%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP045-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 : Sat Jul 16 07:34:34 EDT 2022
% Result : Unsatisfiable 0.74s 1.25s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP045-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 08:39:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.24 *** allocated 10000 integers for termspace/termends
% 0.74/1.24 *** allocated 10000 integers for clauses
% 0.74/1.24 *** allocated 10000 integers for justifications
% 0.74/1.24 Bliksem 1.12
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Automatic Strategy Selection
% 0.74/1.24
% 0.74/1.24 Clauses:
% 0.74/1.24 [
% 0.74/1.24 [ product( identity, X, X ) ],
% 0.74/1.24 [ product( inverse( X ), X, identity ) ],
% 0.74/1.24 [ product( X, Y, multiply( X, Y ) ) ],
% 0.74/1.24 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.74/1.24 ,
% 0.74/1.24 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.74/1.24 ) ), product( X, U, W ) ],
% 0.74/1.24 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.74/1.24 ) ), product( Z, T, W ) ],
% 0.74/1.24 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.74/1.24 ,
% 0.74/1.24 [ equalish( a, b ) ],
% 0.74/1.24 [ product( c, a, result ) ],
% 0.74/1.24 [ ~( product( c, b, result ) ) ]
% 0.74/1.24 ] .
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 percentage equality = 0.000000, percentage horn = 1.000000
% 0.74/1.24 This is a near-Horn, non-equality problem
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Options Used:
% 0.74/1.24
% 0.74/1.24 useres = 1
% 0.74/1.24 useparamod = 0
% 0.74/1.24 useeqrefl = 0
% 0.74/1.24 useeqfact = 0
% 0.74/1.24 usefactor = 1
% 0.74/1.24 usesimpsplitting = 0
% 0.74/1.25 usesimpdemod = 0
% 0.74/1.25 usesimpres = 4
% 0.74/1.25
% 0.74/1.25 resimpinuse = 1000
% 0.74/1.25 resimpclauses = 20000
% 0.74/1.25 substype = standard
% 0.74/1.25 backwardsubs = 1
% 0.74/1.25 selectoldest = 5
% 0.74/1.25
% 0.74/1.25 litorderings [0] = split
% 0.74/1.25 litorderings [1] = liftord
% 0.74/1.25
% 0.74/1.25 termordering = none
% 0.74/1.25
% 0.74/1.25 litapriori = 1
% 0.74/1.25 termapriori = 0
% 0.74/1.25 litaposteriori = 0
% 0.74/1.25 termaposteriori = 0
% 0.74/1.25 demodaposteriori = 0
% 0.74/1.25 ordereqreflfact = 0
% 0.74/1.25
% 0.74/1.25 litselect = negative
% 0.74/1.25
% 0.74/1.25 maxweight = 30000
% 0.74/1.25 maxdepth = 30000
% 0.74/1.25 maxlength = 115
% 0.74/1.25 maxnrvars = 195
% 0.74/1.25 excuselevel = 0
% 0.74/1.25 increasemaxweight = 0
% 0.74/1.25
% 0.74/1.25 maxselected = 10000000
% 0.74/1.25 maxnrclauses = 10000000
% 0.74/1.25
% 0.74/1.25 showgenerated = 0
% 0.74/1.25 showkept = 0
% 0.74/1.25 showselected = 0
% 0.74/1.25 showdeleted = 0
% 0.74/1.25 showresimp = 1
% 0.74/1.25 showstatus = 2000
% 0.74/1.25
% 0.74/1.25 prologoutput = 1
% 0.74/1.25 nrgoals = 5000000
% 0.74/1.25 totalproof = 1
% 0.74/1.25
% 0.74/1.25 Symbols occurring in the translation:
% 0.74/1.25
% 0.74/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.25 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.25 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.25 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.74/1.25 product [41, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.25 inverse [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.25 multiply [44, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.74/1.25 equalish [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.74/1.25 a [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.74/1.25 b [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.74/1.25 c [52, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.74/1.25 result [53, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 Starting Search:
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 Intermediate Status:
% 0.74/1.25 Generated: 2948
% 0.74/1.25 Kept: 2008
% 0.74/1.25 Inuse: 285
% 0.74/1.25 Deleted: 15
% 0.74/1.25 Deletedinuse: 6
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 Intermediate Status:
% 0.74/1.25 Generated: 5934
% 0.74/1.25 Kept: 4018
% 0.74/1.25 Inuse: 474
% 0.74/1.25 Deleted: 29
% 0.74/1.25 Deletedinuse: 9
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 Intermediate Status:
% 0.74/1.25 Generated: 8682
% 0.74/1.25 Kept: 6026
% 0.74/1.25 Inuse: 595
% 0.74/1.25 Deleted: 75
% 0.74/1.25 Deletedinuse: 50
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25 Resimplifying inuse:
% 0.74/1.25 Done
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 Bliksems!, er is een bewijs:
% 0.74/1.25 % SZS status Unsatisfiable
% 0.74/1.25 % SZS output start Refutation
% 0.74/1.25
