X, k ) ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6564, [ equalish( X, k ), equalish( X, n ), ~( element( X, k ) ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6563, [ equalish( X, k ), equalish( X, n ), equalish( X, k ), ~(
% 23.66/24.06 element( X, k ) ) ] )
% 23.66/24.06 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 355, [ equalish( X, k ), equalish( X, n ), ~( element( X, k ) ) ]
% 23.66/24.06 )
% 23.66/24.06 , clause( 6564, [ equalish( X, k ), equalish( X, n ), ~( element( X, k ) )
% 23.66/24.06 ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 ), ==>( 2, 2 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6566, [ equalish( n, m ), element( f( n ), n ), ~( equalish( k, m )
% 23.66/24.06 ) ] )
% 23.66/24.06 , clause( 10, [ equalish( X, m ), element( f( X ), X ), ~( element( X, m )
% 23.66/24.06 ) ] )
% 23.66/24.06 , 2, clause( 352, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, n )] ), substitution( 1, [ :=( X, m )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6567, [ equalish( n, m ), element( f( n ), n ) ] )
% 23.66/24.06 , clause( 6566, [ equalish( n, m ), element( f( n ), n ), ~( equalish( k, m
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , 2, clause( 29, [ equalish( k, m ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 356, [ equalish( n, m ), element( f( n ), n ) ] )
% 23.66/24.06 , clause( 6567, [ equalish( n, m ), element( f( n ), n ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6569, [ ~( equalish( f( n ), n ) ), equalish( n, m ), ~( equalish(
% 23.66/24.06 k, m ) ) ] )
% 23.66/24.06 , clause( 8, [ ~( equalish( f( X ), X ) ), equalish( X, m ), ~( element( X
% 23.66/24.06 , m ) ) ] )
% 23.66/24.06 , 2, clause( 352, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, n )] ), substitution( 1, [ :=( X, m )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6570, [ ~( equalish( f( n ), n ) ), equalish( n, m ) ] )
% 23.66/24.06 , clause( 6569, [ ~( equalish( f( n ), n ) ), equalish( n, m ), ~( equalish(
% 23.66/24.06 k, m ) ) ] )
% 23.66/24.06 , 2, clause( 29, [ equalish( k, m ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 357, [ equalish( n, m ), ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , clause( 6570, [ ~( equalish( f( n ), n ) ), equalish( n, m ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6572, [ ~( equalish( f( n ), m ) ), equalish( n, m ), ~( equalish(
% 23.66/24.06 k, m ) ) ] )
% 23.66/24.06 , clause( 7, [ ~( equalish( f( X ), m ) ), equalish( X, m ), ~( element( X
% 23.66/24.06 , m ) ) ] )
% 23.66/24.06 , 2, clause( 352, [ ~( equalish( k, X ) ), element( n, X ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, n )] ), substitution( 1, [ :=( X, m )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6573, [ ~( equalish( f( n ), m ) ), equalish( n, m ) ] )
% 23.66/24.06 , clause( 6572, [ ~( equalish( f( n ), m ) ), equalish( n, m ), ~( equalish(
% 23.66/24.06 k, m ) ) ] )
% 23.66/24.06 , 2, clause( 29, [ equalish( k, m ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 358, [ equalish( n, m ), ~( equalish( f( n ), m ) ) ] )
% 23.66/24.06 , clause( 6573, [ ~( equalish( f( n ), m ) ), equalish( n, m ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6574, [ element( f( n ), n ) ] )
% 23.66/24.06 , clause( 45, [ ~( equalish( n, m ) ) ] )
% 23.66/24.06 , 0, clause( 356, [ equalish( n, m ), element( f( n ), n ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 360, [ element( f( n ), n ) ] )
% 23.66/24.06 , clause( 6574, [ element( f( n ), n ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6575, [ equalish( f( n ), n ), equalish( f( n ), m ), equalish( n,
% 23.66/24.06 m ), element( n, m ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , clause( 11, [ equalish( X, Y ), equalish( X, m ), equalish( Y, m ),
