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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : FLD071-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 : Sat Jul 16 01:51:26 EDT 2022

% Result   : Unsatisfiable 36.62s 36.99s
% Output   : Refutation 36.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : FLD071-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n029.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 : Mon Jun  6 18:10:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 8.46/8.85  *** allocated 10000 integers for termspace/termends
% 8.46/8.85  *** allocated 10000 integers for clauses
% 8.46/8.85  *** allocated 10000 integers for justifications
% 8.46/8.85  Bliksem 1.12
% 8.46/8.85  
% 8.46/8.85  
% 8.46/8.85  Automatic Strategy Selection
% 8.46/8.85  
% 8.46/8.85  Clauses:
% 8.46/8.85  [
% 8.46/8.85     [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 8.46/8.85    , Z ) ) ],
% 8.46/8.85     [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 8.46/8.85    , Z ) ) ],
% 8.46/8.85     [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 8.46/8.85     [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 8.46/8.85     ) ) ],
% 8.46/8.85     [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 8.46/8.85     [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ), 
% 8.46/8.85    ~( product( U, W, Z ) ) ],
% 8.46/8.85     [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ), 
% 8.46/8.85    ~( product( T, W, Z ) ) ],
% 8.46/8.85     [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 8.46/8.85     [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 8.46/8.85    , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 8.46/8.85    ,
% 8.46/8.85     [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 8.46/8.85     [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~( 
% 8.46/8.85    product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 8.46/8.85     [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~( 
% 8.46/8.85    product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 8.46/8.85     [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 8.46/8.85     [ defined( 'additive_identity' ) ],
% 8.46/8.85     [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 8.46/8.85     [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 8.46/8.85    ,
% 8.46/8.85     [ defined( 'multiplicative_identity' ) ],
% 8.46/8.85     [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum( 
% 8.46/8.85    'additive_identity', X, 'additive_identity' ) ],
% 8.46/8.85     [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 8.46/8.85     [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 8.46/8.85     ) ],
% 8.46/8.85     [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~( 
% 8.46/8.85    'less_or_equal'( Y, X ) ) ],
% 8.46/8.85     [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~( 
% 8.46/8.85    'less_or_equal'( Z, Y ) ) ],
% 8.46/8.85     [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ), 
% 8.46/8.85    ~( defined( Y ) ) ],
% 8.46/8.85     [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 8.46/8.85     ) ), ~( sum( T, U, Y ) ) ],
% 8.46/8.85     [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'( 
% 8.46/8.85    'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 8.46/8.85     ), ~( product( Y, Z, X ) ) ],
% 8.46/8.85     [ ~( sum( 'additive_identity', 'additive_identity', 
% 8.46/8.85    'multiplicative_identity' ) ) ],
% 8.46/8.85     [ defined( a ) ],
% 8.46/8.85     [ defined( b ) ],
% 8.46/8.85     [ 'less_or_equal'( 'additive_identity', a ) ],
% 8.46/8.85     [ 'less_or_equal'( 'additive_identity', b ) ],
% 8.46/8.85     [ ~( 'less_or_equal'( 'additive_identity', multiply( a, b ) ) ) ]
% 8.46/8.85  ] .