% 0.74/1.25 clause( 0, [ product( identity, X, X ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.74/1.25 ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.74/1.25 U, W ), ~( product( Z, T, W ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 0.74/1.25 T, W ), ~( product( Y, T, U ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.74/1.25 ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 7, [ equalish( a, b ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 8, [ product( c, a, result ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 9, [ ~( product( c, b, result ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 21, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 27, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 0.74/1.25 ~( product( T, X, U ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 30, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.74/1.25 , identity ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 39, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.74/1.25 product( X, Z, T ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 40, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.74/1.25 )
% 0.74/1.25 .
% 0.74/1.25 clause( 51, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 54, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 60, [ product( identity, a, b ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 67, [ equalish( X, b ), ~( product( identity, a, X ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 185, [ product( c, Y, multiply( result, X ) ), ~( product( a, X, Y
% 0.74/1.25 ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 239, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3242, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3457, [ product( X, identity, X ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3479, [ equalish( X, multiply( X, identity ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3482, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3500, [ product( identity, X, multiply( X, identity ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3517, [ equalish( multiply( a, identity ), b ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 3530, [ product( a, identity, b ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 5552, [ product( c, b, multiply( result, identity ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 5566, [ equalish( multiply( result, identity ), multiply( c, b ) )
% 0.74/1.25 ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 5586, [ product( result, identity, multiply( c, b ) ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 7123, [ equalish( multiply( c, b ), result ) ] )
% 0.74/1.25 .
% 0.74/1.25 clause( 7135, [] )
% 0.74/1.25 .
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 % SZS output end Refutation
% 0.74/1.25 found a proof!
% 0.74/1.25
% 0.74/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.25
% 0.74/1.25 initialclauses(
% 0.74/1.25 [ clause( 7137, [ product( identity, X, X ) ] )
% 0.74/1.25 , clause( 7138, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.25 , clause( 7139, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 , clause( 7140, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.74/1.25 equalish( Z, T ) ] )
% 0.74/1.25 , clause( 7141, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.25 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.25 , clause( 7142, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.25 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.25 , clause( 7143, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.74/1.25 Z, T, Y ) ] )
% 0.74/1.25 , clause( 7144, [ equalish( a, b ) ] )
% 0.74/1.25 , clause( 7145, [ product( c, a, result ) ] )
% 0.74/1.25 , clause( 7146, [ ~( product( c, b, result ) ) ] )
% 0.74/1.25 ] ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 0, [ product( identity, X, X ) ] )
% 0.74/1.25 , clause( 7137, [ product( identity, X, X ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.25 , clause( 7138, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 , clause( 7139, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.25 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.74/1.25 ) ) ] )
% 0.74/1.25 , clause( 7140, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.74/1.25 equalish( Z, T ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.74/1.25 U, W ), ~( product( Z, T, W ) ) ] )
% 0.74/1.25 , clause( 7141, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.25 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.25 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.74/1.25 , 3 ), ==>( 3, 2 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 0.74/1.25 T, W ), ~( product( Y, T, U ) ) ] )
% 0.74/1.25 , clause( 7142, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.25 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.25 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.74/1.25 , 1 ), ==>( 3, 2 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.74/1.25 ) ) ] )
