TSTP Solution File: SWV009-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n006.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 0.46s 1.12s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % DateTime : Thu Jun 16 00:06:56 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.46/1.12  *** allocated 10000 integers for termspace/termends
% 0.46/1.12  *** allocated 10000 integers for clauses
% 0.46/1.12  *** allocated 10000 integers for justifications
% 0.46/1.12  Bliksem 1.12
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Automatic Strategy Selection
% 0.46/1.12  
% 0.46/1.12  Clauses:
% 0.46/1.12  [
% 0.46/1.12     [ 'less_or_equal'( X, Y ), less( Y, X ) ],
% 0.46/1.12     [ less( j, i ) ],
% 0.46/1.12     [ 'less_or_equal'( m, p ) ],
% 0.46/1.12     [ 'less_or_equal'( p, q ) ],
% 0.46/1.12     [ 'less_or_equal'( q, n ) ],
% 0.46/1.12     [ ~( 'less_or_equal'( m, X ) ), ~( less( X, i ) ), ~( less( j, Y ) ), 
% 0.46/1.12    ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y ) ) ],
% 0.46/1.12     [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( X, Y ) ), ~( 
% 0.46/1.12    'less_or_equal'( Y, j ) ), 'less_or_equal'( a( X ), a( Y ) ) ],
% 0.46/1.12     [ ~( 'less_or_equal'( i, X ) ), ~( 'less_or_equal'( X, Y ) ), ~( 
% 0.46/1.12    'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y ) ) ],
% 0.46/1.12     [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ]
% 0.46/1.12  ] .
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  percentage equality = 0.000000, percentage horn = 0.888889
% 0.46/1.12  This a non-horn, non-equality problem
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Options Used:
% 0.46/1.12  
% 0.46/1.12  useres =            1
% 0.46/1.12  useparamod =        0
% 0.46/1.12  useeqrefl =         0
% 0.46/1.12  useeqfact =         0
% 0.46/1.12  usefactor =         1
% 0.46/1.12  usesimpsplitting =  0
% 0.46/1.12  usesimpdemod =      0
% 0.46/1.12  usesimpres =        3
% 0.46/1.12  
% 0.46/1.12  resimpinuse      =  1000
% 0.46/1.12  resimpclauses =     20000
% 0.46/1.12  substype =          standard
% 0.46/1.12  backwardsubs =      1
% 0.46/1.12  selectoldest =      5
% 0.46/1.12  
% 0.46/1.12  litorderings [0] =  split
% 0.46/1.12  litorderings [1] =  liftord
% 0.46/1.12  
% 0.46/1.12  termordering =      none
% 0.46/1.12  
% 0.46/1.12  litapriori =        1
% 0.46/1.12  termapriori =       0
% 0.46/1.12  litaposteriori =    0
% 0.46/1.12  termaposteriori =   0
% 0.46/1.12  demodaposteriori =  0
% 0.46/1.12  ordereqreflfact =   0
% 0.46/1.12  
% 0.46/1.12  litselect =         none
% 0.46/1.12  
% 0.46/1.12  maxweight =         15
% 0.46/1.12  maxdepth =          30000
% 0.46/1.12  maxlength =         115
% 0.46/1.12  maxnrvars =         195
% 0.46/1.12  excuselevel =       1
% 0.46/1.12  increasemaxweight = 1
% 0.46/1.12  
% 0.46/1.12  maxselected =       10000000
% 0.46/1.12  maxnrclauses =      10000000
% 0.46/1.12  
% 0.46/1.12  showgenerated =    0
% 0.46/1.12  showkept =         0
% 0.46/1.12  showselected =     0
% 0.46/1.12  showdeleted =      0
% 0.46/1.12  showresimp =       1
% 0.46/1.12  showstatus =       2000
% 0.46/1.12  
% 0.46/1.12  prologoutput =     1
% 0.46/1.12  nrgoals =          5000000
% 0.46/1.12  totalproof =       1
% 0.46/1.12  
% 0.46/1.12  Symbols occurring in the translation:
% 0.46/1.12  
% 0.46/1.12  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.46/1.12  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.46/1.12  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.46/1.12  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.12  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.12  'less_or_equal'  [41, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.46/1.12  less  [42, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.46/1.12  j  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.46/1.12  i  [44, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.46/1.12  m  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.46/1.12  p  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.46/1.12  q  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.46/1.12  n  [48, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.46/1.12  a  [49, 1]      (w:1, o:22, a:1, s:1, b:0).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Starting Search:
% 0.46/1.12  
% 0.46/1.12  Resimplifying inuse:
% 0.46/1.12  Done
% 0.46/1.12  
% 0.46/1.12  Failed to find proof!
