TSTP Solution File: CAT008-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 23:54:10 EDT 2022
% Result : Unsatisfiable 2.13s 2.58s
% Output : Refutation 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun May 29 20:23:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.13/2.58 *** allocated 10000 integers for termspace/termends
% 2.13/2.58 *** allocated 10000 integers for clauses
% 2.13/2.58 *** allocated 10000 integers for justifications
% 2.13/2.58 Bliksem 1.12
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Automatic Strategy Selection
% 2.13/2.58
% 2.13/2.58 Clauses:
% 2.13/2.58 [
% 2.13/2.58 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 2.13/2.58 , defined( X, U ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 2.13/2.58 ) ), product( X, W, U ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 2.13/2.58 , defined( U, Y ) ],
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 2.13/2.58 ) ), product( W, Y, U ) ],
% 2.13/2.58 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 2.13/2.58 defined( X, Z ) ],
% 2.13/2.58 [ 'identity_map'( domain( X ) ) ],
% 2.13/2.58 [ 'identity_map'( codomain( X ) ) ],
% 2.13/2.58 [ defined( X, domain( X ) ) ],
% 2.13/2.58 [ defined( codomain( X ), X ) ],
% 2.13/2.58 [ product( X, domain( X ), X ) ],
% 2.13/2.58 [ product( codomain( X ), X, X ) ],
% 2.13/2.58 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 2.13/2.58 ,
% 2.13/2.58 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 2.13/2.58 ,
% 2.13/2.58 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 2.13/2.58 [ defined( a, b ) ],
% 2.13/2.58 [ ~( =( domain( a ), codomain( b ) ) ) ]
% 2.13/2.58 ] .
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 percentage equality = 0.042553, percentage horn = 1.000000
% 2.13/2.58 This is a problem with some equality
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Options Used:
% 2.13/2.58
% 2.13/2.58 useres = 1
% 2.13/2.58 useparamod = 1
% 2.13/2.58 useeqrefl = 1
% 2.13/2.58 useeqfact = 1
% 2.13/2.58 usefactor = 1
% 2.13/2.58 usesimpsplitting = 0
% 2.13/2.58 usesimpdemod = 5
% 2.13/2.58 usesimpres = 3
% 2.13/2.58
% 2.13/2.58 resimpinuse = 1000
% 2.13/2.58 resimpclauses = 20000
% 2.13/2.58 substype = eqrewr
% 2.13/2.58 backwardsubs = 1
% 2.13/2.58 selectoldest = 5
% 2.13/2.58
% 2.13/2.58 litorderings [0] = split
% 2.13/2.58 litorderings [1] = extend the termordering, first sorting on arguments
% 2.13/2.58
% 2.13/2.58 termordering = kbo
% 2.13/2.58
% 2.13/2.58 litapriori = 0
% 2.13/2.58 termapriori = 1
% 2.13/2.58 litaposteriori = 0
% 2.13/2.58 termaposteriori = 0
% 2.13/2.58 demodaposteriori = 0
% 2.13/2.58 ordereqreflfact = 0
% 2.13/2.58
% 2.13/2.58 litselect = negord
% 2.13/2.58
% 2.13/2.58 maxweight = 15
% 2.13/2.58 maxdepth = 30000
% 2.13/2.58 maxlength = 115
% 2.13/2.58 maxnrvars = 195
% 2.13/2.58 excuselevel = 1
% 2.13/2.58 increasemaxweight = 1
% 2.13/2.58
% 2.13/2.58 maxselected = 10000000
% 2.13/2.58 maxnrclauses = 10000000
% 2.13/2.58
% 2.13/2.58 showgenerated = 0
% 2.13/2.58 showkept = 0
% 2.13/2.58 showselected = 0
% 2.13/2.58 showdeleted = 0
% 2.13/2.58 showresimp = 1
% 2.13/2.58 showstatus = 2000
% 2.13/2.58
% 2.13/2.58 prologoutput = 1
% 2.13/2.58 nrgoals = 5000000
% 2.13/2.58 totalproof = 1
% 2.13/2.58
% 2.13/2.58 Symbols occurring in the translation:
% 2.13/2.58
% 2.13/2.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.13/2.58 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 2.13/2.58 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 2.13/2.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.13/2.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.13/2.58 defined [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 2.13/2.58 compose [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 2.13/2.58 product [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 2.13/2.58 'identity_map' [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.13/2.58 domain [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.13/2.58 codomain [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.13/2.58 a [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.13/2.58 b [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Starting Search:
