TSTP Solution File: FLD070-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : FLD070-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 74.23s 74.64s
% Output   : Refutation 74.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD070-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n018.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 21:45:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 8.42/8.78  *** allocated 10000 integers for termspace/termends
% 8.42/8.78  *** allocated 10000 integers for clauses
% 8.42/8.78  *** allocated 10000 integers for justifications
% 8.42/8.78  Bliksem 1.12
% 8.42/8.78  
% 8.42/8.78  
% 8.42/8.78  Automatic Strategy Selection
% 8.42/8.78  
% 8.42/8.78  Clauses:
% 8.42/8.78  [
% 8.42/8.78     [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 8.42/8.78    , Z ) ) ],
% 8.42/8.78     [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 8.42/8.78    , Z ) ) ],
% 8.42/8.78     [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 8.42/8.78     [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 8.42/8.78     ) ) ],
% 8.42/8.78     [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 8.42/8.78     [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ), 
% 8.42/8.78    ~( product( U, W, Z ) ) ],
% 8.42/8.78     [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ), 
% 8.42/8.78    ~( product( T, W, Z ) ) ],
% 8.42/8.78     [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 8.42/8.78     [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 8.42/8.78    , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 8.42/8.78    ,
% 8.42/8.78     [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 8.42/8.78     [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~( 
% 8.42/8.78    product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 8.42/8.78     [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~( 
% 8.42/8.78    product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 8.42/8.78     [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 8.42/8.78     [ defined( 'additive_identity' ) ],
% 8.42/8.78     [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 8.42/8.78     [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 8.42/8.78    ,
% 8.42/8.78     [ defined( 'multiplicative_identity' ) ],
% 8.42/8.78     [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum( 
% 8.42/8.78    'additive_identity', X, 'additive_identity' ) ],
% 8.42/8.78     [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 8.42/8.78     [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 8.42/8.78     ) ],
% 8.42/8.78     [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~( 
% 8.42/8.78    'less_or_equal'( Y, X ) ) ],
% 8.42/8.78     [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~( 
% 8.42/8.78    'less_or_equal'( Z, Y ) ) ],
% 8.42/8.78     [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ), 
% 8.42/8.78    ~( defined( Y ) ) ],
% 8.42/8.78     [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 8.42/8.78     ) ), ~( sum( T, U, Y ) ) ],
% 8.42/8.78     [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'( 
% 8.42/8.78    'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 8.42/8.78     ), ~( product( Y, Z, X ) ) ],
% 8.42/8.78     [ ~( sum( 'additive_identity', 'additive_identity', 
% 8.42/8.78    'multiplicative_identity' ) ) ],
% 8.42/8.78     [ defined( a ) ],
% 8.42/8.78     [ defined( b ) ],
% 8.42/8.78     [ defined( c ) ],
% 8.42/8.78     [ 'less_or_equal'( 'additive_identity', a ) ],
% 8.42/8.78     [ 'less_or_equal'( 'additive_identity', b ) ],
% 8.42/8.78     [ sum( a, b, c ) ],
% 8.42/8.78     [ ~( 'less_or_equal'( 'additive_identity', c ) ) ]
% 8.42/8.78  ] .
