TSTP Solution File: ALG012-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG012-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 14 12:09:04 EDT 2022
% Result : Unsatisfiable 2.66s 3.09s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG012-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 7 22:54:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.66/3.09 *** allocated 10000 integers for termspace/termends
% 2.66/3.09 *** allocated 10000 integers for clauses
% 2.66/3.09 *** allocated 10000 integers for justifications
% 2.66/3.09 Bliksem 1.12
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Automatic Strategy Selection
% 2.66/3.09
% 2.66/3.09 Clauses:
% 2.66/3.09 [
% 2.66/3.09 [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ],
% 2.66/3.09 [ c( X ), d1( X ), d2( X ) ],
% 2.66/3.09 [ ~( c( X ) ), ~( d1( X ) ) ],
% 2.66/3.09 [ ~( c( X ) ), ~( d2( X ) ) ],
% 2.66/3.09 [ ~( d1( X ) ), ~( d2( X ) ) ],
% 2.66/3.09 [ c( a1 ) ],
% 2.66/3.09 [ d1( a2 ) ],
% 2.66/3.09 [ d2( a3 ) ],
% 2.66/3.09 [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ],
% 2.66/3.09 [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ],
% 2.66/3.09 [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ]
% 2.66/3.09 ] .
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 percentage equality = 0.043478, percentage horn = 0.818182
% 2.66/3.09 This is a problem with some equality
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Options Used:
% 2.66/3.09
% 2.66/3.09 useres = 1
% 2.66/3.09 useparamod = 1
% 2.66/3.09 useeqrefl = 1
% 2.66/3.09 useeqfact = 1
% 2.66/3.09 usefactor = 1
% 2.66/3.09 usesimpsplitting = 0
% 2.66/3.09 usesimpdemod = 5
% 2.66/3.09 usesimpres = 3
% 2.66/3.09
% 2.66/3.09 resimpinuse = 1000
% 2.66/3.09 resimpclauses = 20000
% 2.66/3.09 substype = eqrewr
% 2.66/3.09 backwardsubs = 1
% 2.66/3.09 selectoldest = 5
% 2.66/3.09
% 2.66/3.09 litorderings [0] = split
% 2.66/3.09 litorderings [1] = extend the termordering, first sorting on arguments
% 2.66/3.09
% 2.66/3.09 termordering = kbo
% 2.66/3.09
% 2.66/3.09 litapriori = 0
% 2.66/3.09 termapriori = 1
% 2.66/3.09 litaposteriori = 0
% 2.66/3.09 termaposteriori = 0
% 2.66/3.09 demodaposteriori = 0
% 2.66/3.09 ordereqreflfact = 0
% 2.66/3.09
% 2.66/3.09 litselect = negord
% 2.66/3.09
% 2.66/3.09 maxweight = 15
% 2.66/3.09 maxdepth = 30000
% 2.66/3.09 maxlength = 115
% 2.66/3.09 maxnrvars = 195
% 2.66/3.09 excuselevel = 1
% 2.66/3.09 increasemaxweight = 1
% 2.66/3.09
% 2.66/3.09 maxselected = 10000000
% 2.66/3.09 maxnrclauses = 10000000
% 2.66/3.09
% 2.66/3.09 showgenerated = 0
% 2.66/3.09 showkept = 0
% 2.66/3.09 showselected = 0
% 2.66/3.09 showdeleted = 0
% 2.66/3.09 showresimp = 1
% 2.66/3.09 showstatus = 2000
% 2.66/3.09
% 2.66/3.09 prologoutput = 1
% 2.66/3.09 nrgoals = 5000000
% 2.66/3.09 totalproof = 1
% 2.66/3.09
% 2.66/3.09 Symbols occurring in the translation:
% 2.66/3.09
% 2.66/3.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.66/3.09 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 2.66/3.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 2.66/3.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.66/3.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.66/3.09 f [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.66/3.09 c [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.66/3.09 d1 [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.66/3.09 d2 [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.66/3.09 a1 [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 2.66/3.09 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.66/3.09 a3 [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Starting Search:
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Intermediate Status:
% 2.66/3.09 Generated: 7502
% 2.66/3.09 Kept: 2003
% 2.66/3.09 Inuse: 157
% 2.66/3.09 Deleted: 3
% 2.66/3.09 Deletedinuse: 0
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Intermediate Status:
% 2.66/3.09 Generated: 15888
% 2.66/3.09 Kept: 4004
% 2.66/3.09 Inuse: 232
% 2.66/3.09 Deleted: 6
% 2.66/3.09 Deletedinuse: 2
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Intermediate Status:
% 2.66/3.09 Generated: 24140
% 2.66/3.09 Kept: 6034
% 2.66/3.09 Inuse: 298
% 2.66/3.09 Deleted: 8
% 2.66/3.09 Deletedinuse: 2
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09 Resimplifying inuse:
% 2.66/3.09 Done
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 Bliksems!, er is een bewijs:
% 2.66/3.09 % SZS status Unsatisfiable
% 2.66/3.09 % SZS output start Refutation
% 2.66/3.09
% 2.66/3.09 clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 5, [ c( a1 ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6, [ d1( a2 ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 7, [ d2( a3 ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ]
% 2.66/3.09 )
% 2.66/3.09 .
% 2.66/3.09 clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 10, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 13, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 17, [ ~( c( a3 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 20, [ ~( d2( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 22, [ ~( d2( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 23, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 24, [ c( f( f( f( X, Y ), X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 25, [ ~( c( X ) ), ~( c( Y ) ), ~( c( f( X, Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 29, [ d2( f( X, a1 ) ), d1( f( X, a1 ) ), ~( c( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 30, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( X ) )
% 2.66/3.09 , ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 31, [ ~( c( X ) ), ~( c( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 33, [ ~( c( X ) ), d2( f( f( X, a3 ), a3 ) ), d1( f( f( X, a3 ), a3
% 2.66/3.09 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 42, [ ~( d1( X ) ), ~( d1( Y ) ), d2( f( f( X, Y ), Z ) ), d1( f( f(
% 2.66/3.09 X, Y ), Z ) ), ~( c( Z ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 43, [ ~( d1( X ) ), ~( d1( Y ) ), ~( c( Z ) ), d2( f( f( Z, X ), Y
% 2.66/3.09 ) ), d1( f( f( Z, X ), Y ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 46, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d1( f( X, Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 48, [ c( f( X, Y ) ), ~( d1( X ) ), c( Y ), d2( Y ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 49, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 51, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 54, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 55, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 60, [ ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 61, [ ~( d1( f( a2, a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 62, [ ~( d1( f( X, Y ) ) ), ~( d1( f( f( f( X, Y ), X ), Y ) ) ) ]
% 2.66/3.09 )
% 2.66/3.09 .
