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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n004.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 : Wed Jul 20 16:22:08 EDT 2022

% Result   : Unsatisfiable 0.74s 1.11s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Tue Jun 14 21:31:09 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.74/1.11  *** allocated 10000 integers for termspace/termends
% 0.74/1.11  *** allocated 10000 integers for clauses
% 0.74/1.11  *** allocated 10000 integers for justifications
% 0.74/1.11  Bliksem 1.12
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  Automatic Strategy Selection
% 0.74/1.11  
% 0.74/1.11  Clauses:
% 0.74/1.11  [
% 0.74/1.11     [ =( predecessor( successor( X ) ), X ) ],
% 0.74/1.11     [ =( successor( predecessor( X ) ), X ) ],
% 0.74/1.11     [ =( X, Y ), ~( =( predecessor( X ), predecessor( Y ) ) ) ],
% 0.74/1.11     [ =( X, Y ), ~( =( successor( X ), successor( Y ) ) ) ],
% 0.74/1.11     [ 'less_than'( predecessor( X ), X ) ],
% 0.74/1.11     [ 'less_than'( X, successor( X ) ) ],
% 0.74/1.11     [ 'less_than'( X, Y ), ~( 'less_than'( X, Z ) ), ~( 'less_than'( Z, Y )
% 0.74/1.11     ) ],
% 0.74/1.11     [ 'less_than'( X, Y ), 'less_than'( Y, X ), =( X, Y ) ],
% 0.74/1.11     [ ~( 'less_than'( X, X ) ) ],
% 0.74/1.11     [ ~( 'less_than'( X, Y ) ), ~( 'less_than'( Y, X ) ) ],
% 0.74/1.11     [ 'less_than'( X, Y ), ~( =( Z, X ) ), ~( 'less_than'( Z, Y ) ) ],
% 0.74/1.11     [ 'less_than'( X, Y ), ~( =( Z, Y ) ), ~( 'less_than'( X, Z ) ) ],
% 0.74/1.11     [ ~( 'less_than'( n, l ) ) ],
% 0.74/1.11     [ 'less_than'( one, l ) ],
% 0.74/1.11     [ 'less_than'( a( l ), a( predecessor( l ) ) ) ],
% 0.74/1.11     [ 'less_than'( X, n ), 'less_than'( n, X ), ~( 'less_than'( one, n ) ), 
% 0.74/1.11    ~( 'less_than'( a( X ), a( predecessor( n ) ) ) ) ],
% 0.74/1.11     [ ~( 'less_than'( one, X ) ), ~( 'less_than'( X, n ) ), ~( 'less_than'( 
% 0.74/1.11    a( X ), a( predecessor( X ) ) ) ) ]
% 0.74/1.11  ] .
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  percentage equality = 0.272727, percentage horn = 0.882353
% 0.74/1.11  This is a problem with some equality
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  Options Used:
% 0.74/1.11  
% 0.74/1.11  useres =            1
% 0.74/1.11  useparamod =        1
% 0.74/1.11  useeqrefl =         1
% 0.74/1.11  useeqfact =         1
% 0.74/1.11  usefactor =         1
% 0.74/1.11  usesimpsplitting =  0
% 0.74/1.11  usesimpdemod =      5
% 0.74/1.11  usesimpres =        3
% 0.74/1.11  
% 0.74/1.11  resimpinuse      =  1000
% 0.74/1.11  resimpclauses =     20000
% 0.74/1.11  substype =          eqrewr
% 0.74/1.11  backwardsubs =      1
% 0.74/1.11  selectoldest =      5
% 0.74/1.11  
% 0.74/1.11  litorderings [0] =  split
% 0.74/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.74/1.11  
% 0.74/1.11  termordering =      kbo
% 0.74/1.11  
% 0.74/1.11  litapriori =        0
% 0.74/1.11  termapriori =       1
% 0.74/1.11  litaposteriori =    0
% 0.74/1.11  termaposteriori =   0
% 0.74/1.11  demodaposteriori =  0
% 0.74/1.11  ordereqreflfact =   0
% 0.74/1.11  
% 0.74/1.11  litselect =         negord
% 0.74/1.11  
% 0.74/1.11  maxweight =         15
% 0.74/1.11  maxdepth =          30000
% 0.74/1.11  maxlength =         115
% 0.74/1.11  maxnrvars =         195
% 0.74/1.11  excuselevel =       1
% 0.74/1.11  increasemaxweight = 1
% 0.74/1.11  
% 0.74/1.11  maxselected =       10000000
% 0.74/1.11  maxnrclauses =      10000000
% 0.74/1.11  
% 0.74/1.11  showgenerated =    0
% 0.74/1.11  showkept =         0
% 0.74/1.11  showselected =     0
% 0.74/1.11  showdeleted =      0
% 0.74/1.11  showresimp =       1
% 0.74/1.11  showstatus =       2000
% 0.74/1.11  
% 0.74/1.11  prologoutput =     1
