TSTP Solution File: SET838-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 : Mon Jul 18 22:52:34 EDT 2022

% Result   : Unsatisfiable 0.43s 1.08s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n009.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 Jul 11 09:42:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.43/1.08  *** allocated 10000 integers for termspace/termends
% 0.43/1.08  *** allocated 10000 integers for clauses
% 0.43/1.08  *** allocated 10000 integers for justifications
% 0.43/1.08  Bliksem 1.12
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Automatic Strategy Selection
% 0.43/1.08  
% 0.43/1.08  Clauses:
% 0.43/1.08  [
% 0.43/1.08     [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ],
% 0.43/1.08     [ =( X, 'v_x' ), ~( =( 'v_f'( 'v_g'( X ) ), X ) ) ],
% 0.43/1.08     [ =( 'v_g'( 'v_f'( 'v_xa'( X ) ) ), 'v_xa'( X ) ), ~( =( 'v_g'( 'v_f'( X
% 0.43/1.08     ) ), X ) ) ],
% 0.43/1.08     [ ~( =( 'v_xa'( X ), X ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) ) ]
% 0.43/1.08  ] .
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.08  This is a pure equality problem
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Options Used:
% 0.43/1.08  
% 0.43/1.08  useres =            1
% 0.43/1.08  useparamod =        1
% 0.43/1.08  useeqrefl =         1
% 0.43/1.08  useeqfact =         1
% 0.43/1.08  usefactor =         1
% 0.43/1.08  usesimpsplitting =  0
% 0.43/1.08  usesimpdemod =      5
% 0.43/1.08  usesimpres =        3
% 0.43/1.08  
% 0.43/1.08  resimpinuse      =  1000
% 0.43/1.08  resimpclauses =     20000
% 0.43/1.08  substype =          eqrewr
% 0.43/1.08  backwardsubs =      1
% 0.43/1.08  selectoldest =      5
% 0.43/1.08  
% 0.43/1.08  litorderings [0] =  split
% 0.43/1.08  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.08  
% 0.43/1.08  termordering =      kbo
% 0.43/1.08  
% 0.43/1.08  litapriori =        0
% 0.43/1.08  termapriori =       1
% 0.43/1.08  litaposteriori =    0
% 0.43/1.08  termaposteriori =   0
% 0.43/1.08  demodaposteriori =  0
% 0.43/1.08  ordereqreflfact =   0
% 0.43/1.08  
% 0.43/1.08  litselect =         negord
% 0.43/1.08  
% 0.43/1.08  maxweight =         15
% 0.43/1.08  maxdepth =          30000
% 0.43/1.08  maxlength =         115
% 0.43/1.08  maxnrvars =         195
% 0.43/1.08  excuselevel =       1
% 0.43/1.08  increasemaxweight = 1
% 0.43/1.08  
% 0.43/1.08  maxselected =       10000000
% 0.43/1.08  maxnrclauses =      10000000
% 0.43/1.08  
% 0.43/1.08  showgenerated =    0
% 0.43/1.08  showkept =         0
% 0.43/1.08  showselected =     0
% 0.43/1.08  showdeleted =      0
% 0.43/1.08  showresimp =       1
% 0.43/1.08  showstatus =       2000
% 0.43/1.08  
% 0.43/1.08  prologoutput =     1
% 0.43/1.08  nrgoals =          5000000
% 0.43/1.08  totalproof =       1
% 0.43/1.08  
% 0.43/1.08  Symbols occurring in the translation:
% 0.43/1.08  
% 0.43/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.08  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 0.43/1.08  !  [4, 1]      (w:0, o:11, a:1, s:1, b:0), 
% 0.43/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.08  'v_x'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.43/1.08  'v_g'  [40, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.43/1.08  'v_f'  [41, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.43/1.08  'v_xa'  [43, 1]      (w:1, o:18, a:1, s:1, b:0).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Starting Search:
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Bliksems!, er is een bewijs:
% 0.43/1.08  % SZS status Unsatisfiable
% 0.43/1.08  % SZS output start Refutation
% 0.43/1.08  
% 0.43/1.08  clause( 0, [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 1, [ =( X, 'v_x' ), ~( =( 'v_f'( 'v_g'( X ) ), X ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 2, [ =( 'v_g'( 'v_f'( 'v_xa'( X ) ) ), 'v_xa'( X ) ), ~( =( 'v_g'( 
% 0.43/1.08    'v_f'( X ) ), X ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 3, [ ~( =( 'v_xa'( X ), X ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) ) ]
% 0.43/1.08     )
% 0.43/1.08  .
