TSTP Solution File: GRP033-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 07:34:28 EDT 2022
% Result : Unsatisfiable 0.68s 1.08s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.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 : Mon Jun 13 06:54:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.08 *** allocated 10000 integers for termspace/termends
% 0.68/1.08 *** allocated 10000 integers for clauses
% 0.68/1.08 *** allocated 10000 integers for justifications
% 0.68/1.08 Bliksem 1.12
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Automatic Strategy Selection
% 0.68/1.08
% 0.68/1.08 Clauses:
% 0.68/1.08 [
% 0.68/1.08 [ equalish( X, X ) ],
% 0.68/1.08 [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 0.68/1.08 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.68/1.08 [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y ) ) ],
% 0.68/1.08 [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), multiply( Y, Z ) )
% 0.68/1.08 ],
% 0.68/1.08 [ ~( equalish( X, Y ) ), equalish( multiply( Z, X ), multiply( Z, Y ) )
% 0.68/1.08 ],
% 0.68/1.08 [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y, Z, T ) ]
% 0.68/1.08 ,
% 0.68/1.08 [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z, Y, T ) ]
% 0.68/1.08 ,
% 0.68/1.08 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.68/1.08 ,
% 0.68/1.08 [ ~( equalish( X, Y ) ), ~( 'subgroup_member'( X ) ), 'subgroup_member'(
% 0.68/1.08 Y ) ],
% 0.68/1.08 [ product( identity, X, X ) ],
% 0.68/1.08 [ product( X, identity, X ) ],
% 0.68/1.08 [ product( inverse( X ), X, identity ) ],
% 0.68/1.08 [ product( X, inverse( X ), identity ) ],
% 0.68/1.08 [ product( X, Y, multiply( X, Y ) ) ],
% 0.68/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.68/1.08 ,
% 0.68/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.68/1.08 ) ), product( X, U, W ) ],
% 0.68/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.68/1.08 ) ), product( Z, T, W ) ],
% 0.68/1.08 [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product(
% 0.68/1.08 X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 0.68/1.08 [ 'subgroup_member'( a ) ],
% 0.68/1.08 [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ],
% 0.68/1.08 [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), j( X ) ) ),
% 0.68/1.08 ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 ] .
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.68/1.08 This is a near-Horn, non-equality problem
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Options Used:
% 0.68/1.08
% 0.68/1.08 useres = 1
% 0.68/1.08 useparamod = 0
% 0.68/1.08 useeqrefl = 0
% 0.68/1.08 useeqfact = 0
% 0.68/1.08 usefactor = 1
% 0.68/1.08 usesimpsplitting = 0
% 0.68/1.08 usesimpdemod = 0
% 0.68/1.08 usesimpres = 4
% 0.68/1.08
% 0.68/1.08 resimpinuse = 1000
% 0.68/1.08 resimpclauses = 20000
% 0.68/1.08 substype = standard
% 0.68/1.08 backwardsubs = 1
% 0.68/1.08 selectoldest = 5
% 0.68/1.08
% 0.68/1.08 litorderings [0] = split
% 0.68/1.08 litorderings [1] = liftord
% 0.68/1.08
% 0.68/1.08 termordering = none
% 0.68/1.08
% 0.68/1.08 litapriori = 1
% 0.68/1.08 termapriori = 0
% 0.68/1.08 litaposteriori = 0
% 0.68/1.08 termaposteriori = 0
% 0.68/1.08 demodaposteriori = 0
% 0.68/1.08 ordereqreflfact = 0
% 0.68/1.08
% 0.68/1.08 litselect = negative
% 0.68/1.08
% 0.68/1.08 maxweight = 30000
% 0.68/1.08 maxdepth = 30000
% 0.68/1.08 maxlength = 115
% 0.68/1.08 maxnrvars = 195
% 0.68/1.08 excuselevel = 0
% 0.68/1.08 increasemaxweight = 0
% 0.68/1.08
% 0.68/1.08 maxselected = 10000000
% 0.68/1.08 maxnrclauses = 10000000
% 0.68/1.08
% 0.68/1.08 showgenerated = 0
% 0.68/1.08 showkept = 0
% 0.68/1.08 showselected = 0
% 0.68/1.08 showdeleted = 0
% 0.68/1.08 showresimp = 1
% 0.68/1.08 showstatus = 2000
% 0.68/1.08
% 0.68/1.08 prologoutput = 1
% 0.68/1.08 nrgoals = 5000000
% 0.68/1.08 totalproof = 1
% 0.68/1.08
% 0.68/1.08 Symbols occurring in the translation:
% 0.68/1.08
% 0.68/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.08 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.68/1.08 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.08 equalish [40, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.68/1.08 inverse [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.68/1.08 multiply [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.68/1.08 product [46, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.68/1.08 'subgroup_member' [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.68/1.08 identity [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.68/1.08 a [54, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.68/1.08 j [55, 1] (w:1, o:27, a:1, s:1, b:0).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Starting Search:
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Bliksems!, er is een bewijs:
% 0.68/1.08 % SZS status Unsatisfiable
% 0.68/1.08 % SZS output start Refutation
% 0.68/1.08
% 0.68/1.08 clause( 10, [ product( identity, X, X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 11, [ product( X, identity, X ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 13, [ product( X, inverse( X ), identity ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 18, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.68/1.08 'subgroup_member'( Z ), ~( product( X, inverse( Y ), Z ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 19, [ 'subgroup_member'( a ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 21, [ ~( 'subgroup_member'( X ) ), ~( product( j( X ), X, j( X ) )
% 0.68/1.08 ), ~( product( X, j( X ), j( X ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 28, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.68/1.08 product( X, inverse( X ), Y ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 29, [ 'subgroup_member'( j( a ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 30, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 31, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 32, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 33, [ 'subgroup_member'( j( j( j( j( j( a ) ) ) ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 34, [ 'subgroup_member'( j( j( j( j( j( j( a ) ) ) ) ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 35, [ 'subgroup_member'( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) ) ]
% 0.68/1.08 )
% 0.68/1.08 .
% 0.68/1.08 clause( 36, [ 'subgroup_member'( j( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 39, [ 'subgroup_member'( identity ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 .
% 0.68/1.08 clause( 41, [ 'subgroup_member'( identity ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 176, [ ~( product( j( identity ), identity, j( identity ) ) ) ] )
% 0.68/1.08 .
% 0.68/1.08 clause( 363, [] )
% 0.68/1.08 .
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 % SZS output end Refutation
% 0.68/1.08 found a proof!
% 0.68/1.08
% 0.68/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.08
% 0.68/1.08 initialclauses(
% 0.68/1.08 [ clause( 365, [ equalish( X, X ) ] )
% 0.68/1.08 , clause( 366, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 0.68/1.08 , clause( 367, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.68/1.08 , Z ) ] )
% 0.68/1.08 , clause( 368, [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y
% 0.68/1.08 ) ) ] )
% 0.68/1.08 , clause( 369, [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ),
% 0.68/1.08 multiply( Y, Z ) ) ] )
% 0.68/1.08 , clause( 370, [ ~( equalish( X, Y ) ), equalish( multiply( Z, X ),
% 0.68/1.08 multiply( Z, Y ) ) ] )
% 0.68/1.08 , clause( 371, [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y
% 0.68/1.08 , Z, T ) ] )
% 0.68/1.08 , clause( 372, [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z
% 0.68/1.08 , Y, T ) ] )
% 0.68/1.08 , clause( 373, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z
% 0.68/1.08 , T, Y ) ] )
% 0.68/1.08 , clause( 374, [ ~( equalish( X, Y ) ), ~( 'subgroup_member'( X ) ),
% 0.68/1.08 'subgroup_member'( Y ) ] )
% 0.68/1.08 , clause( 375, [ product( identity, X, X ) ] )
% 0.68/1.08 , clause( 376, [ product( X, identity, X ) ] )
% 0.68/1.08 , clause( 377, [ product( inverse( X ), X, identity ) ] )
% 0.68/1.08 , clause( 378, [ product( X, inverse( X ), identity ) ] )
% 0.68/1.08 , clause( 379, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.68/1.08 , clause( 380, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.68/1.08 Z, T ) ] )
% 0.68/1.08 , clause( 381, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.68/1.08 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.68/1.08 , clause( 382, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.68/1.08 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.68/1.08 , clause( 383, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.68/1.08 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.68/1.08 , clause( 384, [ 'subgroup_member'( a ) ] )
% 0.68/1.08 , clause( 385, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 386, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ),