% 8.46/8.85  
% 8.46/8.85  
% 8.46/8.85  percentage equality = 0.000000, percentage horn = 0.903226
% 8.46/8.85  This is a near-Horn, non-equality  problem
% 8.46/8.85  
% 8.46/8.85  
% 8.46/8.85  Options Used:
% 8.46/8.85  
% 8.46/8.85  useres =            1
% 8.46/8.85  useparamod =        0
% 8.46/8.85  useeqrefl =         0
% 8.46/8.85  useeqfact =         0
% 8.46/8.85  usefactor =         1
% 8.46/8.85  usesimpsplitting =  0
% 8.46/8.85  usesimpdemod =      0
% 8.46/8.85  usesimpres =        4
% 8.46/8.85  
% 8.46/8.85  resimpinuse      =  1000
% 8.46/8.85  resimpclauses =     20000
% 8.46/8.85  substype =          standard
% 8.46/8.85  backwardsubs =      1
% 8.46/8.85  selectoldest =      5
% 8.46/8.85  
% 8.46/8.85  litorderings [0] =  split
% 8.46/8.85  litorderings [1] =  liftord
% 8.46/8.85  
% 8.46/8.85  termordering =      none
% 8.46/8.85  
% 8.46/8.85  litapriori =        1
% 8.46/8.85  termapriori =       0
% 8.46/8.85  litaposteriori =    0
% 8.46/8.85  termaposteriori =   0
% 8.46/8.85  demodaposteriori =  0
% 8.46/8.85  ordereqreflfact =   0
% 8.46/8.85  
% 8.46/8.85  litselect =         negative
% 8.46/8.85  
% 8.46/8.85  maxweight =         30000
% 8.46/8.85  maxdepth =          30000
% 8.46/8.85  maxlength =         115
% 8.46/8.85  maxnrvars =         195
% 8.46/8.85  excuselevel =       0
% 8.46/8.85  increasemaxweight = 0
% 8.46/8.85  
% 8.46/8.85  maxselected =       10000000
% 8.46/8.85  maxnrclauses =      10000000
% 8.46/8.85  
% 8.46/8.85  showgenerated =    0
% 8.46/8.85  showkept =         0
% 8.46/8.85  showselected =     0
% 8.46/8.85  showdeleted =      0
% 8.46/8.85  showresimp =       1
% 8.46/8.85  showstatus =       2000
% 8.46/8.85  
% 8.46/8.85  prologoutput =     1
% 8.46/8.85  nrgoals =          5000000
% 8.46/8.85  totalproof =       1
% 8.46/8.85  
% 8.46/8.85  Symbols occurring in the translation:
% 8.46/8.85  
% 8.46/8.85  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 8.46/8.85  .  [1, 2]      (w:1, o:31, a:1, s:1, b:0), 
% 8.46/8.85  !  [4, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 8.46/8.85  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.46/8.85  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.46/8.85  sum  [42, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 32.14/32.51  'additive_identity'  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 32.14/32.51  defined  [47, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 32.14/32.51  'additive_inverse'  [48, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 32.14/32.51  product  [49, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 32.14/32.51  'multiplicative_identity'  [50, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 32.14/32.51  'multiplicative_inverse'  [51, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 32.14/32.51  add  [56, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 32.14/32.51  multiply  [57, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 32.14/32.51  'less_or_equal'  [58, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 32.14/32.51  a  [59, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 32.14/32.51  b  [60, 0]      (w:1, o:22, a:1, s:1, b:0).
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Starting Search:
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    2328
% 32.14/32.51  Kept:         2031
% 32.14/32.51  Inuse:        201
% 32.14/32.51  Deleted:      0
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    4578
% 32.14/32.51  Kept:         4044
% 32.14/32.51  Inuse:        326
% 32.14/32.51  Deleted:      6
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    6754
% 32.14/32.51  Kept:         6050
% 32.14/32.51  Inuse:        437
% 32.14/32.51  Deleted:      7
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    8942
% 32.14/32.51  Kept:         8053
% 32.14/32.51  Inuse:        539
% 32.14/32.51  Deleted:      10
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    11087
% 32.14/32.51  Kept:         10075
% 32.14/32.51  Inuse:        630
% 32.14/32.51  Deleted:      10
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    13194
% 32.14/32.51  Kept:         12075
% 32.14/32.51  Inuse:        717
% 32.14/32.51  Deleted:      10
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    15387
% 32.14/32.51  Kept:         14097
% 32.14/32.51  Inuse:        829
% 32.14/32.51  Deleted:      10
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    17988
% 32.14/32.51  Kept:         16101
% 32.14/32.51  Inuse:        911