% 0.46/1.12  maxweight =   15
% 0.46/1.12  maxnrclauses = 10000000
% 0.46/1.12  Generated: 220
% 0.46/1.12  Kept: 41
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  The strategy used was not complete!
% 0.46/1.12  
% 0.46/1.12  Increased maxweight to 16
% 0.46/1.12  
% 0.46/1.12  Starting Search:
% 0.46/1.12  
% 0.46/1.12  Resimplifying inuse:
% 0.46/1.12  Done
% 0.46/1.12  
% 0.46/1.12  Failed to find proof!
% 0.46/1.12  maxweight =   16
% 0.46/1.12  maxnrclauses = 10000000
% 0.46/1.12  Generated: 220
% 0.46/1.12  Kept: 41
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  The strategy used was not complete!
% 0.46/1.12  
% 0.46/1.12  Increased maxweight to 17
% 0.46/1.12  
% 0.46/1.12  Starting Search:
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Bliksems!, er is een bewijs:
% 0.46/1.12  % SZS status Unsatisfiable
% 0.46/1.12  % SZS output start Refutation
% 0.46/1.12  
% 0.46/1.12  clause( 0, [ 'less_or_equal'( X, Y ), less( Y, X ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 2, [ 'less_or_equal'( m, p ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 3, [ 'less_or_equal'( p, q ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 4, [ 'less_or_equal'( q, n ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 5, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), ~( less( j, Y ) ), ~( less( X, i ) ) ]
% 0.46/1.12     )
% 0.46/1.12  .
% 0.46/1.12  clause( 6, [ ~( 'less_or_equal'( Y, j ) ), 'less_or_equal'( a( X ), a( Y )
% 0.46/1.12     ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( m, X ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 7, [ ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y )
% 0.46/1.12     ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( i, X ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 8, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 17, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), 'less_or_equal'( Y, j ), ~( less( X, i
% 0.46/1.12     ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 24, [ ~( 'less_or_equal'( i, p ) ), ~( 'less_or_equal'( p, q ) ) ]
% 0.46/1.12     )
% 0.46/1.12  .
% 0.46/1.12  clause( 31, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( m, p ) ) ]
% 0.46/1.12     )
% 0.46/1.12  .
% 0.46/1.12  clause( 35, [ ~( 'less_or_equal'( q, j ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 36, [ ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 37, [ 'less_or_equal'( i, X ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( Y, j ), ~( 'less_or_equal'( m, X ) ), 'less_or_equal'( a( 
% 0.46/1.12    X ), a( Y ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 42, [ 'less_or_equal'( q, j ), ~( 'less_or_equal'( m, p ) ), ~( 
% 0.46/1.12    'less_or_equal'( q, n ) ) ] )
% 0.46/1.12  .
% 0.46/1.12  clause( 44, [] )
% 0.46/1.12  .
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  % SZS output end Refutation
% 0.46/1.12  found a proof!
