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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP033-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n015.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 0.46s 1.16s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP033-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n015.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 : Mon Jun 13 23:51:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.46/1.16  *** allocated 10000 integers for termspace/termends
% 0.46/1.16  *** allocated 10000 integers for clauses
% 0.46/1.16  *** allocated 10000 integers for justifications
% 0.46/1.16  Bliksem 1.12
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  Automatic Strategy Selection
% 0.46/1.16  
% 0.46/1.16  Clauses:
% 0.46/1.16  [
% 0.46/1.16     [ product( identity, X, X ) ],
% 0.46/1.16     [ product( X, identity, X ) ],
% 0.46/1.16     [ product( inverse( X ), X, identity ) ],
% 0.46/1.16     [ product( X, inverse( X ), identity ) ],
% 0.46/1.16     [ product( X, Y, multiply( X, Y ) ) ],
% 0.46/1.16     [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.46/1.16     [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.46/1.16     ) ), product( X, U, W ) ],
% 0.46/1.16     [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.46/1.16     ) ), product( Z, T, W ) ],
% 0.46/1.16     [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( product( 
% 0.46/1.16    X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ],
% 0.46/1.16     [ 'subgroup_member'( a ) ],
% 0.46/1.16     [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ],
% 0.46/1.16     [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), j( X ) ) ), 
% 0.46/1.16    ~( 'subgroup_member'( X ) ) ]
% 0.46/1.16  ] .
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  percentage equality = 0.038462, percentage horn = 1.000000
% 0.46/1.16  This is a problem with some equality
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  Options Used:
% 0.46/1.16  
% 0.46/1.16  useres =            1
% 0.46/1.16  useparamod =        1
% 0.46/1.16  useeqrefl =         1
% 0.46/1.16  useeqfact =         1
% 0.46/1.16  usefactor =         1
% 0.46/1.16  usesimpsplitting =  0
% 0.46/1.16  usesimpdemod =      5
% 0.46/1.16  usesimpres =        3
% 0.46/1.16  
% 0.46/1.16  resimpinuse      =  1000
% 0.46/1.16  resimpclauses =     20000
% 0.46/1.16  substype =          eqrewr
% 0.46/1.16  backwardsubs =      1
% 0.46/1.16  selectoldest =      5
% 0.46/1.16  
% 0.46/1.16  litorderings [0] =  split
% 0.46/1.16  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.46/1.16  
% 0.46/1.16  termordering =      kbo
% 0.46/1.16  
% 0.46/1.16  litapriori =        0
% 0.46/1.16  termapriori =       1
% 0.46/1.16  litaposteriori =    0
% 0.46/1.16  termaposteriori =   0
% 0.46/1.16  demodaposteriori =  0
% 0.46/1.16  ordereqreflfact =   0
% 0.46/1.16  
% 0.46/1.16  litselect =         negord
% 0.46/1.16  
% 0.46/1.16  maxweight =         15
% 0.46/1.16  maxdepth =          30000
% 0.46/1.16  maxlength =         115
% 0.46/1.16  maxnrvars =         195
% 0.46/1.16  excuselevel =       1
% 0.46/1.16  increasemaxweight = 1
% 0.46/1.16  
% 0.46/1.16  maxselected =       10000000
% 0.46/1.16  maxnrclauses =      10000000
% 0.46/1.16  
% 0.46/1.16  showgenerated =    0
% 0.46/1.16  showkept =         0
% 0.46/1.16  showselected =     0
% 0.46/1.16  showdeleted =      0
% 0.46/1.16  showresimp =       1
% 0.46/1.16  showstatus =       2000
% 0.46/1.16  
% 0.46/1.16  prologoutput =     1
% 0.46/1.16  nrgoals =          5000000
% 0.46/1.16  totalproof =       1
% 0.46/1.16  
% 0.46/1.16  Symbols occurring in the translation:
% 0.46/1.16  
% 0.46/1.16  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.46/1.16  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.46/1.16  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 0.46/1.16  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.16  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.16  identity  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.46/1.16  product  [41, 3]      (w:1, o:54, a:1, s:1, b:0), 
% 0.46/1.16  inverse  [42, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.46/1.16  multiply  [44, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.46/1.16  'subgroup_member'  [50, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.46/1.16  a  [53, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.46/1.16  j  [54, 1]      (w:1, o:27, a:1, s:1, b:0).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  Starting Search:
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  Bliksems!, er is een bewijs:
% 0.46/1.16  % SZS status Unsatisfiable
% 0.46/1.16  % SZS output start Refutation
% 0.46/1.16  
% 0.46/1.16  clause( 0, [ product( identity, X, X ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 1, [ product( X, identity, X ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( 
% 0.46/1.16    product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 9, [ 'subgroup_member'( a ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 10, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 11, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), j( 
% 0.46/1.16    X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 20, [ 'subgroup_member'( j( a ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 21, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 22, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 23, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 344, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.46/1.16     )
% 0.46/1.16  .