% 32.14/32.51  Deleted:      10
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    20790
% 32.14/32.51  Kept:         18767
% 32.14/32.51  Inuse:        1006
% 32.14/32.51  Deleted:      10
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying clauses:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    23193
% 32.14/32.51  Kept:         21155
% 32.14/32.51  Inuse:        1021
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    25668
% 32.14/32.51  Kept:         23615
% 32.14/32.51  Inuse:        1036
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    28215
% 32.14/32.51  Kept:         26147
% 32.14/32.51  Inuse:        1051
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    30251
% 32.14/32.51  Kept:         28165
% 32.14/32.51  Inuse:        1070
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    32390
% 32.14/32.51  Kept:         30243
% 32.14/32.51  Inuse:        1116
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    34416
% 32.14/32.51  Kept:         32255
% 32.14/32.51  Inuse:        1130
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    37115
% 32.14/32.51  Kept:         34943
% 32.14/32.51  Inuse:        1141
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    39151
% 32.14/32.51  Kept:         36967
% 32.14/32.51  Inuse:        1153
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    41180
% 32.14/32.51  Kept:         38985
% 32.14/32.51  Inuse:        1164
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying clauses:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    43196
% 32.14/32.51  Kept:         40991
% 32.14/32.51  Inuse:        1174
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    45307
% 32.14/32.51  Kept:         43013
% 32.14/32.51  Inuse:        1225
% 32.14/32.51  Deleted:      14
% 32.14/32.51  Deletedinuse: 0
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  Resimplifying inuse:
% 32.14/32.51  Done
% 32.14/32.51  
% 32.14/32.51  
% 32.14/32.51  Intermediate Status:
% 32.14/32.51  Generated:    47447
% 36.62/36.99  Kept:         45026
% 36.62/36.99  Inuse:        1274
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    49641
% 36.62/36.99  Kept:         47056
% 36.62/36.99  Inuse:        1324
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    51814
% 36.62/36.99  Kept:         49073
% 36.62/36.99  Inuse:        1374
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    54151
% 36.62/36.99  Kept:         51344
% 36.62/36.99  Inuse:        1406
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    56577
% 36.62/36.99  Kept:         53760
% 36.62/36.99  Inuse:        1416
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    59035
% 36.62/36.99  Kept:         56208
% 36.62/36.99  Inuse:        1426
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    61525
% 36.62/36.99  Kept:         58688
% 36.62/36.99  Inuse:        1436
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    64047
% 36.62/36.99  Kept:         61200
% 36.62/36.99  Inuse:        1446
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying clauses:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    66601
% 36.62/36.99  Kept:         63744
% 36.62/36.99  Inuse:        1456
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    69187
% 36.62/36.99  Kept:         66320
% 36.62/36.99  Inuse:        1466
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    71625
% 36.62/36.99  Kept:         68652
% 36.62/36.99  Inuse:        1476
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    74005
% 36.62/36.99  Kept:         70712
% 36.62/36.99  Inuse:        1507
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    76202
% 36.62/36.99  Kept:         72750
% 36.62/36.99  Inuse:        1544
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    78725
% 36.62/36.99  Kept:         75223
% 36.62/36.99  Inuse:        1571
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    81804
% 36.62/36.99  Kept:         78273
% 36.62/36.99  Inuse:        1586
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    83861
% 36.62/36.99  Kept:         80280
% 36.62/36.99  Inuse:        1620
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying clauses:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    86449
% 36.62/36.99  Kept:         82862
% 36.62/36.99  Inuse:        1626
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    89341
% 36.62/36.99  Kept:         85744
% 36.62/36.99  Inuse:        1636
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    92265