% 2.66/3.09 clause( 76, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), d1( Y ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 78, [ c( f( a3, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 79, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 87, [ ~( d2( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 88, [ c( f( f( a3, X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 96, [ ~( d2( f( X, Y ) ) ), ~( d2( f( f( a3, X ), Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 100, [ ~( d2( X ) ), ~( d1( f( X, a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 101, [ c( f( X, a3 ) ), c( X ), d1( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 102, [ ~( d2( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 113, [ ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 114, [ ~( d2( f( a2, a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 116, [ c( f( a2, a2 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 146, [ ~( d1( X ) ), ~( d1( f( X, a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 151, [ ~( d1( f( X, a2 ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 205, [ ~( d1( X ) ), ~( d1( f( Y, Z ) ) ), ~( d2( f( f( X, Y ), Z )
% 2.66/3.09 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 231, [ ~( c( X ) ), ~( c( f( f( a3, a3 ), X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 238, [ ~( c( X ) ), ~( c( f( X, a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 250, [ ~( c( f( a1, X ) ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 252, [ ~( c( f( f( a1, a2 ), a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 257, [ ~( c( f( a1, X ) ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 260, [ ~( c( f( f( a1, a3 ), a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 262, [ ~( c( f( a1, X ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 265, [ ~( c( f( f( X, a1 ), X ) ) ), ~( d2( f( X, a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 297, [ ~( d1( f( a1, a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 301, [ c( f( a1, a2 ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 304, [ ~( d2( f( a1, a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 409, [ ~( c( f( f( a1, X ), Y ) ) ), ~( d2( f( f( f( X, Y ), X ), Y
% 2.66/3.09 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 448, [ ~( c( X ) ), ~( c( f( f( Y, X ), Y ) ) ), ~( c( f( f( a1, X
% 2.66/3.09 ), Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 456, [ ~( c( X ) ), ~( c( f( Y, a3 ) ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 457, [ ~( c( f( X, a3 ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 462, [ ~( c( X ) ), ~( c( f( f( a1, X ), a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 674, [ ~( c( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 706, [ ~( d2( f( X, a3 ) ) ), d1( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 1204, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( c( Y ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 1235, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( d1( f( Y, a2 ) ) ),
% 2.66/3.09 d2( Y ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 1279, [ ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2129, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2137, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( Z, Y ) ), ~( d1(
% 2.66/3.09 Z ) ), d2( Y ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2197, [ ~( d1( f( X, a1 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2213, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), d2( Y ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2302, [ ~( d1( X ) ), ~( d2( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2563, [ ~( d1( X ) ), ~( d1( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 2664, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 3884, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), c( f( f( Y, a1 ), a3
% 2.66/3.09 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 3937, [ ~( d2( f( a3, a1 ) ) ), c( a3 ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 3939, [ ~( d2( f( a3, a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 3949, [ ~( d1( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 4139, [ ~( c( f( f( f( a1, a3 ), a3 ), a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 4654, [ ~( c( f( a3, X ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 5066, [ ~( c( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 5192, [ ~( d2( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 5358, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6788, [ ~( d1( f( f( a1, a3 ), a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6809, [ ~( c( a1 ) ), ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6810, [ ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6823, [ d1( f( a1, a3 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6847, [ ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 6853, [ ~( d1( X ) ), c( f( f( X, a3 ), a1 ) ) ] )
% 2.66/3.09 .
% 2.66/3.09 clause( 7697, [] )
% 2.66/3.09 .
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 % SZS output end Refutation
% 2.66/3.09 found a proof!
% 2.66/3.09
% 2.66/3.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.66/3.09
% 2.66/3.09 initialclauses(
% 2.66/3.09 [ clause( 7699, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , clause( 7700, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , clause( 7701, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 7702, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 7703, [ ~( d1( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 7704, [ c( a1 ) ] )
% 2.66/3.09 , clause( 7705, [ d1( a2 ) ] )
% 2.66/3.09 , clause( 7706, [ d2( a3 ) ] )
% 2.66/3.09 , clause( 7707, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y )
% 2.66/3.09 ) ] )
% 2.66/3.09 , clause( 7708, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , clause( 7709, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 ] ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , clause( 7699, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , clause( 7700, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 7701, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 7702, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 5, [ c( a1 ) ] )
% 2.66/3.09 , clause( 7704, [ c( a1 ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 6, [ d1( a2 ) ] )
% 2.66/3.09 , clause( 7705, [ d1( a2 ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 7, [ d2( a3 ) ] )
% 2.66/3.09 , clause( 7706, [ d2( a3 ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , clause( 7707, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y )
% 2.66/3.09 ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , clause( 7708, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 10, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 , clause( 7709, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7726, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 10, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 13, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 7726, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7727, [ ~( c( a3 ) ) ] )
% 2.66/3.09 , clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 1, clause( 7, [ d2( a3 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, a3 )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 17, [ ~( c( a3 ) ) ] )
% 2.66/3.09 , clause( 7727, [ ~( c( a3 ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7728, [ ~( d1( f( X, X ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, clause( 13, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, X ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 20, [ ~( d2( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7728, [ ~( d1( f( X, X ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7729, [ ~( d2( f( X, X ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, clause( 13, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, X ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 22, [ ~( d2( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7729, [ ~( d2( f( X, X ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7730, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 , clause( 13, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 1, clause( 7, [ d2( a3 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, a3 )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 23, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 , clause( 7730, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7732, [ c( f( f( f( X, Y ), X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 13, [ c( f( X, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 24, [ c( f( f( f( X, Y ), X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 7732, [ c( f( f( f( X, Y ), X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7733, [ ~( c( f( X, Y ) ) ), d2( f( X, Y ) ), ~( c( X ) ), ~( c( Y
% 2.66/3.09 ) ) ] )
% 2.66/3.09 , clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 1, clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y )
% 2.66/3.09 ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7737, [ ~( c( f( X, Y ) ) ), ~( c( f( X, Y ) ) ), ~( c( X ) ), ~( c(
% 2.66/3.09 Y ) ) ] )