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 4845
% 2.13/2.58 Kept: 2008
% 2.13/2.58 Inuse: 133
% 2.13/2.58 Deleted: 0
% 2.13/2.58 Deletedinuse: 0
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 9643
% 2.13/2.58 Kept: 4024
% 2.13/2.58 Inuse: 216
% 2.13/2.58 Deleted: 25
% 2.13/2.58 Deletedinuse: 11
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 15801
% 2.13/2.58 Kept: 6030
% 2.13/2.58 Inuse: 284
% 2.13/2.58 Deleted: 28
% 2.13/2.58 Deletedinuse: 11
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 22052
% 2.13/2.58 Kept: 8035
% 2.13/2.58 Inuse: 343
% 2.13/2.58 Deleted: 35
% 2.13/2.58 Deletedinuse: 14
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 28976
% 2.13/2.58 Kept: 10065
% 2.13/2.58 Inuse: 388
% 2.13/2.58 Deleted: 47
% 2.13/2.58 Deletedinuse: 24
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 32949
% 2.13/2.58 Kept: 12232
% 2.13/2.58 Inuse: 396
% 2.13/2.58 Deleted: 48
% 2.13/2.58 Deletedinuse: 25
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Intermediate Status:
% 2.13/2.58 Generated: 42240
% 2.13/2.58 Kept: 14243
% 2.13/2.58 Inuse: 455
% 2.13/2.58 Deleted: 244
% 2.13/2.58 Deletedinuse: 217
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58 Resimplifying inuse:
% 2.13/2.58 Done
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 Bliksems!, er is een bewijs:
% 2.13/2.58 % SZS status Unsatisfiable
% 2.13/2.58 % SZS output start Refutation
% 2.13/2.58
% 2.13/2.58 clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 2.13/2.58 ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 4, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product(
% 2.13/2.58 Y, T, W ) ), product( X, W, U ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X )
% 2.13/2.58 ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 10, [ 'identity_map'( codomain( X ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 12, [ defined( codomain( X ), X ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 13, [ product( X, domain( X ), X ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 2.13/2.58 , Y ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 2.13/2.58 , X ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 2.13/2.58 )
% 2.13/2.58 .
% 2.13/2.58 clause( 18, [ defined( a, b ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 19, [ ~( =( domain( a ), codomain( b ) ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 34, [ ~( defined( X, domain( Y ) ) ), product( X, domain( Y ), X )
% 2.13/2.58 ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 43, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T, U
% 2.13/2.58 ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 50, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 51, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 56, [ defined( domain( X ), domain( X ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 62, [ product( domain( X ), domain( X ), domain( X ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 109, [ defined( domain( a ), b ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 127, [ ~( product( X, domain( Y ), Z ) ), ~( product( Z, domain( Y
% 2.13/2.58 ), T ) ), product( X, domain( Y ), T ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 594, [ product( domain( a ), b, b ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 610, [ ~( defined( X, b ) ), defined( X, domain( a ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 739, [ ~( =( X, codomain( b ) ) ), ~( product( Y, Z, domain( a ) )
% 2.13/2.58 ), ~( product( Y, Z, X ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 750, [ ~( product( X, Y, domain( a ) ) ), ~( product( X, Y,
% 2.13/2.58 codomain( b ) ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 1335, [ defined( codomain( b ), domain( a ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 1340, [ product( codomain( b ), domain( a ), domain( a ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 15531, [ ~( product( X, domain( a ), codomain( b ) ) ) ] )
% 2.13/2.58 .
% 2.13/2.58 clause( 15534, [] )
% 2.13/2.58 .
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 % SZS output end Refutation
% 2.13/2.58 found a proof!