% 0.68/1.08 j( X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.68/1.08 ] ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 10, [ product( identity, X, X ) ] )
% 0.68/1.08 , clause( 375, [ product( identity, X, X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 11, [ product( X, identity, X ) ] )
% 0.68/1.08 , clause( 376, [ product( X, identity, X ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 13, [ product( X, inverse( X ), identity ) ] )
% 0.68/1.08 , clause( 378, [ product( X, inverse( X ), identity ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 18, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.68/1.08 'subgroup_member'( Z ), ~( product( X, inverse( Y ), Z ) ) ] )
% 0.68/1.08 , clause( 383, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.68/1.08 ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.68/1.08 ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 19, [ 'subgroup_member'( a ) ] )
% 0.68/1.08 , clause( 384, [ 'subgroup_member'( a ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.68/1.08 , clause( 385, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.08 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 21, [ ~( 'subgroup_member'( X ) ), ~( product( j( X ), X, j( X ) )
% 0.68/1.08 ), ~( product( X, j( X ), j( X ) ) ) ] )
% 0.68/1.08 , clause( 386, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ),
% 0.68/1.08 j( X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.08 2 ), ==>( 2, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 factor(
% 0.68/1.08 clause( 434, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.68/1.08 product( X, inverse( X ), Y ) ) ] )
% 0.68/1.08 , clause( 18, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ),
% 0.68/1.08 'subgroup_member'( Z ), ~( product( X, inverse( Y ), Z ) ) ] )
% 0.68/1.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 28, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.68/1.08 product( X, inverse( X ), Y ) ) ] )
% 0.68/1.08 , clause( 434, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.68/1.08 product( X, inverse( X ), Y ) ) ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.08 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 435, [ 'subgroup_member'( j( a ) ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 19, [ 'subgroup_member'( a ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 29, [ 'subgroup_member'( j( a ) ) ] )
% 0.68/1.08 , clause( 435, [ 'subgroup_member'( j( a ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 436, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 29, [ 'subgroup_member'( j( a ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( a ) )] ), substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 30, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.68/1.08 , clause( 436, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 437, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 30, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( a ) ) )] ), substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 31, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.68/1.08 , clause( 437, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 438, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 31, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( j( a ) ) ) )] ), substitution( 1, [] )
% 0.68/1.08 ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 32, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.68/1.08 , clause( 438, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 439, [ 'subgroup_member'( j( j( j( j( j( a ) ) ) ) ) ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 32, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( j( j( a ) ) ) ) )] ), substitution( 1
% 0.68/1.08 , [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 33, [ 'subgroup_member'( j( j( j( j( j( a ) ) ) ) ) ) ] )
% 0.68/1.08 , clause( 439, [ 'subgroup_member'( j( j( j( j( j( a ) ) ) ) ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 440, [ 'subgroup_member'( j( j( j( j( j( j( a ) ) ) ) ) ) ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 33, [ 'subgroup_member'( j( j( j( j( j( a ) ) ) ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( j( j( j( a ) ) ) ) ) )] ),
% 0.68/1.08 substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 34, [ 'subgroup_member'( j( j( j( j( j( j( a ) ) ) ) ) ) ) ] )
% 0.68/1.08 , clause( 440, [ 'subgroup_member'( j( j( j( j( j( j( a ) ) ) ) ) ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 441, [ 'subgroup_member'( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 34, [ 'subgroup_member'( j( j( j( j( j( j( a ) ) ) ) ) ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( j( j( j( j( a ) ) ) ) ) ) )] ),