% 8.42/8.78  
% 8.42/8.78  
% 8.42/8.78  percentage equality = 0.000000, percentage horn = 0.909091
% 8.42/8.78  This is a near-Horn, non-equality  problem
% 8.42/8.78  
% 8.42/8.78  
% 8.42/8.78  Options Used:
% 8.42/8.78  
% 8.42/8.78  useres =            1
% 8.42/8.78  useparamod =        0
% 8.42/8.78  useeqrefl =         0
% 8.42/8.78  useeqfact =         0
% 8.42/8.78  usefactor =         1
% 8.42/8.78  usesimpsplitting =  0
% 8.42/8.78  usesimpdemod =      0
% 8.42/8.78  usesimpres =        4
% 8.42/8.78  
% 8.42/8.78  resimpinuse      =  1000
% 8.42/8.78  resimpclauses =     20000
% 8.42/8.78  substype =          standard
% 8.42/8.78  backwardsubs =      1
% 8.42/8.78  selectoldest =      5
% 8.42/8.78  
% 8.42/8.78  litorderings [0] =  split
% 8.42/8.78  litorderings [1] =  liftord
% 8.42/8.78  
% 8.42/8.78  termordering =      none
% 8.42/8.78  
% 8.42/8.78  litapriori =        1
% 8.42/8.78  termapriori =       0
% 8.42/8.78  litaposteriori =    0
% 8.42/8.78  termaposteriori =   0
% 8.42/8.78  demodaposteriori =  0
% 8.42/8.78  ordereqreflfact =   0
% 8.42/8.78  
% 8.42/8.78  litselect =         negative
% 8.42/8.78  
% 8.42/8.78  maxweight =         30000
% 8.42/8.78  maxdepth =          30000
% 8.42/8.78  maxlength =         115
% 8.42/8.78  maxnrvars =         195
% 8.42/8.78  excuselevel =       0
% 8.42/8.78  increasemaxweight = 0
% 8.42/8.78  
% 8.42/8.78  maxselected =       10000000
% 8.42/8.78  maxnrclauses =      10000000
% 8.42/8.78  
% 8.42/8.78  showgenerated =    0
% 8.42/8.78  showkept =         0
% 8.42/8.78  showselected =     0
% 8.42/8.78  showdeleted =      0
% 8.42/8.78  showresimp =       1
% 8.42/8.78  showstatus =       2000
% 8.42/8.78  
% 8.42/8.78  prologoutput =     1
% 8.42/8.78  nrgoals =          5000000
% 8.42/8.78  totalproof =       1
% 8.42/8.78  
% 8.42/8.78  Symbols occurring in the translation:
% 8.42/8.78  
% 8.42/8.78  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 8.42/8.78  .  [1, 2]      (w:1, o:32, a:1, s:1, b:0), 
% 8.42/8.78  !  [4, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 8.42/8.78  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.42/8.78  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 32.46/32.82  sum  [42, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 32.46/32.82  'additive_identity'  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 32.46/32.82  defined  [47, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 32.46/32.82  'additive_inverse'  [48, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 32.46/32.82  product  [49, 3]      (w:1, o:61, a:1, s:1, b:0), 
% 32.46/32.82  'multiplicative_identity'  [50, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 32.46/32.82  'multiplicative_inverse'  [51, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 32.46/32.82  add  [56, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 32.46/32.82  multiply  [57, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 32.46/32.82  'less_or_equal'  [58, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 32.46/32.82  a  [59, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 32.46/32.82  b  [60, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 32.46/32.82  c  [61, 0]      (w:1, o:23, a:1, s:1, b:0).
% 32.46/32.82  
% 32.46/32.82  
% 32.46/32.82  Starting Search:
% 32.46/32.82  
% 32.46/32.82  Resimplifying inuse:
% 32.46/32.82  Done
% 32.46/32.82  
% 32.46/32.82  
% 32.46/32.82  Intermediate Status:
% 32.46/32.82  Generated:    2330
% 32.46/32.82  Kept:         2001
% 32.46/32.82  Inuse:        206
% 32.46/32.82  Deleted:      0
% 32.46/32.82  Deletedinuse: 0
% 32.46/32.82  
% 32.46/32.82  Resimplifying inuse:
% 32.46/32.82  Done
% 32.46/32.82  
% 32.46/32.82  Resimplifying inuse:
% 32.46/32.82  Done
% 32.46/32.82  
% 32.46/32.82  
% 32.46/32.82  Intermediate Status:
% 32.46/32.82  Generated:    4676
% 32.46/32.82  Kept:         4014
% 32.46/32.82  Inuse:        352
% 32.46/32.82  Deleted:      5
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    6859
% 32.46/32.83  Kept:         6025
% 32.46/32.83  Inuse:        468
% 32.46/32.83  Deleted:      6
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    9080
% 32.46/32.83  Kept:         8030
% 32.46/32.83  Inuse:        576
% 32.46/32.83  Deleted:      9
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    11220
% 32.46/32.83  Kept:         10036
% 32.46/32.83  Inuse:        675
% 32.46/32.83  Deleted:      9
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    13308
% 32.46/32.83  Kept:         12039
% 32.46/32.83  Inuse:        765
% 32.46/32.83  Deleted:      9
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    15476
% 32.46/32.83  Kept:         14058
% 32.46/32.83  Inuse:        846
% 32.46/32.83  Deleted:      9
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    18078
% 32.46/32.83  Kept:         16066
% 32.46/32.83  Inuse:        929