% 2.13/2.58
% 2.13/2.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.13/2.58
% 2.13/2.58 initialclauses(
% 2.13/2.58 [ clause( 15536, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 2.13/2.58 )
% 2.13/2.58 , clause( 15537, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.13/2.58 , clause( 15538, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined(
% 2.13/2.58 Y, T ) ] )
% 2.13/2.58 , clause( 15539, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 2.13/2.58 defined( Z, T ) ), defined( X, U ) ] )
% 2.13/2.58 , clause( 15540, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 2.13/2.58 product( Y, T, W ) ), product( X, W, U ) ] )
% 2.13/2.58 , clause( 15541, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined(
% 2.13/2.58 T, X ) ] )
% 2.13/2.58 , clause( 15542, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 2.13/2.58 defined( T, Z ) ), defined( U, Y ) ] )
% 2.13/2.58 , clause( 15543, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 2.13/2.58 product( T, X, W ) ), product( W, Y, U ) ] )
% 2.13/2.58 , clause( 15544, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 2.13/2.58 'identity_map'( Y ) ), defined( X, Z ) ] )
% 2.13/2.58 , clause( 15545, [ 'identity_map'( domain( X ) ) ] )
% 2.13/2.58 , clause( 15546, [ 'identity_map'( codomain( X ) ) ] )
% 2.13/2.58 , clause( 15547, [ defined( X, domain( X ) ) ] )
% 2.13/2.58 , clause( 15548, [ defined( codomain( X ), X ) ] )
% 2.13/2.58 , clause( 15549, [ product( X, domain( X ), X ) ] )
% 2.13/2.58 , clause( 15550, [ product( codomain( X ), X, X ) ] )
% 2.13/2.58 , clause( 15551, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 2.13/2.58 X, Y, Y ) ] )
% 2.13/2.58 , clause( 15552, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 2.13/2.58 X, Y, X ) ] )
% 2.13/2.58 , clause( 15553, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 2.13/2.58 T ) ] )
% 2.13/2.58 , clause( 15554, [ defined( a, b ) ] )
% 2.13/2.58 , clause( 15555, [ ~( =( domain( a ), codomain( b ) ) ) ] )
% 2.13/2.58 ] ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.13/2.58 , clause( 15537, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.13/2.58 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 2.13/2.58 ] )
% 2.13/2.58 , clause( 15538, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined(
% 2.13/2.58 Y, T ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.13/2.58 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 4, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product(
% 2.13/2.58 Y, T, W ) ), product( X, W, U ) ] )
% 2.13/2.58 , clause( 15540, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 2.13/2.58 product( Y, T, W ) ), product( X, W, U ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.13/2.58 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 2.13/2.58 , 2 ), ==>( 3, 3 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X )
% 2.13/2.58 ] )
% 2.13/2.58 , clause( 15541, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined(
% 2.13/2.58 T, X ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.13/2.58 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.13/2.58 , clause( 15545, [ 'identity_map'( domain( X ) ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 10, [ 'identity_map'( codomain( X ) ) ] )
% 2.13/2.58 , clause( 15546, [ 'identity_map'( codomain( X ) ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 12, [ defined( codomain( X ), X ) ] )
% 2.13/2.58 , clause( 15548, [ defined( codomain( X ), X ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 13, [ product( X, domain( X ), X ) ] )
% 2.13/2.58 , clause( 15549, [ product( X, domain( X ), X ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 2.13/2.58 , Y ) ] )
% 2.13/2.58 , clause( 15551, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 2.13/2.58 X, Y, Y ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.13/2.58 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 2.13/2.58 , X ) ] )
% 2.13/2.58 , clause( 15552, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 2.13/2.58 X, Y, X ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.13/2.58 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 2.13/2.58 )
% 2.13/2.58 , clause( 15553, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 2.13/2.58 T ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.13/2.58 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 18, [ defined( a, b ) ] )
% 2.13/2.58 , clause( 15554, [ defined( a, b ) ] )
% 2.13/2.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 19, [ ~( =( domain( a ), codomain( b ) ) ) ] )
% 2.13/2.58 , clause( 15555, [ ~( =( domain( a ), codomain( b ) ) ) ] )
% 2.13/2.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15669, [ ~( defined( X, domain( Y ) ) ), product( X, domain( Y ), X
% 2.13/2.58 ) ] )
% 2.13/2.58 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.13/2.58 , Y, X ) ] )
% 2.13/2.58 , 1, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, domain( Y ) )] ), substitution(
