TSTP Solution File: CAT005-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 23:54:09 EDT 2022
% Result : Unsatisfiable 2.21s 2.60s
% Output : Refutation 2.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun May 29 16:08:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.21/2.60 *** allocated 10000 integers for termspace/termends
% 2.21/2.60 *** allocated 10000 integers for clauses
% 2.21/2.60 *** allocated 10000 integers for justifications
% 2.21/2.60 Bliksem 1.12
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Automatic Strategy Selection
% 2.21/2.60
% 2.21/2.60 Clauses:
% 2.21/2.60 [
% 2.21/2.60 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 2.21/2.60 , defined( X, U ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 2.21/2.60 ) ), product( X, W, U ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 2.21/2.60 , defined( U, Y ) ],
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 2.21/2.60 ) ), product( W, Y, U ) ],
% 2.21/2.60 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 2.21/2.60 defined( X, Z ) ],
% 2.21/2.60 [ 'identity_map'( domain( X ) ) ],
% 2.21/2.60 [ 'identity_map'( codomain( X ) ) ],
% 2.21/2.60 [ defined( X, domain( X ) ) ],
% 2.21/2.60 [ defined( codomain( X ), X ) ],
% 2.21/2.60 [ product( X, domain( X ), X ) ],
% 2.21/2.60 [ product( codomain( X ), X, X ) ],
% 2.21/2.60 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 2.21/2.60 ,
% 2.21/2.60 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 2.21/2.60 ,
% 2.21/2.60 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 2.21/2.60 [ defined( a, d ) ],
% 2.21/2.60 [ 'identity_map'( d ) ],
% 2.21/2.60 [ ~( =( domain( a ), d ) ) ]
% 2.21/2.60 ] .
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 percentage equality = 0.041667, percentage horn = 1.000000
% 2.21/2.60 This is a problem with some equality
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Options Used:
% 2.21/2.60
% 2.21/2.60 useres = 1
% 2.21/2.60 useparamod = 1
% 2.21/2.60 useeqrefl = 1
% 2.21/2.60 useeqfact = 1
% 2.21/2.60 usefactor = 1
% 2.21/2.60 usesimpsplitting = 0
% 2.21/2.60 usesimpdemod = 5
% 2.21/2.60 usesimpres = 3
% 2.21/2.60
% 2.21/2.60 resimpinuse = 1000
% 2.21/2.60 resimpclauses = 20000
% 2.21/2.60 substype = eqrewr
% 2.21/2.60 backwardsubs = 1
% 2.21/2.60 selectoldest = 5
% 2.21/2.60
% 2.21/2.60 litorderings [0] = split
% 2.21/2.60 litorderings [1] = extend the termordering, first sorting on arguments
% 2.21/2.60
% 2.21/2.60 termordering = kbo
% 2.21/2.60
% 2.21/2.60 litapriori = 0
% 2.21/2.60 termapriori = 1
% 2.21/2.60 litaposteriori = 0
% 2.21/2.60 termaposteriori = 0
% 2.21/2.60 demodaposteriori = 0
% 2.21/2.60 ordereqreflfact = 0
% 2.21/2.60
% 2.21/2.60 litselect = negord
% 2.21/2.60
% 2.21/2.60 maxweight = 15
% 2.21/2.60 maxdepth = 30000
% 2.21/2.60 maxlength = 115
% 2.21/2.60 maxnrvars = 195
% 2.21/2.60 excuselevel = 1
% 2.21/2.60 increasemaxweight = 1
% 2.21/2.60
% 2.21/2.60 maxselected = 10000000
% 2.21/2.60 maxnrclauses = 10000000
% 2.21/2.60
% 2.21/2.60 showgenerated = 0
% 2.21/2.60 showkept = 0
% 2.21/2.60 showselected = 0
% 2.21/2.60 showdeleted = 0
% 2.21/2.60 showresimp = 1
% 2.21/2.60 showstatus = 2000
% 2.21/2.60
% 2.21/2.60 prologoutput = 1
% 2.21/2.60 nrgoals = 5000000
% 2.21/2.60 totalproof = 1
% 2.21/2.60
% 2.21/2.60 Symbols occurring in the translation:
% 2.21/2.60
% 2.21/2.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.21/2.60 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 2.21/2.60 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 2.21/2.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.21/2.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.21/2.60 defined [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 2.21/2.60 compose [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 2.21/2.60 product [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 2.21/2.60 'identity_map' [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.21/2.60 domain [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.21/2.60 codomain [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.21/2.60 a [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.21/2.60 d [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Starting Search:
