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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 06:19:20 EDT 2022

% Result   : Unsatisfiable 0.71s 1.10s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n007.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 Jul  5 23:52:43 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.71/1.10  *** allocated 10000 integers for termspace/termends
% 0.71/1.10  *** allocated 10000 integers for clauses
% 0.71/1.10  *** allocated 10000 integers for justifications
% 0.71/1.10  Bliksem 1.12
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Automatic Strategy Selection
% 0.71/1.10  
% 0.71/1.10  Clauses:
% 0.71/1.10  [
% 0.71/1.10     [ ~( less( X, Y ) ), ~( less( Z, X ) ), less( Z, Y ) ],
% 0.71/1.10     [ ~( equalish( add( successor( X ), Y ), Z ) ), less( Y, Z ) ],
% 0.71/1.10     [ ~( less( X, Y ) ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( Y, X ) ), X ), Y ) ],
% 0.71/1.10     [ ~( divides( X, Y ) ), less( X, Y ), equalish( X, Y ) ],
% 0.71/1.10     [ ~( less( X, Y ) ), divides( X, Y ) ],
% 0.71/1.10     [ ~( equalish( X, Y ) ), divides( X, Y ) ],
% 0.71/1.10     [ ~( equalish( X, Y ) ), ~( equalish( Z, X ) ), equalish( Z, Y ) ],
% 0.71/1.10     [ less( a, b ) ],
% 0.71/1.10     [ divides( b, d ) ],
% 0.71/1.10     [ ~( less( a, d ) ) ]
% 0.71/1.10  ] .
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  percentage equality = 0.000000, percentage horn = 0.900000
% 0.71/1.10  This is a near-Horn, non-equality  problem
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Options Used:
% 0.71/1.10  
% 0.71/1.10  useres =            1
% 0.71/1.10  useparamod =        0
% 0.71/1.10  useeqrefl =         0
% 0.71/1.10  useeqfact =         0
% 0.71/1.10  usefactor =         1
% 0.71/1.10  usesimpsplitting =  0
% 0.71/1.10  usesimpdemod =      0
% 0.71/1.10  usesimpres =        4
% 0.71/1.10  
% 0.71/1.10  resimpinuse      =  1000
% 0.71/1.10  resimpclauses =     20000
% 0.71/1.10  substype =          standard
% 0.71/1.10  backwardsubs =      1
% 0.71/1.10  selectoldest =      5
% 0.71/1.10  
% 0.71/1.10  litorderings [0] =  split
% 0.71/1.10  litorderings [1] =  liftord
% 0.71/1.10  
% 0.71/1.10  termordering =      none
% 0.71/1.10  
% 0.71/1.10  litapriori =        1
% 0.71/1.10  termapriori =       0
% 0.71/1.10  litaposteriori =    0
% 0.71/1.10  termaposteriori =   0
% 0.71/1.10  demodaposteriori =  0
% 0.71/1.10  ordereqreflfact =   0
% 0.71/1.10  
% 0.71/1.10  litselect =         negative
% 0.71/1.10  
% 0.71/1.10  maxweight =         30000
% 0.71/1.10  maxdepth =          30000
% 0.71/1.10  maxlength =         115
% 0.71/1.10  maxnrvars =         195
% 0.71/1.10  excuselevel =       0
% 0.71/1.10  increasemaxweight = 0
% 0.71/1.10  
% 0.71/1.10  maxselected =       10000000
% 0.71/1.10  maxnrclauses =      10000000
% 0.71/1.10  
% 0.71/1.10  showgenerated =    0
% 0.71/1.10  showkept =         0
% 0.71/1.10  showselected =     0
% 0.71/1.10  showdeleted =      0
% 0.71/1.10  showresimp =       1
% 0.71/1.10  showstatus =       2000
% 0.71/1.10  
% 0.71/1.10  prologoutput =     1
% 0.71/1.10  nrgoals =          5000000
% 0.71/1.10  totalproof =       1
% 0.71/1.10  
% 0.71/1.10  Symbols occurring in the translation:
% 0.71/1.10  
% 0.71/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.10  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.71/1.10  !  [4, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.10  less  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.71/1.10  successor  [43, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.71/1.10  add  [44, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.71/1.10  equalish  [45, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.71/1.10  'predecessor_of_1st_minus_2nd'  [46, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.71/1.10  divides  [47, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.71/1.10  a  [48, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.71/1.10  b  [49, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.71/1.10  d  [50, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Starting Search:
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Bliksems!, er is een bewijs:
% 0.71/1.10  % SZS status Unsatisfiable
% 0.71/1.10  % SZS output start Refutation
% 0.71/1.10  
% 0.71/1.10  clause( 0, [ ~( less( X, Y ) ), less( Z, Y ), ~( less( Z, X ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 1, [ less( Y, Z ), ~( equalish( add( successor( X ), Y ), Z ) ) ]
% 0.71/1.10     )
% 0.71/1.10  .