% 32.46/32.83  Deleted:      9
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    20286
% 32.46/32.83  Kept:         18081
% 32.46/32.83  Inuse:        998
% 32.46/32.83  Deleted:      9
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying clauses:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    22992
% 32.46/32.83  Kept:         20746
% 32.46/32.83  Inuse:        1027
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    25416
% 32.46/32.83  Kept:         23155
% 32.46/32.83  Inuse:        1042
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    27912
% 32.46/32.83  Kept:         25636
% 32.46/32.83  Inuse:        1057
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    29970
% 32.46/32.83  Kept:         27637
% 32.46/32.83  Inuse:        1100
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    32039
% 32.46/32.83  Kept:         29643
% 32.46/32.83  Inuse:        1140
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    34091
% 32.46/32.83  Kept:         31677
% 32.46/32.83  Inuse:        1156
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    36779
% 32.46/32.83  Kept:         34354
% 32.46/32.83  Inuse:        1167
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    38803
% 32.46/32.83  Kept:         36366
% 32.46/32.83  Inuse:        1179
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    40821
% 32.46/32.83  Kept:         38373
% 32.46/32.83  Inuse:        1190
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying clauses:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    42935
% 32.46/32.83  Kept:         40402
% 32.46/32.83  Inuse:        1220
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 32.46/32.83  Generated:    45885
% 32.46/32.83  Kept:         43202
% 32.46/32.83  Inuse:        1267
% 32.46/32.83  Deleted:      14
% 32.46/32.83  Deletedinuse: 0
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  Resimplifying inuse:
% 32.46/32.83  Done
% 32.46/32.83  
% 32.46/32.83  
% 32.46/32.83  Intermediate Status:
% 68.42/68.78  Generated:    47962
% 68.42/68.78  Kept:         45240
% 68.42/68.78  Inuse:        1295
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    50453
% 68.42/68.78  Kept:         47701
% 68.42/68.78  Inuse:        1312
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    52933
% 68.42/68.78  Kept:         50122
% 68.42/68.78  Inuse:        1347
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    54973
% 68.42/68.78  Kept:         52136
% 68.42/68.78  Inuse:        1371
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    57837
% 68.42/68.78  Kept:         54957
% 68.42/68.78  Inuse:        1392
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    60234
% 68.42/68.78  Kept:         57311
% 68.42/68.78  Inuse:        1422
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    62690
% 68.42/68.78  Kept:         59757
% 68.42/68.78  Inuse:        1432
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying clauses:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    65178
% 68.42/68.78  Kept:         62235
% 68.42/68.78  Inuse:        1442
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    67698
% 68.42/68.78  Kept:         64745
% 68.42/68.78  Inuse:        1452
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    70067
% 68.42/68.78  Kept:         67098
% 68.42/68.78  Inuse:        1462
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    72303
% 68.42/68.78  Kept:         69230
% 68.42/68.78  Inuse:        1472
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.78  Generated:    74886
% 68.42/68.78  Kept:         71775
% 68.42/68.78  Inuse:        1482
% 68.42/68.78  Deleted:      14
% 68.42/68.78  Deletedinuse: 0
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  Resimplifying inuse:
% 68.42/68.78  Done
% 68.42/68.78  
% 68.42/68.78  
% 68.42/68.78  Intermediate Status:
% 68.42/68.79  Generated:    77510
% 68.42/68.79  Kept:         74389
% 68.42/68.79  Inuse:        1492
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    79931
% 68.42/68.79  Kept:         76696
% 68.42/68.79  Inuse:        1502
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    82337
% 68.42/68.79  Kept:         78988
% 68.42/68.79  Inuse:        1512
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    84901
% 68.42/68.79  Kept:         81370
% 68.42/68.79  Inuse:        1527
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying clauses:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    87103
% 68.42/68.79  Kept:         83380
% 68.42/68.79  Inuse:        1552
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    89205
% 68.42/68.79  Kept:         85438
% 68.42/68.79  Inuse:        1585
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    92093
% 68.42/68.79  Kept:         88257
% 68.42/68.79  Inuse:        1612
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    94925
