TSTP Solution File: BOO004-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : BOO004-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Thu Jul 14 23:30:34 EDT 2022

% Result   : Unsatisfiable 0.43s 1.07s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : BOO004-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n019.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 : Wed Jun  1 16:55:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/1.07  *** allocated 10000 integers for termspace/termends
% 0.43/1.07  *** allocated 10000 integers for clauses
% 0.43/1.07  *** allocated 10000 integers for justifications
% 0.43/1.07  Bliksem 1.12
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Automatic Strategy Selection
% 0.43/1.07  
% 0.43/1.07  Clauses:
% 0.43/1.07  [
% 0.43/1.07     [ =( add( X, Y ), add( Y, X ) ) ],
% 0.43/1.07     [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.43/1.07     [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.43/1.07     ],
% 0.43/1.07     [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.43/1.07     ) ) ],
% 0.43/1.07     [ =( add( X, 'additive_identity' ), X ) ],
% 0.43/1.07     [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.43/1.07     [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.43/1.07     [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.43/1.07     [ ~( =( add( a, a ), a ) ) ]
% 0.43/1.07  ] .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.07  This is a pure equality problem
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Options Used:
% 0.43/1.07  
% 0.43/1.07  useres =            1
% 0.43/1.07  useparamod =        1
% 0.43/1.07  useeqrefl =         1
% 0.43/1.07  useeqfact =         1
% 0.43/1.07  usefactor =         1
% 0.43/1.07  usesimpsplitting =  0
% 0.43/1.07  usesimpdemod =      5
% 0.43/1.07  usesimpres =        3
% 0.43/1.07  
% 0.43/1.07  resimpinuse      =  1000
% 0.43/1.07  resimpclauses =     20000
% 0.43/1.07  substype =          eqrewr
% 0.43/1.07  backwardsubs =      1
% 0.43/1.07  selectoldest =      5
% 0.43/1.07  
% 0.43/1.07  litorderings [0] =  split
% 0.43/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.07  
% 0.43/1.07  termordering =      kbo
% 0.43/1.07  
% 0.43/1.07  litapriori =        0
% 0.43/1.07  termapriori =       1
% 0.43/1.07  litaposteriori =    0
% 0.43/1.07  termaposteriori =   0
% 0.43/1.07  demodaposteriori =  0
% 0.43/1.07  ordereqreflfact =   0
% 0.43/1.07  
% 0.43/1.07  litselect =         negord
% 0.43/1.07  
% 0.43/1.07  maxweight =         15
% 0.43/1.07  maxdepth =          30000
% 0.43/1.07  maxlength =         115
% 0.43/1.07  maxnrvars =         195
% 0.43/1.07  excuselevel =       1
% 0.43/1.07  increasemaxweight = 1
% 0.43/1.07  
% 0.43/1.07  maxselected =       10000000
% 0.43/1.07  maxnrclauses =      10000000
% 0.43/1.07  
% 0.43/1.07  showgenerated =    0
% 0.43/1.07  showkept =         0
% 0.43/1.07  showselected =     0
% 0.43/1.07  showdeleted =      0
% 0.43/1.07  showresimp =       1
% 0.43/1.07  showstatus =       2000
% 0.43/1.07  
% 0.43/1.07  prologoutput =     1
% 0.43/1.07  nrgoals =          5000000
% 0.43/1.07  totalproof =       1
% 0.43/1.07  
% 0.43/1.07  Symbols occurring in the translation:
% 0.43/1.07  
% 0.43/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.07  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.43/1.07  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.43/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  add  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.43/1.07  multiply  [42, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.43/1.07  'additive_identity'  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.43/1.07  'multiplicative_identity'  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.43/1.07  inverse  [46, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.43/1.07  a  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Starting Search:
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksems!, er is een bewijs:
% 0.43/1.07  % SZS status Unsatisfiable
% 0.43/1.07  % SZS output start Refutation
% 0.43/1.07  
% 0.43/1.07  clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y, 
% 0.43/1.07    Z ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 8, [ ~( =( add( a, a ), a ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 24, [ =( add( X, X ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 44, [] )
% 0.43/1.07  .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  % SZS output end Refutation
% 0.43/1.07  found a proof!