% 2.13/2.58 1, [ :=( X, Y )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 34, [ ~( defined( X, domain( Y ) ) ), product( X, domain( Y ), X )
% 2.13/2.58 ] )
% 2.13/2.58 , clause( 15669, [ ~( defined( X, domain( Y ) ) ), product( X, domain( Y )
% 2.13/2.58 , X ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.13/2.58 ), ==>( 1, 1 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15670, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T
% 2.13/2.58 , U ) ) ] )
% 2.13/2.58 , clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T
% 2.13/2.58 ) ] )
% 2.13/2.58 , 1, clause( 1, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.13/2.58 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.13/2.58 substitution( 1, [ :=( X, Z ), :=( Y, T ), :=( Z, U )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 43, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T, U
% 2.13/2.58 ) ) ] )
% 2.13/2.58 , clause( 15670, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z
% 2.13/2.58 , T, U ) ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.13/2.58 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 2.13/2.58 ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15672, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 2.13/2.58 , clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T
% 2.13/2.58 ) ] )
% 2.13/2.58 , 1, clause( 18, [ defined( a, b ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, b )] ),
% 2.13/2.58 substitution( 1, [] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 50, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 2.13/2.58 , clause( 15672, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.13/2.58 ), ==>( 1, 1 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 factor(
% 2.13/2.58 clause( 15673, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.13/2.58 , clause( 43, [ ~( product( X, Y, Z ) ), defined( Y, T ), ~( product( Z, T
% 2.13/2.58 , U ) ) ] )
% 2.13/2.58 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Y ),
% 2.13/2.58 :=( U, X )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 51, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.13/2.58 , clause( 15673, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.13/2.58 ), ==>( 1, 1 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15674, [ defined( domain( X ), domain( X ) ) ] )
% 2.13/2.58 , clause( 51, [ ~( product( X, Y, X ) ), defined( Y, Y ) ] )
% 2.13/2.58 , 0, clause( 13, [ product( X, domain( X ), X ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, domain( X ) )] ), substitution(
% 2.13/2.58 1, [ :=( X, X )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 56, [ defined( domain( X ), domain( X ) ) ] )
% 2.13/2.58 , clause( 15674, [ defined( domain( X ), domain( X ) ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15675, [ ~( 'identity_map'( domain( X ) ) ), product( domain( X ),
% 2.13/2.58 domain( X ), domain( X ) ) ] )
% 2.13/2.58 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.13/2.58 , Y, X ) ] )
% 2.13/2.58 , 0, clause( 56, [ defined( domain( X ), domain( X ) ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, domain( X ) ), :=( Y, domain( X ) )] ),
% 2.13/2.58 substitution( 1, [ :=( X, X )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15676, [ product( domain( X ), domain( X ), domain( X ) ) ] )
% 2.13/2.58 , clause( 15675, [ ~( 'identity_map'( domain( X ) ) ), product( domain( X )
% 2.13/2.58 , domain( X ), domain( X ) ) ] )
% 2.13/2.58 , 0, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.13/2.58 ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 62, [ product( domain( X ), domain( X ), domain( X ) ) ] )
% 2.13/2.58 , clause( 15676, [ product( domain( X ), domain( X ), domain( X ) ) ] )
% 2.13/2.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15677, [ defined( domain( a ), b ) ] )
% 2.13/2.58 , clause( 50, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 2.13/2.58 , 0, clause( 13, [ product( X, domain( X ), X ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, a ), :=( Y, domain( a ) )] ), substitution(
% 2.13/2.58 1, [ :=( X, a )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 109, [ defined( domain( a ), b ) ] )
% 2.13/2.58 , clause( 15677, [ defined( domain( a ), b ) ] )
% 2.13/2.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 resolution(
% 2.13/2.58 clause( 15680, [ ~( product( X, domain( Y ), Z ) ), ~( product( Z, domain(
% 2.13/2.58 Y ), T ) ), product( X, domain( Y ), T ) ] )
% 2.13/2.58 , clause( 4, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product(
% 2.13/2.58 Y, T, W ) ), product( X, W, U ) ] )
% 2.13/2.58 , 2, clause( 62, [ product( domain( X ), domain( X ), domain( X ) ) ] )
% 2.13/2.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, domain( Y ) ), :=( Z, Z ), :=( T
% 2.13/2.58 , domain( Y ) ), :=( U, T ), :=( W, domain( Y ) )] ), substitution( 1, [
% 2.13/2.58 :=( X, Y )] )).