% 2.66/3.09 , clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 1, clause( 7733, [ ~( c( f( X, Y ) ) ), d2( f( X, Y ) ), ~( c( X ) ), ~(
% 2.66/3.09 c( Y ) ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7738, [ ~( c( f( X, Y ) ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 7737, [ ~( c( f( X, Y ) ) ), ~( c( f( X, Y ) ) ), ~( c( X ) ),
% 2.66/3.09 ~( c( Y ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 25, [ ~( c( X ) ), ~( c( Y ) ), ~( c( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 7738, [ ~( c( f( X, Y ) ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 2.66/3.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7741, [ d2( f( X, a1 ) ), d1( f( X, a1 ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , 3, clause( 5, [ c( a1 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, a1 )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 29, [ d2( f( X, a1 ) ), d1( f( X, a1 ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 7741, [ d2( f( X, a1 ) ), d1( f( X, a1 ) ), ~( c( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7744, [ d1( f( f( X, Y ), Z ) ), d2( f( X, f( Y, Z ) ) ), ~( c( X )
% 2.66/3.09 ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y )
% 2.66/3.09 ) ] )
% 2.66/3.09 , 1, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, f( Y, Z ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7745, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( X )
% 2.66/3.09 ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7744, [ d1( f( f( X, Y ), Z ) ), d2( f( X, f( Y, Z ) ) ), ~( c(
% 2.66/3.09 X ) ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , 1, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 30, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( X ) )
% 2.66/3.09 , ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , clause( 7745, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( X
% 2.66/3.09 ) ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7749, [ ~( c( X ) ), ~( c( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 25, [ ~( c( X ) ), ~( c( Y ) ), ~( c( f( X, Y ) ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 31, [ ~( c( X ) ), ~( c( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7749, [ ~( c( X ) ), ~( c( f( X, X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7753, [ d2( f( X, f( a3, a3 ) ) ), d1( f( X, f( a3, a3 ) ) ), ~( c(
% 2.66/3.09 X ) ) ] )
% 2.66/3.09 , clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , 3, clause( 23, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, f( a3, a3 ) )] ), substitution(
% 2.66/3.09 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7755, [ d1( f( f( X, a3 ), a3 ) ), d2( f( X, f( a3, a3 ) ) ), ~( c(
% 2.66/3.09 X ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7753, [ d2( f( X, f( a3, a3 ) ) ), d1( f( X, f( a3, a3 ) ) ),
% 2.66/3.09 ~( c( X ) ) ] )
% 2.66/3.09 , 1, 1, substitution( 0, [ :=( X, X ), :=( Y, a3 ), :=( Z, a3 )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7757, [ d2( f( f( X, a3 ), a3 ) ), d1( f( f( X, a3 ), a3 ) ), ~( c(
% 2.66/3.09 X ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7755, [ d1( f( f( X, a3 ), a3 ) ), d2( f( X, f( a3, a3 ) ) ),
% 2.66/3.09 ~( c( X ) ) ] )
% 2.66/3.09 , 1, 1, substitution( 0, [ :=( X, X ), :=( Y, a3 ), :=( Z, a3 )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 33, [ ~( c( X ) ), d2( f( f( X, a3 ), a3 ) ), d1( f( f( X, a3 ), a3
% 2.66/3.09 ) ) ] )
% 2.66/3.09 , clause( 7757, [ d2( f( f( X, a3 ), a3 ) ), d1( f( f( X, a3 ), a3 ) ), ~(
% 2.66/3.09 c( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 2 ), ==>( 2, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7762, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( Z )
% 2.66/3.09 ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , 2, clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, Z )] ), substitution( 1
% 2.66/3.09 , [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 42, [ ~( d1( X ) ), ~( d1( Y ) ), d2( f( f( X, Y ), Z ) ), d1( f( f(
% 2.66/3.09 X, Y ), Z ) ), ~( c( Z ) ) ] )
% 2.66/3.09 , clause( 7762, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( Z
% 2.66/3.09 ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 4 ), ==>( 3, 0 ),
% 2.66/3.09 ==>( 4, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7776, [ d2( f( X, f( Y, Z ) ) ), d1( f( X, f( Y, Z ) ) ), ~( c( X )
% 2.66/3.09 ), ~( d1( Y ) ), ~( d1( Z ) ) ] )
% 2.66/3.09 , clause( 8, [ d2( f( X, Y ) ), d1( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , 3, clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, f( Y, Z ) )] ), substitution( 1
% 2.66/3.09 , [ :=( X, Y ), :=( Y, Z )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7785, [ d1( f( f( X, Y ), Z ) ), d2( f( X, f( Y, Z ) ) ), ~( c( X )
% 2.66/3.09 ), ~( d1( Y ) ), ~( d1( Z ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7776, [ d2( f( X, f( Y, Z ) ) ), d1( f( X, f( Y, Z ) ) ), ~( c(
% 2.66/3.09 X ) ), ~( d1( Y ) ), ~( d1( Z ) ) ] )
% 2.66/3.09 , 1, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7791, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( X )
% 2.66/3.09 ), ~( d1( Y ) ), ~( d1( Z ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7785, [ d1( f( f( X, Y ), Z ) ), d2( f( X, f( Y, Z ) ) ), ~( c(
% 2.66/3.09 X ) ), ~( d1( Y ) ), ~( d1( Z ) ) ] )
% 2.66/3.09 , 1, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 43, [ ~( d1( X ) ), ~( d1( Y ) ), ~( c( Z ) ), d2( f( f( Z, X ), Y
% 2.66/3.09 ) ), d1( f( f( Z, X ), Y ) ) ] )
% 2.66/3.09 , clause( 7791, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c( X
% 2.66/3.09 ) ), ~( d1( Y ) ), ~( d1( Z ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 4 ), ==>( 2, 2 ), ==>( 3, 0 ),
% 2.66/3.09 ==>( 4, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7793, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 46, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d1( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 7793, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 2.66/3.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7796, [ c( f( X, Y ) ), ~( d1( X ) ), c( Y ), d2( Y ) ] )
% 2.66/3.09 , clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , 2, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 48, [ c( f( X, Y ) ), ~( d1( X ) ), c( Y ), d2( Y ) ] )
% 2.66/3.09 , clause( 7796, [ c( f( X, Y ) ), ~( d1( X ) ), c( Y ), d2( Y ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7797, [ ~( d2( f( X, Y ) ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 49, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 7797, [ ~( d2( f( X, Y ) ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 2.66/3.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7800, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 9, [ c( f( X, Y ) ), ~( d1( X ) ), ~( d1( Y ) ) ] )
% 2.66/3.09 , 2, clause( 6, [ d1( a2 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, a2 )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 51, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 7800, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7801, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 49, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 54, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7801, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7802, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 46, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d1( f( X, Y ) ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 55, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7802, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7803, [ ~( d1( f( X, X ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , clause( 55, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7805, [ ~( d1( f( X, X ) ) ), ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , clause( 20, [ ~( d2( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 7803, [ ~( d1( f( X, X ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7806, [ ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , clause( 7805, [ ~( d1( f( X, X ) ) ), ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 60, [ ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , clause( 7806, [ ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7807, [ ~( d1( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , clause( 55, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 6, [ d1( a2 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 61, [ ~( d1( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , clause( 7807, [ ~( d1( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7809, [ ~( d1( f( f( f( X, Y ), X ), Y ) ) ), ~( d1( f( X, Y ) ) )
% 2.66/3.09 ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 55, [ ~( d1( X ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 62, [ ~( d1( f( X, Y ) ) ), ~( d1( f( f( f( X, Y ), X ), Y ) ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , clause( 7809, [ ~( d1( f( f( f( X, Y ), X ), Y ) ) ), ~( d1( f( X, Y ) )
% 2.66/3.09 ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.66/3.09 ), ==>( 1, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7811, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), d1( Y ) ] )