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Intermediate Status:
% 2.21/2.60 Generated: 6246
% 2.21/2.60 Kept: 2072
% 2.21/2.60 Inuse: 129
% 2.21/2.60 Deleted: 3
% 2.21/2.60 Deletedinuse: 1
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Intermediate Status:
% 2.21/2.60 Generated: 10996
% 2.21/2.60 Kept: 4094
% 2.21/2.60 Inuse: 203
% 2.21/2.60 Deleted: 14
% 2.21/2.60 Deletedinuse: 10
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Intermediate Status:
% 2.21/2.60 Generated: 18382
% 2.21/2.60 Kept: 6111
% 2.21/2.60 Inuse: 267
% 2.21/2.60 Deleted: 18
% 2.21/2.60 Deletedinuse: 13
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Intermediate Status:
% 2.21/2.60 Generated: 25333
% 2.21/2.60 Kept: 8128
% 2.21/2.60 Inuse: 325
% 2.21/2.60 Deleted: 29
% 2.21/2.60 Deletedinuse: 14
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Intermediate Status:
% 2.21/2.60 Generated: 32085
% 2.21/2.60 Kept: 10146
% 2.21/2.60 Inuse: 378
% 2.21/2.60 Deleted: 37
% 2.21/2.60 Deletedinuse: 16
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Intermediate Status:
% 2.21/2.60 Generated: 40249
% 2.21/2.60 Kept: 12196
% 2.21/2.60 Inuse: 440
% 2.21/2.60 Deleted: 45
% 2.21/2.60 Deletedinuse: 16
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60 Resimplifying inuse:
% 2.21/2.60 Done
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 Bliksems!, er is een bewijs:
% 2.21/2.60 % SZS status Unsatisfiable
% 2.21/2.60 % SZS output start Refutation
% 2.21/2.60
% 2.21/2.60 clause( 0, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 2.21/2.60 ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 4, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product(
% 2.21/2.60 Y, T, W ) ), product( X, W, U ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 11, [ defined( X, domain( X ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 2.21/2.60 , Y ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 2.21/2.60 , X ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 2.21/2.60 )
% 2.21/2.60 .
% 2.21/2.60 clause( 18, [ defined( a, d ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 19, [ 'identity_map'( d ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 20, [ ~( =( domain( a ), d ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 37, [ product( a, d, a ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 54, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 59, [ defined( d, domain( a ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 60, [ ~( defined( a, X ) ), product( d, X, compose( d, X ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 61, [ defined( d, d ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 63, [ product( d, d, d ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 109, [ product( d, domain( a ), d ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 133, [ ~( product( X, d, Y ) ), ~( product( Y, domain( a ), Z ) ),
% 2.21/2.60 product( X, d, Z ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 592, [ product( d, domain( a ), domain( a ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 658, [ ~( product( d, d, X ) ), =( d, X ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 733, [ ~( =( X, d ) ), ~( product( Y, Z, domain( a ) ) ), ~(
% 2.21/2.60 product( Y, Z, X ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 743, [ ~( product( X, Y, domain( a ) ) ), ~( product( X, Y, d ) ) ]
% 2.21/2.60 )
% 2.21/2.60 .
% 2.21/2.60 clause( 901, [ product( X, domain( a ), domain( a ) ), ~( product( d, d, X
% 2.21/2.60 ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 902, [ ~( product( d, d, domain( a ) ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 13899, [ ~( product( d, d, X ) ) ] )
% 2.21/2.60 .