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  initialclauses(
% 0.43/1.07  [ clause( 46, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.43/1.07  , clause( 47, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , clause( 48, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( 
% 0.43/1.07    X, Z ) ) ) ] )
% 0.43/1.07  , clause( 49, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), 
% 0.43/1.07    multiply( X, Z ) ) ) ] )
% 0.43/1.07  , clause( 50, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.43/1.07  , clause( 51, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07  , clause( 52, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07  , clause( 53, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.43/1.07  , clause( 54, [ ~( =( add( a, a ), a ) ) ] )
% 0.43/1.07  ] ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , clause( 47, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 55, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.43/1.07    , Z ) ) ) ] )
% 0.43/1.07  , clause( 48, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( 
% 0.43/1.07    X, Z ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y, 
% 0.43/1.07    Z ) ) ) ] )
% 0.43/1.07  , clause( 55, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( 
% 0.43/1.07    Y, Z ) ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.43/1.07  , clause( 50, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07  , clause( 51, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07  , clause( 52, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.43/1.07  , clause( 53, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 8, [ ~( =( add( a, a ), a ) ) ] )
% 0.43/1.07  , clause( 54, [ ~( =( add( a, a ), a ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 81, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ] )
% 0.43/1.07  , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 82, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.43/1.07  , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , 0, clause( 81, [ =( 'additive_identity', multiply( X, inverse( X ) ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 85, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.43/1.07  , clause( 82, [ =( 'additive_identity', multiply( inverse( X ), X ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.43/1.07  , clause( 85, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 86, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.43/1.07  , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 87, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.43/1.07  , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , 0, clause( 86, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.43/1.07  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 0.43/1.07    , substitution( 1, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 90, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07  , clause( 87, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07  , clause( 90, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 92, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.43/1.07    , Z ) ) ) ] )
% 0.43/1.07  , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.43/1.07    , Z ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 94, [ =( add( X, multiply( inverse( X ), Y ) ), multiply( 
% 0.43/1.07    'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.43/1.07  , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.43/1.07  , 0, clause( 92, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), 
% 0.43/1.07    add( X, Z ) ) ) ] )
% 0.43/1.07  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.43/1.07    :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 96, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.43/1.07  , clause( 13, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.43/1.07  , 0, clause( 94, [ =( add( X, multiply( inverse( X ), Y ) ), multiply( 
% 0.43/1.07    'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.43/1.07  , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=( 
% 0.43/1.07    X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.43/1.07  , clause( 96, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 99, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.43/1.07  , clause( 19, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 101, [ =( add( X, X ), add( X, 'additive_identity' ) ) ] )
% 0.43/1.07  , clause( 12, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.43/1.07  , 0, clause( 99, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) )
% 0.43/1.07     ] )
% 0.43/1.07  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.43/1.07    :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 102, [ =( add( X, X ), X ) ] )
% 0.43/1.07  , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.43/1.07  , 0, clause( 101, [ =( add( X, X ), add( X, 'additive_identity' ) ) ] )
% 0.43/1.07  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 24, [ =( add( X, X ), X ) ] )
% 0.43/1.07  , clause( 102, [ =( add( X, X ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 104, [ =( X, add( X, X ) ) ] )
% 0.43/1.07  , clause( 24, [ =( add( X, X ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 105, [ ~( =( a, add( a, a ) ) ) ] )
% 0.43/1.07  , clause( 8, [ ~( =( add( a, a ), a ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 106, [] )
% 0.43/1.07  , clause( 105, [ ~( =( a, add( a, a ) ) ) ] )
% 0.43/1.07  , 0, clause( 104, [ =( X, add( X, X ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 44, [] )
% 0.43/1.07  , clause( 106, [] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  end.
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  Memory use:
% 0.43/1.07  
% 0.43/1.07  space for terms:        623
% 0.43/1.07  space for clauses:      4902
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  clauses generated:      157
% 0.43/1.07  clauses kept:           45
% 0.43/1.07  clauses selected:       17
% 0.43/1.07  clauses deleted:        0
% 0.43/1.07  clauses inuse deleted:  0
% 0.43/1.07  
% 0.43/1.07  subsentry:          257
% 0.43/1.07  literals s-matched: 134
% 0.43/1.07  literals matched:   134
% 0.43/1.07  full subsumption:   0
% 0.43/1.07  
% 0.43/1.07  checksum:           879131332
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksem ended
%------------------------------------------------------------------------------