% 0.46/1.16  clause( 375, [ 'subgroup_member'( identity ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 426, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.46/1.16  .
% 0.46/1.16  clause( 445, [] )
% 0.46/1.16  .
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  % SZS output end Refutation
% 0.46/1.16  found a proof!
% 0.46/1.16  
% 0.46/1.16  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.16  
% 0.46/1.16  initialclauses(
% 0.46/1.16  [ clause( 447, [ product( identity, X, X ) ] )
% 0.46/1.16  , clause( 448, [ product( X, identity, X ) ] )
% 0.46/1.16  , clause( 449, [ product( inverse( X ), X, identity ) ] )
% 0.46/1.16  , clause( 450, [ product( X, inverse( X ), identity ) ] )
% 0.46/1.16  , clause( 451, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.46/1.16  , clause( 452, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.46/1.16     ) ] )
% 0.46/1.16  , clause( 453, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.46/1.16    product( Z, T, W ) ), product( X, U, W ) ] )
% 0.46/1.16  , clause( 454, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.46/1.16    product( X, U, W ) ), product( Z, T, W ) ] )
% 0.46/1.16  , clause( 455, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), 
% 0.46/1.16    ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.46/1.16  , clause( 456, [ 'subgroup_member'( a ) ] )
% 0.46/1.16  , clause( 457, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.46/1.16     )
% 0.46/1.16  , clause( 458, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), 
% 0.46/1.16    j( X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.46/1.16  ] ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 0, [ product( identity, X, X ) ] )
% 0.46/1.16  , clause( 447, [ product( identity, X, X ) ] )
% 0.46/1.16  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 1, [ product( X, identity, X ) ] )
% 0.46/1.16  , clause( 448, [ product( X, identity, X ) ] )
% 0.46/1.16  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.46/1.16  , clause( 450, [ product( X, inverse( X ), identity ) ] )
% 0.46/1.16  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), ~( 
% 0.46/1.16    product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.46/1.16  , clause( 455, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), 
% 0.46/1.16    ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.46/1.16  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.46/1.16    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.46/1.16     ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 9, [ 'subgroup_member'( a ) ] )
% 0.46/1.16  , clause( 456, [ 'subgroup_member'( a ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 10, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ] )
% 0.46/1.16  , clause( 457, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.46/1.16     )
% 0.46/1.16  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.46/1.16    1 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 11, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), j( 
% 0.46/1.16    X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.46/1.16  , clause( 458, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), 
% 0.46/1.16    j( X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.46/1.16  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.46/1.16    1 ), ==>( 2, 2 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 499, [ 'subgroup_member'( j( a ) ) ] )
% 0.46/1.16  , clause( 10, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.46/1.16     )
% 0.46/1.16  , 0, clause( 9, [ 'subgroup_member'( a ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 20, [ 'subgroup_member'( j( a ) ) ] )
% 0.46/1.16  , clause( 499, [ 'subgroup_member'( j( a ) ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 500, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.46/1.16  , clause( 10, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.46/1.16     )
% 0.46/1.16  , 0, clause( 20, [ 'subgroup_member'( j( a ) ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, j( a ) )] ), substitution( 1, [] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 21, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.46/1.16  , clause( 500, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 501, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.46/1.16  , clause( 10, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.46/1.16     )