% 0.74/1.11  nrgoals =          5000000
% 0.74/1.11  totalproof =       1
% 0.74/1.11  
% 0.74/1.11  Symbols occurring in the translation:
% 0.74/1.11  
% 0.74/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.11  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.74/1.11  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.74/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.11  successor  [40, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.74/1.11  predecessor  [41, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.74/1.11  'less_than'  [43, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.74/1.11  n  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.74/1.11  l  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.74/1.11  one  [47, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.74/1.11  a  [48, 1]      (w:1, o:22, a:1, s:1, b:0).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  Starting Search:
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  Bliksems!, er is een bewijs:
% 0.74/1.11  % SZS status Unsatisfiable
% 0.74/1.11  % SZS output start Refutation
% 0.74/1.11  
% 0.74/1.11  clause( 7, [ 'less_than'( X, Y ), 'less_than'( Y, X ), =( X, Y ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 8, [ ~( 'less_than'( X, X ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 12, [ ~( 'less_than'( n, l ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 13, [ 'less_than'( one, l ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 14, [ 'less_than'( a( l ), a( predecessor( l ) ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 15, [ 'less_than'( X, n ), 'less_than'( n, X ), ~( 'less_than'( one
% 0.74/1.11    , n ) ), ~( 'less_than'( a( X ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 16, [ ~( 'less_than'( one, X ) ), ~( 'less_than'( X, n ) ), ~( 
% 0.74/1.11    'less_than'( a( X ), a( predecessor( X ) ) ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 17, [ ~( 'less_than'( one, n ) ), ~( 'less_than'( a( n ), a( 
% 0.74/1.11    predecessor( n ) ) ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 428, [ ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 451, [ =( l, n ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 465, [ 'less_than'( a( n ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 467, [ 'less_than'( one, n ) ] )
% 0.74/1.11  .
% 0.74/1.11  clause( 478, [] )
% 0.74/1.11  .
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  % SZS output end Refutation
% 0.74/1.11  found a proof!
% 0.74/1.11  
% 0.74/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.11  
% 0.74/1.11  initialclauses(
% 0.74/1.11  [ clause( 480, [ =( predecessor( successor( X ) ), X ) ] )
% 0.74/1.11  , clause( 481, [ =( successor( predecessor( X ) ), X ) ] )
% 0.74/1.11  , clause( 482, [ =( X, Y ), ~( =( predecessor( X ), predecessor( Y ) ) ) ]
% 0.74/1.11     )
% 0.74/1.11  , clause( 483, [ =( X, Y ), ~( =( successor( X ), successor( Y ) ) ) ] )
% 0.74/1.11  , clause( 484, [ 'less_than'( predecessor( X ), X ) ] )
% 0.74/1.11  , clause( 485, [ 'less_than'( X, successor( X ) ) ] )
% 0.74/1.11  , clause( 486, [ 'less_than'( X, Y ), ~( 'less_than'( X, Z ) ), ~( 
% 0.74/1.11    'less_than'( Z, Y ) ) ] )
% 0.74/1.11  , clause( 487, [ 'less_than'( X, Y ), 'less_than'( Y, X ), =( X, Y ) ] )
% 0.74/1.11  , clause( 488, [ ~( 'less_than'( X, X ) ) ] )
% 0.74/1.11  , clause( 489, [ ~( 'less_than'( X, Y ) ), ~( 'less_than'( Y, X ) ) ] )
% 0.74/1.11  , clause( 490, [ 'less_than'( X, Y ), ~( =( Z, X ) ), ~( 'less_than'( Z, Y
% 0.74/1.11     ) ) ] )
% 0.74/1.11  , clause( 491, [ 'less_than'( X, Y ), ~( =( Z, Y ) ), ~( 'less_than'( X, Z
% 0.74/1.11     ) ) ] )
% 0.74/1.11  , clause( 492, [ ~( 'less_than'( n, l ) ) ] )