% 0.46/1.12  
% 0.46/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.12  
% 0.46/1.12  initialclauses(
% 0.46/1.12  [ clause( 46, [ 'less_or_equal'( X, Y ), less( Y, X ) ] )
% 0.46/1.12  , clause( 47, [ less( j, i ) ] )
% 0.46/1.12  , clause( 48, [ 'less_or_equal'( m, p ) ] )
% 0.46/1.12  , clause( 49, [ 'less_or_equal'( p, q ) ] )
% 0.46/1.12  , clause( 50, [ 'less_or_equal'( q, n ) ] )
% 0.46/1.12  , clause( 51, [ ~( 'less_or_equal'( m, X ) ), ~( less( X, i ) ), ~( less( j
% 0.46/1.12    , Y ) ), ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y ) )
% 0.46/1.12     ] )
% 0.46/1.12  , clause( 52, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( X, Y ) )
% 0.46/1.12    , ~( 'less_or_equal'( Y, j ) ), 'less_or_equal'( a( X ), a( Y ) ) ] )
% 0.46/1.12  , clause( 53, [ ~( 'less_or_equal'( i, X ) ), ~( 'less_or_equal'( X, Y ) )
% 0.46/1.12    , ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y ) ) ] )
% 0.46/1.12  , clause( 54, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  ] ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 0, [ 'less_or_equal'( X, Y ), less( Y, X ) ] )
% 0.46/1.12  , clause( 46, [ 'less_or_equal'( X, Y ), less( Y, X ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12     ), ==>( 1, 1 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 2, [ 'less_or_equal'( m, p ) ] )
% 0.46/1.12  , clause( 48, [ 'less_or_equal'( m, p ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 3, [ 'less_or_equal'( p, q ) ] )
% 0.46/1.12  , clause( 49, [ 'less_or_equal'( p, q ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 4, [ 'less_or_equal'( q, n ) ] )
% 0.46/1.12  , clause( 50, [ 'less_or_equal'( q, n ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 5, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), ~( less( j, Y ) ), ~( less( X, i ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , clause( 51, [ ~( 'less_or_equal'( m, X ) ), ~( less( X, i ) ), ~( less( j
% 0.46/1.12    , Y ) ), ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y ) )
% 0.46/1.12     ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12     ), ==>( 1, 4 ), ==>( 2, 3 ), ==>( 3, 1 ), ==>( 4, 2 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 6, [ ~( 'less_or_equal'( Y, j ) ), 'less_or_equal'( a( X ), a( Y )
% 0.46/1.12     ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( m, X ) ) ] )
% 0.46/1.12  , clause( 52, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( X, Y ) )
% 0.46/1.12    , ~( 'less_or_equal'( Y, j ) ), 'less_or_equal'( a( X ), a( Y ) ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.46/1.12     ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 7, [ ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y )
% 0.46/1.12     ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( i, X ) ) ] )
% 0.46/1.12  , clause( 53, [ ~( 'less_or_equal'( i, X ) ), ~( 'less_or_equal'( X, Y ) )
% 0.46/1.12    , ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( Y ) ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.46/1.12     ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 1 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 8, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  , clause( 54, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 80, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), ~( less( X, i ) ), 'less_or_equal'( Y
% 0.46/1.12    , j ) ] )
% 0.46/1.12  , clause( 5, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), ~( less( j, Y ) ), ~( less( X, i ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , 3, clause( 0, [ 'less_or_equal'( X, Y ), less( Y, X ) ] )
% 0.46/1.12  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.46/1.12    , Y ), :=( Y, j )] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 17, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), 'less_or_equal'( Y, j ), ~( less( X, i