% 36.62/36.99  Kept:         88658
% 36.62/36.99  Inuse:        1646
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    95221
% 36.62/36.99  Kept:         91604
% 36.62/36.99  Inuse:        1656
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    98209
% 36.62/36.99  Kept:         94582
% 36.62/36.99  Inuse:        1666
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    101229
% 36.62/36.99  Kept:         97592
% 36.62/36.99  Inuse:        1676
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    104281
% 36.62/36.99  Kept:         100634
% 36.62/36.99  Inuse:        1686
% 36.62/36.99  Deleted:      14
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying clauses:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    106963
% 36.62/36.99  Kept:         103254
% 36.62/36.99  Inuse:        1696
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    109583
% 36.62/36.99  Kept:         105824
% 36.62/36.99  Inuse:        1706
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    112445
% 36.62/36.99  Kept:         108629
% 36.62/36.99  Inuse:        1721
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    114461
% 36.62/36.99  Kept:         110634
% 36.62/36.99  Inuse:        1732
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    116587
% 36.62/36.99  Kept:         112717
% 36.62/36.99  Inuse:        1759
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    119524
% 36.62/36.99  Kept:         115647
% 36.62/36.99  Inuse:        1766
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    121635
% 36.62/36.99  Kept:         117733
% 36.62/36.99  Inuse:        1777
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    123733
% 36.62/36.99  Kept:         119820
% 36.62/36.99  Inuse:        1788
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  Resimplifying inuse:
% 36.62/36.99  Done
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Intermediate Status:
% 36.62/36.99  Generated:    125858
% 36.62/36.99  Kept:         121903
% 36.62/36.99  Inuse:        1814
% 36.62/36.99  Deleted:      16
% 36.62/36.99  Deletedinuse: 0
% 36.62/36.99  
% 36.62/36.99  Resimplifying clauses:
% 36.62/36.99  
% 36.62/36.99  Bliksems!, er is een bewijs:
% 36.62/36.99  % SZS status Unsatisfiable
% 36.62/36.99  % SZS output start Refutation
% 36.62/36.99  
% 36.62/36.99  clause( 19, [ ~( defined( X ) ), product( X, Y, multiply( X, Y ) ), ~( 
% 36.62/36.99    defined( Y ) ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 24, [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 36.62/36.99     ), ~( product( Y, Z, X ) ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 26, [ defined( a ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 27, [ defined( b ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 28, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 29, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 30, [ ~( 'less_or_equal'( 'additive_identity', multiply( a, b ) ) )
% 36.62/36.99     ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 424, [ product( X, b, multiply( X, b ) ), ~( defined( X ) ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 104538, [ product( a, b, multiply( a, b ) ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 105828, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', a ) ) ] )
% 36.62/36.99  .
% 36.62/36.99  clause( 121997, [] )
% 36.62/36.99  .
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  % SZS output end Refutation
% 36.62/36.99  found a proof!
% 36.62/36.99  
% 36.62/36.99  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 36.62/36.99  
% 36.62/36.99  initialclauses(
% 36.62/36.99  [ clause( 121999, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y )
% 36.62/36.99     ), ~( sum( U, W, Z ) ) ] )
% 36.62/36.99  , clause( 122000, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W )
% 36.62/36.99     ), ~( sum( T, W, Z ) ) ] )
% 36.62/36.99  , clause( 122001, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ]
% 36.62/36.99     )
% 36.62/36.99  , clause( 122002, [ sum( 'additive_inverse'( X ), X, 'additive_identity' )
% 36.62/36.99    , ~( defined( X ) ) ] )
% 36.62/36.99  , clause( 122003, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 36.62/36.99  , clause( 122004, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( 
% 36.62/36.99    T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 36.62/36.99  , clause( 122005, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( 
