TSTP Solution File: NUM016-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM016-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 06:19:16 EDT 2022

% Result   : Unsatisfiable 0.70s 1.10s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n013.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 Jul  6 16:20:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.70/1.10  *** allocated 10000 integers for termspace/termends
% 0.70/1.10  *** allocated 10000 integers for clauses
% 0.70/1.10  *** allocated 10000 integers for justifications
% 0.70/1.10  Bliksem 1.12
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Automatic Strategy Selection
% 0.70/1.10  
% 0.70/1.10  Clauses:
% 0.70/1.10  [
% 0.70/1.10     [ ~( less( X, X ) ) ],
% 0.70/1.10     [ ~( less( X, Y ) ), ~( less( Y, X ) ) ],
% 0.70/1.10     [ less( X, 'factorial_plus_one'( X ) ) ],
% 0.70/1.10     [ ~( divides( X, 'factorial_plus_one'( Y ) ) ), less( Y, X ) ],
% 0.70/1.10     [ prime( X ), divides( 'prime_divisor'( X ), X ) ],
% 0.70/1.10     [ prime( X ), prime( 'prime_divisor'( X ) ) ],
% 0.70/1.10     [ prime( X ), less( 'prime_divisor'( X ), X ) ],
% 0.70/1.10     [ ~( prime( X ) ), ~( less( a, X ) ), less( 'factorial_plus_one'( a ), X
% 0.70/1.10     ) ]
% 0.70/1.10  ] .
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  percentage equality = 0.000000, percentage horn = 0.625000
% 0.70/1.10  This a non-horn, non-equality problem
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Options Used:
% 0.70/1.10  
% 0.70/1.10  useres =            1
% 0.70/1.10  useparamod =        0
% 0.70/1.10  useeqrefl =         0
% 0.70/1.10  useeqfact =         0
% 0.70/1.10  usefactor =         1
% 0.70/1.10  usesimpsplitting =  0
% 0.70/1.10  usesimpdemod =      0
% 0.70/1.10  usesimpres =        3
% 0.70/1.10  
% 0.70/1.10  resimpinuse      =  1000
% 0.70/1.10  resimpclauses =     20000
% 0.70/1.10  substype =          standard
% 0.70/1.10  backwardsubs =      1
% 0.70/1.10  selectoldest =      5
% 0.70/1.10  
% 0.70/1.10  litorderings [0] =  split
% 0.70/1.10  litorderings [1] =  liftord
% 0.70/1.10  
% 0.70/1.10  termordering =      none
% 0.70/1.10  
% 0.70/1.10  litapriori =        1
% 0.70/1.10  termapriori =       0
% 0.70/1.10  litaposteriori =    0
% 0.70/1.10  termaposteriori =   0
% 0.70/1.10  demodaposteriori =  0
% 0.70/1.10  ordereqreflfact =   0
% 0.70/1.10  
% 0.70/1.10  litselect =         none
% 0.70/1.10  
% 0.70/1.10  maxweight =         15
% 0.70/1.10  maxdepth =          30000
% 0.70/1.10  maxlength =         115
% 0.70/1.10  maxnrvars =         195
% 0.70/1.10  excuselevel =       1
% 0.70/1.10  increasemaxweight = 1
% 0.70/1.10  
% 0.70/1.10  maxselected =       10000000
% 0.70/1.10  maxnrclauses =      10000000
% 0.70/1.10  
% 0.70/1.10  showgenerated =    0
% 0.70/1.10  showkept =         0
% 0.70/1.10  showselected =     0
% 0.70/1.10  showdeleted =      0
% 0.70/1.10  showresimp =       1
% 0.70/1.10  showstatus =       2000
% 0.70/1.10  
% 0.70/1.10  prologoutput =     1
% 0.70/1.10  nrgoals =          5000000
% 0.70/1.10  totalproof =       1
% 0.70/1.10  
% 0.70/1.10  Symbols occurring in the translation:
% 0.70/1.10  
% 0.70/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.10  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.70/1.10  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.70/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.10  less  [40, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.70/1.10  'factorial_plus_one'  [42, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.70/1.10  divides  [43, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.70/1.10  prime  [44, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.70/1.10  'prime_divisor'  [45, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.70/1.10  a  [46, 0]      (w:1, o:11, a:1, s:1, b:0).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Starting Search:
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Bliksems!, er is een bewijs:
% 0.70/1.10  % SZS status Unsatisfiable
% 0.70/1.10  % SZS output start Refutation
% 0.70/1.10  
% 0.70/1.10  clause( 0, [ ~( less( X, X ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 1, [ ~( less( Y, X ) ), ~( less( X, Y ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 2, [ less( X, 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 3, [ less( Y, X ), ~( divides( X, 'factorial_plus_one'( Y ) ) ) ]
% 0.70/1.10     )
% 0.70/1.10  .