% 2.21/2.60 clause( 13920, [] )
% 2.21/2.60 .
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 % SZS output end Refutation
% 2.21/2.60 found a proof!
% 2.21/2.60
% 2.21/2.60 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.21/2.60
% 2.21/2.60 initialclauses(
% 2.21/2.60 [ clause( 13922, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 2.21/2.60 )
% 2.21/2.60 , clause( 13923, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 2.21/2.60 , clause( 13924, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined(
% 2.21/2.60 Y, T ) ] )
% 2.21/2.60 , clause( 13925, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 2.21/2.60 defined( Z, T ) ), defined( X, U ) ] )
% 2.21/2.60 , clause( 13926, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 2.21/2.60 product( Y, T, W ) ), product( X, W, U ) ] )
% 2.21/2.60 , clause( 13927, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined(
% 2.21/2.60 T, X ) ] )
% 2.21/2.60 , clause( 13928, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 2.21/2.60 defined( T, Z ) ), defined( U, Y ) ] )
% 2.21/2.60 , clause( 13929, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 2.21/2.60 product( T, X, W ) ), product( W, Y, U ) ] )
% 2.21/2.60 , clause( 13930, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 2.21/2.60 'identity_map'( Y ) ), defined( X, Z ) ] )
% 2.21/2.60 , clause( 13931, [ 'identity_map'( domain( X ) ) ] )
% 2.21/2.60 , clause( 13932, [ 'identity_map'( codomain( X ) ) ] )
% 2.21/2.60 , clause( 13933, [ defined( X, domain( X ) ) ] )
% 2.21/2.60 , clause( 13934, [ defined( codomain( X ), X ) ] )
% 2.21/2.60 , clause( 13935, [ product( X, domain( X ), X ) ] )
% 2.21/2.60 , clause( 13936, [ product( codomain( X ), X, X ) ] )
% 2.21/2.60 , clause( 13937, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 2.21/2.60 X, Y, Y ) ] )
% 2.21/2.60 , clause( 13938, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 2.21/2.60 X, Y, X ) ] )
% 2.21/2.60 , clause( 13939, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 2.21/2.60 T ) ] )
% 2.21/2.60 , clause( 13940, [ defined( a, d ) ] )
% 2.21/2.60 , clause( 13941, [ 'identity_map'( d ) ] )
% 2.21/2.60 , clause( 13942, [ ~( =( domain( a ), d ) ) ] )
% 2.21/2.60 ] ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 0, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 2.21/2.60 , clause( 13922, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 2.21/2.60 )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.21/2.60 ), ==>( 1, 1 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 2.21/2.60 ] )
% 2.21/2.60 , clause( 13924, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined(
% 2.21/2.60 Y, T ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.21/2.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 4, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product(
% 2.21/2.60 Y, T, W ) ), product( X, W, U ) ] )
% 2.21/2.60 , clause( 13926, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 2.21/2.60 product( Y, T, W ) ), product( X, W, U ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.21/2.60 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 2.21/2.60 , 2 ), ==>( 3, 3 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.21/2.60 , clause( 13931, [ 'identity_map'( domain( X ) ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 11, [ defined( X, domain( X ) ) ] )
% 2.21/2.60 , clause( 13933, [ defined( X, domain( X ) ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 2.21/2.60 , Y ) ] )
% 2.21/2.60 , clause( 13937, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 2.21/2.60 X, Y, Y ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.21/2.60 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y
% 2.21/2.60 , X ) ] )
% 2.21/2.60 , clause( 13938, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 2.21/2.60 X, Y, X ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.21/2.60 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 2.21/2.60 )