% 0.74/1.11  , clause( 493, [ 'less_than'( one, l ) ] )
% 0.74/1.11  , clause( 494, [ 'less_than'( a( l ), a( predecessor( l ) ) ) ] )
% 0.74/1.11  , clause( 495, [ 'less_than'( X, n ), 'less_than'( n, X ), ~( 'less_than'( 
% 0.74/1.11    one, n ) ), ~( 'less_than'( a( X ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , clause( 496, [ ~( 'less_than'( one, X ) ), ~( 'less_than'( X, n ) ), ~( 
% 0.74/1.11    'less_than'( a( X ), a( predecessor( X ) ) ) ) ] )
% 0.74/1.11  ] ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 7, [ 'less_than'( X, Y ), 'less_than'( Y, X ), =( X, Y ) ] )
% 0.74/1.11  , clause( 487, [ 'less_than'( X, Y ), 'less_than'( Y, X ), =( X, Y ) ] )
% 0.74/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.11     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 8, [ ~( 'less_than'( X, X ) ) ] )
% 0.74/1.11  , clause( 488, [ ~( 'less_than'( X, X ) ) ] )
% 0.74/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 12, [ ~( 'less_than'( n, l ) ) ] )
% 0.74/1.11  , clause( 492, [ ~( 'less_than'( n, l ) ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 13, [ 'less_than'( one, l ) ] )
% 0.74/1.11  , clause( 493, [ 'less_than'( one, l ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 14, [ 'less_than'( a( l ), a( predecessor( l ) ) ) ] )
% 0.74/1.11  , clause( 494, [ 'less_than'( a( l ), a( predecessor( l ) ) ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 15, [ 'less_than'( X, n ), 'less_than'( n, X ), ~( 'less_than'( one
% 0.74/1.11    , n ) ), ~( 'less_than'( a( X ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , clause( 495, [ 'less_than'( X, n ), 'less_than'( n, X ), ~( 'less_than'( 
% 0.74/1.11    one, n ) ), ~( 'less_than'( a( X ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.74/1.11    1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 16, [ ~( 'less_than'( one, X ) ), ~( 'less_than'( X, n ) ), ~( 
% 0.74/1.11    'less_than'( a( X ), a( predecessor( X ) ) ) ) ] )
% 0.74/1.11  , clause( 496, [ ~( 'less_than'( one, X ) ), ~( 'less_than'( X, n ) ), ~( 
% 0.74/1.11    'less_than'( a( X ), a( predecessor( X ) ) ) ) ] )
% 0.74/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.74/1.11    1 ), ==>( 2, 2 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  factor(
% 0.74/1.11  clause( 556, [ 'less_than'( n, n ), ~( 'less_than'( one, n ) ), ~( 
% 0.74/1.11    'less_than'( a( n ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , clause( 15, [ 'less_than'( X, n ), 'less_than'( n, X ), ~( 'less_than'( 
% 0.74/1.11    one, n ) ), ~( 'less_than'( a( X ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , 0, 1, substitution( 0, [ :=( X, n )] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 557, [ ~( 'less_than'( one, n ) ), ~( 'less_than'( a( n ), a( 
% 0.74/1.11    predecessor( n ) ) ) ) ] )
% 0.74/1.11  , clause( 8, [ ~( 'less_than'( X, X ) ) ] )
% 0.74/1.11  , 0, clause( 556, [ 'less_than'( n, n ), ~( 'less_than'( one, n ) ), ~( 
% 0.74/1.11    'less_than'( a( n ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , 0, substitution( 0, [ :=( X, n )] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 17, [ ~( 'less_than'( one, n ) ), ~( 'less_than'( a( n ), a( 
% 0.74/1.11    predecessor( n ) ) ) ) ] )
% 0.74/1.11  , clause( 557, [ ~( 'less_than'( one, n ) ), ~( 'less_than'( a( n ), a( 
% 0.74/1.11    predecessor( n ) ) ) ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.74/1.11     ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 558, [ ~( 'less_than'( one, l ) ), ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  , clause( 16, [ ~( 'less_than'( one, X ) ), ~( 'less_than'( X, n ) ), ~( 
% 0.74/1.11    'less_than'( a( X ), a( predecessor( X ) ) ) ) ] )
% 0.74/1.11  , 2, clause( 14, [ 'less_than'( a( l ), a( predecessor( l ) ) ) ] )