% 0.46/1.16  , 0, clause( 21, [ 'subgroup_member'( j( j( a ) ) ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, j( j( a ) ) )] ), substitution( 1, [] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 22, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.46/1.16  , clause( 501, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 502, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.46/1.16  , clause( 10, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( j( X ) ) ]
% 0.46/1.16     )
% 0.46/1.16  , 0, clause( 22, [ 'subgroup_member'( j( j( j( a ) ) ) ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, j( j( j( a ) ) ) )] ), substitution( 1, [] )
% 0.46/1.16    ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 23, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.46/1.16  , clause( 502, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 503, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( X ) ), 
% 0.46/1.16    'subgroup_member'( identity ) ] )
% 0.46/1.16  , clause( 8, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( Y ) ), 
% 0.46/1.16    ~( product( X, inverse( Y ), Z ) ), 'subgroup_member'( Z ) ] )
% 0.46/1.16  , 2, clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ), 
% 0.46/1.16    substitution( 1, [ :=( X, X )] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  factor(
% 0.46/1.16  clause( 504, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.46/1.16     )
% 0.46/1.16  , clause( 503, [ ~( 'subgroup_member'( X ) ), ~( 'subgroup_member'( X ) ), 
% 0.46/1.16    'subgroup_member'( identity ) ] )
% 0.46/1.16  , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 344, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity ) ]
% 0.46/1.16     )
% 0.46/1.16  , clause( 504, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity )
% 0.46/1.16     ] )
% 0.46/1.16  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.46/1.16    1 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 505, [ 'subgroup_member'( identity ) ] )
% 0.46/1.16  , clause( 344, [ ~( 'subgroup_member'( X ) ), 'subgroup_member'( identity )
% 0.46/1.16     ] )
% 0.46/1.16  , 0, clause( 23, [ 'subgroup_member'( j( j( j( j( a ) ) ) ) ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, j( j( j( j( a ) ) ) ) )] ), substitution( 1
% 0.46/1.16    , [] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 375, [ 'subgroup_member'( identity ) ] )
% 0.46/1.16  , clause( 505, [ 'subgroup_member'( identity ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 506, [ ~( product( j( identity ), identity, j( identity ) ) ), ~( 
% 0.46/1.16    'subgroup_member'( identity ) ) ] )
% 0.46/1.16  , clause( 11, [ ~( product( j( X ), X, j( X ) ) ), ~( product( X, j( X ), j( 
% 0.46/1.16    X ) ) ), ~( 'subgroup_member'( X ) ) ] )
% 0.46/1.16  , 1, clause( 0, [ product( identity, X, X ) ] )
% 0.46/1.16  , 0, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, j( 
% 0.46/1.16    identity ) )] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 507, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.46/1.16  , clause( 506, [ ~( product( j( identity ), identity, j( identity ) ) ), 
% 0.46/1.16    ~( 'subgroup_member'( identity ) ) ] )
% 0.46/1.16  , 0, clause( 1, [ product( X, identity, X ) ] )
% 0.46/1.16  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, j( identity ) )] )
% 0.46/1.16    ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 426, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.46/1.16  , clause( 507, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  resolution(
% 0.46/1.16  clause( 508, [] )
% 0.46/1.16  , clause( 426, [ ~( 'subgroup_member'( identity ) ) ] )
% 0.46/1.16  , 0, clause( 375, [ 'subgroup_member'( identity ) ] )
% 0.46/1.16  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  subsumption(
% 0.46/1.16  clause( 445, [] )
% 0.46/1.16  , clause( 508, [] )
% 0.46/1.16  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  end.
% 0.46/1.16  
% 0.46/1.16  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.16  
% 0.46/1.16  Memory use:
% 0.46/1.16  
% 0.46/1.16  space for terms:        6100
% 0.46/1.16  space for clauses:      19717
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  clauses generated:      973
% 0.46/1.16  clauses kept:           446
% 0.46/1.16  clauses selected:       31
% 0.46/1.16  clauses deleted:        1
% 0.46/1.16  clauses inuse deleted:  0
% 0.46/1.16  
% 0.46/1.16  subsentry:          3532
% 0.46/1.16  literals s-matched: 1390
% 0.46/1.16  literals matched:   1347
% 0.46/1.16  full subsumption:   926
% 0.46/1.16  
% 0.46/1.16  checksum:           -1505719360
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  Bliksem ended
%------------------------------------------------------------------------------