TSTP Solution File: BOO005-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 0.66s 1.07s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Wed Jun  1 15:58:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.66/1.07  *** allocated 10000 integers for termspace/termends
% 0.66/1.07  *** allocated 10000 integers for clauses
% 0.66/1.07  *** allocated 10000 integers for justifications
% 0.66/1.07  Bliksem 1.12
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  Automatic Strategy Selection
% 0.66/1.07  
% 0.66/1.07  Clauses:
% 0.66/1.07  [
% 0.66/1.07     [ =( add( X, Y ), add( Y, X ) ) ],
% 0.66/1.07     [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.66/1.07     [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.66/1.07     ],
% 0.66/1.07     [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.66/1.07     ],
% 0.66/1.07     [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.66/1.07     ) ) ],
% 0.66/1.07     [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.66/1.07     ) ) ],
% 0.66/1.07     [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.66/1.07     [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.66/1.07     [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.66/1.07     [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.66/1.07     [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.66/1.07     [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.66/1.07     [ =( add( X, 'additive_identity' ), X ) ],
% 0.66/1.07     [ =( add( 'additive_identity', X ), X ) ],
% 0.66/1.07     [ ~( =( add( a, 'multiplicative_identity' ), 'multiplicative_identity' )
% 0.66/1.07     ) ]
% 0.66/1.07  ] .
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  percentage equality = 1.000000, percentage horn = 1.000000
% 0.66/1.07  This is a pure equality problem
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  Options Used:
% 0.66/1.07  
% 0.66/1.07  useres =            1
% 0.66/1.07  useparamod =        1
% 0.66/1.07  useeqrefl =         1
% 0.66/1.07  useeqfact =         1
% 0.66/1.07  usefactor =         1
% 0.66/1.07  usesimpsplitting =  0
% 0.66/1.07  usesimpdemod =      5
% 0.66/1.07  usesimpres =        3
% 0.66/1.07  
% 0.66/1.07  resimpinuse      =  1000
% 0.66/1.07  resimpclauses =     20000
% 0.66/1.07  substype =          eqrewr
% 0.66/1.07  backwardsubs =      1
% 0.66/1.07  selectoldest =      5
% 0.66/1.07  
% 0.66/1.07  litorderings [0] =  split
% 0.66/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.66/1.07  
% 0.66/1.07  termordering =      kbo
% 0.66/1.07  
% 0.66/1.07  litapriori =        0
% 0.66/1.07  termapriori =       1
% 0.66/1.07  litaposteriori =    0
% 0.66/1.07  termaposteriori =   0
% 0.66/1.07  demodaposteriori =  0
% 0.66/1.07  ordereqreflfact =   0
% 0.66/1.07  
% 0.66/1.07  litselect =         negord
% 0.66/1.07  
% 0.66/1.07  maxweight =         15
% 0.66/1.07  maxdepth =          30000
% 0.66/1.07  maxlength =         115
% 0.66/1.07  maxnrvars =         195
% 0.66/1.07  excuselevel =       1
% 0.66/1.07  increasemaxweight = 1
% 0.66/1.07  
% 0.66/1.07  maxselected =       10000000
% 0.66/1.07  maxnrclauses =      10000000
% 0.66/1.07  
% 0.66/1.07  showgenerated =    0
% 0.66/1.07  showkept =         0
% 0.66/1.07  showselected =     0
% 0.66/1.07  showdeleted =      0
% 0.66/1.07  showresimp =       1
% 0.66/1.07  showstatus =       2000
% 0.66/1.07  
% 0.66/1.07  prologoutput =     1
% 0.66/1.07  nrgoals =          5000000
% 0.66/1.07  totalproof =       1
% 0.66/1.07  
% 0.66/1.07  Symbols occurring in the translation:
% 0.66/1.07  
% 0.66/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.66/1.07  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.66/1.07  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.66/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.66/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.66/1.07  add  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.66/1.07  multiply  [42, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.66/1.07  inverse  [44, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.66/1.07  'multiplicative_identity'  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.66/1.07  'additive_identity'  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.66/1.07  a  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  Starting Search:
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  Bliksems!, er is een bewijs:
% 0.66/1.07  % SZS status Unsatisfiable
% 0.66/1.07  % SZS output start Refutation
% 0.66/1.07  
% 0.66/1.07  clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.66/1.07    , Z ) ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 14, [ ~( =( add( a, 'multiplicative_identity' ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 15, [ ~( =( add( 'multiplicative_identity', a ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 33, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 46, [ =( add( 'multiplicative_identity', X ), 
% 0.66/1.07    'multiplicative_identity' ) ] )
% 0.66/1.07  .