% 68.42/68.79  Kept:         91079
% 68.42/68.79  Inuse:        1622
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    97789
% 68.42/68.79  Kept:         93933
% 68.42/68.79  Inuse:        1632
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    100685
% 68.42/68.79  Kept:         96819
% 68.42/68.79  Inuse:        1642
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    103613
% 68.42/68.79  Kept:         99737
% 68.42/68.79  Inuse:        1652
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  Resimplifying clauses:
% 68.42/68.79  Done
% 68.42/68.79  
% 68.42/68.79  
% 68.42/68.79  Intermediate Status:
% 68.42/68.79  Generated:    106573
% 68.42/68.79  Kept:         102687
% 68.42/68.79  Inuse:        1662
% 68.42/68.79  Deleted:      14
% 68.42/68.79  Deletedinuse: 0
% 68.42/68.79  
% 68.42/68.79  Resimplifying inuse:
% 68.42/68.79  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    109565
% 74.23/74.64  Kept:         105669
% 74.23/74.64  Inuse:        1672
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    112589
% 74.23/74.64  Kept:         108683
% 74.23/74.64  Inuse:        1682
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    115407
% 74.23/74.64  Kept:         111466
% 74.23/74.64  Inuse:        1692
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    117913
% 74.23/74.64  Kept:         113931
% 74.23/74.64  Inuse:        1702
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    120236
% 74.23/74.64  Kept:         115993
% 74.23/74.64  Inuse:        1743
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    122342
% 74.23/74.64  Kept:         118032
% 74.23/74.64  Inuse:        1768
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    124438
% 74.23/74.64  Kept:         120086
% 74.23/74.64  Inuse:        1794
% 74.23/74.64  Deleted:      14
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying clauses:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    126590
% 74.23/74.64  Kept:         122088
% 74.23/74.64  Inuse:        1826
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    128665
% 74.23/74.64  Kept:         124118
% 74.23/74.64  Inuse:        1853
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    130804
% 74.23/74.64  Kept:         126182
% 74.23/74.64  Inuse:        1878
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    133035
% 74.23/74.64  Kept:         128262
% 74.23/74.64  Inuse:        1904
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    135108
% 74.23/74.64  Kept:         130292
% 74.23/74.64  Inuse:        1930
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    137239
% 74.23/74.64  Kept:         132356
% 74.23/74.64  Inuse:        1955
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    139260
% 74.23/74.64  Kept:         134359
% 74.23/74.64  Inuse:        1964
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    142524
% 74.23/74.64  Kept:         137612
% 74.23/74.64  Inuse:        1972
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    144569
% 74.23/74.64  Kept:         139646
% 74.23/74.64  Inuse:        1980
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying clauses:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    147774
% 74.23/74.64  Kept:         142835
% 74.23/74.64  Inuse:        1987
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    149852
% 74.23/74.64  Kept:         144899
% 74.23/74.64  Inuse:        1995
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    153096
% 74.23/74.64  Kept:         148121
% 74.23/74.64  Inuse:        2002
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    155207
% 74.23/74.64  Kept:         150215
% 74.23/74.64  Inuse:        2010
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    158490
% 74.23/74.64  Kept:         153470
% 74.23/74.64  Inuse:        2017
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    160524
% 74.23/74.64  Kept:         155485
% 74.23/74.64  Inuse:        2024
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    162570
% 74.23/74.64  Kept:         157511
% 74.23/74.64  Inuse:        2031
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    165794
% 74.23/74.64  Kept:         160689
% 74.23/74.64  Inuse:        2037
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying clauses:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    168592
% 74.23/74.64  Kept:         163445
% 74.23/74.64  Inuse:        2047
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    171618
% 74.23/74.64  Kept:         166425
% 74.23/74.64  Inuse:        2057
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    173796
% 74.23/74.64  Kept:         168461
% 74.23/74.64  Inuse:        2078
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    175919
% 74.23/74.64  Kept:         170549
% 74.23/74.64  Inuse:        2100