% 2.66/3.09 , clause( 10, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 , 2, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 76, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), d1( Y ) ] )
% 2.66/3.09 , clause( 7811, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), d1( Y ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7812, [ c( f( a3, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 10, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 , 1, clause( 7, [ d2( a3 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, a3 ), :=( Y, X )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 78, [ c( f( a3, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 7812, [ c( f( a3, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7815, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 10, [ c( f( X, Y ) ), ~( d2( X ) ), ~( d2( Y ) ) ] )
% 2.66/3.09 , 2, clause( 7, [ d2( a3 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, a3 )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 79, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 7815, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7816, [ ~( d2( f( a3, X ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, clause( 78, [ c( f( a3, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( a3, X ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 87, [ ~( d2( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.09 , clause( 7816, [ ~( d2( f( a3, X ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7818, [ c( f( f( a3, X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 78, [ c( f( a3, X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, a3 ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 88, [ c( f( f( a3, X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 7818, [ c( f( f( a3, X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7820, [ ~( d2( f( f( a3, X ), Y ) ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 87, [ ~( d2( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, a3 ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 96, [ ~( d2( f( X, Y ) ) ), ~( d2( f( f( a3, X ), Y ) ) ) ] )
% 2.66/3.09 , clause( 7820, [ ~( d2( f( f( a3, X ), Y ) ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.66/3.09 ), ==>( 1, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7821, [ ~( d1( f( X, a3 ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, clause( 79, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, a3 ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 100, [ ~( d2( X ) ), ~( d1( f( X, a3 ) ) ) ] )
% 2.66/3.09 , clause( 7821, [ ~( d1( f( X, a3 ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7822, [ c( f( X, a3 ) ), c( X ), d1( X ) ] )
% 2.66/3.09 , clause( 79, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 1, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 101, [ c( f( X, a3 ) ), c( X ), d1( X ) ] )
% 2.66/3.09 , clause( 7822, [ c( f( X, a3 ) ), c( X ), d1( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7823, [ ~( d2( f( X, a3 ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , clause( 3, [ ~( c( X ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, clause( 79, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, a3 ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 102, [ ~( d2( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 , clause( 7823, [ ~( d2( f( X, a3 ) ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7824, [ ~( d2( f( X, X ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , clause( 54, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7826, [ ~( d2( f( X, X ) ) ), ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , clause( 22, [ ~( d2( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 7824, [ ~( d2( f( X, X ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7827, [ ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , clause( 7826, [ ~( d2( f( X, X ) ) ), ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 113, [ ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , clause( 7827, [ ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7828, [ ~( d2( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , clause( 54, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 6, [ d1( a2 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 114, [ ~( d2( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , clause( 7828, [ ~( d2( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7829, [ c( f( a2, a2 ) ), d1( f( a2, a2 ) ) ] )
% 2.66/3.09 , clause( 114, [ ~( d2( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, f( a2, a2 ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7830, [ c( f( a2, a2 ) ) ] )
% 2.66/3.09 , clause( 61, [ ~( d1( f( a2, a2 ) ) ) ] )
% 2.66/3.09 , 0, clause( 7829, [ c( f( a2, a2 ) ), d1( f( a2, a2 ) ) ] )
% 2.66/3.09 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 116, [ c( f( a2, a2 ) ) ] )
% 2.66/3.09 , clause( 7830, [ c( f( a2, a2 ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7831, [ ~( d1( f( X, a2 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, clause( 51, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, a2 ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 146, [ ~( d1( X ) ), ~( d1( f( X, a2 ) ) ) ] )
% 2.66/3.09 , clause( 7831, [ ~( d1( f( X, a2 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7832, [ ~( d1( f( X, a2 ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , clause( 146, [ ~( d1( X ) ), ~( d1( f( X, a2 ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 151, [ ~( d1( f( X, a2 ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , clause( 7832, [ ~( d1( f( X, a2 ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7835, [ ~( d2( f( f( X, Y ), Z ) ) ), ~( d1( X ) ), ~( d1( f( Y, Z
% 2.66/3.09 ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 49, [ ~( d1( X ) ), ~( d1( Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , 2, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, f( Y, Z ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 205, [ ~( d1( X ) ), ~( d1( f( Y, Z ) ) ), ~( d2( f( f( X, Y ), Z )
% 2.66/3.09 ) ) ] )
% 2.66/3.09 , clause( 7835, [ ~( d2( f( f( X, Y ), Z ) ) ), ~( d1( X ) ), ~( d1( f( Y,
% 2.66/3.09 Z ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7837, [ ~( c( X ) ), ~( c( f( f( a3, a3 ), X ) ) ) ] )
% 2.66/3.09 , clause( 25, [ ~( c( X ) ), ~( c( Y ) ), ~( c( f( X, Y ) ) ) ] )
% 2.66/3.09 , 0, clause( 23, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( a3, a3 ) ), :=( Y, X )] ), substitution(
% 2.66/3.09 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 231, [ ~( c( X ) ), ~( c( f( f( a3, a3 ), X ) ) ) ] )
% 2.66/3.09 , clause( 7837, [ ~( c( X ) ), ~( c( f( f( a3, a3 ), X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7841, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , clause( 25, [ ~( c( X ) ), ~( c( Y ) ), ~( c( f( X, Y ) ) ) ] )
% 2.66/3.09 , 0, clause( 5, [ c( a1 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , clause( 7841, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7844, [ ~( c( X ) ), ~( c( f( X, a1 ) ) ) ] )
% 2.66/3.09 , clause( 25, [ ~( c( X ) ), ~( c( Y ) ), ~( c( f( X, Y ) ) ) ] )
% 2.66/3.09 , 1, clause( 5, [ c( a1 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, a1 )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 238, [ ~( c( X ) ), ~( c( f( X, a1 ) ) ) ] )
% 2.66/3.09 , clause( 7844, [ ~( c( X ) ), ~( c( f( X, a1 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7845, [ ~( c( f( a1, X ) ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 113, [ ~( d2( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 250, [ ~( c( f( a1, X ) ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7845, [ ~( c( f( a1, X ) ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7848, [ ~( c( f( a1, f( a2, a2 ) ) ) ) ] )
% 2.66/3.09 , clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 116, [ c( f( a2, a2 ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( a2, a2 ) )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7849, [ ~( c( f( f( a1, a2 ), a2 ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7848, [ ~( c( f( a1, f( a2, a2 ) ) ) ) ] )
% 2.66/3.09 , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, a2 ), :=( Z, a2 )] ),
% 2.66/3.09 substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 252, [ ~( c( f( f( a1, a2 ), a2 ) ) ) ] )
% 2.66/3.09 , clause( 7849, [ ~( c( f( f( a1, a2 ), a2 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7850, [ ~( c( f( a1, X ) ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 60, [ ~( d1( f( X, X ) ) ), c( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 257, [ ~( c( f( a1, X ) ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , clause( 7850, [ ~( c( f( a1, X ) ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7853, [ ~( c( f( a1, f( a3, a3 ) ) ) ) ] )
% 2.66/3.09 , clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 23, [ c( f( a3, a3 ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( a3, a3 ) )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7854, [ ~( c( f( f( a1, a3 ), a3 ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7853, [ ~( c( f( a1, f( a3, a3 ) ) ) ) ] )
% 2.66/3.09 , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, a3 ), :=( Z, a3 )] ),
