TSTP Solution File: GRP004-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:34:14 EDT 2022
% Result : Unsatisfiable 0.38s 1.00s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.11 % Command : bliksem %s
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % DateTime : Mon Jun 13 09:24:52 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.38/1.00 *** allocated 10000 integers for termspace/termends
% 0.38/1.00 *** allocated 10000 integers for clauses
% 0.38/1.00 *** allocated 10000 integers for justifications
% 0.38/1.00 Bliksem 1.12
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 Automatic Strategy Selection
% 0.38/1.00
% 0.38/1.00 Clauses:
% 0.38/1.00 [
% 0.38/1.00 [ product( inverse( X ), X, identity ) ],
% 0.38/1.00 [ product( identity, X, X ) ],
% 0.38/1.00 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.38/1.00 ) ), product( X, U, W ) ],
% 0.38/1.00 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.38/1.00 ) ), product( Z, T, W ) ],
% 0.38/1.00 [ ~( product( a, X, identity ) ) ]
% 0.38/1.00 ] .
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 percentage equality = 0.000000, percentage horn = 1.000000
% 0.38/1.00 This is a near-Horn, non-equality problem
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 Options Used:
% 0.38/1.00
% 0.38/1.00 useres = 1
% 0.38/1.00 useparamod = 0
% 0.38/1.00 useeqrefl = 0
% 0.38/1.00 useeqfact = 0
% 0.38/1.00 usefactor = 1
% 0.38/1.00 usesimpsplitting = 0
% 0.38/1.00 usesimpdemod = 0
% 0.38/1.00 usesimpres = 4
% 0.38/1.00
% 0.38/1.00 resimpinuse = 1000
% 0.38/1.00 resimpclauses = 20000
% 0.38/1.00 substype = standard
% 0.38/1.00 backwardsubs = 1
% 0.38/1.00 selectoldest = 5
% 0.38/1.00
% 0.38/1.00 litorderings [0] = split
% 0.38/1.00 litorderings [1] = liftord
% 0.38/1.00
% 0.38/1.00 termordering = none
% 0.38/1.00
% 0.38/1.00 litapriori = 1
% 0.38/1.00 termapriori = 0
% 0.38/1.00 litaposteriori = 0
% 0.38/1.00 termaposteriori = 0
% 0.38/1.00 demodaposteriori = 0
% 0.38/1.00 ordereqreflfact = 0
% 0.38/1.00
% 0.38/1.00 litselect = negative
% 0.38/1.00
% 0.38/1.00 maxweight = 30000
% 0.38/1.00 maxdepth = 30000
% 0.38/1.00 maxlength = 115
% 0.38/1.00 maxnrvars = 195
% 0.38/1.00 excuselevel = 0
% 0.38/1.00 increasemaxweight = 0
% 0.38/1.00
% 0.38/1.00 maxselected = 10000000
% 0.38/1.00 maxnrclauses = 10000000
% 0.38/1.00
% 0.38/1.00 showgenerated = 0
% 0.38/1.00 showkept = 0
% 0.38/1.00 showselected = 0
% 0.38/1.00 showdeleted = 0
% 0.38/1.00 showresimp = 1
% 0.38/1.00 showstatus = 2000
% 0.38/1.00
% 0.38/1.00 prologoutput = 1
% 0.38/1.00 nrgoals = 5000000
% 0.38/1.00 totalproof = 1
% 0.38/1.00
% 0.38/1.00 Symbols occurring in the translation:
% 0.38/1.00
% 0.38/1.00 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.38/1.00 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.38/1.00 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.38/1.00 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.38/1.00 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.38/1.00 inverse [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.38/1.00 identity [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.38/1.00 product [42, 3] (w:1, o:48, a:1, s:1, b:0),
% 0.38/1.00 a [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 Starting Search:
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 Bliksems!, er is een bewijs:
% 0.38/1.00 % SZS status Unsatisfiable
% 0.38/1.00 % SZS output start Refutation
% 0.38/1.00
% 0.38/1.00 clause( 0, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 1, [ product( identity, X, X ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.38/1.00 U, W ), ~( product( Z, T, W ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 0.38/1.00 T, W ), ~( product( Y, T, U ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 4, [ ~( product( a, X, identity ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 8, [ product( Z, T, Z ), ~( product( X, Y, Z ) ), ~( product( Y, T
% 0.38/1.00 , Y ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 11, [ product( X, identity, X ), ~( product( Y, identity, X ) ) ]
% 0.38/1.00 )
% 0.38/1.00 .
% 0.38/1.00 clause( 12, [ product( T, Z, identity ), ~( product( X, Y, Z ) ), ~(
% 0.38/1.00 product( T, X, inverse( Y ) ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 13, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.38/1.00 , identity ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 16, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 19, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.38/1.00 product( X, Z, T ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 20, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 36, [ product( X, identity, X ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 222, [ product( Y, identity, X ), ~( product( X, identity, Y ) ) ]
% 0.38/1.00 )
% 0.38/1.00 .