% 0.66/1.07  clause( 49, [] )
% 0.66/1.07  .
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  % SZS output end Refutation
% 0.66/1.07  found a proof!
% 0.66/1.07  
% 0.66/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.07  
% 0.66/1.07  initialclauses(
% 0.66/1.07  [ clause( 51, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.66/1.07  , clause( 52, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.66/1.07  , clause( 53, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( 
% 0.66/1.07    Y, Z ) ) ) ] )
% 0.66/1.07  , clause( 54, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( 
% 0.66/1.07    X, Z ) ) ) ] )
% 0.66/1.07  , clause( 55, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), 
% 0.66/1.07    multiply( Y, Z ) ) ) ] )
% 0.66/1.07  , clause( 56, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), 
% 0.66/1.07    multiply( X, Z ) ) ) ] )
% 0.66/1.07  , clause( 57, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.66/1.07  , clause( 58, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.66/1.07  , clause( 59, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.66/1.07  , clause( 60, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.66/1.07  , clause( 61, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.66/1.07  , clause( 62, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.66/1.07  , clause( 63, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.66/1.07  , clause( 64, [ =( add( 'additive_identity', X ), X ) ] )
% 0.66/1.07  , clause( 65, [ ~( =( add( a, 'multiplicative_identity' ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  ] ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.66/1.07  , clause( 51, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.66/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.07     )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 66, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.66/1.07     ), Z ) ) ] )
% 0.66/1.07  , clause( 53, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( 
% 0.66/1.07    Y, Z ) ) ) ] )
% 0.66/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.66/1.07    , Z ) ) ] )
% 0.66/1.07  , clause( 66, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, 
% 0.66/1.07    Y ), Z ) ) ] )
% 0.66/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.66/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.66/1.07  , clause( 58, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.66/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.66/1.07  , clause( 61, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.66/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.66/1.07  , clause( 62, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.66/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 14, [ ~( =( add( a, 'multiplicative_identity' ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , clause( 65, [ ~( =( add( a, 'multiplicative_identity' ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 105, [ ~( =( 'multiplicative_identity', add( a, 
% 0.66/1.07    'multiplicative_identity' ) ) ) ] )
% 0.66/1.07  , clause( 14, [ ~( =( add( a, 'multiplicative_identity' ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , 0, substitution( 0, [] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  paramod(
% 0.66/1.07  clause( 106, [ ~( =( 'multiplicative_identity', add( 
% 0.66/1.07    'multiplicative_identity', a ) ) ) ] )
% 0.66/1.07  , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.66/1.07  , 0, clause( 105, [ ~( =( 'multiplicative_identity', add( a, 
% 0.66/1.07    'multiplicative_identity' ) ) ) ] )
% 0.66/1.07  , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, 'multiplicative_identity' )] )
% 0.66/1.07    , substitution( 1, [] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 109, [ ~( =( add( 'multiplicative_identity', a ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , clause( 106, [ ~( =( 'multiplicative_identity', add( 
% 0.66/1.07    'multiplicative_identity', a ) ) ) ] )
% 0.66/1.07  , 0, substitution( 0, [] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 15, [ ~( =( add( 'multiplicative_identity', a ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , clause( 109, [ ~( =( add( 'multiplicative_identity', a ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 111, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add( Z
% 0.66/1.07    , Y ) ) ) ] )
% 0.66/1.07  , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.66/1.07     ), Z ) ) ] )
% 0.66/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  paramod(