% 0.71/1.10  clause( 2, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( Y, X
% 0.71/1.10     ) ), X ), Y ), ~( less( X, Y ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 3, [ less( X, Y ), equalish( X, Y ), ~( divides( X, Y ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 6, [ ~( equalish( X, Y ) ), equalish( Z, Y ), ~( equalish( Z, X ) )
% 0.71/1.10     ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 7, [ less( a, b ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 8, [ divides( b, d ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 9, [ ~( less( a, d ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 11, [ less( a, X ), ~( less( b, X ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 12, [ less( b, d ), equalish( b, d ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 14, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b, 
% 0.71/1.10    a ) ), a ), b ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 15, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b, 
% 0.71/1.10    a ) ), a ), X ), ~( equalish( b, X ) ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 17, [ less( b, d ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( b, a ) ), a ), d ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 19, [ less( a, d ) ] )
% 0.71/1.10  .
% 0.71/1.10  clause( 21, [] )
% 0.71/1.10  .
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  % SZS output end Refutation
% 0.71/1.10  found a proof!
% 0.71/1.10  
% 0.71/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10  
% 0.71/1.10  initialclauses(
% 0.71/1.10  [ clause( 23, [ ~( less( X, Y ) ), ~( less( Z, X ) ), less( Z, Y ) ] )
% 0.71/1.10  , clause( 24, [ ~( equalish( add( successor( X ), Y ), Z ) ), less( Y, Z )
% 0.71/1.10     ] )
% 0.71/1.10  , clause( 25, [ ~( less( X, Y ) ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( Y, X ) ), X ), Y ) ] )
% 0.71/1.10  , clause( 26, [ ~( divides( X, Y ) ), less( X, Y ), equalish( X, Y ) ] )
% 0.71/1.10  , clause( 27, [ ~( less( X, Y ) ), divides( X, Y ) ] )
% 0.71/1.10  , clause( 28, [ ~( equalish( X, Y ) ), divides( X, Y ) ] )
% 0.71/1.10  , clause( 29, [ ~( equalish( X, Y ) ), ~( equalish( Z, X ) ), equalish( Z, 
% 0.71/1.10    Y ) ] )
% 0.71/1.10  , clause( 30, [ less( a, b ) ] )
% 0.71/1.10  , clause( 31, [ divides( b, d ) ] )
% 0.71/1.10  , clause( 32, [ ~( less( a, d ) ) ] )
% 0.71/1.10  ] ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 0, [ ~( less( X, Y ) ), less( Z, Y ), ~( less( Z, X ) ) ] )
% 0.71/1.10  , clause( 23, [ ~( less( X, Y ) ), ~( less( Z, X ) ), less( Z, Y ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.71/1.10    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 1, [ less( Y, Z ), ~( equalish( add( successor( X ), Y ), Z ) ) ]
% 0.71/1.10     )
% 0.71/1.10  , clause( 24, [ ~( equalish( add( successor( X ), Y ), Z ) ), less( Y, Z )
% 0.71/1.10     ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.71/1.10    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 2, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( Y, X
% 0.71/1.10     ) ), X ), Y ), ~( less( X, Y ) ) ] )
% 0.71/1.10  , clause( 25, [ ~( less( X, Y ) ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( Y, X ) ), X ), Y ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.10     ), ==>( 1, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 3, [ less( X, Y ), equalish( X, Y ), ~( divides( X, Y ) ) ] )
% 0.71/1.10  , clause( 26, [ ~( divides( X, Y ) ), less( X, Y ), equalish( X, Y ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.71/1.10     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 6, [ ~( equalish( X, Y ) ), equalish( Z, Y ), ~( equalish( Z, X ) )
% 0.71/1.10     ] )
% 0.71/1.10  , clause( 29, [ ~( equalish( X, Y ) ), ~( equalish( Z, X ) ), equalish( Z, 
% 0.71/1.10    Y ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.71/1.10    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 7, [ less( a, b ) ] )
% 0.71/1.10  , clause( 30, [ less( a, b ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 8, [ divides( b, d ) ] )
% 0.71/1.10  , clause( 31, [ divides( b, d ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 9, [ ~( less( a, d ) ) ] )
% 0.71/1.10  , clause( 32, [ ~( less( a, d ) ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 46, [ ~( less( b, X ) ), less( a, X ) ] )
% 0.71/1.10  , clause( 0, [ ~( less( X, Y ) ), less( Z, Y ), ~( less( Z, X ) ) ] )
% 0.71/1.10  , 2, clause( 7, [ less( a, b ) ] )
% 0.71/1.10  , 0, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, a )] ), 
% 0.71/1.10    substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 11, [ less( a, X ), ~( less( b, X ) ) ] )
% 0.71/1.10  , clause( 46, [ ~( less( b, X ) ), less( a, X ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.10    0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 47, [ less( b, d ), equalish( b, d ) ] )