% 2.66/3.09 substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 260, [ ~( c( f( f( a1, a3 ), a3 ) ) ) ] )
% 2.66/3.09 , clause( 7854, [ ~( c( f( f( a1, a3 ), a3 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7855, [ ~( c( f( a1, X ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.09 , clause( 237, [ ~( c( X ) ), ~( c( f( a1, X ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 262, [ ~( c( f( a1, X ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.09 , clause( 7855, [ ~( c( f( a1, X ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7858, [ ~( c( f( f( X, a1 ), X ) ) ), ~( d2( f( X, a1 ) ) ) ] )
% 2.66/3.09 , clause( 238, [ ~( c( X ) ), ~( c( f( X, a1 ) ) ) ] )
% 2.66/3.09 , 1, clause( 24, [ c( f( f( f( X, Y ), X ), Y ) ), ~( d2( f( X, Y ) ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( f( X, a1 ), X ) )] ), substitution( 1, [
% 2.66/3.09 :=( X, X ), :=( Y, a1 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 265, [ ~( c( f( f( X, a1 ), X ) ) ), ~( d2( f( X, a1 ) ) ) ] )
% 2.66/3.09 , clause( 7858, [ ~( c( f( f( X, a1 ), X ) ) ), ~( d2( f( X, a1 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7859, [ ~( d1( f( a1, a2 ) ) ) ] )
% 2.66/3.09 , clause( 252, [ ~( c( f( f( a1, a2 ), a2 ) ) ) ] )
% 2.66/3.09 , 0, clause( 51, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, f( a1, a2 ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 297, [ ~( d1( f( a1, a2 ) ) ) ] )
% 2.66/3.09 , clause( 7859, [ ~( d1( f( a1, a2 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7860, [ c( f( a1, a2 ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.09 , clause( 297, [ ~( d1( f( a1, a2 ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f( a1, a2 ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 301, [ c( f( a1, a2 ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.09 , clause( 7860, [ c( f( a1, a2 ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7861, [ ~( d2( f( a1, a3 ) ) ) ] )
% 2.66/3.09 , clause( 260, [ ~( c( f( f( a1, a3 ), a3 ) ) ) ] )
% 2.66/3.09 , 0, clause( 79, [ c( f( X, a3 ) ), ~( d2( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, f( a1, a3 ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 304, [ ~( d2( f( a1, a3 ) ) ) ] )
% 2.66/3.09 , clause( 7861, [ ~( d2( f( a1, a3 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7865, [ ~( d2( f( f( f( X, Y ), X ), Y ) ) ), ~( c( f( a1, f( X, Y
% 2.66/3.09 ) ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 250, [ ~( c( f( a1, X ) ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7867, [ ~( c( f( f( a1, X ), Y ) ) ), ~( d2( f( f( f( X, Y ), X ),
% 2.66/3.09 Y ) ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7865, [ ~( d2( f( f( f( X, Y ), X ), Y ) ) ), ~( c( f( a1, f(
% 2.66/3.09 X, Y ) ) ) ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, a1 ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 409, [ ~( c( f( f( a1, X ), Y ) ) ), ~( d2( f( f( f( X, Y ), X ), Y
% 2.66/3.09 ) ) ) ] )
% 2.66/3.09 , clause( 7867, [ ~( c( f( f( a1, X ), Y ) ) ), ~( d2( f( f( f( X, Y ), X )
% 2.66/3.09 , Y ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7871, [ ~( c( f( a1, f( X, Y ) ) ) ), d2( f( f( X, Y ), f( X, Y ) )
% 2.66/3.09 ), ~( c( X ) ), ~( c( f( Y, f( X, Y ) ) ) ) ] )
% 2.66/3.09 , clause( 257, [ ~( c( f( a1, X ) ) ), ~( d1( f( X, X ) ) ) ] )
% 2.66/3.09 , 1, clause( 30, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c(
% 2.66/3.09 X ) ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y ), :=( Z, f( X, Y ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7880, [ ~( c( f( f( X, Y ), X ) ) ), ~( c( f( a1, f( Y, X ) ) ) ),
% 2.66/3.09 d2( f( f( Y, X ), f( Y, X ) ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7871, [ ~( c( f( a1, f( X, Y ) ) ) ), d2( f( f( X, Y ), f( X,
% 2.66/3.09 Y ) ) ), ~( c( X ) ), ~( c( f( Y, f( X, Y ) ) ) ) ] )
% 2.66/3.09 , 3, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 2.66/3.09 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7889, [ d2( f( f( f( X, Y ), X ), Y ) ), ~( c( f( f( Y, X ), Y ) )
% 2.66/3.09 ), ~( c( f( a1, f( X, Y ) ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7880, [ ~( c( f( f( X, Y ), X ) ) ), ~( c( f( a1, f( Y, X ) )
% 2.66/3.09 ) ), d2( f( f( Y, X ), f( Y, X ) ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 2, 1, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7893, [ ~( c( f( f( a1, X ), Y ) ) ), d2( f( f( f( X, Y ), X ), Y )
% 2.66/3.09 ), ~( c( f( f( Y, X ), Y ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7889, [ d2( f( f( f( X, Y ), X ), Y ) ), ~( c( f( f( Y, X ), Y
% 2.66/3.09 ) ) ), ~( c( f( a1, f( X, Y ) ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , 2, 2, substitution( 0, [ :=( X, a1 ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7897, [ ~( c( f( f( a1, X ), Y ) ) ), ~( c( f( f( a1, X ), Y ) ) )
% 2.66/3.09 , ~( c( f( f( Y, X ), Y ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 409, [ ~( c( f( f( a1, X ), Y ) ) ), ~( d2( f( f( f( X, Y ), X )
% 2.66/3.09 , Y ) ) ) ] )
% 2.66/3.09 , 1, clause( 7893, [ ~( c( f( f( a1, X ), Y ) ) ), d2( f( f( f( X, Y ), X )
% 2.66/3.09 , Y ) ), ~( c( f( f( Y, X ), Y ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7898, [ ~( c( f( f( a1, X ), Y ) ) ), ~( c( f( f( Y, X ), Y ) ) ),
% 2.66/3.09 ~( c( X ) ) ] )
% 2.66/3.09 , clause( 7897, [ ~( c( f( f( a1, X ), Y ) ) ), ~( c( f( f( a1, X ), Y ) )
% 2.66/3.09 ), ~( c( f( f( Y, X ), Y ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 448, [ ~( c( X ) ), ~( c( f( f( Y, X ), Y ) ) ), ~( c( f( f( a1, X
% 2.66/3.09 ), Y ) ) ) ] )
% 2.66/3.09 , clause( 7898, [ ~( c( f( f( a1, X ), Y ) ) ), ~( c( f( f( Y, X ), Y ) ) )
% 2.66/3.09 , ~( c( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7901, [ ~( d2( f( X, Y ) ) ), d1( f( f( X, Y ), a3 ) ), ~( c( X ) )
% 2.66/3.09 , ~( c( f( Y, a3 ) ) ) ] )
% 2.66/3.09 , clause( 102, [ ~( d2( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 , 1, clause( 30, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c(
% 2.66/3.09 X ) ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y ), :=( Z, a3 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7906, [ ~( d2( f( X, Y ) ) ), ~( d2( f( X, Y ) ) ), ~( c( X ) ),
% 2.66/3.09 ~( c( f( Y, a3 ) ) ) ] )
% 2.66/3.09 , clause( 100, [ ~( d2( X ) ), ~( d1( f( X, a3 ) ) ) ] )
% 2.66/3.09 , 1, clause( 7901, [ ~( d2( f( X, Y ) ) ), d1( f( f( X, Y ), a3 ) ), ~( c(
% 2.66/3.09 X ) ), ~( c( f( Y, a3 ) ) ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7907, [ ~( d2( f( X, Y ) ) ), ~( c( X ) ), ~( c( f( Y, a3 ) ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , clause( 7906, [ ~( d2( f( X, Y ) ) ), ~( d2( f( X, Y ) ) ), ~( c( X ) ),
% 2.66/3.09 ~( c( f( Y, a3 ) ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 456, [ ~( c( X ) ), ~( c( f( Y, a3 ) ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 7907, [ ~( d2( f( X, Y ) ) ), ~( c( X ) ), ~( c( f( Y, a3 ) ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 2.66/3.09 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7909, [ ~( c( f( X, a3 ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.09 , clause( 456, [ ~( c( X ) ), ~( c( f( Y, a3 ) ) ), ~( d2( f( X, Y ) ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, f( X, a3 ) ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 457, [ ~( c( f( X, a3 ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.09 , clause( 7909, [ ~( c( f( X, a3 ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7910, [ ~( c( X ) ), ~( c( f( f( a1, X ), a1 ) ) ) ] )
% 2.66/3.09 , clause( 448, [ ~( c( X ) ), ~( c( f( f( Y, X ), Y ) ) ), ~( c( f( f( a1,
% 2.66/3.09 X ), Y ) ) ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, a1 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 462, [ ~( c( X ) ), ~( c( f( f( a1, X ), a1 ) ) ) ] )
% 2.66/3.09 , clause( 7910, [ ~( c( X ) ), ~( c( f( f( a1, X ), a1 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7912, [ ~( d2( f( X, a3 ) ) ), ~( c( X ) ), d1( f( f( X, a3 ), a3 )
% 2.66/3.09 ) ] )
% 2.66/3.09 , clause( 102, [ ~( d2( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 , 1, clause( 33, [ ~( c( X ) ), d2( f( f( X, a3 ), a3 ) ), d1( f( f( X, a3
% 2.66/3.09 ), a3 ) ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, f( X, a3 ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7914, [ ~( d2( f( X, a3 ) ) ), ~( d2( f( X, a3 ) ) ), ~( c( X ) ) ]
% 2.66/3.09 )
% 2.66/3.09 , clause( 100, [ ~( d2( X ) ), ~( d1( f( X, a3 ) ) ) ] )
% 2.66/3.09 , 1, clause( 7912, [ ~( d2( f( X, a3 ) ) ), ~( c( X ) ), d1( f( f( X, a3 )
% 2.66/3.09 , a3 ) ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, f( X, a3 ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7915, [ ~( d2( f( X, a3 ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 7914, [ ~( d2( f( X, a3 ) ) ), ~( d2( f( X, a3 ) ) ), ~( c( X ) )
% 2.66/3.09 ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 674, [ ~( c( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 , clause( 7915, [ ~( d2( f( X, a3 ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.09 0 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7916, [ ~( d2( f( X, a3 ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.09 , clause( 674, [ ~( c( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 , 0, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7918, [ ~( d2( f( X, a3 ) ) ), ~( d2( f( X, a3 ) ) ), d1( X ) ] )