% 0.66/1.07  clause( 113, [ =( add( multiply( inverse( X ), Y ), X ), multiply( 
% 0.66/1.07    'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.66/1.07  , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.66/1.07  , 0, clause( 111, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), 
% 0.66/1.07    add( Z, Y ) ) ) ] )
% 0.66/1.07  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse( 
% 0.66/1.07    X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  paramod(
% 0.66/1.07  clause( 115, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.66/1.07  , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.66/1.07  , 0, clause( 113, [ =( add( multiply( inverse( X ), Y ), X ), multiply( 
% 0.66/1.07    'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.66/1.07  , 0, 7, substitution( 0, [ :=( X, add( Y, X ) )] ), substitution( 1, [ :=( 
% 0.66/1.07    X, X ), :=( Y, Y )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 33, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.66/1.07  , clause( 115, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.66/1.07     )
% 0.66/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.07     )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 118, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ] )
% 0.66/1.07  , clause( 33, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.66/1.07     )
% 0.66/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  paramod(
% 0.66/1.07  clause( 120, [ =( add( 'multiplicative_identity', X ), add( inverse( X ), X
% 0.66/1.07     ) ) ] )
% 0.66/1.07  , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.66/1.07  , 0, clause( 118, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) )
% 0.66/1.07     ] )
% 0.66/1.07  , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.66/1.07    :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  paramod(
% 0.66/1.07  clause( 121, [ =( add( 'multiplicative_identity', X ), 
% 0.66/1.07    'multiplicative_identity' ) ] )
% 0.66/1.07  , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.66/1.07  , 0, clause( 120, [ =( add( 'multiplicative_identity', X ), add( inverse( X
% 0.66/1.07     ), X ) ) ] )
% 0.66/1.07  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.66/1.07    ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 46, [ =( add( 'multiplicative_identity', X ), 
% 0.66/1.07    'multiplicative_identity' ) ] )
% 0.66/1.07  , clause( 121, [ =( add( 'multiplicative_identity', X ), 
% 0.66/1.07    'multiplicative_identity' ) ] )
% 0.66/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 123, [ =( 'multiplicative_identity', add( 'multiplicative_identity'
% 0.66/1.07    , X ) ) ] )
% 0.66/1.07  , clause( 46, [ =( add( 'multiplicative_identity', X ), 
% 0.66/1.07    'multiplicative_identity' ) ] )
% 0.66/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  eqswap(
% 0.66/1.07  clause( 124, [ ~( =( 'multiplicative_identity', add( 
% 0.66/1.07    'multiplicative_identity', a ) ) ) ] )
% 0.66/1.07  , clause( 15, [ ~( =( add( 'multiplicative_identity', a ), 
% 0.66/1.07    'multiplicative_identity' ) ) ] )
% 0.66/1.07  , 0, substitution( 0, [] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  resolution(
% 0.66/1.07  clause( 125, [] )
% 0.66/1.07  , clause( 124, [ ~( =( 'multiplicative_identity', add( 
% 0.66/1.07    'multiplicative_identity', a ) ) ) ] )
% 0.66/1.07  , 0, clause( 123, [ =( 'multiplicative_identity', add( 
% 0.66/1.07    'multiplicative_identity', X ) ) ] )
% 0.66/1.07  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  subsumption(
% 0.66/1.07  clause( 49, [] )
% 0.66/1.07  , clause( 125, [] )
% 0.66/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  end.
% 0.66/1.07  
% 0.66/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.07  
% 0.66/1.07  Memory use:
% 0.66/1.07  
% 0.66/1.07  space for terms:        801
% 0.66/1.07  space for clauses:      5362
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  clauses generated:      179
% 0.66/1.07  clauses kept:           50
% 0.66/1.07  clauses selected:       19
% 0.66/1.07  clauses deleted:        0
% 0.66/1.07  clauses inuse deleted:  0
% 0.66/1.07  
% 0.66/1.07  subsentry:          313
% 0.66/1.07  literals s-matched: 163
% 0.66/1.07  literals matched:   163
% 0.66/1.07  full subsumption:   0
% 0.66/1.07  
% 0.66/1.07  checksum:           -1949992670
% 0.66/1.07  
% 0.66/1.07  
% 0.66/1.07  Bliksem ended
%------------------------------------------------------------------------------