% 36.62/36.99    U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 36.62/36.99  , clause( 122006, [ product( 'multiplicative_identity', X, X ), ~( defined( 
% 36.62/36.99    X ) ) ] )
% 36.62/36.99  , clause( 122007, [ product( 'multiplicative_inverse'( X ), X, 
% 36.62/36.99    'multiplicative_identity' ), sum( 'additive_identity', X, 
% 36.62/36.99    'additive_identity' ), ~( defined( X ) ) ] )
% 36.62/36.99  , clause( 122008, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 36.62/36.99  , clause( 122009, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0
% 36.62/36.99    , Z ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 36.62/36.99  , clause( 122010, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T
% 36.62/36.99    , Y, W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 36.62/36.99  , clause( 122011, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( 
% 36.62/36.99    Y ) ) ] )
% 36.62/36.99  , clause( 122012, [ defined( 'additive_identity' ) ] )
% 36.62/36.99  , clause( 122013, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 36.62/36.99     )
% 36.62/36.99  , clause( 122014, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( 
% 36.62/36.99    defined( Y ) ) ] )
% 36.62/36.99  , clause( 122015, [ defined( 'multiplicative_identity' ) ] )
% 36.62/36.99  , clause( 122016, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X
% 36.62/36.99     ) ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 36.62/36.99  , clause( 122017, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( 
% 36.62/36.99    Y ) ) ] )
% 36.62/36.99  , clause( 122018, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), 
% 36.62/36.99    ~( defined( Y ) ) ] )
% 36.62/36.99  , clause( 122019, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X
% 36.62/36.99    , Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 36.62/36.99  , clause( 122020, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), 
% 36.62/36.99    ~( 'less_or_equal'( Z, Y ) ) ] )
% 36.62/36.99  , clause( 122021, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( 
% 36.62/36.99    defined( X ) ), ~( defined( Y ) ) ] )
% 36.62/36.99  , clause( 122022, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), 
% 36.62/36.99    ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 36.62/36.99  , clause( 122023, [ 'less_or_equal'( 'additive_identity', X ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 36.62/36.99  , clause( 122024, [ ~( sum( 'additive_identity', 'additive_identity', 
% 36.62/36.99    'multiplicative_identity' ) ) ] )
% 36.62/36.99  , clause( 122025, [ defined( a ) ] )
% 36.62/36.99  , clause( 122026, [ defined( b ) ] )
% 36.62/36.99  , clause( 122027, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 36.62/36.99  , clause( 122028, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 36.62/36.99  , clause( 122029, [ ~( 'less_or_equal'( 'additive_identity', multiply( a, b
% 36.62/36.99     ) ) ) ] )
% 36.62/36.99  ] ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 19, [ ~( defined( X ) ), product( X, Y, multiply( X, Y ) ), ~( 
% 36.62/36.99    defined( Y ) ) ] )
% 36.62/36.99  , clause( 122018, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), 
% 36.62/36.99    ~( defined( Y ) ) ] )
% 36.62/36.99  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 36.62/36.99     ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 24, [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 36.62/36.99     ), ~( product( Y, Z, X ) ) ] )
% 36.62/36.99  , clause( 122023, [ 'less_or_equal'( 'additive_identity', X ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 36.62/36.99  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 36.62/36.99    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 36.62/36.99     ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 26, [ defined( a ) ] )
% 36.62/36.99  , clause( 122025, [ defined( a ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 27, [ defined( b ) ] )
% 36.62/36.99  , clause( 122026, [ defined( b ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 28, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 36.62/36.99  , clause( 122027, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 29, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 36.62/36.99  , clause( 122028, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 30, [ ~( 'less_or_equal'( 'additive_identity', multiply( a, b ) ) )
% 36.62/36.99     ] )
% 36.62/36.99  , clause( 122029, [ ~( 'less_or_equal'( 'additive_identity', multiply( a, b
% 36.62/36.99     ) ) ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  resolution(