% 2.13/2.58
% 2.13/2.58
% 2.13/2.58 subsumption(
% 2.13/2.58 clause( 127, [ ~( product( X, domain( Y ), Z ) ), ~( product( Z, domain( Y
% 2.22/2.60 ), T ) ), product( X, domain( Y ), T ) ] )
% 2.22/2.60 , clause( 15680, [ ~( product( X, domain( Y ), Z ) ), ~( product( Z, domain(
% 2.22/2.60 Y ), T ) ), product( X, domain( Y ), T ) ] )
% 2.22/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.22/2.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 resolution(
% 2.22/2.60 clause( 15683, [ ~( 'identity_map'( domain( a ) ) ), product( domain( a ),
% 2.22/2.60 b, b ) ] )
% 2.22/2.60 , clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X
% 2.22/2.60 , Y, Y ) ] )
% 2.22/2.60 , 0, clause( 109, [ defined( domain( a ), b ) ] )
% 2.22/2.60 , 0, substitution( 0, [ :=( X, domain( a ) ), :=( Y, b )] ), substitution(
% 2.22/2.60 1, [] )).
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 resolution(
% 2.22/2.60 clause( 15684, [ product( domain( a ), b, b ) ] )
% 2.22/2.60 , clause( 15683, [ ~( 'identity_map'( domain( a ) ) ), product( domain( a )
% 2.22/2.60 , b, b ) ] )
% 2.22/2.60 , 0, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.22/2.60 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 subsumption(
% 2.22/2.60 clause( 594, [ product( domain( a ), b, b ) ] )
% 2.22/2.60 , clause( 15684, [ product( domain( a ), b, b ) ] )
% 2.22/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 resolution(
% 2.22/2.60 clause( 15685, [ ~( defined( X, b ) ), defined( X, domain( a ) ) ] )
% 2.22/2.60 , clause( 5, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X
% 2.22/2.60 ) ] )
% 2.22/2.60 , 0, clause( 594, [ product( domain( a ), b, b ) ] )
% 2.22/2.60 , 0, substitution( 0, [ :=( X, domain( a ) ), :=( Y, b ), :=( Z, b ), :=( T
% 2.22/2.60 , X )] ), substitution( 1, [] )).
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 subsumption(
% 2.22/2.60 clause( 610, [ ~( defined( X, b ) ), defined( X, domain( a ) ) ] )
% 2.22/2.60 , clause( 15685, [ ~( defined( X, b ) ), defined( X, domain( a ) ) ] )
% 2.22/2.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.22/2.60 1 )] ) ).
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 assignments is full
% 2.22/2.60
% 2.22/2.60 Memory use:
% 2.22/2.60
% 2.22/2.60 space for terms: 218707
% 2.22/2.60 space for clauses: 704359
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 clauses generated: 47962
% 2.22/2.60 clauses kept: 15535
% 2.22/2.60 clauses selected: 494
% 2.22/2.60 clauses deleted: 252
% 2.22/2.60 clauses inuse deleted: 219
% 2.22/2.60
% 2.22/2.60 subsentry: 969062
% 2.22/2.60 literals s-matched: 347104
% 2.22/2.60 literals matched: 274254
% 2.22/2.60 full subsumption: 128148
% 2.22/2.60
% 2.22/2.60 checksum: -2101945598
% 2.22/2.60
% 2.22/2.60
% 2.22/2.60 Bliksem ended
%------------------------------------------------------------------------------