% 2.66/3.09 , clause( 102, [ ~( d2( X ) ), ~( d2( f( X, a3 ) ) ) ] )
% 2.66/3.09 , 0, clause( 7916, [ ~( d2( f( X, a3 ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7919, [ ~( d2( f( X, a3 ) ) ), d1( X ) ] )
% 2.66/3.09 , clause( 7918, [ ~( d2( f( X, a3 ) ) ), ~( d2( f( X, a3 ) ) ), d1( X ) ]
% 2.66/3.09 )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 706, [ ~( d2( f( X, a3 ) ) ), d1( X ) ] )
% 2.66/3.09 , clause( 7919, [ ~( d2( f( X, a3 ) ) ), d1( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7922, [ ~( d1( f( X, Y ) ) ), ~( d1( Y ) ), ~( d1( f( X, Y ) ) ),
% 2.66/3.09 ~( c( X ) ), d1( f( f( X, Y ), f( X, Y ) ) ) ] )
% 2.66/3.09 , clause( 54, [ ~( d1( X ) ), ~( d2( f( X, X ) ) ) ] )
% 2.66/3.09 , 1, clause( 43, [ ~( d1( X ) ), ~( d1( Y ) ), ~( c( Z ) ), d2( f( f( Z, X
% 2.66/3.09 ), Y ) ), d1( f( f( Z, X ), Y ) ) ] )
% 2.66/3.09 , 3, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, Y
% 2.66/3.09 ), :=( Y, f( X, Y ) ), :=( Z, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7925, [ d1( f( f( f( X, Y ), X ), Y ) ), ~( d1( f( X, Y ) ) ), ~(
% 2.66/3.09 d1( Y ) ), ~( d1( f( X, Y ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7922, [ ~( d1( f( X, Y ) ) ), ~( d1( Y ) ), ~( d1( f( X, Y ) )
% 2.66/3.09 ), ~( c( X ) ), d1( f( f( X, Y ), f( X, Y ) ) ) ] )
% 2.66/3.09 , 4, 1, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7926, [ d1( f( f( f( X, Y ), X ), Y ) ), ~( d1( f( X, Y ) ) ), ~(
% 2.66/3.09 d1( Y ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 7925, [ d1( f( f( f( X, Y ), X ), Y ) ), ~( d1( f( X, Y ) ) ),
% 2.66/3.09 ~( d1( Y ) ), ~( d1( f( X, Y ) ) ), ~( c( X ) ) ] )
% 2.66/3.09 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7928, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( Y ) ),
% 2.66/3.09 ~( c( X ) ) ] )
% 2.66/3.09 , clause( 62, [ ~( d1( f( X, Y ) ) ), ~( d1( f( f( f( X, Y ), X ), Y ) ) )
% 2.66/3.09 ] )
% 2.66/3.09 , 1, clause( 7926, [ d1( f( f( f( X, Y ), X ), Y ) ), ~( d1( f( X, Y ) ) )
% 2.66/3.09 , ~( d1( Y ) ), ~( c( X ) ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7929, [ ~( d1( f( X, Y ) ) ), ~( d1( Y ) ), ~( c( X ) ) ] )
% 2.66/3.09 , clause( 7928, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( Y ) )
% 2.66/3.09 , ~( c( X ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 1204, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 7929, [ ~( d1( f( X, Y ) ) ), ~( d1( Y ) ), ~( c( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 2.66/3.09 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7930, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( d1( f( Y, a2 ) ) ),
% 2.66/3.09 d2( Y ) ] )
% 2.66/3.09 , clause( 1204, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 2, clause( 151, [ ~( d1( f( X, a2 ) ) ), c( X ), d2( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 1235, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( d1( f( Y, a2 ) ) ),
% 2.66/3.09 d2( Y ) ] )
% 2.66/3.09 , clause( 7930, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( d1( f( Y, a2 ) ) )
% 2.66/3.09 , d2( Y ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7934, [ ~( d1( a2 ) ), ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.09 , clause( 1235, [ ~( d1( X ) ), ~( d1( f( Y, X ) ) ), ~( d1( f( Y, a2 ) ) )
% 2.66/3.09 , d2( Y ) ] )
% 2.66/3.09 , 1, 2, substitution( 0, [ :=( X, a2 ), :=( Y, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7935, [ ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.09 , clause( 7934, [ ~( d1( a2 ) ), ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.09 , 0, clause( 6, [ d1( a2 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 1279, [ ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.09 , clause( 7935, [ ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7937, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) ),
% 2.66/3.09 d2( f( f( f( X, Y ), X ), Y ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 62, [ ~( d1( f( X, Y ) ) ), ~( d1( f( f( f( X, Y ), X ), Y ) ) )
% 2.66/3.09 ] )
% 2.66/3.09 , 1, clause( 42, [ ~( d1( X ) ), ~( d1( Y ) ), d2( f( f( X, Y ), Z ) ), d1(
% 2.66/3.09 f( f( X, Y ), Z ) ), ~( c( Z ) ) ] )
% 2.66/3.09 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , f( X, Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7940, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y
% 2.66/3.09 ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 205, [ ~( d1( X ) ), ~( d1( f( Y, Z ) ) ), ~( d2( f( f( X, Y ), Z
% 2.66/3.09 ) ) ) ] )
% 2.66/3.09 , 2, clause( 7937, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X )
% 2.66/3.09 ), d2( f( f( f( X, Y ), X ), Y ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 3, substitution( 0, [ :=( X, f( X, Y ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.66/3.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7941, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y
% 2.66/3.09 ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 7940, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( f( X,
% 2.66/3.09 Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7942, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) ),
% 2.66/3.09 ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 7941, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( f( X,
% 2.66/3.09 Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7943, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 7942, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) )
% 2.66/3.09 , ~( c( Y ) ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 2129, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , clause( 7943, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7945, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( Z, Y ) ), ~( d1(
% 2.66/3.09 Z ) ), d2( Y ) ] )
% 2.66/3.09 , clause( 2129, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 2, clause( 48, [ c( f( X, Y ) ), ~( d1( X ) ), c( Y ), d2( Y ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 2.66/3.09 , Z ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 2137, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( Z, Y ) ), ~( d1(
% 2.66/3.09 Z ) ), d2( Y ) ] )
% 2.66/3.09 , clause( 7945, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( Z, Y ) ), ~( d1(
% 2.66/3.09 Z ) ), d2( Y ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.66/3.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 2.66/3.09 ==>( 4, 4 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7949, [ ~( d1( f( X, a1 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 2129, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), ~( c( Y ) ) ] )
% 2.66/3.09 , 2, clause( 5, [ c( a1 ) ] )
% 2.66/3.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, a1 )] ), substitution( 1, [] )
% 2.66/3.09 ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 2197, [ ~( d1( f( X, a1 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 7949, [ ~( d1( f( X, a1 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7951, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( X, Y ) ), d2( Y )
% 2.66/3.09 ] )
% 2.66/3.09 , clause( 2137, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( Z, Y ) ), ~( d1(
% 2.66/3.09 Z ) ), d2( Y ) ] )
% 2.66/3.09 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7953, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) ),
% 2.66/3.09 d2( Y ) ] )
% 2.66/3.09 , clause( 2, [ ~( c( X ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, clause( 7951, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), c( f( X, Y ) ), d2(
% 2.66/3.09 Y ) ] )
% 2.66/3.09 , 2, substitution( 0, [ :=( X, f( X, Y ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.09 ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 factor(
% 2.66/3.09 clause( 7954, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), d2( Y ) ] )
% 2.66/3.09 , clause( 7953, [ ~( d1( f( X, Y ) ) ), ~( d1( f( X, Y ) ) ), ~( d1( X ) )
% 2.66/3.09 , d2( Y ) ] )
% 2.66/3.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 2213, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), d2( Y ) ] )
% 2.66/3.09 , clause( 7954, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), d2( Y ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.66/3.09 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7955, [ ~( d1( X ) ), ~( d2( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.09 , clause( 2197, [ ~( d1( f( X, a1 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, clause( 706, [ ~( d2( f( X, a3 ) ) ), d1( X ) ] )
% 2.66/3.09 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, f( X, a1 )
% 2.66/3.09 )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 subsumption(
% 2.66/3.09 clause( 2302, [ ~( d1( X ) ), ~( d2( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.09 , clause( 7955, [ ~( d1( X ) ), ~( d2( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.09 1 )] ) ).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 resolution(
% 2.66/3.09 clause( 7958, [ ~( d1( f( X, f( a1, a3 ) ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 304, [ ~( d2( f( a1, a3 ) ) ) ] )
% 2.66/3.09 , 0, clause( 2213, [ ~( d1( f( X, Y ) ) ), ~( d1( X ) ), d2( Y ) ] )
% 2.66/3.09 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, f( a1, a3
% 2.66/3.09 ) )] )).