% 23.66/24.06 element( Y, m ), ~( element( X, Y ) ), ~( element( Y, X ) ) ] )
% 23.66/24.06 , 4, clause( 360, [ element( f( n ), n ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, f( n ) ), :=( Y, n )] ), substitution( 1, [] )
% 23.66/24.06 ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6577, [ equalish( n, m ), equalish( f( n ), m ), equalish( n, m ),
% 23.66/24.06 element( n, m ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , clause( 357, [ equalish( n, m ), ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , 1, clause( 6575, [ equalish( f( n ), n ), equalish( f( n ), m ), equalish(
% 23.66/24.06 n, m ), element( n, m ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 factor(
% 23.66/24.06 clause( 6578, [ equalish( n, m ), equalish( f( n ), m ), element( n, m ),
% 23.66/24.06 ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , clause( 6577, [ equalish( n, m ), equalish( f( n ), m ), equalish( n, m )
% 23.66/24.06 , element( n, m ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , 0, 2, substitution( 0, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 361, [ equalish( n, m ), equalish( f( n ), m ), element( n, m ),
% 23.66/24.06 ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , clause( 6578, [ equalish( n, m ), equalish( f( n ), m ), element( n, m )
% 23.66/24.06 , ~( element( n, f( n ) ) ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 23.66/24.06 , 2 ), ==>( 3, 3 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6579, [ ~( equalish( n, X ) ), element( f( n ), X ) ] )
% 23.66/24.06 , clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) )
% 23.66/24.06 ] )
% 23.66/24.06 , 2, clause( 360, [ element( f( n ), n ) ] )
% 23.66/24.06 , 0, substitution( 0, [ :=( X, n ), :=( Y, X ), :=( Z, f( n ) )] ),
% 23.66/24.06 substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 363, [ ~( equalish( n, X ) ), element( f( n ), X ) ] )
% 23.66/24.06 , clause( 6579, [ ~( equalish( n, X ) ), element( f( n ), X ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.06 1 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6580, [ ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , clause( 45, [ ~( equalish( n, m ) ) ] )
% 23.66/24.06 , 0, clause( 357, [ equalish( n, m ), ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 466, [ ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , clause( 6580, [ ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6581, [ ~( equalish( f( n ), X ) ), ~( equalish( n, X ) ) ] )
% 23.66/24.06 , clause( 466, [ ~( equalish( f( n ), n ) ) ] )
% 23.66/24.06 , 0, clause( 36, [ ~( equalish( X, Z ) ), ~( equalish( Y, Z ) ), equalish(
% 23.66/24.06 X, Y ) ] )
% 23.66/24.06 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, f( n ) ), :=( Y, n )
% 23.66/24.06 , :=( Z, X )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 470, [ ~( equalish( n, X ) ), ~( equalish( f( n ), X ) ) ] )
% 23.66/24.06 , clause( 6581, [ ~( equalish( f( n ), X ) ), ~( equalish( n, X ) ) ] )
% 23.66/24.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.06 0 )] ) ).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 resolution(
% 23.66/24.06 clause( 6582, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), element( T, Z
% 23.66/24.06 ), ~( equalish( U, X ) ), ~( element( T, U ) ) ] )
% 23.66/24.06 , clause( 50, [ ~( equalish( X, Y ) ), ~( equalish( Y, T ) ), element( Z, T
% 23.66/24.06 ), ~( element( Z, X ) ) ] )
% 23.66/24.06 , 3, clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X
% 23.66/24.06 ) ) ] )
% 23.66/24.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 23.66/24.06 substitution( 1, [ :=( X, U ), :=( Y, X ), :=( Z, T )] )).