% 36.62/36.99  clause( 122256, [ ~( defined( X ) ), product( X, b, multiply( X, b ) ) ] )
% 36.62/36.99  , clause( 19, [ ~( defined( X ) ), product( X, Y, multiply( X, Y ) ), ~( 
% 36.62/36.99    defined( Y ) ) ] )
% 36.62/36.99  , 2, clause( 27, [ defined( b ) ] )
% 36.62/36.99  , 0, substitution( 0, [ :=( X, X ), :=( Y, b )] ), substitution( 1, [] )
% 36.62/36.99    ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 424, [ product( X, b, multiply( X, b ) ), ~( defined( X ) ) ] )
% 36.62/36.99  , clause( 122256, [ ~( defined( X ) ), product( X, b, multiply( X, b ) ) ]
% 36.62/36.99     )
% 36.62/36.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 36.62/36.99    0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  resolution(
% 36.62/36.99  clause( 122257, [ product( a, b, multiply( a, b ) ) ] )
% 36.62/36.99  , clause( 424, [ product( X, b, multiply( X, b ) ), ~( defined( X ) ) ] )
% 36.62/36.99  , 1, clause( 26, [ defined( a ) ] )
% 36.62/36.99  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 104538, [ product( a, b, multiply( a, b ) ) ] )
% 36.62/36.99  , clause( 122257, [ product( a, b, multiply( a, b ) ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  resolution(
% 36.62/36.99  clause( 122258, [ 'less_or_equal'( 'additive_identity', multiply( a, b ) )
% 36.62/36.99    , ~( 'less_or_equal'( 'additive_identity', a ) ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', b ) ) ] )
% 36.62/36.99  , clause( 24, [ 'less_or_equal'( 'additive_identity', X ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 36.62/36.99  , 3, clause( 104538, [ product( a, b, multiply( a, b ) ) ] )
% 36.62/36.99  , 0, substitution( 0, [ :=( X, multiply( a, b ) ), :=( Y, a ), :=( Z, b )] )
% 36.62/36.99    , substitution( 1, [] )).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  resolution(
% 36.62/36.99  clause( 122259, [ ~( 'less_or_equal'( 'additive_identity', a ) ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', b ) ) ] )
% 36.62/36.99  , clause( 30, [ ~( 'less_or_equal'( 'additive_identity', multiply( a, b ) )
% 36.62/36.99     ) ] )
% 36.62/36.99  , 0, clause( 122258, [ 'less_or_equal'( 'additive_identity', multiply( a, b
% 36.62/36.99     ) ), ~( 'less_or_equal'( 'additive_identity', a ) ), ~( 'less_or_equal'( 
% 36.62/36.99    'additive_identity', b ) ) ] )
% 36.62/36.99  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 105828, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', a ) ) ] )
% 36.62/36.99  , clause( 122259, [ ~( 'less_or_equal'( 'additive_identity', a ) ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', b ) ) ] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 36.62/36.99     ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  resolution(
% 36.62/36.99  clause( 122260, [ ~( 'less_or_equal'( 'additive_identity', a ) ) ] )
% 36.62/36.99  , clause( 105828, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~( 
% 36.62/36.99    'less_or_equal'( 'additive_identity', a ) ) ] )
% 36.62/36.99  , 0, clause( 29, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 36.62/36.99  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  resolution(
% 36.62/36.99  clause( 122261, [] )
% 36.62/36.99  , clause( 122260, [ ~( 'less_or_equal'( 'additive_identity', a ) ) ] )
% 36.62/36.99  , 0, clause( 28, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 36.62/36.99  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  subsumption(
% 36.62/36.99  clause( 121997, [] )
% 36.62/36.99  , clause( 122261, [] )
% 36.62/36.99  , substitution( 0, [] ), permutation( 0, [] ) ).
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  end.
% 36.62/36.99  
% 36.62/36.99  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 36.62/36.99  
% 36.62/36.99  Memory use:
% 36.62/36.99  
% 36.62/36.99  space for terms:        1785030
% 36.62/36.99  space for clauses:      9868544
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  clauses generated:      125954
% 36.62/36.99  clauses kept:           121998
% 36.62/36.99  clauses selected:       1815
% 36.62/36.99  clauses deleted:        21
% 36.62/36.99  clauses inuse deleted:  0
% 36.62/36.99  
% 36.62/36.99  subsentry:          239895
% 36.62/36.99  literals s-matched: 111009
% 36.62/36.99  literals matched:   73957
% 36.62/36.99  full subsumption:   54259
% 36.62/36.99  
% 36.62/36.99  checksum:           856399849
% 36.62/36.99  
% 36.62/36.99  
% 36.62/36.99  Bliksem ended
%------------------------------------------------------------------------------