% 2.66/3.09
% 2.66/3.09
% 2.66/3.09 paramod(
% 2.66/3.09 clause( 7959, [ ~( d1( f( f( X, a1 ), a3 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.09 , 0, clause( 7958, [ ~( d1( f( X, f( a1, a3 ) ) ) ), ~( d1( X ) ) ] )
% 2.66/3.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, a1 ), :=( Z, a3 )] ),
% 2.66/3.10 substitution( 1, [ :=( X, X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 2563, [ ~( d1( X ) ), ~( d1( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.10 , clause( 7959, [ ~( d1( f( f( X, a1 ), a3 ) ) ), ~( d1( X ) ) ] )
% 2.66/3.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.10 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7961, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ), d2( f( f( X, a1 ),
% 2.66/3.10 a3 ) ) ] )
% 2.66/3.10 , clause( 2563, [ ~( d1( X ) ), ~( d1( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.10 , 1, clause( 1, [ c( X ), d1( X ), d2( X ) ] )
% 2.66/3.10 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, f( f( X,
% 2.66/3.10 a1 ), a3 ) )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7962, [ ~( d1( X ) ), ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.10 , clause( 2302, [ ~( d1( X ) ), ~( d2( f( f( X, a1 ), a3 ) ) ) ] )
% 2.66/3.10 , 1, clause( 7961, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ), d2( f( f( X,
% 2.66/3.10 a1 ), a3 ) ) ] )
% 2.66/3.10 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.66/3.10 ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 factor(
% 2.66/3.10 clause( 7963, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.10 , clause( 7962, [ ~( d1( X ) ), ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.10 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 2664, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.10 , clause( 7963, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.10 1 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7964, [ c( f( f( X, a1 ), a3 ) ), c( f( Y, X ) ), ~( d2( Y ) ), c(
% 2.66/3.10 X ) ] )
% 2.66/3.10 , clause( 2664, [ ~( d1( X ) ), c( f( f( X, a1 ), a3 ) ) ] )
% 2.66/3.10 , 0, clause( 76, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), d1( Y ) ] )
% 2.66/3.10 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 2.66/3.10 , X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 3884, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), c( f( f( Y, a1 ), a3
% 2.66/3.10 ) ) ] )
% 2.66/3.10 , clause( 7964, [ c( f( f( X, a1 ), a3 ) ), c( f( Y, X ) ), ~( d2( Y ) ), c(
% 2.66/3.10 X ) ] )
% 2.66/3.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 3
% 2.66/3.10 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 factor(
% 2.66/3.10 clause( 7966, [ c( f( f( a3, a1 ), a3 ) ), ~( d2( f( a3, a1 ) ) ), c( a3 )
% 2.66/3.10 ] )
% 2.66/3.10 , clause( 3884, [ c( f( X, Y ) ), ~( d2( X ) ), c( Y ), c( f( f( Y, a1 ),
% 2.66/3.10 a3 ) ) ] )
% 2.66/3.10 , 0, 3, substitution( 0, [ :=( X, f( a3, a1 ) ), :=( Y, a3 )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7967, [ ~( d2( f( a3, a1 ) ) ), ~( d2( f( a3, a1 ) ) ), c( a3 ) ]
% 2.66/3.10 )
% 2.66/3.10 , clause( 265, [ ~( c( f( f( X, a1 ), X ) ) ), ~( d2( f( X, a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 7966, [ c( f( f( a3, a1 ), a3 ) ), ~( d2( f( a3, a1 ) ) ), c(
% 2.66/3.10 a3 ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, a3 )] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 factor(
% 2.66/3.10 clause( 7968, [ ~( d2( f( a3, a1 ) ) ), c( a3 ) ] )
% 2.66/3.10 , clause( 7967, [ ~( d2( f( a3, a1 ) ) ), ~( d2( f( a3, a1 ) ) ), c( a3 ) ]
% 2.66/3.10 )
% 2.66/3.10 , 0, 1, substitution( 0, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 3937, [ ~( d2( f( a3, a1 ) ) ), c( a3 ) ] )
% 2.66/3.10 , clause( 7968, [ ~( d2( f( a3, a1 ) ) ), c( a3 ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.66/3.10 ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7969, [ ~( d2( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , clause( 17, [ ~( c( a3 ) ) ] )
% 2.66/3.10 , 0, clause( 3937, [ ~( d2( f( a3, a1 ) ) ), c( a3 ) ] )
% 2.66/3.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 3939, [ ~( d2( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , clause( 7969, [ ~( d2( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7970, [ ~( d1( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , clause( 3939, [ ~( d2( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 1279, [ ~( d1( f( X, a2 ) ) ), d2( X ) ] )
% 2.66/3.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f( a3, a1 ) )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 3949, [ ~( d1( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , clause( 7970, [ ~( d1( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7972, [ ~( c( f( f( a1, f( a3, a3 ) ), a1 ) ) ) ] )
% 2.66/3.10 , clause( 462, [ ~( c( X ) ), ~( c( f( f( a1, X ), a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 23, [ c( f( a3, a3 ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, f( a3, a3 ) )] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 paramod(
% 2.66/3.10 clause( 7973, [ ~( c( f( f( f( a1, a3 ), a3 ), a1 ) ) ) ] )
% 2.66/3.10 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.10 , 0, clause( 7972, [ ~( c( f( f( a1, f( a3, a3 ) ), a1 ) ) ) ] )
% 2.66/3.10 , 0, 3, substitution( 0, [ :=( X, a1 ), :=( Y, a3 ), :=( Z, a3 )] ),
% 2.66/3.10 substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 4139, [ ~( c( f( f( f( a1, a3 ), a3 ), a1 ) ) ) ] )
% 2.66/3.10 , clause( 7973, [ ~( c( f( f( f( a1, a3 ), a3 ), a1 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7976, [ ~( c( f( a3, X ) ) ), ~( d2( f( X, f( a3, X ) ) ) ) ] )
% 2.66/3.10 , clause( 31, [ ~( c( X ) ), ~( c( f( X, X ) ) ) ] )
% 2.66/3.10 , 1, clause( 88, [ c( f( f( a3, X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, f( a3, X ) )] ), substitution( 1, [ :=( X, X
% 2.66/3.10 ), :=( Y, f( a3, X ) )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 paramod(
% 2.66/3.10 clause( 7979, [ ~( d2( f( f( X, a3 ), X ) ) ), ~( c( f( a3, X ) ) ) ] )
% 2.66/3.10 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.10 , 0, clause( 7976, [ ~( c( f( a3, X ) ) ), ~( d2( f( X, f( a3, X ) ) ) ) ]
% 2.66/3.10 )
% 2.66/3.10 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, a3 ), :=( Z, X )] ),
% 2.66/3.10 substitution( 1, [ :=( X, X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 4654, [ ~( c( f( a3, X ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.10 , clause( 7979, [ ~( d2( f( f( X, a3 ), X ) ) ), ~( c( f( a3, X ) ) ) ] )
% 2.66/3.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.10 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7981, [ ~( c( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.10 , clause( 231, [ ~( c( X ) ), ~( c( f( f( a3, a3 ), X ) ) ) ] )
% 2.66/3.10 , 1, clause( 88, [ c( f( f( a3, X ), Y ) ), ~( d2( f( X, Y ) ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a3 ), :=(
% 2.66/3.10 Y, X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 5066, [ ~( c( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.10 , clause( 7981, [ ~( c( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.66/3.10 1 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7983, [ ~( d2( f( a3, f( a1, a2 ) ) ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.10 , clause( 5066, [ ~( c( X ) ), ~( d2( f( a3, X ) ) ) ] )
% 2.66/3.10 , 0, clause( 301, [ c( f( a1, a2 ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, f( a1, a2 ) )] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 paramod(
% 2.66/3.10 clause( 7984, [ ~( d2( f( f( a3, a1 ), a2 ) ) ), d2( f( a1, a2 ) ) ] )
% 2.66/3.10 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.10 , 0, clause( 7983, [ ~( d2( f( a3, f( a1, a2 ) ) ) ), d2( f( a1, a2 ) ) ]
% 2.66/3.10 )
% 2.66/3.10 , 0, 2, substitution( 0, [ :=( X, a3 ), :=( Y, a1 ), :=( Z, a2 )] ),
% 2.66/3.10 substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7985, [ ~( d2( f( f( a3, a1 ), a2 ) ) ), ~( d2( f( f( a3, a1 ), a2
% 2.66/3.10 ) ) ) ] )
% 2.66/3.10 , clause( 96, [ ~( d2( f( X, Y ) ) ), ~( d2( f( f( a3, X ), Y ) ) ) ] )
% 2.66/3.10 , 0, clause( 7984, [ ~( d2( f( f( a3, a1 ), a2 ) ) ), d2( f( a1, a2 ) ) ]
% 2.66/3.10 )
% 2.66/3.10 , 1, substitution( 0, [ :=( X, a1 ), :=( Y, a2 )] ), substitution( 1, [] )
% 2.66/3.10 ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 factor(
% 2.66/3.10 clause( 7986, [ ~( d2( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , clause( 7985, [ ~( d2( f( f( a3, a1 ), a2 ) ) ), ~( d2( f( f( a3, a1 ),
% 2.66/3.10 a2 ) ) ) ] )