% 23.66/24.06
% 23.66/24.06
% 23.66/24.06 subsumption(
% 23.66/24.06 clause( 482, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), ~( equalish( Z
% 23.66/24.07 , U ) ), element( T, U ), ~( element( T, X ) ) ] )
% 23.66/24.07 , clause( 6582, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), element( T
% 23.66/24.07 , Z ), ~( equalish( U, X ) ), ~( element( T, U ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, U ), :=( T, T ), :=( U
% 23.66/24.07 , X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3
% 23.66/24.07 , 0 ), ==>( 4, 4 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6588, [ ~( equalish( X, Y ) ), ~( equalish( Y, X ) ), element( Z, Y
% 23.66/24.07 ), ~( element( Z, X ) ) ] )
% 23.66/24.07 , clause( 482, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), ~( equalish(
% 23.66/24.07 Z, U ) ), element( T, U ), ~( element( T, X ) ) ] )
% 23.66/24.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z ),
% 23.66/24.07 :=( U, Y )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6594, [ ~( equalish( Y, X ) ), element( Z, Y ), ~( element( Z, X )
% 23.66/24.07 ), ~( equalish( Y, X ) ) ] )
% 23.66/24.07 , clause( 6588, [ ~( equalish( X, Y ) ), ~( equalish( Y, X ) ), element( Z
% 23.66/24.07 , Y ), ~( element( Z, X ) ) ] )
% 23.66/24.07 , 0, clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.66/24.07 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6596, [ ~( equalish( X, Y ) ), element( Z, X ), ~( element( Z, Y )
% 23.66/24.07 ) ] )
% 23.66/24.07 , clause( 6594, [ ~( equalish( Y, X ) ), element( Z, Y ), ~( element( Z, X
% 23.66/24.07 ) ), ~( equalish( Y, X ) ) ] )
% 23.66/24.07 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 483, [ ~( equalish( Y, X ) ), ~( element( Z, X ) ), element( Z, Y )
% 23.66/24.07 ] )
% 23.66/24.07 , clause( 6596, [ ~( equalish( X, Y ) ), element( Z, X ), ~( element( Z, Y
% 23.66/24.07 ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 23.66/24.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6598, [ ~( equalish( f( n ), m ) ), ~( equalish( f( n ), m ) ) ] )
% 23.66/24.07 , clause( 470, [ ~( equalish( n, X ) ), ~( equalish( f( n ), X ) ) ] )
% 23.66/24.07 , 0, clause( 358, [ equalish( n, m ), ~( equalish( f( n ), m ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, m )] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6599, [ ~( equalish( f( n ), m ) ) ] )
% 23.66/24.07 , clause( 6598, [ ~( equalish( f( n ), m ) ), ~( equalish( f( n ), m ) ) ]
% 23.66/24.07 )
% 23.66/24.07 , 0, 1, substitution( 0, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 528, [ ~( equalish( f( n ), m ) ) ] )
% 23.66/24.07 , clause( 6599, [ ~( equalish( f( n ), m ) ) ] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6600, [ ~( equalish( f( n ), k ) ) ] )
% 23.66/24.07 , clause( 528, [ ~( equalish( f( n ), m ) ) ] )
% 23.66/24.07 , 0, clause( 31, [ ~( equalish( X, k ) ), equalish( X, m ) ] )
% 23.66/24.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f( n ) )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 538, [ ~( equalish( f( n ), k ) ) ] )
% 23.66/24.07 , clause( 6600, [ ~( equalish( f( n ), k ) ) ] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6601, [ ~( equalish( X, k ) ), element( n, X ) ] )
% 23.66/24.07 , clause( 483, [ ~( equalish( Y, X ) ), ~( element( Z, X ) ), element( Z, Y
% 23.66/24.07 ) ] )
% 23.66/24.07 , 1, clause( 350, [ element( n, k ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, k ), :=( Y, X ), :=( Z, n )] ),