% 0.46/1.12     ) ) ] )
% 0.46/1.12  , clause( 80, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) )
% 0.46/1.12    , 'less_or_equal'( a( X ), a( Y ) ), ~( less( X, i ) ), 'less_or_equal'( 
% 0.46/1.12    Y, j ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 4 ), ==>( 4, 3 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 86, [ ~( 'less_or_equal'( q, n ) ), ~( 'less_or_equal'( p, q ) ), 
% 0.46/1.12    ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  , clause( 8, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  , 0, clause( 7, [ ~( 'less_or_equal'( Y, n ) ), 'less_or_equal'( a( X ), a( 
% 0.46/1.12    Y ) ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( i, X ) ) ] )
% 0.46/1.12  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q )] )
% 0.46/1.12    ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 87, [ ~( 'less_or_equal'( p, q ) ), ~( 'less_or_equal'( i, p ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , clause( 86, [ ~( 'less_or_equal'( q, n ) ), ~( 'less_or_equal'( p, q ) )
% 0.46/1.12    , ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  , 0, clause( 4, [ 'less_or_equal'( q, n ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 24, [ ~( 'less_or_equal'( i, p ) ), ~( 'less_or_equal'( p, q ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , clause( 87, [ ~( 'less_or_equal'( p, q ) ), ~( 'less_or_equal'( i, p ) )
% 0.46/1.12     ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.46/1.12     ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 88, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( p, q ) ), 
% 0.46/1.12    ~( 'less_or_equal'( m, p ) ) ] )
% 0.46/1.12  , clause( 8, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  , 0, clause( 6, [ ~( 'less_or_equal'( Y, j ) ), 'less_or_equal'( a( X ), a( 
% 0.46/1.12    Y ) ), ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( m, X ) ) ] )
% 0.46/1.12  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q )] )
% 0.46/1.12    ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 89, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( m, p ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , clause( 88, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( p, q ) )
% 0.46/1.12    , ~( 'less_or_equal'( m, p ) ) ] )
% 0.46/1.12  , 1, clause( 3, [ 'less_or_equal'( p, q ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 31, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( m, p ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , clause( 89, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( m, p ) )
% 0.46/1.12     ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.46/1.12     ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 90, [ ~( 'less_or_equal'( q, j ) ) ] )
% 0.46/1.12  , clause( 31, [ ~( 'less_or_equal'( q, j ) ), ~( 'less_or_equal'( m, p ) )
% 0.46/1.12     ] )
% 0.46/1.12  , 1, clause( 2, [ 'less_or_equal'( m, p ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 35, [ ~( 'less_or_equal'( q, j ) ) ] )
% 0.46/1.12  , clause( 90, [ ~( 'less_or_equal'( q, j ) ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 91, [ ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  , clause( 24, [ ~( 'less_or_equal'( i, p ) ), ~( 'less_or_equal'( p, q ) )
% 0.46/1.12     ] )
% 0.46/1.12  , 1, clause( 3, [ 'less_or_equal'( p, q ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 36, [ ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  , clause( 91, [ ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 94, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( a( X ), a( Y ) ), 'less_or_equal'( Y, j ), 
% 0.46/1.12    'less_or_equal'( i, X ) ] )
% 0.46/1.12  , clause( 17, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) )
% 0.46/1.12    , 'less_or_equal'( a( X ), a( Y ) ), 'less_or_equal'( Y, j ), ~( less( X
% 0.46/1.12    , i ) ) ] )