% 0.70/1.10  clause( 4, [ prime( X ), divides( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 5, [ prime( 'prime_divisor'( X ) ), prime( X ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 6, [ prime( X ), less( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 7, [ ~( prime( X ) ), ~( less( a, X ) ), less( 'factorial_plus_one'( 
% 0.70/1.10    a ), X ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 9, [ prime( X ), ~( less( X, 'prime_divisor'( X ) ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 10, [ prime( 'factorial_plus_one'( X ) ), less( X, 'prime_divisor'( 
% 0.70/1.10    'factorial_plus_one'( X ) ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 12, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 14, [ ~( prime( 'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 16, [ ~( less( a, 'prime_divisor'( 'factorial_plus_one'( a ) ) ) )
% 0.70/1.10     ] )
% 0.70/1.10  .
% 0.70/1.10  clause( 18, [] )
% 0.70/1.10  .
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  % SZS output end Refutation
% 0.70/1.10  found a proof!
% 0.70/1.10  
% 0.70/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10  
% 0.70/1.10  initialclauses(
% 0.70/1.10  [ clause( 20, [ ~( less( X, X ) ) ] )
% 0.70/1.10  , clause( 21, [ ~( less( X, Y ) ), ~( less( Y, X ) ) ] )
% 0.70/1.10  , clause( 22, [ less( X, 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  , clause( 23, [ ~( divides( X, 'factorial_plus_one'( Y ) ) ), less( Y, X )
% 0.70/1.10     ] )
% 0.70/1.10  , clause( 24, [ prime( X ), divides( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , clause( 25, [ prime( X ), prime( 'prime_divisor'( X ) ) ] )
% 0.70/1.10  , clause( 26, [ prime( X ), less( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , clause( 27, [ ~( prime( X ) ), ~( less( a, X ) ), less( 
% 0.70/1.10    'factorial_plus_one'( a ), X ) ] )
% 0.70/1.10  ] ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 0, [ ~( less( X, X ) ) ] )
% 0.70/1.10  , clause( 20, [ ~( less( X, X ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 1, [ ~( less( Y, X ) ), ~( less( X, Y ) ) ] )
% 0.70/1.10  , clause( 21, [ ~( less( X, Y ) ), ~( less( Y, X ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.10     ), ==>( 1, 1 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 2, [ less( X, 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  , clause( 22, [ less( X, 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 3, [ less( Y, X ), ~( divides( X, 'factorial_plus_one'( Y ) ) ) ]
% 0.70/1.10     )
% 0.70/1.10  , clause( 23, [ ~( divides( X, 'factorial_plus_one'( Y ) ) ), less( Y, X )
% 0.70/1.10     ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.70/1.10     ), ==>( 1, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 4, [ prime( X ), divides( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , clause( 24, [ prime( X ), divides( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.70/1.10    1 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 5, [ prime( 'prime_divisor'( X ) ), prime( X ) ] )
% 0.70/1.10  , clause( 25, [ prime( X ), prime( 'prime_divisor'( X ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.70/1.10    0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 6, [ prime( X ), less( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , clause( 26, [ prime( X ), less( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.70/1.10    1 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 7, [ ~( prime( X ) ), ~( less( a, X ) ), less( 'factorial_plus_one'( 
% 0.70/1.10    a ), X ) ] )
% 0.70/1.10  , clause( 27, [ ~( prime( X ) ), ~( less( a, X ) ), less( 
% 0.70/1.10    'factorial_plus_one'( a ), X ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.70/1.10    1 ), ==>( 2, 2 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 35, [ ~( less( X, 'prime_divisor'( X ) ) ), prime( X ) ] )
% 0.70/1.10  , clause( 1, [ ~( less( Y, X ) ), ~( less( X, Y ) ) ] )
% 0.70/1.10  , 0, clause( 6, [ prime( X ), less( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , 1, substitution( 0, [ :=( X, X ), :=( Y, 'prime_divisor'( X ) )] ), 
% 0.70/1.10    substitution( 1, [ :=( X, X )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 9, [ prime( X ), ~( less( X, 'prime_divisor'( X ) ) ) ] )
% 0.70/1.10  , clause( 35, [ ~( less( X, 'prime_divisor'( X ) ) ), prime( X ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.70/1.10    0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 36, [ less( X, 'prime_divisor'( 'factorial_plus_one'( X ) ) ), 
% 0.70/1.10    prime( 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  , clause( 3, [ less( Y, X ), ~( divides( X, 'factorial_plus_one'( Y ) ) ) ]
% 0.70/1.10     )
% 0.70/1.10  , 1, clause( 4, [ prime( X ), divides( 'prime_divisor'( X ), X ) ] )
% 0.70/1.10  , 1, substitution( 0, [ :=( X, 'prime_divisor'( 'factorial_plus_one'( X ) )
% 0.70/1.10     ), :=( Y, X )] ), substitution( 1, [ :=( X, 'factorial_plus_one'( X ) )] )
% 0.70/1.10    ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 10, [ prime( 'factorial_plus_one'( X ) ), less( X, 'prime_divisor'( 