% 23.66/24.07 substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 642, [ ~( equalish( X, k ) ), element( n, X ) ] )
% 23.66/24.07 , clause( 6601, [ ~( equalish( X, k ) ), element( n, X ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.07 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6602, [ equalish( X, k ), equalish( X, n ), ~( equalish( Y, Z ) ),
% 23.66/24.07 ~( equalish( Z, k ) ), ~( element( X, Y ) ) ] )
% 23.66/24.07 , clause( 355, [ equalish( X, k ), equalish( X, n ), ~( element( X, k ) ) ]
% 23.66/24.07 )
% 23.66/24.07 , 2, clause( 50, [ ~( equalish( X, Y ) ), ~( equalish( Y, T ) ), element( Z
% 23.66/24.07 , T ), ~( element( Z, X ) ) ] )
% 23.66/24.07 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 23.66/24.07 , Z ), :=( Z, X ), :=( T, k )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 905, [ equalish( X, k ), ~( equalish( Z, k ) ), ~( equalish( Y, Z )
% 23.66/24.07 ), equalish( X, n ), ~( element( X, Y ) ) ] )
% 23.66/24.07 , clause( 6602, [ equalish( X, k ), equalish( X, n ), ~( equalish( Y, Z ) )
% 23.66/24.07 , ~( equalish( Z, k ) ), ~( element( X, Y ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.66/24.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 1 ),
% 23.66/24.07 ==>( 4, 4 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6604, [ equalish( n, m ), ~( equalish( f( n ), X ) ), element( n, X
% 23.66/24.07 ), ~( equalish( m, k ) ) ] )
% 23.66/24.07 , clause( 107, [ equalish( X, m ), ~( equalish( f( X ), Y ) ), element( X,
% 23.66/24.07 Y ), ~( element( X, m ) ) ] )
% 23.66/24.07 , 3, clause( 642, [ ~( equalish( X, k ) ), element( n, X ) ] )
% 23.66/24.07 , 1, substitution( 0, [ :=( X, n ), :=( Y, X )] ), substitution( 1, [ :=( X
% 23.66/24.07 , m )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6605, [ ~( equalish( m, k ) ), ~( equalish( f( n ), X ) ), element(
% 23.66/24.07 n, X ), ~( equalish( m, k ) ) ] )
% 23.66/24.07 , clause( 39, [ ~( equalish( n, X ) ), ~( equalish( X, k ) ) ] )
% 23.66/24.07 , 0, clause( 6604, [ equalish( n, m ), ~( equalish( f( n ), X ) ), element(
% 23.66/24.07 n, X ), ~( equalish( m, k ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, m )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.07 ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6606, [ ~( equalish( m, k ) ), ~( equalish( f( n ), X ) ), element(
% 23.66/24.07 n, X ) ] )
% 23.66/24.07 , clause( 6605, [ ~( equalish( m, k ) ), ~( equalish( f( n ), X ) ),
% 23.66/24.07 element( n, X ), ~( equalish( m, k ) ) ] )
% 23.66/24.07 , 0, 3, substitution( 0, [ :=( X, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 1088, [ ~( equalish( f( n ), X ) ), ~( equalish( m, k ) ), element(
% 23.66/24.07 n, X ) ] )
% 23.66/24.07 , clause( 6606, [ ~( equalish( m, k ) ), ~( equalish( f( n ), X ) ),
% 23.66/24.07 element( n, X ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 23.66/24.07 0 ), ==>( 2, 2 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6607, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X ), m
% 23.66/24.07 ), ~( element( X, m ) ), ~( element( X, m ) ), equalish( X, m ) ] )
% 23.66/24.07 , clause( 164, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X ),
% 23.66/24.07 m ), ~( element( X, m ) ), ~( element( X, f( X ) ) ) ] )
% 23.66/24.07 , 4, clause( 9, [ ~( element( X, m ) ), equalish( X, m ), element( X, f( X
% 23.66/24.07 ) ) ] )
% 23.66/24.07 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.07 ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6608, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X ), m