% 0.46/1.12  , 4, clause( 0, [ 'less_or_equal'( X, Y ), less( Y, X ) ] )
% 0.46/1.12  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.46/1.12    , i ), :=( Y, X )] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 37, [ 'less_or_equal'( i, X ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( Y, j ), ~( 'less_or_equal'( m, X ) ), 'less_or_equal'( a( 
% 0.46/1.12    X ), a( Y ) ) ] )
% 0.46/1.12  , clause( 94, [ ~( 'less_or_equal'( m, X ) ), ~( 'less_or_equal'( Y, n ) )
% 0.46/1.12    , 'less_or_equal'( a( X ), a( Y ) ), 'less_or_equal'( Y, j ), 
% 0.46/1.12    'less_or_equal'( i, X ) ] )
% 0.46/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 3
% 0.46/1.12     ), ==>( 1, 1 ), ==>( 2, 4 ), ==>( 3, 2 ), ==>( 4, 0 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 97, [ 'less_or_equal'( i, p ), ~( 'less_or_equal'( q, n ) ), 
% 0.46/1.12    'less_or_equal'( q, j ), ~( 'less_or_equal'( m, p ) ) ] )
% 0.46/1.12  , clause( 8, [ ~( 'less_or_equal'( a( p ), a( q ) ) ) ] )
% 0.46/1.12  , 0, clause( 37, [ 'less_or_equal'( i, X ), ~( 'less_or_equal'( Y, n ) ), 
% 0.46/1.12    'less_or_equal'( Y, j ), ~( 'less_or_equal'( m, X ) ), 'less_or_equal'( a( 
% 0.46/1.12    X ), a( Y ) ) ] )
% 0.46/1.12  , 4, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q )] )
% 0.46/1.12    ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 98, [ ~( 'less_or_equal'( q, n ) ), 'less_or_equal'( q, j ), ~( 
% 0.46/1.12    'less_or_equal'( m, p ) ) ] )
% 0.46/1.12  , clause( 36, [ ~( 'less_or_equal'( i, p ) ) ] )
% 0.46/1.12  , 0, clause( 97, [ 'less_or_equal'( i, p ), ~( 'less_or_equal'( q, n ) ), 
% 0.46/1.12    'less_or_equal'( q, j ), ~( 'less_or_equal'( m, p ) ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 42, [ 'less_or_equal'( q, j ), ~( 'less_or_equal'( m, p ) ), ~( 
% 0.46/1.12    'less_or_equal'( q, n ) ) ] )
% 0.46/1.12  , clause( 98, [ ~( 'less_or_equal'( q, n ) ), 'less_or_equal'( q, j ), ~( 
% 0.46/1.12    'less_or_equal'( m, p ) ) ] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.46/1.12    , 1 )] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 99, [ ~( 'less_or_equal'( m, p ) ), ~( 'less_or_equal'( q, n ) ) ]
% 0.46/1.12     )
% 0.46/1.12  , clause( 35, [ ~( 'less_or_equal'( q, j ) ) ] )
% 0.46/1.12  , 0, clause( 42, [ 'less_or_equal'( q, j ), ~( 'less_or_equal'( m, p ) ), 
% 0.46/1.12    ~( 'less_or_equal'( q, n ) ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 100, [ ~( 'less_or_equal'( q, n ) ) ] )
% 0.46/1.12  , clause( 99, [ ~( 'less_or_equal'( m, p ) ), ~( 'less_or_equal'( q, n ) )
% 0.46/1.12     ] )
% 0.46/1.12  , 0, clause( 2, [ 'less_or_equal'( m, p ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  resolution(
% 0.46/1.12  clause( 101, [] )
% 0.46/1.12  , clause( 100, [ ~( 'less_or_equal'( q, n ) ) ] )
% 0.46/1.12  , 0, clause( 4, [ 'less_or_equal'( q, n ) ] )
% 0.46/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  subsumption(
% 0.46/1.12  clause( 44, [] )
% 0.46/1.12  , clause( 101, [] )
% 0.46/1.12  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  end.
% 0.46/1.12  
% 0.46/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.12  
% 0.46/1.12  Memory use:
% 0.46/1.12  
% 0.46/1.12  space for terms:        840
% 0.46/1.12  space for clauses:      2246
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  clauses generated:      113
% 0.46/1.12  clauses kept:           45
% 0.46/1.12  clauses selected:       35
% 0.46/1.12  clauses deleted:        4
% 0.46/1.12  clauses inuse deleted:  0
% 0.46/1.12  
% 0.46/1.12  subsentry:          117
% 0.46/1.12  literals s-matched: 37
% 0.46/1.12  literals matched:   37
% 0.46/1.12  full subsumption:   24
% 0.46/1.12  
% 0.46/1.12  checksum:           -325805488
% 0.46/1.12  
% 0.46/1.12  
% 0.46/1.12  Bliksem ended
%------------------------------------------------------------------------------