% 0.68/1.08 substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 35, [ 'subgroup_member'( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 441, [ 'subgroup_member'( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) )
% 0.68/1.08 ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 442, [ 'subgroup_member'( j( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 20, [ 'subgroup_member'( j( X ) ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 1, clause( 35, [ 'subgroup_member'( j( j( j( j( j( j( j( a ) ) ) ) ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( j( j( j( j( j( a ) ) ) ) ) ) ) )] ),
% 0.68/1.08 substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 36, [ 'subgroup_member'( j( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) )
% 0.68/1.08 ) ] )
% 0.68/1.08 , clause( 442, [ 'subgroup_member'( j( j( j( j( j( j( j( j( a ) ) ) ) ) ) )
% 0.68/1.08 ) ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 443, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 28, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( Y ), ~(
% 0.68/1.08 product( X, inverse( X ), Y ) ) ] )
% 0.68/1.08 , 2, clause( 13, [ product( X, inverse( X ), identity ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 1
% 0.68/1.08 , [ :=( X, X )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 39, [ 'subgroup_member'( identity ), ~( 'subgroup_member'( X ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , clause( 443, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity )
% 0.68/1.08 ] )
% 0.68/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.08 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 444, [ 'subgroup_member'( identity ) ] )
% 0.68/1.08 , clause( 39, [ 'subgroup_member'( identity ), ~( 'subgroup_member'( X ) )
% 0.68/1.08 ] )
% 0.68/1.08 , 1, clause( 36, [ 'subgroup_member'( j( j( j( j( j( j( j( j( a ) ) ) ) ) )
% 0.68/1.08 ) ) ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, j( j( j( j( j( j( j( j( a ) ) ) ) ) ) ) ) )] )
% 0.68/1.08 , substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 41, [ 'subgroup_member'( identity ) ] )
% 0.68/1.08 , clause( 444, [ 'subgroup_member'( identity ) ] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 445, [ ~( 'subgroup_member'( identity ) ), ~( product( j( identity
% 0.68/1.08 ), identity, j( identity ) ) ) ] )
% 0.68/1.08 , clause( 21, [ ~( 'subgroup_member'( X ) ), ~( product( j( X ), X, j( X )
% 0.68/1.08 ) ), ~( product( X, j( X ), j( X ) ) ) ] )
% 0.68/1.08 , 2, clause( 10, [ product( identity, X, X ) ] )
% 0.68/1.08 , 0, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, j(
% 0.68/1.08 identity ) )] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 446, [ ~( product( j( identity ), identity, j( identity ) ) ) ] )
% 0.68/1.08 , clause( 445, [ ~( 'subgroup_member'( identity ) ), ~( product( j(
% 0.68/1.08 identity ), identity, j( identity ) ) ) ] )
% 0.68/1.08 , 0, clause( 41, [ 'subgroup_member'( identity ) ] )
% 0.68/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 176, [ ~( product( j( identity ), identity, j( identity ) ) ) ] )
% 0.68/1.08 , clause( 446, [ ~( product( j( identity ), identity, j( identity ) ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 resolution(
% 0.68/1.08 clause( 447, [] )
% 0.68/1.08 , clause( 176, [ ~( product( j( identity ), identity, j( identity ) ) ) ]
% 0.68/1.08 )
% 0.68/1.08 , 0, clause( 11, [ product( X, identity, X ) ] )
% 0.68/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, j( identity ) )] )
% 0.68/1.08 ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 subsumption(
% 0.68/1.08 clause( 363, [] )
% 0.68/1.08 , clause( 447, [] )
% 0.68/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 end.
% 0.68/1.08
% 0.68/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.08
% 0.68/1.08 Memory use:
% 0.68/1.08
% 0.68/1.08 space for terms: 3933
% 0.68/1.08 space for clauses: 23066
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 clauses generated: 500
% 0.68/1.08 clauses kept: 364
% 0.68/1.08 clauses selected: 123
% 0.68/1.08 clauses deleted: 2
% 0.68/1.08 clauses inuse deleted: 0
% 0.68/1.08
% 0.68/1.08 subsentry: 522
% 0.68/1.08 literals s-matched: 229
% 0.68/1.08 literals matched: 203
% 0.68/1.08 full subsumption: 37
% 0.68/1.08
% 0.68/1.08 checksum: -1324457899
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 Bliksem ended
%------------------------------------------------------------------------------