% 23.66/24.07 ), ~( element( X, m ) ), ~( element( X, m ) ) ] )
% 23.66/24.07 , clause( 6607, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X )
% 23.66/24.07 , m ), ~( element( X, m ) ), ~( element( X, m ) ), equalish( X, m ) ] )
% 23.66/24.07 , 0, 5, substitution( 0, [ :=( X, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6609, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X ), m
% 23.66/24.07 ), ~( element( X, m ) ) ] )
% 23.66/24.07 , clause( 6608, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X )
% 23.66/24.07 , m ), ~( element( X, m ) ), ~( element( X, m ) ) ] )
% 23.66/24.07 , 3, 4, substitution( 0, [ :=( X, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 1597, [ equalish( X, m ), equalish( X, f( X ) ), ~( element( X, m )
% 23.66/24.07 ), element( f( X ), m ) ] )
% 23.66/24.07 , clause( 6609, [ equalish( X, m ), equalish( X, f( X ) ), element( f( X )
% 23.66/24.07 , m ), ~( element( X, m ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.07 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6610, [ ~( equalish( f( n ), X ) ), element( n, X ) ] )
% 23.66/24.07 , clause( 1088, [ ~( equalish( f( n ), X ) ), ~( equalish( m, k ) ),
% 23.66/24.07 element( n, X ) ] )
% 23.66/24.07 , 1, clause( 25, [ equalish( m, k ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 1598, [ ~( equalish( f( n ), X ) ), element( n, X ) ] )
% 23.66/24.07 , clause( 6610, [ ~( equalish( f( n ), X ) ), element( n, X ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.07 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6611, [ ~( equalish( X, Y ) ), element( n, Y ), ~( equalish( f( n )
% 23.66/24.07 , X ) ) ] )
% 23.66/24.07 , clause( 3, [ ~( equalish( X, Y ) ), element( Z, Y ), ~( element( Z, X ) )
% 23.66/24.07 ] )
% 23.66/24.07 , 2, clause( 1598, [ ~( equalish( f( n ), X ) ), element( n, X ) ] )
% 23.66/24.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, n )] ),
% 23.66/24.07 substitution( 1, [ :=( X, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 1608, [ ~( equalish( f( n ), X ) ), ~( equalish( X, Y ) ), element(
% 23.66/24.07 n, Y ) ] )
% 23.66/24.07 , clause( 6611, [ ~( equalish( X, Y ) ), element( n, Y ), ~( equalish( f( n
% 23.66/24.07 ), X ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.66/24.07 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6613, [ ~( equalish( f( n ), f( n ) ) ), element( n, f( n ) ) ] )
% 23.66/24.07 , clause( 1608, [ ~( equalish( f( n ), X ) ), ~( equalish( X, Y ) ),
% 23.66/24.07 element( n, Y ) ] )
% 23.66/24.07 , 0, 1, substitution( 0, [ :=( X, f( n ) ), :=( Y, f( n ) )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6614, [ element( n, f( n ) ) ] )
% 23.66/24.07 , clause( 6613, [ ~( equalish( f( n ), f( n ) ) ), element( n, f( n ) ) ]
% 23.66/24.07 )
% 23.66/24.07 , 0, clause( 0, [ equalish( X, X ) ] )
% 23.66/24.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, f( n ) )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 1609, [ element( n, f( n ) ) ] )
% 23.66/24.07 , clause( 6614, [ element( n, f( n ) ) ] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6615, [ equalish( f( n ), m ), element( n, m ), ~( element( n, f( n
% 23.66/24.07 ) ) ) ] )
% 23.66/24.07 , clause( 45, [ ~( equalish( n, m ) ) ] )
% 23.66/24.07 , 0, clause( 361, [ equalish( n, m ), equalish( f( n ), m ), element( n, m
% 23.66/24.07 ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6617, [ element( n, m ), element( n, m ), ~( element( n, f( n ) ) )
% 23.66/24.07 ] )