% 0.74/1.25 , clause( 7143, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.74/1.25 Z, T, Y ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 7, [ equalish( a, b ) ] )
% 0.74/1.25 , clause( 7144, [ equalish( a, b ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 8, [ product( c, a, result ) ] )
% 0.74/1.25 , clause( 7145, [ product( c, a, result ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 9, [ ~( product( c, b, result ) ) ] )
% 0.74/1.25 , clause( 7146, [ ~( product( c, b, result ) ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7199, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.74/1.25 , T ) ) ] )
% 0.74/1.25 , 2, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, multiply(
% 0.74/1.25 Y, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 21, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.74/1.25 , clause( 7199, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) )
% 0.74/1.25 ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7202, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 0.74/1.25 T, Z, multiply( U, Y ) ) ] )
% 0.74/1.25 , clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.74/1.25 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.74/1.25 , 3, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, U ), :=( T, Y ),
% 0.74/1.25 :=( U, Z ), :=( W, multiply( U, Y ) )] ), substitution( 1, [ :=( X, U ),
% 0.74/1.25 :=( Y, Y )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 27, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 0.74/1.25 ~( product( T, X, U ) ) ] )
% 0.74/1.25 , clause( 7202, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 0.74/1.25 T, Z, multiply( U, Y ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.25 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.74/1.25 ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7207, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.74/1.25 product( T, Z, Y ) ] )
% 0.74/1.25 , clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.74/1.25 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.74/1.25 , 3, clause( 0, [ product( identity, X, X ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, identity ), :=( T, Y
% 0.74/1.25 ), :=( U, Z ), :=( W, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 30, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.74/1.25 , identity ) ) ] )
% 0.74/1.25 , clause( 7207, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.74/1.25 product( T, Z, Y ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7213, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.25 product( Y, Z, T ) ] )
% 0.74/1.25 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 0.74/1.25 , T, W ), ~( product( Y, T, U ) ) ] )
% 0.74/1.25 , 3, clause( 0, [ product( identity, X, X ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T, Z
% 0.74/1.25 ), :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, Z )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 39, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.74/1.25 product( X, Z, T ) ) ] )
% 0.74/1.25 , clause( 7213, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.25 product( Y, Z, T ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 factor(
% 0.74/1.25 clause( 7217, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.74/1.25 )
% 0.74/1.25 , clause( 39, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.74/1.25 product( X, Z, T ) ) ] )
% 0.74/1.25 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T
% 0.74/1.25 , Y )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 40, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , clause( 7217, [ ~( product( X, identity, Y ) ), product( Y, identity, Y )
% 0.74/1.25 ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.25 ), ==>( 1, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7218, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z ) ]
% 0.74/1.25 )
% 0.74/1.25 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.74/1.25 , X ) ) ] )
% 0.74/1.25 , 2, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.74/1.25 :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 51, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.74/1.25 , clause( 7218, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z )
% 0.74/1.25 ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7219, [ ~( equalish( X, Y ) ), product( identity, X, Y ) ] )
% 0.74/1.25 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.74/1.25 , X ) ) ] )
% 0.74/1.25 , 2, clause( 0, [ product( identity, X, X ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T, X