% 0.38/1.00 clause( 362, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 400, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 0.38/1.00 ), Y ) ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 511, [ product( X, inverse( X ), identity ) ] )
% 0.38/1.00 .
% 0.38/1.00 clause( 519, [] )
% 0.38/1.00 .
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 % SZS output end Refutation
% 0.38/1.00 found a proof!
% 0.38/1.00
% 0.38/1.00 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.38/1.00
% 0.38/1.00 initialclauses(
% 0.38/1.00 [ clause( 521, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 , clause( 522, [ product( identity, X, X ) ] )
% 0.38/1.00 , clause( 523, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.38/1.00 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.38/1.00 , clause( 524, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.38/1.00 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.38/1.00 , clause( 525, [ ~( product( a, X, identity ) ) ] )
% 0.38/1.00 ] ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 0, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 , clause( 521, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 1, [ product( identity, X, X ) ] )
% 0.38/1.00 , clause( 522, [ product( identity, X, X ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.38/1.00 U, W ), ~( product( Z, T, W ) ) ] )
% 0.38/1.00 , clause( 523, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.38/1.00 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.38/1.00 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.38/1.00 , 3 ), ==>( 3, 2 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 0.38/1.00 T, W ), ~( product( Y, T, U ) ) ] )
% 0.38/1.00 , clause( 524, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.38/1.00 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.38/1.00 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.38/1.00 , 1 ), ==>( 3, 2 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 4, [ ~( product( a, X, identity ) ) ] )
% 0.38/1.00 , clause( 525, [ ~( product( a, X, identity ) ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 factor(
% 0.38/1.00 clause( 546, [ ~( product( X, Y, Z ) ), product( Z, T, Z ), ~( product( Y,
% 0.38/1.00 T, Y ) ) ] )
% 0.38/1.00 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 0.38/1.00 , T, W ), ~( product( Y, T, U ) ) ] )
% 0.38/1.00 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.38/1.00 :=( U, Y ), :=( W, Z )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 8, [ product( Z, T, Z ), ~( product( X, Y, Z ) ), ~( product( Y, T
% 0.38/1.00 , Y ) ) ] )
% 0.38/1.00 , clause( 546, [ ~( product( X, Y, Z ) ), product( Z, T, Z ), ~( product( Y
% 0.38/1.00 , T, Y ) ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.38/1.00 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 551, [ product( X, identity, X ), ~( product( Y, identity, X ) ) ]
% 0.38/1.00 )
% 0.38/1.00 , clause( 8, [ product( Z, T, Z ), ~( product( X, Y, Z ) ), ~( product( Y,
% 0.38/1.00 T, Y ) ) ] )
% 0.38/1.00 , 2, clause( 1, [ product( identity, X, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, X ), :=( T,
% 0.38/1.00 identity )] ), substitution( 1, [ :=( X, identity )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 11, [ product( X, identity, X ), ~( product( Y, identity, X ) ) ]
% 0.38/1.00 )
% 0.38/1.00 , clause( 551, [ product( X, identity, X ), ~( product( Y, identity, X ) )
% 0.38/1.00 ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.38/1.00 ), ==>( 1, 1 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 554, [ ~( product( X, Y, Z ) ), ~( product( T, X, inverse( Y ) ) )
% 0.38/1.00 , product( T, Z, identity ) ] )
% 0.38/1.00 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.38/1.00 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.38/1.00 , 3, clause( 0, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, inverse( Y ) ), :=(
% 0.38/1.00 T, Y ), :=( U, Z ), :=( W, identity )] ), substitution( 1, [ :=( X, Y )] )
% 0.38/1.00 ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 12, [ product( T, Z, identity ), ~( product( X, Y, Z ) ), ~(
% 0.38/1.00 product( T, X, inverse( Y ) ) ) ] )
% 0.38/1.00 , clause( 554, [ ~( product( X, Y, Z ) ), ~( product( T, X, inverse( Y ) )
% 0.38/1.00 ), product( T, Z, identity ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.38/1.00 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 559, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.38/1.00 product( T, Z, Y ) ] )
% 0.38/1.00 , clause( 2, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.38/1.00 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.38/1.00 , 3, clause( 1, [ product( identity, X, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, identity ), :=( T, Y
% 0.38/1.00 ), :=( U, Z ), :=( W, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 13, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.38/1.00 , identity ) ) ] )
% 0.38/1.00 , clause( 559, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.38/1.00 product( T, Z, Y ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.38/1.00 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 564, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.38/1.00 , clause( 13, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 0.38/1.00 , X, identity ) ) ] )