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    178070
% 74.23/74.64  Kept:         172638
% 74.23/74.64  Inuse:        2121
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    180141
% 74.23/74.64  Kept:         174668
% 74.23/74.64  Inuse:        2145
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    182188
% 74.23/74.64  Kept:         176674
% 74.23/74.64  Inuse:        2166
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    184242
% 74.23/74.64  Kept:         178683
% 74.23/74.64  Inuse:        2189
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  Resimplifying inuse:
% 74.23/74.64  Done
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Intermediate Status:
% 74.23/74.64  Generated:    186332
% 74.23/74.64  Kept:         180735
% 74.23/74.64  Inuse:        2225
% 74.23/74.64  Deleted:      26
% 74.23/74.64  Deletedinuse: 0
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Bliksems!, er is een bewijs:
% 74.23/74.64  % SZS status Unsatisfiable
% 74.23/74.64  % SZS output start Refutation
% 74.23/74.64  
% 74.23/74.64  clause( 2, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 3, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( 
% 74.23/74.64    defined( X ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 14, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 21, [ ~( 'less_or_equal'( X, Z ) ), 'less_or_equal'( X, Y ), ~( 
% 74.23/74.64    'less_or_equal'( Z, Y ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( 
% 74.23/74.64    Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 26, [ defined( a ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 29, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 30, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 31, [ sum( a, b, c ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 32, [ ~( 'less_or_equal'( 'additive_identity', c ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 74, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 93, [ sum( b, a, c ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 119, [ sum( a, 'additive_inverse'( a ), 'additive_identity' ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 211, [ defined( 'additive_inverse'( a ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 229, [ sum( 'additive_identity', 'additive_inverse'( a ), 
% 74.23/74.64    'additive_inverse'( a ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 474, [ 'less_or_equal'( X, b ), ~( 'less_or_equal'( X, 
% 74.23/74.64    'additive_identity' ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 544, [ 'less_or_equal'( X, 'additive_identity' ), ~( 
% 74.23/74.64    'less_or_equal'( Y, a ) ), ~( sum( Y, 'additive_inverse'( a ), X ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 550, [ ~( 'less_or_equal'( Y, b ) ), 'less_or_equal'( X, c ), ~( 
% 74.23/74.64    sum( Y, a, X ) ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 179310, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 179311, [ 'less_or_equal'( 'additive_inverse'( a ), b ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 180942, [ 'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  .
% 74.23/74.64  clause( 180952, [] )
% 74.23/74.64  .
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  % SZS output end Refutation
% 74.23/74.64  found a proof!
% 74.23/74.64  
% 74.23/74.64  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 74.23/74.64  
% 74.23/74.64  initialclauses(
% 74.23/74.64  [ clause( 180954, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y )
% 74.23/74.64     ), ~( sum( U, W, Z ) ) ] )
% 74.23/74.64  , clause( 180955, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W )
% 74.23/74.64     ), ~( sum( T, W, Z ) ) ] )
% 74.23/74.64  , clause( 180956, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ]
% 74.23/74.64     )
% 74.23/74.64  , clause( 180957, [ sum( 'additive_inverse'( X ), X, 'additive_identity' )
% 74.23/74.64    , ~( defined( X ) ) ] )
% 74.23/74.64  , clause( 180958, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 74.23/74.64  , clause( 180959, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( 
% 74.23/74.64    T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 74.23/74.64  , clause( 180960, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( 
% 74.23/74.64    U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 74.23/74.64  , clause( 180961, [ product( 'multiplicative_identity', X, X ), ~( defined( 
% 74.23/74.64    X ) ) ] )
% 74.23/74.64  , clause( 180962, [ product( 'multiplicative_inverse'( X ), X, 
% 74.23/74.64    'multiplicative_identity' ), sum( 'additive_identity', X, 
% 74.23/74.64    'additive_identity' ), ~( defined( X ) ) ] )
% 74.23/74.64  , clause( 180963, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 74.23/74.64  , clause( 180964, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0