% 0.71/1.10  , clause( 3, [ less( X, Y ), equalish( X, Y ), ~( divides( X, Y ) ) ] )
% 0.71/1.10  , 2, clause( 8, [ divides( b, d ) ] )
% 0.71/1.10  , 0, substitution( 0, [ :=( X, b ), :=( Y, d )] ), substitution( 1, [] )
% 0.71/1.10    ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 12, [ less( b, d ), equalish( b, d ) ] )
% 0.71/1.10  , clause( 47, [ less( b, d ), equalish( b, d ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.71/1.10     ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 48, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b, 
% 0.71/1.10    a ) ), a ), b ) ] )
% 0.71/1.10  , clause( 2, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( Y
% 0.71/1.10    , X ) ), X ), Y ), ~( less( X, Y ) ) ] )
% 0.71/1.10  , 1, clause( 7, [ less( a, b ) ] )
% 0.71/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.71/1.10    ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 14, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b, 
% 0.71/1.10    a ) ), a ), b ) ] )
% 0.71/1.10  , clause( 48, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b
% 0.71/1.10    , a ) ), a ), b ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 50, [ ~( equalish( b, X ) ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( b, a ) ), a ), X ) ] )
% 0.71/1.10  , clause( 6, [ ~( equalish( X, Y ) ), equalish( Z, Y ), ~( equalish( Z, X )
% 0.71/1.10     ) ] )
% 0.71/1.10  , 2, clause( 14, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( 
% 0.71/1.10    b, a ) ), a ), b ) ] )
% 0.71/1.10  , 0, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( b, a ) ), a ) )] ), substitution( 1, [] )
% 0.71/1.10    ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 15, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b, 
% 0.71/1.10    a ) ), a ), X ), ~( equalish( b, X ) ) ] )
% 0.71/1.10  , clause( 50, [ ~( equalish( b, X ) ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( b, a ) ), a ), X ) ] )
% 0.71/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.10    0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 51, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b, 
% 0.71/1.10    a ) ), a ), d ), less( b, d ) ] )
% 0.71/1.10  , clause( 15, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b
% 0.71/1.10    , a ) ), a ), X ), ~( equalish( b, X ) ) ] )
% 0.71/1.10  , 1, clause( 12, [ less( b, d ), equalish( b, d ) ] )
% 0.71/1.10  , 1, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 17, [ less( b, d ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( b, a ) ), a ), d ) ] )
% 0.71/1.10  , clause( 51, [ equalish( add( successor( 'predecessor_of_1st_minus_2nd'( b
% 0.71/1.10    , a ) ), a ), d ), less( b, d ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.71/1.10     ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 52, [ less( a, d ), less( b, d ) ] )
% 0.71/1.10  , clause( 1, [ less( Y, Z ), ~( equalish( add( successor( X ), Y ), Z ) ) ]
% 0.71/1.10     )
% 0.71/1.10  , 1, clause( 17, [ less( b, d ), equalish( add( successor( 
% 0.71/1.10    'predecessor_of_1st_minus_2nd'( b, a ) ), a ), d ) ] )
% 0.71/1.10  , 1, substitution( 0, [ :=( X, 'predecessor_of_1st_minus_2nd'( b, a ) ), 
% 0.71/1.10    :=( Y, a ), :=( Z, d )] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 53, [ less( a, d ), less( a, d ) ] )
% 0.71/1.10  , clause( 11, [ less( a, X ), ~( less( b, X ) ) ] )
% 0.71/1.10  , 1, clause( 52, [ less( a, d ), less( b, d ) ] )
% 0.71/1.10  , 1, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  factor(
% 0.71/1.10  clause( 54, [ less( a, d ) ] )
% 0.71/1.10  , clause( 53, [ less( a, d ), less( a, d ) ] )
% 0.71/1.10  , 0, 1, substitution( 0, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 19, [ less( a, d ) ] )
% 0.71/1.10  , clause( 54, [ less( a, d ) ] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  resolution(
% 0.71/1.10  clause( 55, [] )
% 0.71/1.10  , clause( 9, [ ~( less( a, d ) ) ] )
% 0.71/1.10  , 0, clause( 19, [ less( a, d ) ] )
% 0.71/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  subsumption(
% 0.71/1.10  clause( 21, [] )
% 0.71/1.10  , clause( 55, [] )
% 0.71/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  end.
% 0.71/1.10  
% 0.71/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10  
% 0.71/1.10  Memory use:
% 0.71/1.10  
% 0.71/1.10  space for terms:        395
% 0.71/1.10  space for clauses:      1291
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  clauses generated:      28
% 0.71/1.10  clauses kept:           22
% 0.71/1.10  clauses selected:       18
% 0.71/1.10  clauses deleted:        1
% 0.71/1.10  clauses inuse deleted:  0
% 0.71/1.10  
% 0.71/1.10  subsentry:          13
% 0.71/1.10  literals s-matched: 5
% 0.71/1.10  literals matched:   5
% 0.71/1.10  full subsumption:   0
% 0.71/1.10  
% 0.71/1.10  checksum:           87951217
% 0.71/1.10  
% 0.71/1.10  
% 0.71/1.10  Bliksem ended
%------------------------------------------------------------------------------