% 23.66/24.07 , clause( 1598, [ ~( equalish( f( n ), X ) ), element( n, X ) ] )
% 23.66/24.07 , 0, clause( 6615, [ equalish( f( n ), m ), element( n, m ), ~( element( n
% 23.66/24.07 , f( n ) ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, m )] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6618, [ element( n, m ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.07 , clause( 6617, [ element( n, m ), element( n, m ), ~( element( n, f( n ) )
% 23.66/24.07 ) ] )
% 23.66/24.07 , 0, 1, substitution( 0, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6619, [ element( n, m ) ] )
% 23.66/24.07 , clause( 6618, [ element( n, m ), ~( element( n, f( n ) ) ) ] )
% 23.66/24.07 , 1, clause( 1609, [ element( n, f( n ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 3652, [ element( n, m ) ] )
% 23.66/24.07 , clause( 6619, [ element( n, m ) ] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6620, [ ~( equalish( m, X ) ), ~( equalish( X, Y ) ), element( n, Y
% 23.66/24.07 ) ] )
% 23.66/24.07 , clause( 50, [ ~( equalish( X, Y ) ), ~( equalish( Y, T ) ), element( Z, T
% 23.66/24.07 ), ~( element( Z, X ) ) ] )
% 23.66/24.07 , 3, clause( 3652, [ element( n, m ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, m ), :=( Y, X ), :=( Z, n ), :=( T, Y )] ),
% 23.66/24.07 substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 3666, [ ~( equalish( m, X ) ), ~( equalish( X, Y ) ), element( n, Y
% 23.66/24.07 ) ] )
% 23.66/24.07 , clause( 6620, [ ~( equalish( m, X ) ), ~( equalish( X, Y ) ), element( n
% 23.66/24.07 , Y ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.66/24.07 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6622, [ ~( equalish( n, X ) ), element( X, m ) ] )
% 23.66/24.07 , clause( 4, [ ~( equalish( X, Z ) ), element( Z, Y ), ~( element( X, Y ) )
% 23.66/24.07 ] )
% 23.66/24.07 , 2, clause( 3652, [ element( n, m ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, n ), :=( Y, m ), :=( Z, X )] ),
% 23.66/24.07 substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 3667, [ ~( equalish( n, X ) ), element( X, m ) ] )
% 23.66/24.07 , clause( 6622, [ ~( equalish( n, X ) ), element( X, m ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.07 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6623, [ equalish( n, m ), equalish( n, f( n ) ), element( f( n ), m
% 23.66/24.07 ), ~( equalish( m, X ) ), ~( equalish( X, m ) ) ] )
% 23.66/24.07 , clause( 1597, [ equalish( X, m ), equalish( X, f( X ) ), ~( element( X, m
% 23.66/24.07 ) ), element( f( X ), m ) ] )
% 23.66/24.07 , 2, clause( 3666, [ ~( equalish( m, X ) ), ~( equalish( X, Y ) ), element(
% 23.66/24.07 n, Y ) ] )
% 23.66/24.07 , 2, substitution( 0, [ :=( X, n )] ), substitution( 1, [ :=( X, X ), :=( Y
% 23.66/24.07 , m )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6628, [ element( f( n ), m ), equalish( n, f( n ) ), element( f( n
% 23.66/24.07 ), m ), ~( equalish( m, X ) ), ~( equalish( X, m ) ) ] )
% 23.66/24.07 , clause( 363, [ ~( equalish( n, X ) ), element( f( n ), X ) ] )
% 23.66/24.07 , 0, clause( 6623, [ equalish( n, m ), equalish( n, f( n ) ), element( f( n
% 23.66/24.07 ), m ), ~( equalish( m, X ) ), ~( equalish( X, m ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, m )] ), substitution( 1, [ :=( X, X )] )
% 23.66/24.07 ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6630, [ element( f( n ), m ), equalish( n, f( n ) ), ~( equalish( m
% 23.66/24.07 , X ) ), ~( equalish( X, m ) ) ] )
% 23.66/24.07 , clause( 6628, [ element( f( n ), m ), equalish( n, f( n ) ), element( f(