% 0.43/1.08  clause( 12, [ ~( =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 26, [ =( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ), 'v_xa'( 'v_g'( 
% 0.43/1.08    'v_x' ) ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 29, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 32, [] )
% 0.43/1.08  .
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  % SZS output end Refutation
% 0.43/1.08  found a proof!
% 0.43/1.08  
% 0.43/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08  
% 0.43/1.08  initialclauses(
% 0.43/1.08  [ clause( 34, [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ] )
% 0.43/1.08  , clause( 35, [ =( X, 'v_x' ), ~( =( 'v_f'( 'v_g'( X ) ), X ) ) ] )
% 0.43/1.08  , clause( 36, [ =( 'v_g'( 'v_f'( 'v_xa'( X ) ) ), 'v_xa'( X ) ), ~( =( 
% 0.43/1.08    'v_g'( 'v_f'( X ) ), X ) ) ] )
% 0.43/1.08  , clause( 37, [ ~( =( 'v_xa'( X ), X ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) )
% 0.43/1.08     ] )
% 0.43/1.08  ] ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 0, [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ] )
% 0.43/1.08  , clause( 34, [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 1, [ =( X, 'v_x' ), ~( =( 'v_f'( 'v_g'( X ) ), X ) ) ] )
% 0.43/1.08  , clause( 35, [ =( X, 'v_x' ), ~( =( 'v_f'( 'v_g'( X ) ), X ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.08    1 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 2, [ =( 'v_g'( 'v_f'( 'v_xa'( X ) ) ), 'v_xa'( X ) ), ~( =( 'v_g'( 
% 0.43/1.08    'v_f'( X ) ), X ) ) ] )
% 0.43/1.08  , clause( 36, [ =( 'v_g'( 'v_f'( 'v_xa'( X ) ) ), 'v_xa'( X ) ), ~( =( 
% 0.43/1.08    'v_g'( 'v_f'( X ) ), X ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.08    1 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 3, [ ~( =( 'v_xa'( X ), X ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) ) ]
% 0.43/1.08     )
% 0.43/1.08  , clause( 37, [ ~( =( 'v_xa'( X ), X ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) )
% 0.43/1.08     ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.08    1 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  eqswap(
% 0.43/1.08  clause( 61, [ ~( =( X, 'v_xa'( X ) ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , clause( 3, [ ~( =( 'v_xa'( X ), X ) ), ~( =( 'v_g'( 'v_f'( X ) ), X ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  paramod(
% 0.72/1.08  clause( 64, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), ~( =( 'v_g'( 'v_x'
% 0.72/1.08     ), 'v_xa'( 'v_g'( 'v_x' ) ) ) ) ] )
% 0.72/1.08  , clause( 0, [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ] )
% 0.72/1.08  , 0, clause( 61, [ ~( =( X, 'v_xa'( X ) ) ), ~( =( 'v_g'( 'v_f'( X ) ), X )
% 0.72/1.08     ) ] )
% 0.72/1.08  , 1, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_g'( 'v_x' ) )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  eqrefl(
% 0.72/1.08  clause( 65, [ ~( =( 'v_g'( 'v_x' ), 'v_xa'( 'v_g'( 'v_x' ) ) ) ) ] )
% 0.72/1.08  , clause( 64, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), ~( =( 'v_g'( 
% 0.72/1.08    'v_x' ), 'v_xa'( 'v_g'( 'v_x' ) ) ) ) ] )
% 0.72/1.08  , 0, substitution( 0, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  eqswap(
% 0.72/1.08  clause( 66, [ ~( =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.08  , clause( 65, [ ~( =( 'v_g'( 'v_x' ), 'v_xa'( 'v_g'( 'v_x' ) ) ) ) ] )
% 0.72/1.08  , 0, substitution( 0, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 12, [ ~( =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.09  , clause( 66, [ ~( =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 68, [ =( 'v_xa'( X ), 'v_g'( 'v_f'( 'v_xa'( X ) ) ) ), ~( =( 'v_g'( 
% 0.72/1.09    'v_f'( X ) ), X ) ) ] )
% 0.72/1.09  , clause( 2, [ =( 'v_g'( 'v_f'( 'v_xa'( X ) ) ), 'v_xa'( X ) ), ~( =( 'v_g'( 
% 0.72/1.09    'v_f'( X ) ), X ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  paramod(
% 0.72/1.09  clause( 71, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), =( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ), 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ) ) ] )
% 0.72/1.09  , clause( 0, [ =( 'v_f'( 'v_g'( 'v_x' ) ), 'v_x' ) ] )
% 0.72/1.09  , 0, clause( 68, [ =( 'v_xa'( X ), 'v_g'( 'v_f'( 'v_xa'( X ) ) ) ), ~( =( 
% 0.72/1.09    'v_g'( 'v_f'( X ) ), X ) ) ] )
% 0.72/1.09  , 1, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_g'( 'v_x' ) )] )