% 0.74/1.25 )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 54, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.74/1.25 , clause( 7219, [ ~( equalish( X, Y ) ), product( identity, X, Y ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.25 ), ==>( 1, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7220, [ product( identity, a, b ) ] )
% 0.74/1.25 , clause( 54, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.74/1.25 , 1, clause( 7, [ equalish( a, b ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.74/1.25 ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 60, [ product( identity, a, b ) ] )
% 0.74/1.25 , clause( 7220, [ product( identity, a, b ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7222, [ equalish( X, b ), ~( product( identity, a, X ) ) ] )
% 0.74/1.25 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.74/1.25 , T ) ) ] )
% 0.74/1.25 , 2, clause( 60, [ product( identity, a, b ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, identity ), :=( Y, a ), :=( Z, X ), :=( T, b
% 0.74/1.25 )] ), substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 67, [ equalish( X, b ), ~( product( identity, a, X ) ) ] )
% 0.74/1.25 , clause( 7222, [ equalish( X, b ), ~( product( identity, a, X ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.25 1 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7224, [ ~( product( a, X, Y ) ), product( c, Y, multiply( result, X
% 0.74/1.25 ) ) ] )
% 0.74/1.25 , clause( 27, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) )
% 0.74/1.25 , ~( product( T, X, U ) ) ] )
% 0.74/1.25 , 2, clause( 8, [ product( c, a, result ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, c ),
% 0.74/1.25 :=( U, result )] ), substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 185, [ product( c, Y, multiply( result, X ) ), ~( product( a, X, Y
% 0.74/1.25 ) ) ] )
% 0.74/1.25 , clause( 7224, [ ~( product( a, X, Y ) ), product( c, Y, multiply( result
% 0.74/1.25 , X ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.25 ), ==>( 1, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7226, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.74/1.25 , clause( 30, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 0.74/1.25 , X, identity ) ) ] )
% 0.74/1.25 , 2, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 0.74/1.25 X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 239, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.74/1.25 , clause( 7226, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 0.74/1.25 )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7227, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.74/1.25 , clause( 239, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.74/1.25 )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3242, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.74/1.25 , clause( 7227, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7228, [ product( X, identity, X ) ] )
% 0.74/1.25 , clause( 40, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 3242, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] ),
% 0.74/1.25 substitution( 1, [ :=( X, X )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3457, [ product( X, identity, X ) ] )
% 0.74/1.25 , clause( 7228, [ product( X, identity, X ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7229, [ equalish( X, multiply( X, identity ) ) ] )
% 0.74/1.25 , clause( 21, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 3457, [ product( X, identity, X ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ),
% 0.74/1.25 substitution( 1, [ :=( X, X )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3479, [ equalish( X, multiply( X, identity ) ) ] )
% 0.74/1.25 , clause( 7229, [ equalish( X, multiply( X, identity ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7231, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.74/1.25 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.74/1.25 , T ) ) ] )
% 0.74/1.25 , 2, clause( 3457, [ product( X, identity, X ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 0.74/1.25 )] ), substitution( 1, [ :=( X, Y )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3482, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.74/1.25 , clause( 7231, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.25 ), ==>( 1, 1 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7232, [ product( identity, X, multiply( X, identity ) ) ] )
% 0.74/1.25 , clause( 54, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.74/1.25 , 1, clause( 3479, [ equalish( X, multiply( X, identity ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, identity ) )] ),
% 0.74/1.25 substitution( 1, [ :=( X, X )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3500, [ product( identity, X, multiply( X, identity ) ) ] )
% 0.74/1.25 , clause( 7232, [ product( identity, X, multiply( X, identity ) ) ] )
% 0.74/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7233, [ equalish( multiply( a, identity ), b ) ] )