% 23.66/24.07 n ), m ), ~( equalish( m, X ) ), ~( equalish( X, m ) ) ] )
% 23.66/24.07 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6118, [ equalish( n, f( n ) ), ~( equalish( m, X ) ), ~( equalish(
% 23.66/24.07 X, m ) ), element( f( n ), m ) ] )
% 23.66/24.07 , clause( 6630, [ element( f( n ), m ), equalish( n, f( n ) ), ~( equalish(
% 23.66/24.07 m, X ) ), ~( equalish( X, m ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 23.66/24.07 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6633, [ equalish( n, f( n ) ), ~( equalish( m, m ) ), element( f( n
% 23.66/24.07 ), m ) ] )
% 23.66/24.07 , clause( 6118, [ equalish( n, f( n ) ), ~( equalish( m, X ) ), ~( equalish(
% 23.66/24.07 X, m ) ), element( f( n ), m ) ] )
% 23.66/24.07 , 1, 2, substitution( 0, [ :=( X, m )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6634, [ element( f( n ), m ), ~( equalish( m, m ) ), element( f( n
% 23.66/24.07 ), m ) ] )
% 23.66/24.07 , clause( 3667, [ ~( equalish( n, X ) ), element( X, m ) ] )
% 23.66/24.07 , 0, clause( 6633, [ equalish( n, f( n ) ), ~( equalish( m, m ) ), element(
% 23.66/24.07 f( n ), m ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, f( n ) )] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6635, [ element( f( n ), m ), ~( equalish( m, m ) ) ] )
% 23.66/24.07 , clause( 6634, [ element( f( n ), m ), ~( equalish( m, m ) ), element( f(
% 23.66/24.07 n ), m ) ] )
% 23.66/24.07 , 0, 2, substitution( 0, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6124, [ ~( equalish( m, m ) ), element( f( n ), m ) ] )
% 23.66/24.07 , clause( 6635, [ element( f( n ), m ), ~( equalish( m, m ) ) ] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 23.66/24.07 ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6636, [ element( f( n ), m ) ] )
% 23.66/24.07 , clause( 6124, [ ~( equalish( m, m ) ), element( f( n ), m ) ] )
% 23.66/24.07 , 0, clause( 0, [ equalish( X, X ) ] )
% 23.66/24.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, m )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6125, [ element( f( n ), m ) ] )
% 23.66/24.07 , clause( 6636, [ element( f( n ), m ) ] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6637, [ ~( equalish( X, m ) ), element( f( n ), X ) ] )
% 23.66/24.07 , clause( 483, [ ~( equalish( Y, X ) ), ~( element( Z, X ) ), element( Z, Y
% 23.66/24.07 ) ] )
% 23.66/24.07 , 1, clause( 6125, [ element( f( n ), m ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, m ), :=( Y, X ), :=( Z, f( n ) )] ),
% 23.66/24.07 substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6196, [ ~( equalish( X, m ) ), element( f( n ), X ) ] )
% 23.66/24.07 , clause( 6637, [ ~( equalish( X, m ) ), element( f( n ), X ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.07 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6638, [ equalish( f( n ), k ), ~( equalish( X, k ) ), ~( equalish(
% 23.66/24.07 Y, X ) ), equalish( f( n ), n ), ~( equalish( Y, m ) ) ] )
% 23.66/24.07 , clause( 905, [ equalish( X, k ), ~( equalish( Z, k ) ), ~( equalish( Y, Z
% 23.66/24.07 ) ), equalish( X, n ), ~( element( X, Y ) ) ] )
% 23.66/24.07 , 4, clause( 6196, [ ~( equalish( X, m ) ), element( f( n ), X ) ] )
% 23.66/24.07 , 1, substitution( 0, [ :=( X, f( n ) ), :=( Y, Y ), :=( Z, X )] ),
% 23.66/24.07 substitution( 1, [ :=( X, Y )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6643, [ ~( equalish( X, k ) ), ~( equalish( Y, X ) ), equalish( f(
% 23.66/24.07 n ), n ), ~( equalish( Y, m ) ) ] )
% 23.66/24.07 , clause( 538, [ ~( equalish( f( n ), k ) ) ] )