% 0.74/1.11  , 0, substitution( 0, [ :=( X, l )] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 559, [ ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  , clause( 558, [ ~( 'less_than'( one, l ) ), ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  , 0, clause( 13, [ 'less_than'( one, l ) ] )
% 0.74/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 428, [ ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  , clause( 559, [ ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 560, [ 'less_than'( n, l ), =( l, n ) ] )
% 0.74/1.11  , clause( 428, [ ~( 'less_than'( l, n ) ) ] )
% 0.74/1.11  , 0, clause( 7, [ 'less_than'( X, Y ), 'less_than'( Y, X ), =( X, Y ) ] )
% 0.74/1.11  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, l ), :=( Y, n )] )
% 0.74/1.11    ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 562, [ =( l, n ) ] )
% 0.74/1.11  , clause( 12, [ ~( 'less_than'( n, l ) ) ] )
% 0.74/1.11  , 0, clause( 560, [ 'less_than'( n, l ), =( l, n ) ] )
% 0.74/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 451, [ =( l, n ) ] )
% 0.74/1.11  , clause( 562, [ =( l, n ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  paramod(
% 0.74/1.11  clause( 566, [ 'less_than'( a( l ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  , clause( 451, [ =( l, n ) ] )
% 0.74/1.11  , 0, clause( 14, [ 'less_than'( a( l ), a( predecessor( l ) ) ) ] )
% 0.74/1.11  , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  paramod(
% 0.74/1.11  clause( 567, [ 'less_than'( a( n ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  , clause( 451, [ =( l, n ) ] )
% 0.74/1.11  , 0, clause( 566, [ 'less_than'( a( l ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 465, [ 'less_than'( a( n ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  , clause( 567, [ 'less_than'( a( n ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  paramod(
% 0.74/1.11  clause( 569, [ 'less_than'( one, n ) ] )
% 0.74/1.11  , clause( 451, [ =( l, n ) ] )
% 0.74/1.11  , 0, clause( 13, [ 'less_than'( one, l ) ] )
% 0.74/1.11  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 467, [ 'less_than'( one, n ) ] )
% 0.74/1.11  , clause( 569, [ 'less_than'( one, n ) ] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 570, [ ~( 'less_than'( a( n ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , clause( 17, [ ~( 'less_than'( one, n ) ), ~( 'less_than'( a( n ), a( 
% 0.74/1.11    predecessor( n ) ) ) ) ] )
% 0.74/1.11  , 0, clause( 467, [ 'less_than'( one, n ) ] )
% 0.74/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  resolution(
% 0.74/1.11  clause( 571, [] )
% 0.74/1.11  , clause( 570, [ ~( 'less_than'( a( n ), a( predecessor( n ) ) ) ) ] )
% 0.74/1.11  , 0, clause( 465, [ 'less_than'( a( n ), a( predecessor( n ) ) ) ] )
% 0.74/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  subsumption(
% 0.74/1.11  clause( 478, [] )
% 0.74/1.11  , clause( 571, [] )
% 0.74/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  end.
% 0.74/1.11  
% 0.74/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.11  
% 0.74/1.11  Memory use:
% 0.74/1.11  
% 0.74/1.11  space for terms:        6041
% 0.74/1.11  space for clauses:      22746
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  clauses generated:      1658
% 0.74/1.11  clauses kept:           479
% 0.74/1.11  clauses selected:       50
% 0.74/1.11  clauses deleted:        1
% 0.74/1.11  clauses inuse deleted:  0
% 0.74/1.11  
% 0.74/1.11  subsentry:          9794
% 0.74/1.11  literals s-matched: 7874
% 0.74/1.11  literals matched:   7874
% 0.74/1.11  full subsumption:   5860
% 0.74/1.11  
% 0.74/1.11  checksum:           -880753436
% 0.74/1.11  
% 0.74/1.11  
% 0.74/1.11  Bliksem ended
%------------------------------------------------------------------------------