% 0.72/1.09    ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqrefl(
% 0.72/1.09  clause( 72, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ) ) ] )
% 0.72/1.09  , clause( 71, [ ~( =( 'v_g'( 'v_x' ), 'v_g'( 'v_x' ) ) ), =( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ), 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 73, [ =( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ), 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ] )
% 0.72/1.09  , clause( 72, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 26, [ =( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ), 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ] )
% 0.72/1.09  , clause( 73, [ =( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ), 'v_xa'( 
% 0.72/1.09    'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 75, [ ~( =( X, 'v_f'( 'v_g'( X ) ) ) ), =( X, 'v_x' ) ] )
% 0.72/1.09  , clause( 1, [ =( X, 'v_x' ), ~( =( 'v_f'( 'v_g'( X ) ), X ) ) ] )
% 0.72/1.09  , 1, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqswap(
% 0.72/1.09  clause( 77, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ) ) ] )
% 0.72/1.09  , clause( 26, [ =( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ), 'v_xa'( 
% 0.72/1.09    'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  paramod(
% 0.72/1.09  clause( 107, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ), ~( =( 'v_f'( 
% 0.72/1.09    'v_xa'( 'v_g'( 'v_x' ) ) ), 'v_f'( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) )
% 0.72/1.09     ) ) ) ) ) ] )
% 0.72/1.09  , clause( 75, [ ~( =( X, 'v_f'( 'v_g'( X ) ) ) ), =( X, 'v_x' ) ] )
% 0.72/1.09  , 1, clause( 77, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ) ) ] )
% 0.72/1.09  , 0, 5, substitution( 0, [ :=( X, 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) )] ), 
% 0.72/1.09    substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  paramod(
% 0.72/1.09  clause( 595, [ ~( =( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ), 'v_f'( 'v_xa'( 
% 0.72/1.09    'v_g'( 'v_x' ) ) ) ) ), =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ]
% 0.72/1.09     )
% 0.72/1.09  , clause( 26, [ =( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ) ), 'v_xa'( 
% 0.72/1.09    'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.09  , 0, clause( 107, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ), ~( =( 
% 0.72/1.09    'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ), 'v_f'( 'v_g'( 'v_f'( 'v_xa'( 'v_g'( 
% 0.72/1.09    'v_x' ) ) ) ) ) ) ) ] )
% 0.72/1.09  , 1, 7, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  eqrefl(
% 0.72/1.09  clause( 596, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ] )
% 0.72/1.09  , clause( 595, [ ~( =( 'v_f'( 'v_xa'( 'v_g'( 'v_x' ) ) ), 'v_f'( 'v_xa'( 
% 0.72/1.09    'v_g'( 'v_x' ) ) ) ) ), =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ]
% 0.72/1.09     )
% 0.72/1.09  , 0, substitution( 0, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 29, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ] )
% 0.72/1.09  , clause( 596, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  resolution(
% 0.72/1.09  clause( 600, [] )
% 0.72/1.09  , clause( 12, [ ~( =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ) ] )
% 0.72/1.09  , 0, clause( 29, [ =( 'v_xa'( 'v_g'( 'v_x' ) ), 'v_g'( 'v_x' ) ) ] )
% 0.72/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  subsumption(
% 0.72/1.09  clause( 32, [] )
% 0.72/1.09  , clause( 600, [] )
% 0.72/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  end.
% 0.72/1.09  
% 0.72/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09  
% 0.72/1.09  Memory use:
% 0.72/1.09  
% 0.72/1.09  space for terms:        542
% 0.72/1.09  space for clauses:      2420
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  clauses generated:      78
% 0.72/1.09  clauses kept:           33
% 0.72/1.09  clauses selected:       7
% 0.72/1.09  clauses deleted:        1
% 0.72/1.09  clauses inuse deleted:  0
% 0.72/1.09  
% 0.72/1.09  subsentry:          23351
% 0.72/1.09  literals s-matched: 699
% 0.72/1.09  literals matched:   694
% 0.72/1.09  full subsumption:   12
% 0.72/1.09  
% 0.72/1.09  checksum:           -1872662007
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Bliksem ended
%------------------------------------------------------------------------------