% 23.66/24.07 , 0, clause( 6638, [ equalish( f( n ), k ), ~( equalish( X, k ) ), ~(
% 23.66/24.07 equalish( Y, X ) ), equalish( f( n ), n ), ~( equalish( Y, m ) ) ] )
% 23.66/24.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 23.66/24.07 ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6380, [ ~( equalish( Y, k ) ), ~( equalish( X, m ) ), equalish( f(
% 23.66/24.07 n ), n ), ~( equalish( X, Y ) ) ] )
% 23.66/24.07 , clause( 6643, [ ~( equalish( X, k ) ), ~( equalish( Y, X ) ), equalish( f(
% 23.66/24.07 n ), n ), ~( equalish( Y, m ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 23.66/24.07 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 factor(
% 23.66/24.07 clause( 6647, [ ~( equalish( m, k ) ), ~( equalish( X, m ) ), equalish( f(
% 23.66/24.07 n ), n ) ] )
% 23.66/24.07 , clause( 6380, [ ~( equalish( Y, k ) ), ~( equalish( X, m ) ), equalish( f(
% 23.66/24.07 n ), n ), ~( equalish( X, Y ) ) ] )
% 23.66/24.07 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, m )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6648, [ ~( equalish( X, m ) ), equalish( f( n ), n ) ] )
% 23.66/24.07 , clause( 6647, [ ~( equalish( m, k ) ), ~( equalish( X, m ) ), equalish( f(
% 23.66/24.07 n ), n ) ] )
% 23.66/24.07 , 0, clause( 25, [ equalish( m, k ) ] )
% 23.66/24.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6398, [ ~( equalish( X, m ) ), equalish( f( n ), n ) ] )
% 23.66/24.07 , clause( 6648, [ ~( equalish( X, m ) ), equalish( f( n ), n ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 23.66/24.07 1 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6649, [ ~( equalish( X, m ) ) ] )
% 23.66/24.07 , clause( 466, [ ~( equalish( f( n ), n ) ) ] )
% 23.66/24.07 , 0, clause( 6398, [ ~( equalish( X, m ) ), equalish( f( n ), n ) ] )
% 23.66/24.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6399, [ ~( equalish( X, m ) ) ] )
% 23.66/24.07 , clause( 6649, [ ~( equalish( X, m ) ) ] )
% 23.66/24.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6650, [ ~( equalish( k, m ) ) ] )
% 23.66/24.07 , clause( 6399, [ ~( equalish( X, m ) ) ] )
% 23.66/24.07 , 0, clause( 43, [ ~( equalish( k, X ) ), equalish( m, X ) ] )
% 23.66/24.07 , 1, substitution( 0, [ :=( X, m )] ), substitution( 1, [ :=( X, m )] )
% 23.66/24.07 ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 resolution(
% 23.66/24.07 clause( 6651, [] )
% 23.66/24.07 , clause( 6650, [ ~( equalish( k, m ) ) ] )
% 23.66/24.07 , 0, clause( 29, [ equalish( k, m ) ] )
% 23.66/24.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 subsumption(
% 23.66/24.07 clause( 6415, [] )
% 23.66/24.07 , clause( 6651, [] )
% 23.66/24.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 end.
% 23.66/24.07
% 23.66/24.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 23.66/24.07
% 23.66/24.07 Memory use:
% 23.66/24.07
% 23.66/24.07 space for terms: 104067
% 23.66/24.07 space for clauses: 225333
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 clauses generated: 1558315
% 23.66/24.07 clauses kept: 6416
% 23.66/24.07 clauses selected: 2918
% 23.66/24.07 clauses deleted: 1664
% 23.66/24.07 clauses inuse deleted: 629
% 23.66/24.07
% 23.66/24.07 subsentry: 8414481
% 23.66/24.07 literals s-matched: 5515596
% 23.66/24.07 literals matched: 5414504
% 23.66/24.07 full subsumption: 4913093
% 23.66/24.07
% 23.66/24.07 checksum: -1848120465
% 23.66/24.07
% 23.66/24.07
% 23.66/24.07 Bliksem ended
%------------------------------------------------------------------------------