% 2.66/3.10 , 0, 1, substitution( 0, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 5192, [ ~( d2( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , clause( 7986, [ ~( d2( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7989, [ ~( c( f( a1, f( f( a3, a1 ), a2 ) ) ) ), d1( f( f( a3, a1 )
% 2.66/3.10 , a2 ) ) ] )
% 2.66/3.10 , clause( 5192, [ ~( d2( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , 0, clause( 262, [ ~( c( f( a1, X ) ) ), d1( X ), d2( X ) ] )
% 2.66/3.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, f( f( a3, a1 ), a2 )
% 2.66/3.10 )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 paramod(
% 2.66/3.10 clause( 7990, [ ~( c( f( f( a1, f( a3, a1 ) ), a2 ) ) ), d1( f( f( a3, a1 )
% 2.66/3.10 , a2 ) ) ] )
% 2.66/3.10 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.10 , 0, clause( 7989, [ ~( c( f( a1, f( f( a3, a1 ), a2 ) ) ) ), d1( f( f( a3
% 2.66/3.10 , a1 ), a2 ) ) ] )
% 2.66/3.10 , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, f( a3, a1 ) ), :=( Z, a2 )] )
% 2.66/3.10 , substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 paramod(
% 2.66/3.10 clause( 7992, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ), d1( f( f( a3, a1 )
% 2.66/3.10 , a2 ) ) ] )
% 2.66/3.10 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.10 , 0, clause( 7990, [ ~( c( f( f( a1, f( a3, a1 ) ), a2 ) ) ), d1( f( f( a3
% 2.66/3.10 , a1 ), a2 ) ) ] )
% 2.66/3.10 , 0, 3, substitution( 0, [ :=( X, a1 ), :=( Y, a3 ), :=( Z, a1 )] ),
% 2.66/3.10 substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7993, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ) ] )
% 2.66/3.10 , clause( 3949, [ ~( d1( f( f( a3, a1 ), a2 ) ) ) ] )
% 2.66/3.10 , 0, clause( 7992, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ), d1( f( f( a3
% 2.66/3.10 , a1 ), a2 ) ) ] )
% 2.66/3.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 5358, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ) ] )
% 2.66/3.10 , clause( 7993, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7994, [ ~( d1( f( f( a1, a3 ), a1 ) ) ) ] )
% 2.66/3.10 , clause( 5358, [ ~( c( f( f( f( a1, a3 ), a1 ), a2 ) ) ) ] )
% 2.66/3.10 , 0, clause( 51, [ c( f( X, a2 ) ), ~( d1( X ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, f( f( a1, a3 ), a1 )
% 2.66/3.10 )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 6788, [ ~( d1( f( f( a1, a3 ), a1 ) ) ) ] )
% 2.66/3.10 , clause( 7994, [ ~( d1( f( f( a1, a3 ), a1 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7995, [ d2( f( f( a1, a3 ), a1 ) ), ~( c( a1 ) ), ~( c( f( a3, a1 )
% 2.66/3.10 ) ) ] )
% 2.66/3.10 , clause( 6788, [ ~( d1( f( f( a1, a3 ), a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 30, [ d2( f( f( X, Y ), Z ) ), d1( f( f( X, Y ), Z ) ), ~( c(
% 2.66/3.10 X ) ), ~( c( f( Y, Z ) ) ) ] )
% 2.66/3.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a1 ), :=( Y, a3 ),
% 2.66/3.10 :=( Z, a1 )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7996, [ ~( c( f( a3, a1 ) ) ), ~( c( a1 ) ), ~( c( f( a3, a1 ) ) )
% 2.66/3.10 ] )
% 2.66/3.10 , clause( 4654, [ ~( c( f( a3, X ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.10 , 1, clause( 7995, [ d2( f( f( a1, a3 ), a1 ) ), ~( c( a1 ) ), ~( c( f( a3
% 2.66/3.10 , a1 ) ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 factor(
% 2.66/3.10 clause( 7997, [ ~( c( f( a3, a1 ) ) ), ~( c( a1 ) ) ] )
% 2.66/3.10 , clause( 7996, [ ~( c( f( a3, a1 ) ) ), ~( c( a1 ) ), ~( c( f( a3, a1 ) )
% 2.66/3.10 ) ] )
% 2.66/3.10 , 0, 2, substitution( 0, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 6809, [ ~( c( a1 ) ), ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , clause( 7997, [ ~( c( f( a3, a1 ) ) ), ~( c( a1 ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.66/3.10 ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7998, [ d2( f( f( a1, a3 ), a1 ) ), ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , clause( 6788, [ ~( d1( f( f( a1, a3 ), a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 29, [ d2( f( X, a1 ) ), d1( f( X, a1 ) ), ~( c( X ) ) ] )
% 2.66/3.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f( a1, a3 ) )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 7999, [ ~( c( f( a1, a3 ) ) ), ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , clause( 457, [ ~( c( f( X, a3 ) ) ), ~( d2( f( f( X, a3 ), X ) ) ) ] )
% 2.66/3.10 , 1, clause( 7998, [ d2( f( f( a1, a3 ), a1 ) ), ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 factor(
% 2.66/3.10 clause( 8000, [ ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , clause( 7999, [ ~( c( f( a1, a3 ) ) ), ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , 0, 1, substitution( 0, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 6810, [ ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , clause( 8000, [ ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8002, [ c( f( f( a1, a3 ), a3 ) ), d1( f( a1, a3 ) ) ] )
% 2.66/3.10 , clause( 6810, [ ~( c( f( a1, a3 ) ) ) ] )
% 2.66/3.10 , 0, clause( 101, [ c( f( X, a3 ) ), c( X ), d1( X ) ] )
% 2.66/3.10 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f( a1, a3 ) )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8003, [ d1( f( a1, a3 ) ) ] )
% 2.66/3.10 , clause( 260, [ ~( c( f( f( a1, a3 ), a3 ) ) ) ] )
% 2.66/3.10 , 0, clause( 8002, [ c( f( f( a1, a3 ), a3 ) ), d1( f( a1, a3 ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 6823, [ d1( f( a1, a3 ) ) ] )
% 2.66/3.10 , clause( 8003, [ d1( f( a1, a3 ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8004, [ ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , clause( 6809, [ ~( c( a1 ) ), ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 5, [ c( a1 ) ] )
% 2.66/3.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 6847, [ ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , clause( 8004, [ ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8007, [ c( f( X, f( a3, a1 ) ) ), ~( d1( X ) ), d2( f( a3, a1 ) ) ]
% 2.66/3.10 )
% 2.66/3.10 , clause( 6847, [ ~( c( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 48, [ c( f( X, Y ) ), ~( d1( X ) ), c( Y ), d2( Y ) ] )
% 2.66/3.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, f( a3, a1
% 2.66/3.10 ) )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 paramod(
% 2.66/3.10 clause( 8008, [ c( f( f( X, a3 ), a1 ) ), ~( d1( X ) ), d2( f( a3, a1 ) ) ]
% 2.66/3.10 )
% 2.66/3.10 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 2.66/3.10 , 0, clause( 8007, [ c( f( X, f( a3, a1 ) ) ), ~( d1( X ) ), d2( f( a3, a1
% 2.66/3.10 ) ) ] )
% 2.66/3.10 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, a3 ), :=( Z, a1 )] ),
% 2.66/3.10 substitution( 1, [ :=( X, X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8009, [ c( f( f( X, a3 ), a1 ) ), ~( d1( X ) ) ] )
% 2.66/3.10 , clause( 3939, [ ~( d2( f( a3, a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 8008, [ c( f( f( X, a3 ), a1 ) ), ~( d1( X ) ), d2( f( a3, a1
% 2.66/3.10 ) ) ] )
% 2.66/3.10 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 6853, [ ~( d1( X ) ), c( f( f( X, a3 ), a1 ) ) ] )
% 2.66/3.10 , clause( 8009, [ c( f( f( X, a3 ), a1 ) ), ~( d1( X ) ) ] )
% 2.66/3.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.66/3.10 0 )] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8010, [ c( f( f( f( a1, a3 ), a3 ), a1 ) ) ] )
% 2.66/3.10 , clause( 6853, [ ~( d1( X ) ), c( f( f( X, a3 ), a1 ) ) ] )
% 2.66/3.10 , 0, clause( 6823, [ d1( f( a1, a3 ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [ :=( X, f( a1, a3 ) )] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 resolution(
% 2.66/3.10 clause( 8011, [] )
% 2.66/3.10 , clause( 4139, [ ~( c( f( f( f( a1, a3 ), a3 ), a1 ) ) ) ] )
% 2.66/3.10 , 0, clause( 8010, [ c( f( f( f( a1, a3 ), a3 ), a1 ) ) ] )
% 2.66/3.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 subsumption(
% 2.66/3.10 clause( 7697, [] )
% 2.66/3.10 , clause( 8011, [] )
% 2.66/3.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 end.
% 2.66/3.10
% 2.66/3.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.66/3.10
% 2.66/3.10 Memory use:
% 2.66/3.10
% 2.66/3.10 space for terms: 106205
% 2.66/3.10 space for clauses: 358455
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 clauses generated: 32804
% 2.66/3.10 clauses kept: 7698
% 2.66/3.10 clauses selected: 361
% 2.66/3.10 clauses deleted: 22
% 2.66/3.10 clauses inuse deleted: 9
% 2.66/3.10
% 2.66/3.10 subsentry: 216791
% 2.66/3.10 literals s-matched: 97719
% 2.66/3.10 literals matched: 84395
% 2.66/3.10 full subsumption: 21163
% 2.66/3.10
% 2.66/3.10 checksum: 1599969465
% 2.66/3.10
% 2.66/3.10
% 2.66/3.10 Bliksem ended
%------------------------------------------------------------------------------