% 0.70/1.10    'factorial_plus_one'( X ) ) ) ] )
% 0.70/1.10  , clause( 36, [ less( X, 'prime_divisor'( 'factorial_plus_one'( X ) ) ), 
% 0.70/1.10    prime( 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.70/1.10    0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 38, [ prime( 'factorial_plus_one'( a ) ), ~( prime( 'prime_divisor'( 
% 0.70/1.10    'factorial_plus_one'( a ) ) ) ), ~( less( a, 'prime_divisor'( 
% 0.70/1.10    'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  , clause( 9, [ prime( X ), ~( less( X, 'prime_divisor'( X ) ) ) ] )
% 0.70/1.10  , 1, clause( 7, [ ~( prime( X ) ), ~( less( a, X ) ), less( 
% 0.70/1.10    'factorial_plus_one'( a ), X ) ] )
% 0.70/1.10  , 2, substitution( 0, [ :=( X, 'factorial_plus_one'( a ) )] ), 
% 0.70/1.10    substitution( 1, [ :=( X, 'prime_divisor'( 'factorial_plus_one'( a ) ) )] )
% 0.70/1.10    ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 39, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ), prime( 
% 0.70/1.10    'factorial_plus_one'( a ) ) ] )
% 0.70/1.10  , clause( 38, [ prime( 'factorial_plus_one'( a ) ), ~( prime( 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  , 1, clause( 5, [ prime( 'prime_divisor'( X ) ), prime( X ) ] )
% 0.70/1.10  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'factorial_plus_one'( 
% 0.70/1.10    a ) )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  factor(
% 0.70/1.10  clause( 40, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  , clause( 39, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ), prime( 
% 0.70/1.10    'factorial_plus_one'( a ) ) ] )
% 0.70/1.10  , 0, 2, substitution( 0, [] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 12, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  , clause( 40, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.10     ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 41, [ ~( prime( 'factorial_plus_one'( a ) ) ), ~( less( a, 
% 0.70/1.10    'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , clause( 0, [ ~( less( X, X ) ) ] )
% 0.70/1.10  , 0, clause( 7, [ ~( prime( X ) ), ~( less( a, X ) ), less( 
% 0.70/1.10    'factorial_plus_one'( a ), X ) ] )
% 0.70/1.10  , 2, substitution( 0, [ :=( X, 'factorial_plus_one'( a ) )] ), 
% 0.70/1.10    substitution( 1, [ :=( X, 'factorial_plus_one'( a ) )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 42, [ ~( prime( 'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , clause( 41, [ ~( prime( 'factorial_plus_one'( a ) ) ), ~( less( a, 
% 0.70/1.10    'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , 1, clause( 2, [ less( X, 'factorial_plus_one'( X ) ) ] )
% 0.70/1.10  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 14, [ ~( prime( 'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , clause( 42, [ ~( prime( 'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 43, [ ~( less( a, 'prime_divisor'( 'factorial_plus_one'( a ) ) ) )
% 0.70/1.10     ] )
% 0.70/1.10  , clause( 14, [ ~( prime( 'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , 0, clause( 12, [ prime( 'factorial_plus_one'( a ) ), ~( less( a, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( a ) ) ) ) ] )
% 0.70/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 16, [ ~( less( a, 'prime_divisor'( 'factorial_plus_one'( a ) ) ) )
% 0.70/1.10     ] )
% 0.70/1.10  , clause( 43, [ ~( less( a, 'prime_divisor'( 'factorial_plus_one'( a ) ) )
% 0.70/1.10     ) ] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 44, [ prime( 'factorial_plus_one'( a ) ) ] )
% 0.70/1.10  , clause( 16, [ ~( less( a, 'prime_divisor'( 'factorial_plus_one'( a ) ) )
% 0.70/1.10     ) ] )
% 0.70/1.10  , 0, clause( 10, [ prime( 'factorial_plus_one'( X ) ), less( X, 
% 0.70/1.10    'prime_divisor'( 'factorial_plus_one'( X ) ) ) ] )
% 0.70/1.10  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  resolution(
% 0.70/1.10  clause( 45, [] )
% 0.70/1.10  , clause( 14, [ ~( prime( 'factorial_plus_one'( a ) ) ) ] )
% 0.70/1.10  , 0, clause( 44, [ prime( 'factorial_plus_one'( a ) ) ] )
% 0.70/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  subsumption(
% 0.70/1.10  clause( 18, [] )
% 0.70/1.10  , clause( 45, [] )
% 0.70/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  end.
% 0.70/1.10  
% 0.70/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.10  
% 0.70/1.10  Memory use:
% 0.70/1.10  
% 0.70/1.10  space for terms:        283
% 0.70/1.10  space for clauses:      1197
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  clauses generated:      29
% 0.70/1.10  clauses kept:           19
% 0.70/1.10  clauses selected:       16
% 0.70/1.10  clauses deleted:        1
% 0.70/1.10  clauses inuse deleted:  0
% 0.70/1.10  
% 0.70/1.10  subsentry:          38
% 0.70/1.10  literals s-matched: 30
% 0.70/1.10  literals matched:   30
% 0.70/1.10  full subsumption:   6
% 0.70/1.10  
% 0.70/1.10  checksum:           -1282841263
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Bliksem ended
%------------------------------------------------------------------------------