% 0.74/1.25 , clause( 67, [ equalish( X, b ), ~( product( identity, a, X ) ) ] )
% 0.74/1.25 , 1, clause( 3500, [ product( identity, X, multiply( X, identity ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, multiply( a, identity ) )] ), substitution(
% 0.74/1.25 1, [ :=( X, a )] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3517, [ equalish( multiply( a, identity ), b ) ] )
% 0.74/1.25 , clause( 7233, [ equalish( multiply( a, identity ), b ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7234, [ product( a, identity, b ) ] )
% 0.74/1.25 , clause( 51, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 3517, [ equalish( multiply( a, identity ), b ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, a ), :=( Y, identity ), :=( Z, b )] ),
% 0.74/1.25 substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 3530, [ product( a, identity, b ) ] )
% 0.74/1.25 , clause( 7234, [ product( a, identity, b ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7235, [ product( c, b, multiply( result, identity ) ) ] )
% 0.74/1.25 , clause( 185, [ product( c, Y, multiply( result, X ) ), ~( product( a, X,
% 0.74/1.25 Y ) ) ] )
% 0.74/1.25 , 1, clause( 3530, [ product( a, identity, b ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, identity ), :=( Y, b )] ), substitution( 1
% 0.74/1.25 , [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 5552, [ product( c, b, multiply( result, identity ) ) ] )
% 0.74/1.25 , clause( 7235, [ product( c, b, multiply( result, identity ) ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7236, [ equalish( multiply( result, identity ), multiply( c, b ) )
% 0.74/1.25 ] )
% 0.74/1.25 , clause( 21, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 5552, [ product( c, b, multiply( result, identity ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, multiply( result, identity ) ), :=( Y, c ),
% 0.74/1.25 :=( Z, b )] ), substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 5566, [ equalish( multiply( result, identity ), multiply( c, b ) )
% 0.74/1.25 ] )
% 0.74/1.25 , clause( 7236, [ equalish( multiply( result, identity ), multiply( c, b )
% 0.74/1.25 ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7237, [ product( result, identity, multiply( c, b ) ) ] )
% 0.74/1.25 , clause( 51, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 5566, [ equalish( multiply( result, identity ), multiply( c, b
% 0.74/1.25 ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, result ), :=( Y, identity ), :=( Z, multiply(
% 0.74/1.25 c, b ) )] ), substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 5586, [ product( result, identity, multiply( c, b ) ) ] )
% 0.74/1.25 , clause( 7237, [ product( result, identity, multiply( c, b ) ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7238, [ equalish( multiply( c, b ), result ) ] )
% 0.74/1.25 , clause( 3482, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.74/1.25 , 1, clause( 5586, [ product( result, identity, multiply( c, b ) ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, multiply( c, b ) ), :=( Y, result )] ),
% 0.74/1.25 substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 7123, [ equalish( multiply( c, b ), result ) ] )
% 0.74/1.25 , clause( 7238, [ equalish( multiply( c, b ), result ) ] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7239, [ product( c, b, result ) ] )
% 0.74/1.25 , clause( 51, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.74/1.25 )
% 0.74/1.25 , 1, clause( 7123, [ equalish( multiply( c, b ), result ) ] )
% 0.74/1.25 , 0, substitution( 0, [ :=( X, c ), :=( Y, b ), :=( Z, result )] ),
% 0.74/1.25 substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 resolution(
% 0.74/1.25 clause( 7240, [] )
% 0.74/1.25 , clause( 9, [ ~( product( c, b, result ) ) ] )
% 0.74/1.25 , 0, clause( 7239, [ product( c, b, result ) ] )
% 0.74/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 subsumption(
% 0.74/1.25 clause( 7135, [] )
% 0.74/1.25 , clause( 7240, [] )
% 0.74/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 end.
% 0.74/1.25
% 0.74/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.25
% 0.74/1.25 Memory use:
% 0.74/1.25
% 0.74/1.25 space for terms: 91159
% 0.74/1.25 space for clauses: 387927
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 clauses generated: 10166
% 0.74/1.25 clauses kept: 7136
% 0.74/1.25 clauses selected: 654
% 0.74/1.25 clauses deleted: 89
% 0.74/1.25 clauses inuse deleted: 63
% 0.74/1.25
% 0.74/1.25 subsentry: 41301
% 0.74/1.25 literals s-matched: 15284
% 0.74/1.25 literals matched: 13042
% 0.74/1.25 full subsumption: 1748
% 0.74/1.25
% 0.74/1.25 checksum: 432254169
% 0.74/1.25
% 0.74/1.25
% 0.74/1.25 Bliksem ended
%------------------------------------------------------------------------------