% 74.23/74.64    , Z ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 74.23/74.64  , clause( 180965, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T
% 74.23/74.64    , Y, W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 74.23/74.64  , clause( 180966, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( 
% 74.23/74.64    Y ) ) ] )
% 74.23/74.64  , clause( 180967, [ defined( 'additive_identity' ) ] )
% 74.23/74.64  , clause( 180968, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 74.23/74.64     )
% 74.23/74.64  , clause( 180969, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( 
% 74.23/74.64    defined( Y ) ) ] )
% 74.23/74.64  , clause( 180970, [ defined( 'multiplicative_identity' ) ] )
% 74.23/74.64  , clause( 180971, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X
% 74.23/74.64     ) ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 74.23/74.64  , clause( 180972, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( 
% 74.23/74.64    Y ) ) ] )
% 74.23/74.64  , clause( 180973, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), 
% 74.23/74.64    ~( defined( Y ) ) ] )
% 74.23/74.64  , clause( 180974, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X
% 74.23/74.64    , Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 74.23/74.64  , clause( 180975, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), 
% 74.23/74.64    ~( 'less_or_equal'( Z, Y ) ) ] )
% 74.23/74.64  , clause( 180976, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( 
% 74.23/74.64    defined( X ) ), ~( defined( Y ) ) ] )
% 74.23/74.64  , clause( 180977, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), 
% 74.23/74.64    ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 74.23/74.64  , clause( 180978, [ 'less_or_equal'( 'additive_identity', X ), ~( 
% 74.23/74.64    'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'( 
% 74.23/74.64    'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 74.23/74.64  , clause( 180979, [ ~( sum( 'additive_identity', 'additive_identity', 
% 74.23/74.64    'multiplicative_identity' ) ) ] )
% 74.23/74.64  , clause( 180980, [ defined( a ) ] )
% 74.23/74.64  , clause( 180981, [ defined( b ) ] )
% 74.23/74.64  , clause( 180982, [ defined( c ) ] )
% 74.23/74.64  , clause( 180983, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 74.23/74.64  , clause( 180984, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 74.23/74.64  , clause( 180985, [ sum( a, b, c ) ] )
% 74.23/74.64  , clause( 180986, [ ~( 'less_or_equal'( 'additive_identity', c ) ) ] )
% 74.23/74.64  ] ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 2, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 74.23/74.64  , clause( 180956, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ]
% 74.23/74.64     )
% 74.23/74.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 74.23/74.64    1 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 3, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( 
% 74.23/74.64    defined( X ) ) ] )
% 74.23/74.64  , clause( 180957, [ sum( 'additive_inverse'( X ), X, 'additive_identity' )
% 74.23/74.64    , ~( defined( X ) ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 74.23/74.64    1 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 74.23/74.64  , clause( 180958, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 74.23/74.64    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 14, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ] )
% 74.23/74.64  , clause( 180968, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 74.23/74.64     )
% 74.23/74.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 74.23/74.64    1 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 21, [ ~( 'less_or_equal'( X, Z ) ), 'less_or_equal'( X, Y ), ~( 
% 74.23/74.64    'less_or_equal'( Z, Y ) ) ] )
% 74.23/74.64  , clause( 180975, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), 
% 74.23/74.64    ~( 'less_or_equal'( Z, Y ) ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 74.23/74.64    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( 
% 74.23/74.64    Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 74.23/74.64  , clause( 180977, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), 
% 74.23/74.64    ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 74.23/74.64    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 74.23/74.64    , 3 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 26, [ defined( a ) ] )
% 74.23/74.64  , clause( 180980, [ defined( a ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 29, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 74.23/74.64  , clause( 180983, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 30, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 74.23/74.64  , clause( 180984, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 31, [ sum( a, b, c ) ] )
% 74.23/74.64  , clause( 180985, [ sum( a, b, c ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 32, [ ~( 'less_or_equal'( 'additive_identity', c ) ) ] )