% 2.21/2.60 , clause( 13939, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 2.21/2.60 T ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.21/2.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 18, [ defined( a, d ) ] )
% 2.21/2.60 , clause( 13940, [ defined( a, d ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 19, [ 'identity_map'( d ) ] )
% 2.21/2.60 , clause( 13941, [ 'identity_map'( d ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 20, [ ~( =( domain( a ), d ) ) ] )
% 2.21/2.60 , clause( 13942, [ ~( =( domain( a ), d ) ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14041, [ ~( 'identity_map'( d ) ), product( a, d, a ) ] )
% 2.21/2.60 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.21/2.60 , Y, X ) ] )
% 2.21/2.60 , 0, clause( 18, [ defined( a, d ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, a ), :=( Y, d )] ), substitution( 1, [] )
% 2.21/2.60 ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14042, [ product( a, d, a ) ] )
% 2.21/2.60 , clause( 14041, [ ~( 'identity_map'( d ) ), product( a, d, a ) ] )
% 2.21/2.60 , 0, clause( 19, [ 'identity_map'( d ) ] )
% 2.21/2.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 37, [ product( a, d, a ) ] )
% 2.21/2.60 , clause( 14042, [ product( a, d, a ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14043, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 , clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T
% 2.21/2.60 ) ] )
% 2.21/2.60 , 0, clause( 37, [ product( a, d, a ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, a ), :=( Y, d ), :=( Z, a ), :=( T, X )] ),
% 2.21/2.60 substitution( 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 54, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 , clause( 14043, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.21/2.60 1 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14044, [ defined( d, domain( a ) ) ] )
% 2.21/2.60 , clause( 54, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 , 0, clause( 11, [ defined( X, domain( X ) ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, domain( a ) )] ), substitution( 1, [ :=( X,
% 2.21/2.60 a )] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 59, [ defined( d, domain( a ) ) ] )
% 2.21/2.60 , clause( 14044, [ defined( d, domain( a ) ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14045, [ product( d, X, compose( d, X ) ), ~( defined( a, X ) ) ]
% 2.21/2.60 )
% 2.21/2.60 , clause( 0, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 2.21/2.60 , 0, clause( 54, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 , 1, substitution( 0, [ :=( X, d ), :=( Y, X )] ), substitution( 1, [ :=( X
% 2.21/2.60 , X )] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 60, [ ~( defined( a, X ) ), product( d, X, compose( d, X ) ) ] )
% 2.21/2.60 , clause( 14045, [ product( d, X, compose( d, X ) ), ~( defined( a, X ) ) ]
% 2.21/2.60 )
% 2.21/2.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.21/2.60 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14046, [ defined( d, d ) ] )
% 2.21/2.60 , clause( 54, [ ~( defined( a, X ) ), defined( d, X ) ] )
% 2.21/2.60 , 0, clause( 18, [ defined( a, d ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 61, [ defined( d, d ) ] )
% 2.21/2.60 , clause( 14046, [ defined( d, d ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14047, [ ~( 'identity_map'( d ) ), product( d, d, d ) ] )
% 2.21/2.60 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.21/2.60 , Y, X ) ] )
% 2.21/2.60 , 0, clause( 61, [ defined( d, d ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, d ), :=( Y, d )] ), substitution( 1, [] )
% 2.21/2.60 ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14048, [ product( d, d, d ) ] )
% 2.21/2.60 , clause( 14047, [ ~( 'identity_map'( d ) ), product( d, d, d ) ] )
% 2.21/2.60 , 0, clause( 19, [ 'identity_map'( d ) ] )
% 2.21/2.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 63, [ product( d, d, d ) ] )