% 0.38/1.00 , 2, clause( 0, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 0.38/1.00 X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 16, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.38/1.00 , clause( 564, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 0.38/1.00 )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.38/1.00 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 567, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.38/1.00 product( Y, Z, T ) ] )
% 0.38/1.00 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 0.38/1.00 , T, W ), ~( product( Y, T, U ) ) ] )
% 0.38/1.00 , 3, clause( 1, [ product( identity, X, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T, Z
% 0.38/1.00 ), :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, Z )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 19, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.38/1.00 product( X, Z, T ) ) ] )
% 0.38/1.00 , clause( 567, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.38/1.00 product( Y, Z, T ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.38/1.00 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 571, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.38/1.00 , clause( 16, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.38/1.00 , 1, clause( 0, [ product( inverse( X ), X, identity ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.38/1.00 )] ), substitution( 1, [ :=( X, X )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 20, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.38/1.00 , clause( 571, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 572, [ product( X, identity, X ) ] )
% 0.38/1.00 , clause( 11, [ product( X, identity, X ), ~( product( Y, identity, X ) ) ]
% 0.38/1.00 )
% 0.38/1.00 , 1, clause( 20, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] ),
% 0.38/1.00 substitution( 1, [ :=( X, X )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 36, [ product( X, identity, X ) ] )
% 0.38/1.00 , clause( 572, [ product( X, identity, X ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 574, [ ~( product( X, identity, Y ) ), product( Y, identity, X ) ]
% 0.38/1.00 )
% 0.38/1.00 , clause( 19, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.38/1.00 product( X, Z, T ) ) ] )
% 0.38/1.00 , 2, clause( 36, [ product( X, identity, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T, X
% 0.38/1.00 )] ), substitution( 1, [ :=( X, X )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 222, [ product( Y, identity, X ), ~( product( X, identity, Y ) ) ]
% 0.38/1.00 )
% 0.38/1.00 , clause( 574, [ ~( product( X, identity, Y ) ), product( Y, identity, X )
% 0.38/1.00 ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.38/1.00 ), ==>( 1, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 575, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 0.38/1.00 , clause( 222, [ product( Y, identity, X ), ~( product( X, identity, Y ) )
% 0.38/1.00 ] )
% 0.38/1.00 , 1, clause( 20, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] ),
% 0.38/1.00 substitution( 1, [ :=( X, X )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 362, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 0.38/1.00 , clause( 575, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 577, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 0.38/1.00 ), Y ) ) ] )
% 0.38/1.00 , clause( 12, [ product( T, Z, identity ), ~( product( X, Y, Z ) ), ~(
% 0.38/1.00 product( T, X, inverse( Y ) ) ) ] )
% 0.38/1.00 , 2, clause( 362, [ product( X, identity, inverse( inverse( X ) ) ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) ), :=( Z, Y
% 0.38/1.00 ), :=( T, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 400, [ product( X, Y, identity ), ~( product( identity, inverse( X
% 0.38/1.00 ), Y ) ) ] )
% 0.38/1.00 , clause( 577, [ product( X, Y, identity ), ~( product( identity, inverse(
% 0.38/1.00 X ), Y ) ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.38/1.00 ), ==>( 1, 1 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 578, [ product( X, inverse( X ), identity ) ] )
% 0.38/1.00 , clause( 400, [ product( X, Y, identity ), ~( product( identity, inverse(
% 0.38/1.00 X ), Y ) ) ] )
% 0.38/1.00 , 1, clause( 1, [ product( identity, X, X ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.38/1.00 substitution( 1, [ :=( X, inverse( X ) )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 511, [ product( X, inverse( X ), identity ) ] )
% 0.38/1.00 , clause( 578, [ product( X, inverse( X ), identity ) ] )
% 0.38/1.00 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 resolution(
% 0.38/1.00 clause( 579, [] )
% 0.38/1.00 , clause( 4, [ ~( product( a, X, identity ) ) ] )
% 0.38/1.00 , 0, clause( 511, [ product( X, inverse( X ), identity ) ] )
% 0.38/1.00 , 0, substitution( 0, [ :=( X, inverse( a ) )] ), substitution( 1, [ :=( X
% 0.38/1.00 , a )] )).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 subsumption(
% 0.38/1.00 clause( 519, [] )
% 0.38/1.00 , clause( 579, [] )
% 0.38/1.00 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 end.
% 0.38/1.00
% 0.38/1.00 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.38/1.00
% 0.38/1.00 Memory use:
% 0.38/1.00
% 0.38/1.00 space for terms: 7299
% 0.38/1.00 space for clauses: 25452
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 clauses generated: 981
% 0.38/1.00 clauses kept: 520
% 0.38/1.00 clauses selected: 83
% 0.38/1.00 clauses deleted: 9
% 0.38/1.00 clauses inuse deleted: 0
% 0.38/1.00
% 0.38/1.00 subsentry: 5499
% 0.38/1.00 literals s-matched: 1484
% 0.38/1.00 literals matched: 1253
% 0.38/1.00 full subsumption: 279
% 0.38/1.00
% 0.38/1.00 checksum: 1871977833
% 0.38/1.00
% 0.38/1.00
% 0.38/1.00 Bliksem ended
%------------------------------------------------------------------------------