% 74.23/74.64  , clause( 180986, [ ~( 'less_or_equal'( 'additive_identity', c ) ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181261, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ]
% 74.23/74.64     )
% 74.23/74.64  , clause( 3, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( 
% 74.23/74.64    defined( X ) ) ] )
% 74.23/74.64  , 1, clause( 26, [ defined( a ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 74, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ] )
% 74.23/74.64  , clause( 181261, [ sum( 'additive_inverse'( a ), a, 'additive_identity' )
% 74.23/74.64     ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181262, [ sum( b, a, c ) ] )
% 74.23/74.64  , clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 74.23/74.64  , 1, clause( 31, [ sum( a, b, c ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, c )] ), 
% 74.23/74.64    substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 93, [ sum( b, a, c ) ] )
% 74.23/74.64  , clause( 181262, [ sum( b, a, c ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181263, [ sum( a, 'additive_inverse'( a ), 'additive_identity' ) ]
% 74.23/74.64     )
% 74.23/74.64  , clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 74.23/74.64  , 1, clause( 74, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ]
% 74.23/74.64     )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, a ), :=( Y, 'additive_inverse'( a ) ), :=( Z
% 74.23/74.64    , 'additive_identity' )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 119, [ sum( a, 'additive_inverse'( a ), 'additive_identity' ) ] )
% 74.23/74.64  , clause( 181263, [ sum( a, 'additive_inverse'( a ), 'additive_identity' )
% 74.23/74.64     ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181264, [ defined( 'additive_inverse'( a ) ) ] )
% 74.23/74.64  , clause( 14, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ] )
% 74.23/74.64  , 1, clause( 26, [ defined( a ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 211, [ defined( 'additive_inverse'( a ) ) ] )
% 74.23/74.64  , clause( 181264, [ defined( 'additive_inverse'( a ) ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181265, [ sum( 'additive_identity', 'additive_inverse'( a ), 
% 74.23/74.64    'additive_inverse'( a ) ) ] )
% 74.23/74.64  , clause( 2, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 74.23/74.64  , 1, clause( 211, [ defined( 'additive_inverse'( a ) ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, 'additive_inverse'( a ) )] ), substitution( 
% 74.23/74.64    1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 229, [ sum( 'additive_identity', 'additive_inverse'( a ), 
% 74.23/74.64    'additive_inverse'( a ) ) ] )
% 74.23/74.64  , clause( 181265, [ sum( 'additive_identity', 'additive_inverse'( a ), 
% 74.23/74.64    'additive_inverse'( a ) ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181267, [ ~( 'less_or_equal'( X, 'additive_identity' ) ), 
% 74.23/74.64    'less_or_equal'( X, b ) ] )
% 74.23/74.64  , clause( 21, [ ~( 'less_or_equal'( X, Z ) ), 'less_or_equal'( X, Y ), ~( 
% 74.23/74.64    'less_or_equal'( Z, Y ) ) ] )
% 74.23/74.64  , 2, clause( 30, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, 'additive_identity'
% 74.23/74.64     )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 474, [ 'less_or_equal'( X, b ), ~( 'less_or_equal'( X, 
% 74.23/74.64    'additive_identity' ) ) ] )
% 74.23/74.64  , clause( 181267, [ ~( 'less_or_equal'( X, 'additive_identity' ) ), 
% 74.23/74.64    'less_or_equal'( X, b ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 74.23/74.64    0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181269, [ 'less_or_equal'( X, 'additive_identity' ), ~( 
% 74.23/74.64    'less_or_equal'( Y, a ) ), ~( sum( Y, 'additive_inverse'( a ), X ) ) ] )
% 74.23/74.64  , clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( 
% 74.23/74.64    sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 74.23/74.64  , 3, clause( 119, [ sum( a, 'additive_inverse'( a ), 'additive_identity' )
% 74.23/74.64     ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, Y
% 74.23/74.64     ), :=( T, a ), :=( U, 'additive_inverse'( a ) )] ), substitution( 1, [] )
% 74.23/74.64    ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 544, [ 'less_or_equal'( X, 'additive_identity' ), ~( 
% 74.23/74.64    'less_or_equal'( Y, a ) ), ~( sum( Y, 'additive_inverse'( a ), X ) ) ] )
% 74.23/74.64  , clause( 181269, [ 'less_or_equal'( X, 'additive_identity' ), ~( 
% 74.23/74.64    'less_or_equal'( Y, a ) ), ~( sum( Y, 'additive_inverse'( a ), X ) ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 74.23/74.64     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181271, [ 'less_or_equal'( X, c ), ~( 'less_or_equal'( Y, b ) ), 
% 74.23/74.64    ~( sum( Y, a, X ) ) ] )