% 2.21/2.60 , clause( 14048, [ product( d, d, d ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14049, [ ~( 'identity_map'( domain( a ) ) ), product( d, domain( a
% 2.21/2.60 ), d ) ] )
% 2.21/2.60 , clause( 16, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 2.21/2.60 , Y, X ) ] )
% 2.21/2.60 , 0, clause( 59, [ defined( d, domain( a ) ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, d ), :=( Y, domain( a ) )] ), substitution(
% 2.21/2.60 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14050, [ product( d, domain( a ), d ) ] )
% 2.21/2.60 , clause( 14049, [ ~( 'identity_map'( domain( a ) ) ), product( d, domain(
% 2.21/2.60 a ), d ) ] )
% 2.21/2.60 , 0, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 2.21/2.60 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 109, [ product( d, domain( a ), d ) ] )
% 2.21/2.60 , clause( 14050, [ product( d, domain( a ), d ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14053, [ ~( product( X, d, Y ) ), ~( product( Y, domain( a ), Z ) )
% 2.21/2.60 , product( X, d, Z ) ] )
% 2.21/2.60 , clause( 4, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product(
% 2.21/2.60 Y, T, W ) ), product( X, W, U ) ] )
% 2.21/2.60 , 2, clause( 109, [ product( d, domain( a ), d ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, d ), :=( Z, Y ), :=( T, domain(
% 2.21/2.60 a ) ), :=( U, Z ), :=( W, d )] ), substitution( 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 133, [ ~( product( X, d, Y ) ), ~( product( Y, domain( a ), Z ) ),
% 2.21/2.60 product( X, d, Z ) ] )
% 2.21/2.60 , clause( 14053, [ ~( product( X, d, Y ) ), ~( product( Y, domain( a ), Z )
% 2.21/2.60 ), product( X, d, Z ) ] )
% 2.21/2.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.21/2.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14055, [ ~( 'identity_map'( d ) ), product( d, domain( a ), domain(
% 2.21/2.60 a ) ) ] )
% 2.21/2.60 , clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X
% 2.21/2.60 , Y, Y ) ] )
% 2.21/2.60 , 0, clause( 59, [ defined( d, domain( a ) ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, d ), :=( Y, domain( a ) )] ), substitution(
% 2.21/2.60 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14056, [ product( d, domain( a ), domain( a ) ) ] )
% 2.21/2.60 , clause( 14055, [ ~( 'identity_map'( d ) ), product( d, domain( a ),
% 2.21/2.60 domain( a ) ) ] )
% 2.21/2.60 , 0, clause( 19, [ 'identity_map'( d ) ] )
% 2.21/2.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 subsumption(
% 2.21/2.60 clause( 592, [ product( d, domain( a ), domain( a ) ) ] )
% 2.21/2.60 , clause( 14056, [ product( d, domain( a ), domain( a ) ) ] )
% 2.21/2.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.21/2.60
% 2.21/2.60
% 2.21/2.60 resolution(
% 2.21/2.60 clause( 14057, [ ~( product( d, d, X ) ), =( d, X ) ] )
% 2.21/2.60 , clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 2.21/2.60 ] )
% 2.21/2.60 , 0, clause( 63, [ product( d, d, d ) ] )
% 2.21/2.60 , 0, substitution( 0, [ :=( X, d ), :=( Y, d ), :=( Z, d ), :=( T, X )] ),
% 2.21/2.62 substitution( 1, [] )).
% 2.21/2.62
% 2.21/2.62
% 2.21/2.62 subsumption(
% 2.21/2.62 clause( 658, [ ~( product( d, d, X ) ), =( d, X ) ] )
% 2.21/2.62 , clause( 14057, [ ~( product( d, d, X ) ), =( d, X ) ] )
% 2.21/2.62 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.21/2.62 1 )] ) ).
% 2.21/2.62
% 2.21/2.62
% 2.21/2.62 assignments is full
% 2.21/2.62
% 2.21/2.62 Memory use:
% 2.21/2.62
% 2.21/2.62 space for terms: 196141
% 2.21/2.62 space for clauses: 628240
% 2.21/2.62
% 2.21/2.62
% 2.21/2.62 clauses generated: 47680
% 2.21/2.62 clauses kept: 13921
% 2.21/2.62 clauses selected: 494
% 2.21/2.62 clauses deleted: 51
% 2.21/2.62 clauses inuse deleted: 18
% 2.21/2.62
% 2.21/2.62 subsentry: 885968
% 2.21/2.62 literals s-matched: 335175
% 2.21/2.62 literals matched: 265720
% 2.21/2.62 full subsumption: 152939
% 2.21/2.62
% 2.21/2.62 checksum: 1407066744
% 2.21/2.62
% 2.21/2.62
% 2.21/2.62 Bliksem ended
%------------------------------------------------------------------------------