% 74.23/74.64  , clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( 
% 74.23/74.64    sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 74.23/74.64  , 3, clause( 93, [ sum( b, a, c ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, Y ), :=( T, b ), 
% 74.23/74.64    :=( U, a )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 550, [ ~( 'less_or_equal'( Y, b ) ), 'less_or_equal'( X, c ), ~( 
% 74.23/74.64    sum( Y, a, X ) ) ] )
% 74.23/74.64  , clause( 181271, [ 'less_or_equal'( X, c ), ~( 'less_or_equal'( Y, b ) ), 
% 74.23/74.64    ~( sum( Y, a, X ) ) ] )
% 74.23/74.64  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 74.23/74.64     ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181272, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ), ~( 'less_or_equal'( 'additive_identity', a ) ) ]
% 74.23/74.64     )
% 74.23/74.64  , clause( 544, [ 'less_or_equal'( X, 'additive_identity' ), ~( 
% 74.23/74.64    'less_or_equal'( Y, a ) ), ~( sum( Y, 'additive_inverse'( a ), X ) ) ] )
% 74.23/74.64  , 2, clause( 229, [ sum( 'additive_identity', 'additive_inverse'( a ), 
% 74.23/74.64    'additive_inverse'( a ) ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, 'additive_inverse'( a ) ), :=( Y, 
% 74.23/74.64    'additive_identity' )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181273, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ) ] )
% 74.23/74.64  , clause( 181272, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ), ~( 'less_or_equal'( 'additive_identity', a ) ) ]
% 74.23/74.64     )
% 74.23/74.64  , 1, clause( 29, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 74.23/74.64  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 179310, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ) ] )
% 74.23/74.64  , clause( 181273, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181274, [ 'less_or_equal'( 'additive_inverse'( a ), b ) ] )
% 74.23/74.64  , clause( 474, [ 'less_or_equal'( X, b ), ~( 'less_or_equal'( X, 
% 74.23/74.64    'additive_identity' ) ) ] )
% 74.23/74.64  , 1, clause( 179310, [ 'less_or_equal'( 'additive_inverse'( a ), 
% 74.23/74.64    'additive_identity' ) ] )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, 'additive_inverse'( a ) )] ), substitution( 
% 74.23/74.64    1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 179311, [ 'less_or_equal'( 'additive_inverse'( a ), b ) ] )
% 74.23/74.64  , clause( 181274, [ 'less_or_equal'( 'additive_inverse'( a ), b ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181275, [ ~( 'less_or_equal'( 'additive_inverse'( a ), b ) ), 
% 74.23/74.64    'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  , clause( 550, [ ~( 'less_or_equal'( Y, b ) ), 'less_or_equal'( X, c ), ~( 
% 74.23/74.64    sum( Y, a, X ) ) ] )
% 74.23/74.64  , 2, clause( 74, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ]
% 74.23/74.64     )
% 74.23/74.64  , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, 
% 74.23/74.64    'additive_inverse'( a ) )] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181276, [ 'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  , clause( 181275, [ ~( 'less_or_equal'( 'additive_inverse'( a ), b ) ), 
% 74.23/74.64    'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  , 0, clause( 179311, [ 'less_or_equal'( 'additive_inverse'( a ), b ) ] )
% 74.23/74.64  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 180942, [ 'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  , clause( 181276, [ 'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  resolution(
% 74.23/74.64  clause( 181277, [] )
% 74.23/74.64  , clause( 32, [ ~( 'less_or_equal'( 'additive_identity', c ) ) ] )
% 74.23/74.64  , 0, clause( 180942, [ 'less_or_equal'( 'additive_identity', c ) ] )
% 74.23/74.64  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  subsumption(
% 74.23/74.64  clause( 180952, [] )
% 74.23/74.64  , clause( 181277, [] )
% 74.23/74.64  , substitution( 0, [] ), permutation( 0, [] ) ).
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  end.
% 74.23/74.64  
% 74.23/74.64  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 74.23/74.64  
% 74.23/74.64  Memory use:
% 74.23/74.64  
% 74.23/74.64  space for terms:        2592138
% 74.23/74.64  space for clauses:      13303320
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  clauses generated:      186614
% 74.23/74.64  clauses kept:           180953
% 74.23/74.64  clauses selected:       2240
% 74.23/74.64  clauses deleted:        27
% 74.23/74.64  clauses inuse deleted:  0
% 74.23/74.64  
% 74.23/74.64  subsentry:          431134
% 74.23/74.64  literals s-matched: 197879
% 74.23/74.64  literals matched:   137339
% 74.23/74.64  full subsumption:   102579
% 74.23/74.64  
% 74.23/74.64  checksum:           1033284076
% 74.23/74.64  
% 74.23/74.64  
% 74.23/74.64  Bliksem ended
%------------------------------------------------------------------------------